%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP128-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:38:36 PM UTC 2026
% Result : Satisfiable 8.38s 1.72s
% Output : Saturation 8.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_25ERROR: Could not build tree for root c_0_29ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_26,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_25,
[final] ).
cnf(c_0_27,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_29,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) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_30,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X3,X4)
| product(X1,X2,X3) ),
c_0_28,
[final] ).
cnf(c_0_38,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_40,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_36,
[final] ).
cnf(c_0_41,negated_conjecture,
product(e_2,e_2,e_2),
inference(spm,[status(thm)],[c_0_37,c_0_35]),
[final] ).
cnf(c_0_44,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) ),
inference(spm,[status(thm)],[c_0_26,c_0_38]),
[final] ).
cnf(c_0_45,plain,
~ equalish(e_1,e_2),
c_0_39,
[final] ).
cnf(c_0_46,negated_conjecture,
( ~ product(e_2,X1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]),
[final] ).
cnf(c_0_47,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,e_4,X2)
| product(X1,e_3,X2)
| product(X1,e_2,X2)
| product(X1,e_1,X2) ),
c_0_42,
[final] ).
cnf(c_0_48,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_43,
[final] ).
cnf(c_0_51,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_52,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_2,e_1)
| product(X1,e_3,e_1)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_38]),
[final] ).
cnf(c_0_53,negated_conjecture,
( ~ product(e_2,e_2,X1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_41]),
[final] ).
cnf(c_0_55,negated_conjecture,
( ~ product(X4,X2,X1)
| ~ product(X4,X1,X3)
| product(X1,X2,X3) ),
c_0_49,
[final] ).
cnf(c_0_59,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(spm,[status(thm)],[c_0_45,c_0_53]),
[final] ).
cnf(c_0_60,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_54,
[final] ).
cnf(c_0_62,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(e_4,X1,X2)
| product(e_3,X1,X2)
| product(e_2,X1,X2)
| product(e_1,X1,X2) ),
c_0_57,
[final] ).
cnf(c_0_68,plain,
( ~ group_element(X1)
| product(e_1,X1,e_2)
| product(e_2,X1,e_2)
| product(e_3,X1,e_2)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_62,c_0_27]),
[final] ).
cnf(c_0_69,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_70,plain,
~ equalish(e_4,e_2),
c_0_63,
[final] ).
cnf(c_0_72,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_45]),
[final] ).
cnf(c_0_73,plain,
~ equalish(e_4,e_1),
c_0_67,
[final] ).
cnf(c_0_77,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_70,c_0_46]),
[final] ).
cnf(c_0_79,plain,
~ equalish(e_3,e_1),
c_0_74,
[final] ).
cnf(c_0_80,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
c_0_75,
[final] ).
cnf(c_0_83,negated_conjecture,
( ~ product(X1,e_2,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_41]),
[final] ).
cnf(c_0_84,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_78]),c_0_79]),
[final] ).
cnf(c_0_87,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_70,c_0_83]),
[final] ).
cnf(c_0_88,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(spm,[status(thm)],[c_0_70,c_0_53]),
[final] ).
cnf(c_0_90,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_84]),
[final] ).
cnf(c_0_95,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) ),
inference(spm,[status(thm)],[c_0_26,c_0_69]),
[final] ).
cnf(c_0_96,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_99,plain,
~ equalish(e_1,e_4),
c_0_93,
[final] ).
cnf(c_0_102,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_45,c_0_83]),
[final] ).
cnf(c_0_104,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) ),
inference(spm,[status(thm)],[c_0_26,c_0_96]),
[final] ).
cnf(c_0_105,plain,
( ~ group_element(X1)
| product(X1,e_1,e_2)
| product(X1,e_2,e_2)
| product(X1,e_3,e_2)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_27]),
[final] ).
cnf(c_0_110,plain,
( ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_2,X1,e_1)
| product(e_3,X1,e_1)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_62,c_0_38]),
[final] ).
cnf(c_0_115,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_79]),
[final] ).
cnf(c_0_116,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_45]),
[final] ).
cnf(c_0_125,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_90,c_0_115]),
[final] ).
cnf(c_0_126,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_116]),
[final] ).
cnf(c_0_130,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_99]),
[final] ).
cnf(c_0_134,plain,
~ equalish(e_1,e_3),
c_0_122,
[final] ).
cnf(c_0_138,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_115]),
[final] ).
cnf(c_0_139,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_72]),c_0_77]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_45]),
[final] ).
cnf(c_0_142,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_130]),
[final] ).
cnf(c_0_143,plain,
~ equalish(e_2,e_4),
c_0_131,
[final] ).
cnf(c_0_144,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),
[final] ).
cnf(c_0_145,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_116]),
[final] ).
cnf(c_0_149,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_1,e_4,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_84]),
[final] ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_99]),
[final] ).
cnf(c_0_153,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_141]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_141]),c_0_143]),
[final] ).
cnf(c_0_155,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_144]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]),
[final] ).
cnf(c_0_160,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_45]),
[final] ).
cnf(c_0_166,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_115]),
[final] ).
cnf(c_0_167,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_70]),
[final] ).
cnf(c_0_168,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_2,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_160]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_161]),c_0_87]),
[final] ).
cnf(c_0_172,plain,
~ equalish(e_2,e_3),
c_0_164,
[final] ).
cnf(c_0_173,plain,
~ equalish(e_3,e_2),
c_0_165,
[final] ).
cnf(c_0_176,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_166,c_0_159]),
[final] ).
cnf(c_0_177,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_167]),
[final] ).
cnf(c_0_178,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_116]),c_0_102]),
[final] ).
cnf(c_0_180,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_169]),
[final] ).
cnf(c_0_182,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_173,c_0_83]),
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_176]),
[final] ).
cnf(c_0_187,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_177,c_0_159]),
[final] ).
cnf(c_0_190,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_160]),
[final] ).
cnf(c_0_193,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),
[final] ).
cnf(c_0_197,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]),
[final] ).
cnf(c_0_198,plain,
~ equalish(e_3,e_4),
c_0_188,
[final] ).
cnf(c_0_199,plain,
( ~ group_element(X1)
| product(X1,e_1,e_4)
| product(X1,e_2,e_4)
| product(X1,e_3,e_4)
| product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_69]),
[final] ).
cnf(c_0_202,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_116]),
[final] ).
cnf(c_0_204,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_154]),
[final] ).
cnf(c_0_208,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_72]),
[final] ).
cnf(c_0_213,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_178]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_73]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_207,c_0_195]),
[final] ).
cnf(c_0_221,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_1,e_3,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_197]),
[final] ).
cnf(c_0_229,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_215]),
[final] ).
cnf(c_0_230,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_216]),c_0_87]),
[final] ).
cnf(c_0_232,plain,
~ equalish(e_2,e_1),
c_0_218,
[final] ).
cnf(c_0_235,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_72]),
[final] ).
cnf(c_0_236,negated_conjecture,
( ~ product(X1,e_3,e_3)
| product(e_3,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_220]),
[final] ).
cnf(c_0_239,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_173,c_0_53]),
[final] ).
cnf(c_0_240,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_144]),
[final] ).
cnf(c_0_241,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_45]),
[final] ).
cnf(c_0_248,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_160]),
[final] ).
cnf(c_0_250,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_139]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_235,c_0_139]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_197]),
[final] ).
cnf(c_0_257,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_241]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_99]),
[final] ).
cnf(c_0_262,plain,
~ equalish(e_4,e_3),
c_0_246,
[final] ).
cnf(c_0_263,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_230]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(e_3,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_220]),
[final] ).
cnf(c_0_268,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_252]),
[final] ).
cnf(c_0_272,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_70]),
[final] ).
cnf(c_0_274,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]),
[final] ).
cnf(c_0_275,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_262]),
[final] ).
cnf(c_0_276,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_241]),
[final] ).
cnf(c_0_278,plain,
( ~ group_element(X1)
| product(e_1,X1,e_4)
| product(e_2,X1,e_4)
| product(e_3,X1,e_4)
| product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_62,c_0_69]),
[final] ).
cnf(c_0_279,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_178]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_141]),c_0_134]),
[final] ).
cnf(c_0_286,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_230]),
[final] ).
cnf(c_0_289,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_232]),
[final] ).
cnf(c_0_290,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_241]),
[final] ).
cnf(c_0_291,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_275]),
[final] ).
cnf(c_0_294,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_79]),
[final] ).
cnf(c_0_295,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_232]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_79]),
[final] ).
cnf(c_0_301,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_289]),
[final] ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_182]),
[final] ).
cnf(c_0_305,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_2,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_294]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_250,c_0_295]),
[final] ).
cnf(c_0_307,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(e_3,e_4,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_296]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_99]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_229,c_0_303]),
[final] ).
cnf(c_0_321,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_215]),c_0_102]),
[final] ).
cnf(c_0_324,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_306]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_197]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_99]),
[final] ).
cnf(c_0_332,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_4,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_317]),
[final] ).
cnf(c_0_333,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_318]),
[final] ).
cnf(c_0_335,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_169]),
[final] ).
cnf(c_0_336,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_321]),
[final] ).
cnf(c_0_339,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_178]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_324,c_0_72]),
[final] ).
cnf(c_0_341,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(spm,[status(thm)],[c_0_173,c_0_46]),
[final] ).
cnf(c_0_342,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_325]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_326,c_0_308]),
[final] ).
cnf(c_0_345,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_327,c_0_309]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_328,c_0_310]),
[final] ).
cnf(c_0_347,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(X1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_329]),
[final] ).
cnf(c_0_350,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_332,c_0_178]),
[final] ).
cnf(c_0_351,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_215]),
[final] ).
cnf(c_0_354,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_141]),
[final] ).
cnf(c_0_355,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_336,c_0_294]),
[final] ).
cnf(c_0_358,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_141]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_341]),
[final] ).
cnf(c_0_360,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_143]),
[final] ).
cnf(c_0_361,negated_conjecture,
( ~ product(e_4,X1,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_344]),
[final] ).
cnf(c_0_362,negated_conjecture,
( ~ product(e_4,X1,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_345]),
[final] ).
cnf(c_0_363,negated_conjecture,
( ~ product(e_4,X1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_346]),
[final] ).
cnf(c_0_364,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_329]),
[final] ).
cnf(c_0_366,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_193]),
[final] ).
cnf(c_0_373,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_329]),
[final] ).
cnf(c_0_374,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_350]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_70]),
[final] ).
cnf(c_0_376,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_353]),c_0_182]),
[final] ).
cnf(c_0_378,plain,
( ~ group_element(X1)
| product(e_1,X1,e_3)
| product(e_2,X1,e_3)
| product(e_3,X1,e_3)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_62,c_0_96]),
[final] ).
cnf(c_0_379,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_79]),
[final] ).
cnf(c_0_382,plain,
( ~ group_element(X1)
| product(X1,e_1,e_3)
| product(X1,e_2,e_3)
| product(X1,e_3,e_3)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_96]),
[final] ).
cnf(c_0_385,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_169]),
[final] ).
cnf(c_0_386,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_2,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_360]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_329]),c_0_99]),
[final] ).
cnf(c_0_388,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_130]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_329]),c_0_99]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_329]),c_0_99]),
[final] ).
cnf(c_0_391,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_346]),
[final] ).
cnf(c_0_392,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_99]),
[final] ).
cnf(c_0_393,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_272]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_99]),
[final] ).
cnf(c_0_396,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_230]),
[final] ).
cnf(c_0_397,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_70]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_73]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_373,c_0_329]),
[final] ).
cnf(c_0_400,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_130]),
[final] ).
cnf(c_0_401,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_79]),
[final] ).
cnf(c_0_402,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_376]),
[final] ).
cnf(c_0_403,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_375]),c_0_79]),
[final] ).
cnf(c_0_406,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_379]),c_0_99]),
[final] ).
cnf(c_0_407,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_294]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_340]),c_0_59]),
[final] ).
cnf(c_0_413,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_197]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_386,c_0_325]),
[final] ).
cnf(c_0_415,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_387]),
[final] ).
cnf(c_0_416,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_344]),c_0_73]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_389]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_345]),c_0_73]),
[final] ).
cnf(c_0_419,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_390]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_130]),c_0_99]),
[final] ).
cnf(c_0_422,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_345]),
[final] ).
cnf(c_0_423,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_392]),
[final] ).
cnf(c_0_425,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_394]),
[final] ).
cnf(c_0_430,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_398]),
[final] ).
cnf(c_0_431,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_399]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_400,c_0_130]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_258]),
[final] ).
cnf(c_0_435,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_401]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_99]),
[final] ).
cnf(c_0_439,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_379]),
[final] ).
cnf(c_0_444,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_2,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_359]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_73]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_413,c_0_414]),
[final] ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_141]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_421]),c_0_99]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_258]),c_0_99]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_258]),c_0_99]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_143]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_425,c_0_116]),
[final] ).
cnf(c_0_456,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_258]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_134]),
[final] ).
cnf(c_0_458,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_344]),
[final] ).
cnf(c_0_459,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_193]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_258]),
[final] ).
cnf(c_0_467,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_403]),
[final] ).
cnf(c_0_468,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_435,c_0_436]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_275]),c_0_99]),
[final] ).
cnf(c_0_471,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_2,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_355]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_182]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_321]),c_0_79]),
[final] ).
cnf(c_0_477,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_412]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]),
[final] ).
cnf(c_0_479,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_359]),
[final] ).
cnf(c_0_480,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_340]),
[final] ).
cnf(c_0_481,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_282]),
[final] ).
cnf(c_0_482,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_4,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_325]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_446]),c_0_79]),
[final] ).
cnf(c_0_484,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_150]),
[final] ).
cnf(c_0_488,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_392]),
[final] ).
cnf(c_0_489,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_451]),
[final] ).
cnf(c_0_490,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_452]),
[final] ).
cnf(c_0_491,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_453]),
[final] ).
cnf(c_0_492,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_418]),
[final] ).
cnf(c_0_493,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_420]),
[final] ).
cnf(c_0_494,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_454]),
[final] ).
cnf(c_0_495,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_455]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_258]),c_0_99]),
[final] ).
cnf(c_0_498,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_455]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_397]),
[final] ).
cnf(c_0_502,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_262]),
[final] ).
cnf(c_0_505,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_398]),
[final] ).
cnf(c_0_506,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_420]),
[final] ).
cnf(c_0_507,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_416]),
[final] ).
cnf(c_0_509,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_464]),
[final] ).
cnf(c_0_510,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_4,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_432]),
[final] ).
cnf(c_0_512,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_432]),
[final] ).
cnf(c_0_513,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_376]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_467,c_0_468]),
[final] ).
cnf(c_0_517,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_4,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_469]),
[final] ).
cnf(c_0_519,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_379]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_471,c_0_472]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_232]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_477,c_0_478]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_479,c_0_412]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_480,c_0_412]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_481,c_0_306]),
[final] ).
cnf(c_0_528,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_252]),
[final] ).
cnf(c_0_529,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_296]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_482,c_0_483]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_484,c_0_167]),
[final] ).
cnf(c_0_532,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_416]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_485]),c_0_262]),
[final] ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_418]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_486]),c_0_262]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_487]),c_0_262]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_488,c_0_451]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_489,c_0_392]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_490,c_0_418]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_491,c_0_420]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_492,c_0_452]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_493,c_0_453]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_241]),c_0_87]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_193]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_70]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_497]),c_0_70]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_262]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_500]),c_0_262]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_453]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_501,c_0_502]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_497]),
[final] ).
cnf(c_0_552,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_452]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_173]),c_0_505]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_376]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_416]),c_0_70]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_418]),c_0_70]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_169]),c_0_143]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_507,c_0_497]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_508]),c_0_262]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_509,c_0_432]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_510,c_0_464]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_464]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_464]),c_0_70]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_169]),c_0_143]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_169]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_398]),c_0_45]),
[final] ).
cnf(c_0_572,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_2,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_401]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_143]),
[final] ).
cnf(c_0_574,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_375]),
[final] ).
cnf(c_0_575,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_3,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_303]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_517,c_0_215]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_275]),
[final] ).
cnf(c_0_578,plain,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_38]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_518,c_0_470]),
[final] ).
cnf(c_0_580,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_38]),
[final] ).
cnf(c_0_581,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_4,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_472]),
[final] ).
cnf(c_0_582,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_406]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_519,c_0_520]),
[final] ).
cnf(c_0_584,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_289]),
[final] ).
cnf(c_0_585,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_406]),
[final] ).
cnf(c_0_586,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_355]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_474]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_407,c_0_521]),
[final] ).
cnf(c_0_589,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_321]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_522,c_0_475]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_474]),c_0_232]),
[final] ).
cnf(c_0_592,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_524]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_525]),
[final] ).
cnf(c_0_594,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_526]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_527]),
[final] ).
cnf(c_0_596,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_295]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_528,c_0_282]),
[final] ).
cnf(c_0_598,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_483]),
[final] ).
cnf(c_0_599,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_483]),
[final] ).
cnf(c_0_600,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_360]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_529,c_0_530]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_531]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_125]),
[final] ).
cnf(c_0_604,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_44,c_0_38]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_143]),
[final] ).
cnf(c_0_606,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_533]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_535]),c_0_143]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_535]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_536]),c_0_143]),
[final] ).
cnf(c_0_610,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_536]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_537]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_538]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_539]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_540]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_541]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_542]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_543]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_545]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_544,c_0_546]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_544,c_0_547]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_548]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_143]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_550]),c_0_143]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_550]),c_0_143]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_553]),c_0_143]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_553]),c_0_143]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_143]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_454]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_554,c_0_555]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_554,c_0_556]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_554,c_0_557]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_392]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_451]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_558]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_559]),c_0_143]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_559]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_560]),
[final] ).
cnf(c_0_638,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_502]),
[final] ).
cnf(c_0_639,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_397]),
[final] ).
cnf(c_0_640,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_397]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_397]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_561,c_0_553]),c_0_182]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_553]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_562]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_497]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_497]),
[final] ).
cnf(c_0_647,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_452]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_452]),
[final] ).
cnf(c_0_649,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_453]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_453]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_387]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_387]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_389]),
[final] ).
cnf(c_0_654,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_389]),
[final] ).
cnf(c_0_655,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_390]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_390]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_416]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_416]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_418]),
[final] ).
cnf(c_0_660,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_418]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_143]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_544,c_0_565]),
[final] ).
cnf(c_0_663,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_464]),c_0_70]),
[final] ).
cnf(c_0_664,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_554,c_0_567]),
[final] ).
cnf(c_0_665,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_554,c_0_241]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_568,c_0_569]),
[final] ).
cnf(c_0_667,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_398]),
[final] ).
cnf(c_0_668,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_398]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_398]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_571]),c_0_134]),
[final] ).
cnf(c_0_671,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_464]),
[final] ).
cnf(c_0_672,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_464]),
[final] ).
cnf(c_0_673,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_141]),
[final] ).
cnf(c_0_674,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_399]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_399]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_399]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_572,c_0_573]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_574,c_0_403]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_403]),
[final] ).
cnf(c_0_680,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_375]),
[final] ).
cnf(c_0_681,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_375]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_375]),
[final] ).
cnf(c_0_683,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_420]),
[final] ).
cnf(c_0_684,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_420]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_575,c_0_576]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_577,c_0_318]),
[final] ).
cnf(c_0_687,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_469]),
[final] ).
cnf(c_0_688,plain,
( ~ product(e_1,X1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_578]),
[final] ).
cnf(c_0_689,negated_conjecture,
( ~ product(e_3,X1,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_579]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_272]),
[final] ).
cnf(c_0_691,plain,
( ~ product(e_1,X1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_580]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_581,c_0_406]),
[final] ).
cnf(c_0_693,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_582,c_0_583]),
[final] ).
cnf(c_0_694,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_258]),
[final] ).
cnf(c_0_695,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_258]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_584,c_0_350]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_585,c_0_355]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_586,c_0_379]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_587,c_0_588]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_589,c_0_474]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(e_3,X1,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_590]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_305,c_0_591]),
[final] ).
cnf(c_0_703,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_379]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_355]),
[final] ).
cnf(c_0_705,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_355]),
[final] ).
cnf(c_0_706,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_355]),
[final] ).
cnf(c_0_707,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_321]),
[final] ).
cnf(c_0_708,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_215]),
[final] ).
cnf(c_0_709,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_215]),
[final] ).
cnf(c_0_710,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_329]),
[final] ).
cnf(c_0_711,negated_conjecture,
( ~ product(e_4,X1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_329]),
[final] ).
cnf(c_0_712,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_241]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_592,c_0_340]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_593,c_0_526]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_594,c_0_445]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_193]),
[final] ).
cnf(c_0_717,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_412]),
[final] ).
cnf(c_0_718,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_169]),
[final] ).
cnf(c_0_719,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_169]),
[final] ).
cnf(c_0_720,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_213,c_0_289]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_595,c_0_252]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_596,c_0_597]),
[final] ).
cnf(c_0_723,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_340]),
[final] ).
cnf(c_0_724,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_340]),
[final] ).
cnf(c_0_725,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_340]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_141]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_294]),
[final] ).
cnf(c_0_728,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_294]),
[final] ).
cnf(c_0_729,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_294]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_598,c_0_360]),
[final] ).
cnf(c_0_731,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_599,c_0_446]),
[final] ).
cnf(c_0_732,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_600,c_0_601]),
[final] ).
cnf(c_0_733,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_178]),
[final] ).
cnf(c_0_734,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_160]),
[final] ).
cnf(c_0_735,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_160]),
[final] ).
cnf(c_0_736,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_160]),
[final] ).
cnf(c_0_737,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_296]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_602,c_0_115]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_603,c_0_167]),
[final] ).
cnf(c_0_740,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_197]),
[final] ).
cnf(c_0_741,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_197]),
[final] ).
cnf(c_0_742,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_197]),
[final] ).
cnf(c_0_743,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_139]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_116]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_116]),
[final] ).
cnf(c_0_746,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_115]),
[final] ).
cnf(c_0_747,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_84]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_84]),
[final] ).
cnf(c_0_749,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_84]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_72]),
[final] ).
cnf(c_0_751,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_72]),
[final] ).
cnf(c_0_752,plain,
( ~ product(e_1,X1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_604]),
[final] ).
cnf(c_0_753,negated_conjecture,
( ~ product(e_3,X1,e_3)
| product(e_3,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_220]),
[final] ).
cnf(c_0_754,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_432]),
[final] ).
cnf(c_0_755,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_4,e_4)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_432]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_537]),
[final] ).
cnf(c_0_757,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_537]),
[final] ).
cnf(c_0_758,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_537]),
[final] ).
cnf(c_0_759,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_538]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_538]),
[final] ).
cnf(c_0_761,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_538]),
[final] ).
cnf(c_0_762,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_539]),
[final] ).
cnf(c_0_763,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_539]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_539]),
[final] ).
cnf(c_0_765,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_540]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_540]),
[final] ).
cnf(c_0_767,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_540]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_541]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_541]),
[final] ).
cnf(c_0_770,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_541]),
[final] ).
cnf(c_0_771,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_542]),
[final] ).
cnf(c_0_772,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_542]),
[final] ).
cnf(c_0_773,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_542]),
[final] ).
cnf(c_0_774,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_605]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_605]),
[final] ).
cnf(c_0_776,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_605]),
[final] ).
cnf(c_0_777,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_533]),
[final] ).
cnf(c_0_778,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_533]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_533]),
[final] ).
cnf(c_0_780,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_605]),
[final] ).
cnf(c_0_781,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_605]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_605]),
[final] ).
cnf(c_0_783,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_533]),
[final] ).
cnf(c_0_784,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_533]),
[final] ).
cnf(c_0_785,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_606,c_0_533]),
[final] ).
cnf(c_0_786,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_607]),
[final] ).
cnf(c_0_787,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_607]),
[final] ).
cnf(c_0_788,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_607]),
[final] ).
cnf(c_0_789,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_535]),
[final] ).
cnf(c_0_790,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_535]),
[final] ).
cnf(c_0_791,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_535]),
[final] ).
cnf(c_0_792,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_607]),
[final] ).
cnf(c_0_793,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_607]),
[final] ).
cnf(c_0_794,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_607]),
[final] ).
cnf(c_0_795,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_535]),
[final] ).
cnf(c_0_796,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_535]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_608,c_0_535]),
[final] ).
cnf(c_0_798,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_609]),
[final] ).
cnf(c_0_799,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_609]),
[final] ).
cnf(c_0_800,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_609]),
[final] ).
cnf(c_0_801,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_536]),
[final] ).
cnf(c_0_802,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_536]),
[final] ).
cnf(c_0_803,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_536]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_609]),
[final] ).
cnf(c_0_805,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_609]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_609]),
[final] ).
cnf(c_0_807,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_536]),
[final] ).
cnf(c_0_808,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_536]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_610,c_0_536]),
[final] ).
cnf(c_0_810,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_537]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_611,c_0_537]),
[final] ).
cnf(c_0_812,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_537]),
[final] ).
cnf(c_0_813,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_538]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_612,c_0_538]),
[final] ).
cnf(c_0_815,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_538]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_539]),
[final] ).
cnf(c_0_817,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_613,c_0_539]),
[final] ).
cnf(c_0_818,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_539]),
[final] ).
cnf(c_0_819,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_540]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_4,e_3,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_614,c_0_540]),
[final] ).
cnf(c_0_821,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_540]),
[final] ).
cnf(c_0_822,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_541]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_615,c_0_541]),
[final] ).
cnf(c_0_824,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_541]),
[final] ).
cnf(c_0_825,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_542]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_616,c_0_542]),
[final] ).
cnf(c_0_827,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_542]),
[final] ).
cnf(c_0_828,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_543]),
[final] ).
cnf(c_0_829,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_543]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_543]),
[final] ).
cnf(c_0_831,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_454]),
[final] ).
cnf(c_0_832,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_543]),
[final] ).
cnf(c_0_833,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_543]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_617,c_0_543]),
[final] ).
cnf(c_0_835,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_454]),
[final] ).
cnf(c_0_836,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_618]),
[final] ).
cnf(c_0_837,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_618]),
[final] ).
cnf(c_0_838,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_618]),
[final] ).
cnf(c_0_839,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_545]),
[final] ).
cnf(c_0_840,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_545]),
[final] ).
cnf(c_0_841,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_545]),
[final] ).
cnf(c_0_842,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_392]),
[final] ).
cnf(c_0_843,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_392]),
[final] ).
cnf(c_0_844,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_451]),
[final] ).
cnf(c_0_845,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_451]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_619]),
[final] ).
cnf(c_0_847,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_619]),
[final] ).
cnf(c_0_848,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_619]),
[final] ).
cnf(c_0_849,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_620]),
[final] ).
cnf(c_0_850,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_620]),
[final] ).
cnf(c_0_851,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_620]),
[final] ).
cnf(c_0_852,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_621]),
[final] ).
cnf(c_0_853,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_621]),
[final] ).
cnf(c_0_854,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_621]),
[final] ).
cnf(c_0_855,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_558]),
[final] ).
cnf(c_0_856,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_558]),
[final] ).
cnf(c_0_857,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_558]),
[final] ).
cnf(c_0_858,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_622]),
[final] ).
cnf(c_0_859,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_622]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_622]),
[final] ).
cnf(c_0_861,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_623]),
[final] ).
cnf(c_0_862,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_623]),
[final] ).
cnf(c_0_863,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_623]),
[final] ).
cnf(c_0_864,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_624]),
[final] ).
cnf(c_0_865,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_624]),
[final] ).
cnf(c_0_866,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_624]),
[final] ).
cnf(c_0_867,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_625]),
[final] ).
cnf(c_0_868,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_625]),
[final] ).
cnf(c_0_869,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_625]),
[final] ).
cnf(c_0_870,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_626]),
[final] ).
cnf(c_0_871,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_626]),
[final] ).
cnf(c_0_872,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_626]),
[final] ).
cnf(c_0_873,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_627]),
[final] ).
cnf(c_0_874,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_454]),
[final] ).
cnf(c_0_875,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_454]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_3,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_628,c_0_454]),
[final] ).
cnf(c_0_877,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_627]),
[final] ).
cnf(c_0_878,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_627]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_629]),
[final] ).
cnf(c_0_880,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_629]),
[final] ).
cnf(c_0_881,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_629]),
[final] ).
cnf(c_0_882,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_546]),
[final] ).
cnf(c_0_883,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_546]),
[final] ).
cnf(c_0_884,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_546]),
[final] ).
cnf(c_0_885,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_547]),
[final] ).
cnf(c_0_886,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_547]),
[final] ).
cnf(c_0_887,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_547]),
[final] ).
cnf(c_0_888,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_548]),
[final] ).
cnf(c_0_889,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_548]),
[final] ).
cnf(c_0_890,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_548]),
[final] ).
cnf(c_0_891,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_630]),
[final] ).
cnf(c_0_892,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_630]),
[final] ).
cnf(c_0_893,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_630]),
[final] ).
cnf(c_0_894,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_631]),
[final] ).
cnf(c_0_895,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_631]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_631]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_560]),
[final] ).
cnf(c_0_898,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_560]),
[final] ).
cnf(c_0_899,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_560]),
[final] ).
cnf(c_0_900,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_562]),
[final] ).
cnf(c_0_901,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_562]),
[final] ).
cnf(c_0_902,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_562]),
[final] ).
cnf(c_0_903,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_555]),
[final] ).
cnf(c_0_904,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_555]),
[final] ).
cnf(c_0_905,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_555]),
[final] ).
cnf(c_0_906,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_497]),
[final] ).
cnf(c_0_907,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_497]),
[final] ).
cnf(c_0_908,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_497]),
[final] ).
cnf(c_0_909,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_452]),
[final] ).
cnf(c_0_910,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_452]),
[final] ).
cnf(c_0_911,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_453]),
[final] ).
cnf(c_0_912,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_453]),
[final] ).
cnf(c_0_913,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_387]),
[final] ).
cnf(c_0_914,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_387]),
[final] ).
cnf(c_0_915,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_389]),
[final] ).
cnf(c_0_916,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_389]),
[final] ).
cnf(c_0_917,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_390]),
[final] ).
cnf(c_0_918,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_390]),
[final] ).
cnf(c_0_919,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_556]),
[final] ).
cnf(c_0_920,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_556]),
[final] ).
cnf(c_0_921,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_556]),
[final] ).
cnf(c_0_922,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_557]),
[final] ).
cnf(c_0_923,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_557]),
[final] ).
cnf(c_0_924,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_557]),
[final] ).
cnf(c_0_925,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_618]),
[final] ).
cnf(c_0_926,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_618]),
[final] ).
cnf(c_0_927,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_618]),
[final] ).
cnf(c_0_928,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_545]),
[final] ).
cnf(c_0_929,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_545]),
[final] ).
cnf(c_0_930,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_545]),
[final] ).
cnf(c_0_931,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_392]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_632,c_0_392]),
[final] ).
cnf(c_0_933,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_451]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_633,c_0_451]),
[final] ).
cnf(c_0_935,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_451]),
[final] ).
cnf(c_0_936,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_619]),
[final] ).
cnf(c_0_937,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_619]),
[final] ).
cnf(c_0_938,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_619]),
[final] ).
cnf(c_0_939,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_620]),
[final] ).
cnf(c_0_940,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_620]),
[final] ).
cnf(c_0_941,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_620]),
[final] ).
cnf(c_0_942,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_621]),
[final] ).
cnf(c_0_943,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_621]),
[final] ).
cnf(c_0_944,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_621]),
[final] ).
cnf(c_0_945,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_558]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_634,c_0_558]),
[final] ).
cnf(c_0_947,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_558]),
[final] ).
cnf(c_0_948,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_635]),
[final] ).
cnf(c_0_949,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_635]),
[final] ).
cnf(c_0_950,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_635]),
[final] ).
cnf(c_0_951,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_559]),
[final] ).
cnf(c_0_952,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_559]),
[final] ).
cnf(c_0_953,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_559]),
[final] ).
cnf(c_0_954,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_635]),
[final] ).
cnf(c_0_955,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_635]),
[final] ).
cnf(c_0_956,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_635]),
[final] ).
cnf(c_0_957,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_559]),
[final] ).
cnf(c_0_958,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_559]),
[final] ).
cnf(c_0_959,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_636,c_0_559]),
[final] ).
cnf(c_0_960,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_622]),
[final] ).
cnf(c_0_961,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_622]),
[final] ).
cnf(c_0_962,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_622]),
[final] ).
cnf(c_0_963,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_623]),
[final] ).
cnf(c_0_964,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_623]),
[final] ).
cnf(c_0_965,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_623]),
[final] ).
cnf(c_0_966,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_624]),
[final] ).
cnf(c_0_967,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_624]),
[final] ).
cnf(c_0_968,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_624]),
[final] ).
cnf(c_0_969,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_625]),
[final] ).
cnf(c_0_970,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_625]),
[final] ).
cnf(c_0_971,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_625]),
[final] ).
cnf(c_0_972,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_626]),
[final] ).
cnf(c_0_973,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_626]),
[final] ).
cnf(c_0_974,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_626]),
[final] ).
cnf(c_0_975,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_627]),
[final] ).
cnf(c_0_976,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_627]),
[final] ).
cnf(c_0_977,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_627]),
[final] ).
cnf(c_0_978,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_629]),
[final] ).
cnf(c_0_979,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_629]),
[final] ).
cnf(c_0_980,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_629]),
[final] ).
cnf(c_0_981,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_546]),
[final] ).
cnf(c_0_982,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_546]),
[final] ).
cnf(c_0_983,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_546]),
[final] ).
cnf(c_0_984,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_547]),
[final] ).
cnf(c_0_985,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_547]),
[final] ).
cnf(c_0_986,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_547]),
[final] ).
cnf(c_0_987,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_548]),
[final] ).
cnf(c_0_988,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_548]),
[final] ).
cnf(c_0_989,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_548]),
[final] ).
cnf(c_0_990,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_630]),
[final] ).
cnf(c_0_991,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_630]),
[final] ).
cnf(c_0_992,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_630]),
[final] ).
cnf(c_0_993,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_631]),
[final] ).
cnf(c_0_994,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_631]),
[final] ).
cnf(c_0_995,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_631]),
[final] ).
cnf(c_0_996,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_416]),
[final] ).
cnf(c_0_997,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_416]),
[final] ).
cnf(c_0_998,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_560]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_637,c_0_560]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_560]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_550]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_550]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_550]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_502]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_502]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_502]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_550]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_550]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_550]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_502]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( product(e_4,e_3,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_638,c_0_502]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_502]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_397]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_397]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( product(e_4,e_3,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_639,c_0_397]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product(e_4,e_3,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_640,c_0_397]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product(e_4,e_3,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_641,c_0_397]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_642]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_642]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_642]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_553]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_553]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_553]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_642]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_642]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_642]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_553]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( product(e_4,e_2,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_643,c_0_553]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_553]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_562]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_644,c_0_562]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_562]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_555]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_555]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_555]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_645,c_0_497]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_646,c_0_497]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_647,c_0_452]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_2,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_648,c_0_452]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_649,c_0_453]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_2,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_650,c_0_453]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_387]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_651,c_0_387]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_652,c_0_387]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_389]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_653,c_0_389]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_654,c_0_389]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_390]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_655,c_0_390]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_656,c_0_390]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_556]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_556]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_556]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_557]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_557]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_557]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_657,c_0_416]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_658,c_0_416]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_659,c_0_418]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_660,c_0_418]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_418]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_418]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_661]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_661]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_661]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_661]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_661]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_661]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_662]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_662]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_662]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_663]),
[final] ).
cnf(c_0_1073,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_663]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_663]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_565]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_565]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_565]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_464]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_4,e_4,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_464]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_399]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_399]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_664]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_664]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_664]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_665]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_665]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_665]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_272]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_272]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_666]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_666]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_666]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_569]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_2,X1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_569]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_569]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_398]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_666]),
[final] ).
cnf(c_0_1098,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_666]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_666]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_569]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_569]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_4,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_569]),
[final] ).
cnf(c_0_1103,negated_conjecture,
( product(e_4,e_2,e_1)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_667,c_0_398]),
[final] ).
cnf(c_0_1104,negated_conjecture,
( product(e_4,e_2,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_668,c_0_398]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( product(e_4,e_2,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_669,c_0_398]),
[final] ).
cnf(c_0_1106,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_670]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_670]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_670]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_258]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_662]),
[final] ).
cnf(c_0_1111,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_662]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_662]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_663]),
[final] ).
cnf(c_0_1114,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_663]),
[final] ).
cnf(c_0_1115,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_663]),
[final] ).
cnf(c_0_1116,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_565]),
[final] ).
cnf(c_0_1117,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_565]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_565]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_671,c_0_464]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_563,c_0_464]),
[final] ).
cnf(c_0_1121,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_4,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_672,c_0_464]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_673]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_673]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_673]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_567]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_567]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_567]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_457]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_1,X1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_457]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_457]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_399]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_675,c_0_399]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_4,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_676,c_0_399]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(e_4,e_1,X1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_329]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_154]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_154]),
[final] ).
cnf(c_0_1137,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_154]),
[final] ).
cnf(c_0_1138,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_677]),
[final] ).
cnf(c_0_1139,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_677]),
[final] ).
cnf(c_0_1140,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_677]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_573]),
[final] ).
cnf(c_0_1142,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_1,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_573]),
[final] ).
cnf(c_0_1143,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_573]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_516]),
[final] ).
cnf(c_0_1145,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_516]),
[final] ).
cnf(c_0_1146,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_516]),
[final] ).
cnf(c_0_1147,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_468]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_468]),
[final] ).
cnf(c_0_1149,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_468]),
[final] ).
cnf(c_0_1150,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_678]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_678]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_678]),
[final] ).
cnf(c_0_1153,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_436]),
[final] ).
cnf(c_0_1154,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_436]),
[final] ).
cnf(c_0_1155,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_436]),
[final] ).
cnf(c_0_1156,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_677]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_677]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_677]),
[final] ).
cnf(c_0_1159,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_573]),
[final] ).
cnf(c_0_1160,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_573]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_573]),
[final] ).
cnf(c_0_1162,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_516]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_516]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_516]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_468]),
[final] ).
cnf(c_0_1166,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_468]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_468]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_401]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_403]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_403]),
[final] ).
cnf(c_0_1171,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_375]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_375]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_678]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_678]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_678]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_436]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_436]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_436]),
[final] ).
cnf(c_0_1179,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_401]),
[final] ).
cnf(c_0_1180,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_401]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_401]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_679,c_0_403]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_1,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_403]),
[final] ).
cnf(c_0_1184,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_1,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_403]),
[final] ).
cnf(c_0_1185,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_680,c_0_375]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_681,c_0_375]),
[final] ).
cnf(c_0_1187,negated_conjecture,
( product(e_2,e_1,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_682,c_0_375]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_664]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_664]),
[final] ).
cnf(c_0_1190,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_664]),
[final] ).
cnf(c_0_1191,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_665]),
[final] ).
cnf(c_0_1192,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_665]),
[final] ).
cnf(c_0_1193,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_665]),
[final] ).
cnf(c_0_1194,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_683,c_0_420]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_684,c_0_420]),
[final] ).
cnf(c_0_1196,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_685]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_685]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_685]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_576]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_576]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_576]),
[final] ).
cnf(c_0_1202,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_686]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_2,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_686]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_2,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_686]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_318]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_318]),
[final] ).
cnf(c_0_1207,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_318]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_303]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_303]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_685]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_685]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_685]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_469]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_576]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_576]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_576]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_469]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_275]),
[final] ).
cnf(c_0_1219,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_686]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_686]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_686]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_318]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_318]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_303]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_303]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_303]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_469]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_469]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( product(e_3,e_4,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_687,c_0_469]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_275]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_3,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_275]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_3,e_4,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_275]),
[final] ).
cnf(c_0_1233,plain,
( product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_688,c_0_578]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( ~ product(X1,e_3,e_3)
| product(e_2,e_3,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_579]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(e_2,e_3,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_579]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( product(e_2,e_3,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_689,c_0_579]),
[final] ).
cnf(c_0_1237,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_272]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_272]),
[final] ).
cnf(c_0_1239,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_690,c_0_272]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_376]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,X1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_376]),
[final] ).
cnf(c_0_1242,negated_conjecture,
( product(e_4,e_2,e_3)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_402,c_0_376]),
[final] ).
cnf(c_0_1243,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_4,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_376]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_670]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_670]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_670]),
[final] ).
cnf(c_0_1247,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_691,c_0_580]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_692]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_692]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_692]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_693]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_693]),
[final] ).
cnf(c_0_1253,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_693]),
[final] ).
cnf(c_0_1254,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_583]),
[final] ).
cnf(c_0_1255,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_583]),
[final] ).
cnf(c_0_1256,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_583]),
[final] ).
cnf(c_0_1257,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_520]),
[final] ).
cnf(c_0_1258,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_2,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_520]),
[final] ).
cnf(c_0_1259,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_520]),
[final] ).
cnf(c_0_1260,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_472]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_692]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_692]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_692]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_472]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_693]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_693]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_693]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_583]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_583]),
[final] ).
cnf(c_0_1270,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_583]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_520]),
[final] ).
cnf(c_0_1272,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_520]),
[final] ).
cnf(c_0_1273,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_520]),
[final] ).
cnf(c_0_1274,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_472]),
[final] ).
cnf(c_0_1275,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_472]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_472]),
[final] ).
cnf(c_0_1277,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_694,c_0_258]),
[final] ).
cnf(c_0_1278,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_258]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_695,c_0_258]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_696]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_696]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_696]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_350]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_350]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_350]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_317]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_696]),
[final] ).
cnf(c_0_1288,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_696]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_696]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_350]),
[final] ).
cnf(c_0_1291,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_350]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_317]),
[final] ).
cnf(c_0_1293,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_317]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_317]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_317]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_455]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_455]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_455]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_394]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_455]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_394]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_394]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_394]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_394]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_673]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_673]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_673]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_697]),
[final] ).
cnf(c_0_1309,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_4,e_1,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_697]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_697]),
[final] ).
cnf(c_0_1311,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_698]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_698]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_698]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_699]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_699]),
[final] ).
cnf(c_0_1316,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_699]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_697]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_697]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_697]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_406]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_379]),
[final] ).
cnf(c_0_1322,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_698]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_698]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_698]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_355]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_700]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_700]),
[final] ).
cnf(c_0_1328,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_700]),
[final] ).
cnf(c_0_1329,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_588]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_588]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( ~ product(X1,e_3,e_3)
| product(e_3,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_590]),
[final] ).
cnf(c_0_1332,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(e_3,e_2,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_590]),
[final] ).
cnf(c_0_1333,negated_conjecture,
( product(e_3,e_2,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_701,c_0_590]),
[final] ).
cnf(c_0_1334,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_588]),
[final] ).
cnf(c_0_1335,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_702]),
[final] ).
cnf(c_0_1336,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_702]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_702]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_521]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_521]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_521]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_591]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_1,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_591]),
[final] ).
cnf(c_0_1343,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_591]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_699]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_699]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_699]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_474]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_474]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_321]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_406]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_406]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_406]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_703,c_0_379]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_379]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_4,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_379]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_704,c_0_355]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_705,c_0_355]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( product(e_2,e_4,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_706,c_0_355]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_700]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_700]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_700]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_215]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,X1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_215]),
[final] ).
cnf(c_0_1364,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_588]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_588]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_588]),
[final] ).
cnf(c_0_1367,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_702]),
[final] ).
cnf(c_0_1368,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_702]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_702]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_521]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_521]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_521]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_591]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_591]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_591]),
[final] ).
cnf(c_0_1376,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_474]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_474]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_474]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_3,e_2,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_321]),
[final] ).
cnf(c_0_1380,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_3,e_2,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_321]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_707,c_0_321]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( product(e_3,e_4,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_708,c_0_215]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( product(e_3,e_4,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_351,c_0_215]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( product(e_3,e_4,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_709,c_0_215]),
[final] ).
cnf(c_0_1385,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_567]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_567]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_567]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_457]),
[final] ).
cnf(c_0_1389,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_457]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_457]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_710,c_0_329]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_711,c_0_329]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_241]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_241]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_276,c_0_241]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_257,c_0_241]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( product(e_1,e_3,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_712,c_0_241]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_230]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_1,e_2,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_230]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_2,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_230]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_263,c_0_230]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_713]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_1,e_4,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_713]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_713]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_714]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_714]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_714]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_715]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_715]),
[final] ).
cnf(c_0_1410,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_715]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_524]),
[final] ).
cnf(c_0_1412,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_524]),
[final] ).
cnf(c_0_1413,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_713]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_713]),
[final] ).
cnf(c_0_1415,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_713]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,X1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_193]),
[final] ).
cnf(c_0_1417,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_478]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_478]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_478]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_445]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_1,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_445]),
[final] ).
cnf(c_0_1422,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_445]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_525]),
[final] ).
cnf(c_0_1424,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_714]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_714]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_714]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_525]),
[final] ).
cnf(c_0_1428,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_715]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_715]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_715]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_526]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_526]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_524]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_524]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_524]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_412]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_2,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_412]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( product(e_3,e_1,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_716,c_0_193]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_3,e_1,e_2)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_193]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_478]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_478]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_478]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_445]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_445]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_445]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_525]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_525]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_525]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_526]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_526]),
[final] ).
cnf(c_0_1451,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_526]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_717,c_0_412]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_412]),
[final] ).
cnf(c_0_1454,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_412]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( product(e_4,e_2,e_3)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_718,c_0_169]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_4,e_2,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_719,c_0_169]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( product(e_4,e_2,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_335,c_0_169]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_720]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_720]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_720]),
[final] ).
cnf(c_0_1461,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_289]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_289]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_274]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_274]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_274]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_720]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_720]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_720]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_289]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_289]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_274]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_274]),
[final] ).
cnf(c_0_1473,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_274]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_154]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_154]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_721]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_4,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_721]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_721]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_359]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_340]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(e_3,e_1,X1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_340]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_722]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_722]),
[final] ).
cnf(c_0_1484,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_722]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_721]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_721]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_721]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_2,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_527]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_527]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_359]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_359]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_4,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_359]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_723,c_0_340]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_724,c_0_340]),
[final] ).
cnf(c_0_1495,negated_conjecture,
( product(e_2,e_4,e_3)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_725,c_0_340]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_306]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_306]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_722]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_722]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_722]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_295]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_295]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_597]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_597]),
[final] ).
cnf(c_0_1505,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_597]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_282]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_282]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_527]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_527]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_527]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_141]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_306]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_306]),
[final] ).
cnf(c_0_1514,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_306]),
[final] ).
cnf(c_0_1515,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_295]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_295]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_295]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_597]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_597]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_597]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_282]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_282]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_282]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_141]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_726,c_0_141]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(e_1,e_2,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_447,c_0_141]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_294]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_727,c_0_294]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_728,c_0_294]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( product(e_3,e_2,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_729,c_0_294]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_730]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_4,e_1,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_730]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_730]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_731]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_1,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_731]),
[final] ).
cnf(c_0_1536,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_731]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_732]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_3,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_732]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_732]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_601]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_2,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_601]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_601]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_530]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_530]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_530]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_483]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_730]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_730]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_730]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_731]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_731]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_731]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_446]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_446]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_446]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_414]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_2,X1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_55,c_0_414]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_414]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_732]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_732]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_732]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_601]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_601]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_601]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_530]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_530]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_530]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_483]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_483]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_483]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_446]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_446]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_446]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_414]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_414]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_414]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_360]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_360]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_360]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_360]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_420]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,X1)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_178]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_733,c_0_178]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_3,e_2,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_178]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_734,c_0_160]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_735,c_0_160]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(e_3,e_2,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_736,c_0_160]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_420]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_325]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_325]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_325]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_325]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_30,c_0_296]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_2,e_3,e_4)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_296]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_2,e_3,e_4)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_296]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_737,c_0_296]),
[final] ).
cnf(c_0_1597,plain,
( ~ product(X1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_578]),
[final] ).
cnf(c_0_1598,plain,
( ~ product(e_1,e_1,X1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_578]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_344]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_361,c_0_344]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_738]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_1,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_738]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_738]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_187]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_4,e_2,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_187]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_187]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_531]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_531]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_738]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_738]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_738]),
[final] ).
cnf(c_0_1612,plain,
( ~ product(X1,e_1,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_580]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_739]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_1,e_3,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_739]),
[final] ).
cnf(c_0_1615,plain,
( ~ product(e_1,e_1,X1)
| product(e_1,e_2,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_4,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_580]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_739]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_167]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_3,e_2,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_167]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_740,c_0_197]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_741,c_0_197]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( product(e_2,e_3,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_742,c_0_197]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_187]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_187]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_187]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_176]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_176]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_159]),
[final] ).
cnf(c_0_1628,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_3,e_4,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_159]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_159]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_150]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(e_3,e_1,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_150]),
[final] ).
cnf(c_0_1632,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_531]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_531]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_531]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_4,e_2,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_252]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_252]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_139]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_139]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_739]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_739]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_739]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_167]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_167]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_167]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_176]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_176]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_176]),
[final] ).
cnf(c_0_1648,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_159]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_159]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_159]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_150]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_48,c_0_150]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_150]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_252]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_252]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_743,c_0_139]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_2,e_1,e_3)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_139]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_2,e_1,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_139]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(e_2,e_1,X1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_116]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( product(e_3,e_1,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_744,c_0_116]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_3,e_1,e_2)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_745,c_0_116]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( product(e_3,e_1,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_202,c_0_116]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(e_1,e_2,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_125]),
[final] ).
cnf(c_0_1664,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_125]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_4,X1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_115]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_115]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_125]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_125]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_125]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_746,c_0_115]),
[final] ).
cnf(c_0_1671,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(e_2,e_3,e_1)
| equalish(X1,e_2) ),
inference(spm,[status(thm)],[c_0_48,c_0_115]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(X1,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_30,c_0_84]),
[final] ).
cnf(c_0_1673,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_747,c_0_84]),
[final] ).
cnf(c_0_1674,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_748,c_0_84]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( product(e_2,e_3,e_1)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_749,c_0_84]),
[final] ).
cnf(c_0_1676,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(e_4,e_1,X1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_55,c_0_72]),
[final] ).
cnf(c_0_1677,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(X1,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_72]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_750,c_0_72]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_751,c_0_72]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( product(e_2,e_1,e_3)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_72]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_345]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_362,c_0_345]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_144]),
[final] ).
cnf(c_0_1684,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_144]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_144]),
[final] ).
cnf(c_0_1686,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_144]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_144]),
[final] ).
cnf(c_0_1688,plain,
( ~ product(X1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_604]),
[final] ).
cnf(c_0_1689,plain,
( ~ product(e_1,e_1,X1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_48,c_0_604]),
[final] ).
cnf(c_0_1690,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_752,c_0_604]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_3,e_3,e_2)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_753,c_0_220]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_432]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_4,e_1)
| product(e_4,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_30,c_0_432]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_130]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_754,c_0_432]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| equalish(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_755,c_0_432]),
[final] ).
cnf(c_0_1697,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_512,c_0_432]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_30,c_0_130]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| equalish(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_388,c_0_130]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_130]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_130]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_48,c_0_346]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| equalish(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_363,c_0_346]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP128-4.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.37 % Computer : n012.cluster.edu
% 0.05/0.37 % Model : x86_64 x86_64
% 0.05/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.37 % Memory : 8046.5625MB
% 0.05/0.37 % OS : Linux 6.8.0-71-generic
% 0.05/0.37 % CPULimit : 300
% 0.05/0.37 % WCLimit : 300
% 0.05/0.37 % DateTime : Sun Sep 20 20:00:07 UTC 2026
% 0.05/0.38 % CPUTime :
% 0.05/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.40 Running first-order theorem proving
% 0.05/0.40 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
% 8.38/1.72 % Version: 3.5.1
% 8.38/1.72 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.38/1.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.38/1.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.38/1.72 % Starting new_bool_3 with 300s (1) cores
% 8.38/1.72 % Starting new_bool_1 with 300s (1) cores
% 8.38/1.72 % Starting sh5l with 300s (1) cores
% 8.38/1.72 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 743571 completed with status 1
% 8.38/1.72 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.38/1.72 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.38/1.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.38/1.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.38/1.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.38/1.72 % No SInE strategy applied
% 8.38/1.72 % Search class: FGUNF-FFSS00-SFFFFFNN
% 8.38/1.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.38/1.72 % Starting SubtermCWHack with 136s (1) cores
% 8.38/1.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.38/1.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 8.38/1.72 % Starting new_bool_3 with 136s (1) cores
% 8.38/1.72 % Starting new_bool_1 with 136s (1) cores
% 8.38/1.72 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 743576 completed with status 1
% 8.38/1.72 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 8.38/1.72 % Preprocessing class: FSMSSMSSSSSNFFN.
% 8.38/1.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.38/1.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 8.38/1.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.38/1.72 % No SInE strategy applied
% 8.38/1.72 % Search class: FGUNF-FFSS00-SFFFFFNN
% 8.38/1.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.38/1.72 % Starting SubtermCWHack with 136s (1) cores
% 8.38/1.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 8.38/1.72 % Preprocessing time : 0.001 s
% 8.38/1.72 % Presaturation interreduction done
% 8.38/1.72
% 8.38/1.72 % No proof found!
% 8.38/1.72 % SZS status Satisfiable
% 8.38/1.72 % SZS output start Saturation
% See solution above
% 8.38/1.72 % Parsed axioms : 25
% 8.38/1.72 % Removed by relevancy pruning/SinE : 0
% 8.38/1.72 % Initial clauses : 25
% 8.38/1.72 % Removed in clause preprocessing : 0
% 8.38/1.72 % Initial clauses in saturation : 25
% 8.38/1.72 % Processed clauses : 26095
% 8.38/1.72 % ...of these trivial : 0
% 8.38/1.72 % ...subsumed : 23203
% 8.38/1.72 % ...remaining for further processing : 2892
% 8.38/1.72 % Other redundant clauses eliminated : 0
% 8.38/1.72 % Clauses deleted for lack of memory : 0
% 8.38/1.72 % Backward-subsumed : 1383
% 8.38/1.72 % Backward-rewritten : 13
% 8.38/1.72 % Generated clauses : 54437
% 8.38/1.72 % ...of the previous two non-redundant : 54335
% 8.38/1.72 % ...aggressively subsumed : 0
% 8.38/1.72 % Contextual simplify-reflections : 2
% 8.38/1.72 % Paramodulations : 54390
% 8.38/1.72 % Factorizations : 0
% 8.38/1.72 % NegExts : 0
% 8.38/1.72 % Equation resolutions : 0
% 8.38/1.72 % Disequality decompositions : 0
% 8.38/1.72 % Total rewrite steps : 13
% 8.38/1.72 % ...of those cached : 12
% 8.38/1.72 % Propositional unsat checks : 0
% 8.38/1.72 % Propositional check models : 0
% 8.38/1.72 % Propositional check unsatisfiable : 0
% 8.38/1.72 % Propositional clauses : 0
% 8.38/1.72 % Propositional clauses after purity: 0
% 8.38/1.72 % Propositional unsat core size : 0
% 8.38/1.72 % Propositional preprocessing time : 0.000
% 8.38/1.72 % Propositional encoding time : 0.000
% 8.38/1.72 % Propositional solver time : 0.000
% 8.38/1.72 % Success case prop preproc time : 0.000
% 8.38/1.72 % Success case prop encoding time : 0.000
% 8.38/1.72 % Success case prop solver time : 0.000
% 8.38/1.72 % Current number of processed clauses : 1424
% 8.38/1.72 % Positive orientable unit clauses : 5
% 8.38/1.72 % Positive unorientable unit clauses: 0
% 8.38/1.72 % Negative unit clauses : 21
% 8.38/1.72 % Non-unit-clauses : 1398
% 8.38/1.72 % Current number of unprocessed clauses: 0
% 8.38/1.72 % ...number of literals in the above : 0
% 8.38/1.72 % Current number of archived formulas : 0
% 8.38/1.72 % Current number of archived clauses : 1468
% 8.38/1.72 % Clause-clause subsumption calls (NU) : 2107913
% 8.38/1.72 % Rec. Clause-clause subsumption calls : 135727
% 8.38/1.72 % Non-unit clause-clause subsumptions : 24588
% 8.38/1.72 % Unit Clause-clause subsumption calls : 117
% 8.38/1.72 % Rewrite failures with RHS unbound : 0
% 8.38/1.72 % BW rewrite match attempts : 5
% 8.38/1.72 % BW rewrite match successes : 1
% 8.38/1.72 % Condensation attempts : 0
% 8.38/1.72 % Condensation successes : 0
% 8.38/1.72 % Termbank termtop insertions : 883588
% 8.38/1.72 % Search garbage collected termcells : 60
% 8.38/1.72
% 8.38/1.72 % -------------------------------------------------
% 8.38/1.72 % User time : 1.231 s
% 8.38/1.72 % System time : 0.014 s
% 8.38/1.72 % Total time : 1.245 s
% 8.38/1.72 % Maximum resident set size: 3900 pages
% 8.38/1.72
% 8.38/1.72 % -------------------------------------------------
% 8.38/1.72 % User time : 6.052 s
% 8.38/1.72 % System time : 0.102 s
% 8.38/1.72 % Total time : 6.154 s
% 8.38/1.72 % Maximum resident set size: 4864 pages
% 8.38/1.72 % E exiting
%------------------------------------------------------------------------------