%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP123-8.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:37:57 PM UTC 2026
% Result : Satisfiable 4.89s 1.06s
% Output : Saturation 4.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_49ERROR: Could not build tree for root c_0_119ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_50,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product1(X1,X2,e_4)
| product1(X1,X2,e_3)
| product1(X1,X2,e_2)
| product1(X1,X2,e_1) ),
c_0_48,
[final] ).
cnf(c_0_51,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_52,plain,
( ~ product1(X1,X4,X3)
| ~ product1(X1,X2,X3)
| equalish(X2,X4) ),
c_0_49,
[final] ).
cnf(c_0_53,axiom,
product1(X1,X1,X1),
product1_idempotence,
[final] ).
cnf(c_0_54,plain,
( ~ group_element(X1)
| product1(X1,e_2,e_1)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_3)
| product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_55,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_58,plain,
( ~ product1(X2,X1,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]),
[final] ).
cnf(c_0_60,plain,
~ equalish(e_2,e_4),
c_0_56,
[final] ).
cnf(c_0_63,negated_conjecture,
( ~ product1(X3,X2,X4)
| ~ product1(X1,X2,X3)
| product2(X4,X1,X2) ),
c_0_57,
[final] ).
cnf(c_0_64,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),
[final] ).
cnf(c_0_65,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_67,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product2(X1,X2,e_4)
| product2(X1,X2,e_3)
| product2(X1,X2,e_2)
| product2(X1,X2,e_1) ),
c_0_61,
[final] ).
cnf(c_0_69,plain,
( ~ product2(X1,X2,X4)
| ~ product2(X1,X2,X3)
| equalish(X3,X4) ),
c_0_62,
[final] ).
cnf(c_0_70,axiom,
product2(X1,X1,X1),
product2_idempotence,
[final] ).
cnf(c_0_71,negated_conjecture,
( ~ product1(X1,e_2,e_4)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_72,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_65]),
[final] ).
cnf(c_0_75,plain,
( ~ product2(X1,X4,X3)
| ~ product2(X1,X2,X3)
| equalish(X2,X4) ),
c_0_66,
[final] ).
cnf(c_0_76,plain,
( ~ group_element(X1)
| product2(X1,e_3,e_1)
| product2(X1,e_3,e_2)
| product2(X1,e_3,e_3)
| product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_65]),
[final] ).
cnf(c_0_78,plain,
( ~ product1(X4,X2,X3)
| ~ product1(X1,X2,X3)
| equalish(X1,X4) ),
c_0_68,
[final] ).
cnf(c_0_79,plain,
( ~ product2(X2,X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_81,plain,
~ equalish(e_2,e_3),
c_0_73,
[final] ).
cnf(c_0_83,plain,
( ~ product2(X4,X2,X3)
| ~ product2(X1,X2,X3)
| equalish(X1,X4) ),
c_0_74,
[final] ).
cnf(c_0_84,plain,
( ~ product2(X2,X1,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_70]),
[final] ).
cnf(c_0_86,plain,
~ equalish(e_3,e_4),
c_0_77,
[final] ).
cnf(c_0_88,plain,
( ~ product1(X1,X2,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_53]),
[final] ).
cnf(c_0_90,plain,
~ equalish(e_4,e_2),
c_0_82,
[final] ).
cnf(c_0_91,negated_conjecture,
( ~ product1(X2,X1,X1)
| product2(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_53]),
[final] ).
cnf(c_0_92,plain,
( ~ product2(X1,X2,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_70]),
[final] ).
cnf(c_0_94,plain,
~ equalish(e_4,e_3),
c_0_87,
[final] ).
cnf(c_0_95,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_96,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),
[final] ).
cnf(c_0_97,negated_conjecture,
( ~ product1(X3,X2,X2)
| ~ product2(X1,X3,X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_91]),
[final] ).
cnf(c_0_98,plain,
( product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),
[final] ).
cnf(c_0_100,plain,
( ~ group_element(X1)
| product1(X1,e_1,e_1)
| product1(X1,e_1,e_2)
| product1(X1,e_1,e_3)
| product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_95]),
[final] ).
cnf(c_0_102,negated_conjecture,
( ~ product1(X1,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_96]),
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_90]),
[final] ).
cnf(c_0_105,plain,
~ equalish(e_4,e_1),
c_0_99,
[final] ).
cnf(c_0_106,plain,
( ~ group_element(X1)
| product2(X1,e_2,e_1)
| product2(X1,e_2,e_2)
| product2(X1,e_2,e_3)
| product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_51]),
[final] ).
cnf(c_0_107,plain,
( ~ group_element(X1)
| product1(X1,e_3,e_1)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_3)
| product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_65]),
[final] ).
cnf(c_0_109,plain,
~ equalish(e_1,e_4),
c_0_101,
[final] ).
cnf(c_0_111,negated_conjecture,
( ~ product1(X3,X2,X2)
| ~ product2(X2,X3,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_91]),
[final] ).
cnf(c_0_112,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product2(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_72]),
[final] ).
cnf(c_0_113,plain,
~ equalish(e_2,e_1),
c_0_103,
[final] ).
cnf(c_0_114,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| ~ product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_116,plain,
( ~ group_element(X1)
| product2(X1,e_1,e_1)
| product2(X1,e_1,e_2)
| product2(X1,e_1,e_3)
| product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_95]),
[final] ).
cnf(c_0_117,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_51]),
[final] ).
cnf(c_0_119,plain,
( ~ product1(e_4,X1,e_3)
| equalish(X1,e_2)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_64]),
[final] ).
cnf(c_0_120,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_108]),c_0_109]),
[final] ).
cnf(c_0_121,plain,
~ equalish(e_1,e_2),
c_0_110,
[final] ).
cnf(c_0_122,plain,
( ~ product1(e_3,X1,e_4)
| equalish(X1,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_72]),
[final] ).
cnf(c_0_123,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_65]),
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]),
[final] ).
cnf(c_0_125,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_115]),c_0_60]),
[final] ).
cnf(c_0_127,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_65]),
[final] ).
cnf(c_0_128,plain,
( ~ group_element(X1)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| product1(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_55]),
[final] ).
cnf(c_0_130,plain,
( ~ product1(e_2,X1,e_4)
| equalish(X1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_117]),
[final] ).
cnf(c_0_131,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_51]),
[final] ).
cnf(c_0_132,plain,
~ equalish(e_1,e_3),
c_0_118,
[final] ).
cnf(c_0_136,plain,
( ~ product2(e_4,X1,e_3)
| equalish(X1,e_2)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_125]),
[final] ).
cnf(c_0_137,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_126]),c_0_109]),
[final] ).
cnf(c_0_138,plain,
( ~ product2(e_3,X1,e_4)
| equalish(X1,e_2)
| product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_127]),
[final] ).
cnf(c_0_139,plain,
( product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_116,c_0_65]),
[final] ).
cnf(c_0_143,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_133]),c_0_90]),
[final] ).
cnf(c_0_145,plain,
~ equalish(e_3,e_2),
c_0_135,
[final] ).
cnf(c_0_149,plain,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_141]),c_0_94]),
[final] ).
cnf(c_0_151,plain,
( ~ product1(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_143]),
[final] ).
cnf(c_0_152,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_144]),c_0_145]),
[final] ).
cnf(c_0_153,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_146]),c_0_90]),
[final] ).
cnf(c_0_155,plain,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_148]),c_0_94]),
[final] ).
cnf(c_0_157,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_4,e_3,e_1)
| product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_149]),
[final] ).
cnf(c_0_159,plain,
( ~ product1(e_4,X1,e_2)
| equalish(X1,e_3)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_149]),
[final] ).
cnf(c_0_160,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_86]),
[final] ).
cnf(c_0_161,plain,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_153]),
[final] ).
cnf(c_0_162,plain,
( product2(e_3,e_2,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_154]),c_0_145]),
[final] ).
cnf(c_0_163,negated_conjecture,
( ~ product1(X1,e_4,e_3)
| product1(e_3,e_4,e_1)
| product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_155]),
[final] ).
cnf(c_0_164,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_156]),c_0_60]),
[final] ).
cnf(c_0_165,plain,
( ~ product1(X1,e_2,e_4)
| equalish(X1,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_72]),
[final] ).
cnf(c_0_166,plain,
( product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_95]),
[final] ).
cnf(c_0_169,plain,
( product1(e_4,e_3,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_132]),
[final] ).
cnf(c_0_170,plain,
( ~ product1(X1,e_3,e_4)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_117]),
[final] ).
cnf(c_0_171,plain,
( product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_95]),
[final] ).
cnf(c_0_172,plain,
( ~ group_element(X1)
| product2(X1,e_4,e_1)
| product2(X1,e_4,e_2)
| product2(X1,e_4,e_3)
| product2(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_55]),
[final] ).
cnf(c_0_173,negated_conjecture,
( ~ product1(X1,e_1,e_4)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_160]),
[final] ).
cnf(c_0_174,plain,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_3)
| product2(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_98]),
[final] ).
cnf(c_0_175,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_86]),
[final] ).
cnf(c_0_178,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_167]),c_0_145]),
[final] ).
cnf(c_0_182,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product2(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_123]),
[final] ).
cnf(c_0_183,plain,
( product2(e_4,e_3,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_132]),
[final] ).
cnf(c_0_184,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_176]),c_0_90]),
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_178]),
[final] ).
cnf(c_0_189,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_181]),c_0_60]),
[final] ).
cnf(c_0_192,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_182]),
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_183]),c_0_105]),
[final] ).
cnf(c_0_194,negated_conjecture,
( ~ product1(X1,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_184]),
[final] ).
cnf(c_0_195,negated_conjecture,
( ~ product1(X1,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_166]),
[final] ).
cnf(c_0_197,plain,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_4)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_125]),
[final] ).
cnf(c_0_198,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_117]),
[final] ).
cnf(c_0_199,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_125]),c_0_94]),
[final] ).
cnf(c_0_200,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_131]),
[final] ).
cnf(c_0_202,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_171]),
[final] ).
cnf(c_0_204,plain,
( ~ product2(X1,e_4,e_3)
| equalish(X1,e_2)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_189]),
[final] ).
cnf(c_0_205,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_190]),c_0_109]),
[final] ).
cnf(c_0_208,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_194,c_0_164]),
[final] ).
cnf(c_0_210,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product2(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]),
[final] ).
cnf(c_0_212,plain,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_153]),
[final] ).
cnf(c_0_213,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product2(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]),
[final] ).
cnf(c_0_214,negated_conjecture,
( ~ product1(e_2,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_153]),c_0_105]),
[final] ).
cnf(c_0_215,plain,
( ~ product2(e_4,X1,e_3)
| equalish(X1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_137]),
[final] ).
cnf(c_0_216,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]),
[final] ).
cnf(c_0_217,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_137]),c_0_94]),
[final] ).
cnf(c_0_219,plain,
( product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_206]),c_0_94]),
[final] ).
cnf(c_0_221,negated_conjecture,
( ~ product2(X1,e_2,e_4)
| equalish(X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_208]),
[final] ).
cnf(c_0_222,plain,
~ equalish(e_3,e_1),
c_0_209,
[final] ).
cnf(c_0_223,negated_conjecture,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_210]),
[final] ).
cnf(c_0_224,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_175]),c_0_90]),
[final] ).
cnf(c_0_225,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_211]),c_0_90]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_145]),c_0_214]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_113]),c_0_217]),
[final] ).
cnf(c_0_229,plain,
( ~ product2(X1,e_2,e_4)
| equalish(X1,e_3)
| product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_127]),
[final] ).
cnf(c_0_230,plain,
( product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_95]),
[final] ).
cnf(c_0_231,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_218]),c_0_90]),
[final] ).
cnf(c_0_232,plain,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_4)
| product2(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_219]),
[final] ).
cnf(c_0_233,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_220]),c_0_132]),
[final] ).
cnf(c_0_236,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_225]),
[final] ).
cnf(c_0_237,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_226]),c_0_132]),
[final] ).
cnf(c_0_238,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_227]),c_0_132]),
[final] ).
cnf(c_0_239,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_228]),c_0_109]),
[final] ).
cnf(c_0_241,plain,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_231]),
[final] ).
cnf(c_0_242,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_109]),
[final] ).
cnf(c_0_245,plain,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_4)
| product2(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_98]),
[final] ).
cnf(c_0_248,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_163,c_0_239]),
[final] ).
cnf(c_0_249,plain,
( ~ product1(X1,e_4,e_3)
| equalish(X1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_164]),
[final] ).
cnf(c_0_252,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_51]),
[final] ).
cnf(c_0_253,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_243]),c_0_145]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_244]),c_0_132]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_112]),c_0_109]),c_0_104]),
[final] ).
cnf(c_0_258,negated_conjecture,
( ~ product2(e_2,X1,e_4)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_248]),
[final] ).
cnf(c_0_260,plain,
( product2(e_3,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_250]),c_0_145]),
[final] ).
cnf(c_0_261,plain,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_3)
| product2(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_219]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_251]),c_0_222]),
[final] ).
cnf(c_0_263,plain,
( ~ product2(X1,e_3,e_4)
| equalish(X1,e_2)
| product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_252]),
[final] ).
cnf(c_0_264,plain,
( product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_95]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_253]),
[final] ).
cnf(c_0_266,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_254]),c_0_109]),
[final] ).
cnf(c_0_267,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_255]),c_0_145]),
[final] ).
cnf(c_0_268,plain,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_169]),
[final] ).
cnf(c_0_269,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_256]),c_0_145]),
[final] ).
cnf(c_0_270,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_257]),c_0_145]),
[final] ).
cnf(c_0_271,plain,
( ~ product2(e_2,X1,e_4)
| equalish(X1,e_3)
| product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_252]),
[final] ).
cnf(c_0_272,plain,
( product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_116,c_0_51]),
[final] ).
cnf(c_0_274,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_239]),
[final] ).
cnf(c_0_275,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_259]),c_0_90]),
[final] ).
cnf(c_0_276,plain,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_260]),
[final] ).
cnf(c_0_277,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_132]),
[final] ).
cnf(c_0_278,plain,
( ~ product2(X1,e_1,e_4)
| equalish(X1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_139]),
[final] ).
cnf(c_0_281,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_267]),
[final] ).
cnf(c_0_285,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_253]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_274,c_0_275]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_253]),c_0_86]),
[final] ).
cnf(c_0_298,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_255]),
[final] ).
cnf(c_0_299,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_286]),c_0_145]),
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_225]),
[final] ).
cnf(c_0_301,negated_conjecture,
( ~ product2(e_3,X1,e_4)
| equalish(X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_287]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_288]),c_0_105]),
[final] ).
cnf(c_0_303,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_289]),c_0_132]),
[final] ).
cnf(c_0_304,plain,
( product2(e_2,e_3,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_290]),c_0_145]),
[final] ).
cnf(c_0_305,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_291]),c_0_90]),
[final] ).
cnf(c_0_307,plain,
( ~ product1(e_3,X1,e_2)
| equalish(X1,e_4)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_155]),
[final] ).
cnf(c_0_308,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_293]),c_0_132]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_294]),c_0_132]),
[final] ).
cnf(c_0_310,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_295]),c_0_145]),
[final] ).
cnf(c_0_311,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_296]),c_0_132]),
[final] ).
cnf(c_0_312,negated_conjecture,
( ~ product1(X1,e_2,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_152]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_297]),c_0_90]),
[final] ).
cnf(c_0_314,plain,
( ~ product1(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_275]),
[final] ).
cnf(c_0_317,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_255]),
[final] ).
cnf(c_0_320,plain,
( product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_303]),c_0_109]),
[final] ).
cnf(c_0_321,plain,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_304]),
[final] ).
cnf(c_0_322,negated_conjecture,
( ~ product1(X1,e_4,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_305]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_109]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_309]),c_0_109]),
[final] ).
cnf(c_0_326,plain,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_310]),
[final] ).
cnf(c_0_327,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_238]),
[final] ).
cnf(c_0_328,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_311]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| product2(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_312,c_0_64]),
[final] ).
cnf(c_0_330,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_219]),c_0_145]),
[final] ).
cnf(c_0_331,negated_conjecture,
( ~ product1(X1,e_4,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_313]),
[final] ).
cnf(c_0_333,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_316]),c_0_132]),
[final] ).
cnf(c_0_335,negated_conjecture,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_184]),
[final] ).
cnf(c_0_336,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_318]),c_0_132]),
[final] ).
cnf(c_0_338,plain,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_3)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_162]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_319]),c_0_90]),
[final] ).
cnf(c_0_343,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_3,e_4,e_1)
| product2(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_322,c_0_155]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_323]),c_0_81]),
[final] ).
cnf(c_0_345,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_324]),
[final] ).
cnf(c_0_346,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_325]),
[final] ).
cnf(c_0_348,plain,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_231]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_329]),c_0_132]),c_0_330]),
[final] ).
cnf(c_0_354,plain,
( ~ product1(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_275]),
[final] ).
cnf(c_0_355,negated_conjecture,
( ~ product1(X1,e_3,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_269]),
[final] ).
cnf(c_0_356,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| product2(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_331,c_0_155]),
[final] ).
cnf(c_0_357,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_332]),c_0_81]),
[final] ).
cnf(c_0_358,negated_conjecture,
( ~ product2(X1,e_2,e_4)
| equalish(X1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_287]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_333]),c_0_109]),
[final] ).
cnf(c_0_360,negated_conjecture,
( ~ product1(X1,e_3,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_270]),
[final] ).
cnf(c_0_361,plain,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_3)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_264]),
[final] ).
cnf(c_0_362,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_334]),c_0_81]),
[final] ).
cnf(c_0_364,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_336]),c_0_109]),
[final] ).
cnf(c_0_365,negated_conjecture,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_208]),
[final] ).
cnf(c_0_367,plain,
( ~ group_element(X1)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
c_0_337,
[final] ).
cnf(c_0_369,plain,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_4)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_189]),
[final] ).
cnf(c_0_370,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_340]),c_0_222]),
[final] ).
cnf(c_0_371,plain,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_162]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_342]),c_0_222]),
[final] ).
cnf(c_0_375,negated_conjecture,
( ~ product1(X1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_344]),
[final] ).
cnf(c_0_376,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_305]),c_0_81]),
[final] ).
cnf(c_0_377,plain,
( ~ product1(X1,e_1,e_3)
| equalish(X1,e_4)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_120]),
[final] ).
cnf(c_0_378,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_305]),c_0_81]),
[final] ).
cnf(c_0_379,plain,
( ~ product1(X1,e_3,e_2)
| equalish(X1,e_4)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_149]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_347]),c_0_105]),
[final] ).
cnf(c_0_382,plain,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_4)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_137]),
[final] ).
cnf(c_0_383,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_310]),c_0_86]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_349]),c_0_105]),
[final] ).
cnf(c_0_385,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_350]),c_0_105]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_310]),c_0_60]),
[final] ).
cnf(c_0_388,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_352]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_269]),c_0_86]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| product2(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_355,c_0_149]),
[final] ).
cnf(c_0_393,negated_conjecture,
( ~ product1(X1,e_2,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_357]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_230]),c_0_132]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_4,e_3,e_1)
| product2(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_360,c_0_149]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_270]),c_0_86]),
[final] ).
cnf(c_0_399,plain,
( ~ product1(X1,e_4,e_2)
| equalish(X1,e_3)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_155]),
[final] ).
cnf(c_0_400,negated_conjecture,
( ~ product1(X1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_362]),
[final] ).
cnf(c_0_401,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_363]),c_0_132]),
[final] ).
cnf(c_0_404,plain,
( ~ greater(X2,X5)
| ~ greater(X3,X1)
| ~ next(X3,X4)
| ~ cycle(X4,X5)
| ~ cycle(X3,e_0)
| ~ cycle(X1,X2) ),
c_0_366,
[final] ).
cnf(c_0_405,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_367,c_0_51]),
[final] ).
cnf(c_0_406,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_367,c_0_65]),
[final] ).
cnf(c_0_407,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_409,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_368]),c_0_132]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product1(X1,e_1,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_123]),
[final] ).
cnf(c_0_412,negated_conjecture,
( ~ product1(X1,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_117]),
[final] ).
cnf(c_0_414,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_372]),c_0_132]),
[final] ).
cnf(c_0_417,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| product2(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_375,c_0_64]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_344]),c_0_86]),
[final] ).
cnf(c_0_419,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2)
| product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_376]),
[final] ).
cnf(c_0_421,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_378]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_378]),c_0_109]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_380]),c_0_222]),
[final] ).
cnf(c_0_425,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_60]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_386]),c_0_132]),
[final] ).
cnf(c_0_430,negated_conjecture,
( ~ product1(X1,e_4,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_164]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_389]),c_0_132]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ product1(X1,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_308]),
[final] ).
cnf(c_0_434,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_390]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_357]),c_0_86]),
[final] ).
cnf(c_0_438,negated_conjecture,
( ~ product1(X1,e_1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_309]),
[final] ).
cnf(c_0_439,negated_conjecture,
( ~ product1(e_2,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_208]),c_0_105]),
[final] ).
cnf(c_0_440,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_260]),c_0_86]),
[final] ).
cnf(c_0_441,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_304]),c_0_86]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| product2(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_393,c_0_64]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_395]),c_0_222]),
[final] ).
cnf(c_0_446,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_397]),c_0_132]),
[final] ).
cnf(c_0_448,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1)
| product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_398]),
[final] ).
cnf(c_0_450,negated_conjecture,
( ~ product1(X1,e_1,e_4)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_120]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| product2(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_400,c_0_64]),
[final] ).
cnf(c_0_452,negated_conjecture,
( ~ product1(X1,e_1,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_401]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_402]),c_0_222]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_362]),c_0_86]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_403]),c_0_132]),
[final] ).
cnf(c_0_456,negated_conjecture,
( ~ product1(X1,e_4,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_275]),
[final] ).
cnf(c_0_457,plain,
( ~ next(e_2,X1)
| ~ greater(X4,X2)
| ~ greater(e_2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]),
[final] ).
cnf(c_0_458,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_459,plain,
( ~ next(e_3,X1)
| ~ greater(X4,X2)
| ~ greater(e_3,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_406]),
[final] ).
cnf(c_0_460,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_461,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_462,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_367,c_0_95]),
[final] ).
cnf(c_0_464,plain,
( ~ next(e_4,X1)
| ~ greater(X4,X2)
| ~ greater(e_4,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_404,c_0_407]),
[final] ).
cnf(c_0_465,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_466,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_467,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_469,plain,
( ~ product1(X1,X2,X4)
| ~ product1(X1,X2,X3)
| equalish(X3,X4) ),
c_0_408,
[final] ).
cnf(c_0_470,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_409]),c_0_109]),
[final] ).
cnf(c_0_471,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_410]),c_0_90]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2)
| product2(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_411,c_0_376]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| product2(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_412,c_0_378]),
[final] ).
cnf(c_0_474,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| ~ product2(e_4,X1,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_104]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_411,c_0_390]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_4,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_413]),c_0_132]),
[final] ).
cnf(c_0_477,plain,
( product2(e_3,e_4,e_1)
| product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_414]),c_0_109]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_415]),c_0_90]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_416]),c_0_145]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_417]),c_0_132]),c_0_330]),
[final] ).
cnf(c_0_481,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| ~ product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_330]),c_0_222]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_418]),c_0_132]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_420]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_3,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_423]),c_0_132]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_424]),c_0_90]),
[final] ).
cnf(c_0_487,plain,
( product2(e_4,e_3,e_1)
| product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_425]),c_0_132]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_426]),c_0_90]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_427]),c_0_90]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_3,e_1)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_428]),c_0_109]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_429]),c_0_90]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_430,c_0_398]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_431]),c_0_132]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_4,e_3,e_1)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_432]),c_0_109]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| product2(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_120]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_4,e_1,e_1)
| product2(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_434,c_0_435]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_436]),c_0_90]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_437]),c_0_145]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| product2(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_438,c_0_120]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_401]),c_0_439]),
[final] ).
cnf(c_0_501,plain,
( product2(e_4,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_440]),c_0_132]),
[final] ).
cnf(c_0_502,plain,
( product2(e_3,e_4,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_441]),c_0_132]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_442]),c_0_132]),c_0_330]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_443]),c_0_90]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_444]),c_0_132]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_260]),c_0_86]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_4,e_3,e_1)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_445]),c_0_90]),
[final] ).
cnf(c_0_508,plain,
( product2(e_4,e_3,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_446]),c_0_109]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_447]),c_0_132]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_448,c_0_449]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_435]),c_0_132]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_450,c_0_131]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_451]),c_0_132]),c_0_330]),
[final] ).
cnf(c_0_514,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| ~ product2(e_3,X1,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_330]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product2(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_166]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| product2(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_452,c_0_120]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_453]),c_0_132]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_454]),c_0_132]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_157,c_0_171]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_3,e_1)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_455]),c_0_109]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| product2(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_456,c_0_155]),
[final] ).
cnf(c_0_522,plain,
( ~ next(e_2,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_457,c_0_458]),
[final] ).
cnf(c_0_523,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_459,c_0_460]),
[final] ).
cnf(c_0_524,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_459,c_0_461]),
[final] ).
cnf(c_0_525,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_462]),
[final] ).
cnf(c_0_526,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_527,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_528,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_529,plain,
( ~ cycle(X1,X3)
| ~ cycle(X1,X2)
| equalish(X2,X3) ),
c_0_463,
[final] ).
cnf(c_0_530,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]),
[final] ).
cnf(c_0_531,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_466]),
[final] ).
cnf(c_0_532,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_467]),
[final] ).
cnf(c_0_533,plain,
( ~ next(X4,X5)
| ~ greater(X2,e_0)
| ~ next(X1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| equalish(X2,X5) ),
c_0_468,
[final] ).
cnf(c_0_534,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_535,negated_conjecture,
( ~ product1(X2,X3,X3)
| ~ product2(X3,X1,X3)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_91]),
[final] ).
cnf(c_0_540,plain,
( ~ product1(X2,X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_469,c_0_53]),
[final] ).
cnf(c_0_541,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_470]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_470]),
[final] ).
cnf(c_0_543,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_470]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_409]),
[final] ).
cnf(c_0_545,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_409]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_470]),c_0_222]),
[final] ).
cnf(c_0_547,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_409]),
[final] ).
cnf(c_0_548,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_409]),c_0_145]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_409]),c_0_81]),
[final] ).
cnf(c_0_550,plain,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_471]),
[final] ).
cnf(c_0_551,plain,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_471]),
[final] ).
cnf(c_0_552,plain,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_471]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_471]),c_0_113]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_472]),
[final] ).
cnf(c_0_555,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_472]),
[final] ).
cnf(c_0_556,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_472]),
[final] ).
cnf(c_0_557,negated_conjecture,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_473]),
[final] ).
cnf(c_0_558,negated_conjecture,
( ~ product2(e_4,X1,e_3)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_473]),
[final] ).
cnf(c_0_559,negated_conjecture,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_473]),
[final] ).
cnf(c_0_560,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_472]),c_0_81]),c_0_114]),
[final] ).
cnf(c_0_561,negated_conjecture,
( ~ product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_472]),c_0_105]),
[final] ).
cnf(c_0_562,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_472]),c_0_109]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_473]),c_0_94]),
[final] ).
cnf(c_0_564,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_473]),c_0_86]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_475]),
[final] ).
cnf(c_0_566,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_475]),
[final] ).
cnf(c_0_567,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_475]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_81]),c_0_114]),
[final] ).
cnf(c_0_569,negated_conjecture,
( ~ product1(e_2,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_475]),c_0_105]),
[final] ).
cnf(c_0_570,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_339]),
[final] ).
cnf(c_0_571,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_339]),
[final] ).
cnf(c_0_572,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_339]),
[final] ).
cnf(c_0_573,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_339]),c_0_81]),
[final] ).
cnf(c_0_574,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_339]),c_0_109]),
[final] ).
cnf(c_0_575,negated_conjecture,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_302]),
[final] ).
cnf(c_0_576,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_302]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_302]),
[final] ).
cnf(c_0_578,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_302]),c_0_132]),
[final] ).
cnf(c_0_579,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_476]),
[final] ).
cnf(c_0_580,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_476]),
[final] ).
cnf(c_0_581,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_476]),
[final] ).
cnf(c_0_582,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_476]),c_0_145]),
[final] ).
cnf(c_0_583,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_476]),c_0_81]),
[final] ).
cnf(c_0_584,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_277]),
[final] ).
cnf(c_0_585,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_277]),
[final] ).
cnf(c_0_586,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_277]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_262]),
[final] ).
cnf(c_0_588,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_262]),
[final] ).
cnf(c_0_589,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_262]),
[final] ).
cnf(c_0_590,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_262]),c_0_121]),
[final] ).
cnf(c_0_591,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_242]),
[final] ).
cnf(c_0_592,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_242]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_242]),
[final] ).
cnf(c_0_594,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_233]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_233]),
[final] ).
cnf(c_0_596,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_233]),
[final] ).
cnf(c_0_597,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_233]),c_0_145]),
[final] ).
cnf(c_0_598,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_233]),c_0_81]),
[final] ).
cnf(c_0_599,plain,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_477]),
[final] ).
cnf(c_0_600,plain,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_477]),
[final] ).
cnf(c_0_601,plain,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_477]),
[final] ).
cnf(c_0_602,plain,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_414]),
[final] ).
cnf(c_0_603,plain,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_414]),
[final] ).
cnf(c_0_604,plain,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_414]),
[final] ).
cnf(c_0_605,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_477]),c_0_222]),
[final] ).
cnf(c_0_606,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_414]),c_0_145]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product2(e_3,e_1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_414]),c_0_81]),
[final] ).
cnf(c_0_608,plain,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_370]),
[final] ).
cnf(c_0_609,plain,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_370]),
[final] ).
cnf(c_0_610,plain,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_370]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_370]),c_0_81]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_478]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_478]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_478]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_478]),c_0_81]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_478]),c_0_109]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_479]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_479]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_479]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_479]),c_0_121]),
[final] ).
cnf(c_0_621,negated_conjecture,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_373]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_373]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_373]),
[final] ).
cnf(c_0_624,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_373]),c_0_132]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_480]),
[final] ).
cnf(c_0_626,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_480]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_480]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_417]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_417]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_417]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_417]),c_0_113]),c_0_481]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_482]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product1(X1,e_1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_418]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_482]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_482]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_482]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_418]),
[final] ).
cnf(c_0_638,negated_conjecture,
( ~ product1(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_418]),
[final] ).
cnf(c_0_639,negated_conjecture,
( ~ product1(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_418]),
[final] ).
cnf(c_0_640,negated_conjecture,
( ~ product1(X1,e_2,e_1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_344]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product1(e_3,e_2,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_344]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_344]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_483]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_483]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_483]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_422]),
[final] ).
cnf(c_0_647,negated_conjecture,
( ~ product2(X1,e_4,e_3)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_484]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_484]),
[final] ).
cnf(c_0_649,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_484]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_484]),c_0_145]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_422]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_422]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_422]),
[final] ).
cnf(c_0_654,negated_conjecture,
( ~ product2(X1,e_3,e_4)
| equalish(X1,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_343]),
[final] ).
cnf(c_0_655,negated_conjecture,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_3)
| product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_343]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_4)
| product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_343]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_343]),c_0_105]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product1(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_376]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product1(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_376]),
[final] ).
cnf(c_0_660,negated_conjecture,
( ~ product1(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_376]),
[final] ).
cnf(c_0_661,negated_conjecture,
( ~ product1(X1,e_3,e_2)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_378]),
[final] ).
cnf(c_0_662,negated_conjecture,
( ~ product1(e_1,e_3,X1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_378]),
[final] ).
cnf(c_0_663,negated_conjecture,
( ~ product1(e_1,X1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_378]),
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_305]),
[final] ).
cnf(c_0_665,negated_conjecture,
( ~ product1(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_305]),
[final] ).
cnf(c_0_666,negated_conjecture,
( ~ product1(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_305]),
[final] ).
cnf(c_0_667,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_485]),
[final] ).
cnf(c_0_668,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_485]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_485]),
[final] ).
cnf(c_0_670,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_423]),
[final] ).
cnf(c_0_671,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_423]),
[final] ).
cnf(c_0_672,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_423]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_423]),c_0_121]),
[final] ).
cnf(c_0_674,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_266]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_266]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_266]),
[final] ).
cnf(c_0_677,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_254]),
[final] ).
cnf(c_0_678,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_254]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_254]),
[final] ).
cnf(c_0_680,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_266]),c_0_222]),
[final] ).
cnf(c_0_681,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_254]),c_0_145]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_254]),c_0_81]),
[final] ).
cnf(c_0_683,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_486]),
[final] ).
cnf(c_0_684,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_486]),
[final] ).
cnf(c_0_685,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_486]),
[final] ).
cnf(c_0_686,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_486]),c_0_113]),
[final] ).
cnf(c_0_687,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_486]),c_0_121]),
[final] ).
cnf(c_0_688,plain,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_487]),
[final] ).
cnf(c_0_689,plain,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_487]),
[final] ).
cnf(c_0_690,plain,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_487]),
[final] ).
cnf(c_0_691,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_487]),c_0_105]),
[final] ).
cnf(c_0_692,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_488]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_488]),
[final] ).
cnf(c_0_694,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_488]),
[final] ).
cnf(c_0_695,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_488]),c_0_113]),
[final] ).
cnf(c_0_696,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_488]),c_0_121]),
[final] ).
cnf(c_0_697,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_489]),
[final] ).
cnf(c_0_698,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_489]),
[final] ).
cnf(c_0_699,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_489]),
[final] ).
cnf(c_0_700,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_489]),c_0_113]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_490]),
[final] ).
cnf(c_0_702,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_490]),
[final] ).
cnf(c_0_703,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_490]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_428]),
[final] ).
cnf(c_0_705,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_428]),
[final] ).
cnf(c_0_706,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_428]),
[final] ).
cnf(c_0_707,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_428]),c_0_121]),
[final] ).
cnf(c_0_708,negated_conjecture,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_381]),
[final] ).
cnf(c_0_709,negated_conjecture,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_381]),
[final] ).
cnf(c_0_710,negated_conjecture,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_381]),
[final] ).
cnf(c_0_711,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_381]),c_0_81]),
[final] ).
cnf(c_0_712,plain,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_425]),
[final] ).
cnf(c_0_713,plain,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_425]),
[final] ).
cnf(c_0_714,plain,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_425]),
[final] ).
cnf(c_0_715,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_425]),c_0_60]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_491]),
[final] ).
cnf(c_0_717,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_491]),
[final] ).
cnf(c_0_718,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_491]),
[final] ).
cnf(c_0_719,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_491]),c_0_113]),
[final] ).
cnf(c_0_720,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_491]),c_0_121]),
[final] ).
cnf(c_0_721,negated_conjecture,
( ~ product2(X1,e_1,e_4)
| equalish(X1,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_492]),
[final] ).
cnf(c_0_722,negated_conjecture,
( ~ product2(e_3,X1,e_4)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_492]),
[final] ).
cnf(c_0_723,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_492]),
[final] ).
cnf(c_0_724,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_492]),c_0_86]),
[final] ).
cnf(c_0_725,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_492]),c_0_94]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_493]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_493]),
[final] ).
cnf(c_0_728,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_493]),
[final] ).
cnf(c_0_729,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_493]),c_0_145]),
[final] ).
cnf(c_0_730,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_493]),c_0_81]),
[final] ).
cnf(c_0_731,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_494]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_494]),
[final] ).
cnf(c_0_733,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_494]),
[final] ).
cnf(c_0_734,negated_conjecture,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_432]),
[final] ).
cnf(c_0_735,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_432]),
[final] ).
cnf(c_0_736,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_432]),
[final] ).
cnf(c_0_737,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_432]),c_0_121]),
[final] ).
cnf(c_0_738,negated_conjecture,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_384]),
[final] ).
cnf(c_0_739,negated_conjecture,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_384]),
[final] ).
cnf(c_0_740,negated_conjecture,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_384]),
[final] ).
cnf(c_0_741,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_384]),c_0_81]),
[final] ).
cnf(c_0_742,negated_conjecture,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_385]),
[final] ).
cnf(c_0_743,negated_conjecture,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_385]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_385]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_385]),c_0_81]),
[final] ).
cnf(c_0_746,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_495]),
[final] ).
cnf(c_0_747,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_495]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_495]),
[final] ).
cnf(c_0_749,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_4,e_1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_495]),c_0_121]),c_0_481]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_496]),
[final] ).
cnf(c_0_751,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_496]),
[final] ).
cnf(c_0_752,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_496]),
[final] ).
cnf(c_0_753,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_497]),
[final] ).
cnf(c_0_754,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_497]),
[final] ).
cnf(c_0_755,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_497]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_497]),c_0_121]),
[final] ).
cnf(c_0_757,negated_conjecture,
( ~ product1(X1,e_4,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_324]),
[final] ).
cnf(c_0_758,negated_conjecture,
( ~ product1(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_324]),
[final] ).
cnf(c_0_759,negated_conjecture,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_324]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_308]),
[final] ).
cnf(c_0_761,negated_conjecture,
( ~ product1(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_308]),
[final] ).
cnf(c_0_762,negated_conjecture,
( ~ product1(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_308]),
[final] ).
cnf(c_0_763,negated_conjecture,
( ~ product2(X1,e_4,e_3)
| equalish(X1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_391]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_4)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_391]),
[final] ).
cnf(c_0_765,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_3)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_391]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product1(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_390]),
[final] ).
cnf(c_0_767,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_391]),c_0_222]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product1(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_390]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product1(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_390]),
[final] ).
cnf(c_0_770,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_269]),
[final] ).
cnf(c_0_771,negated_conjecture,
( ~ product1(e_2,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_269]),
[final] ).
cnf(c_0_772,negated_conjecture,
( ~ product1(e_2,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_269]),
[final] ).
cnf(c_0_773,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_498]),
[final] ).
cnf(c_0_774,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_498]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_498]),
[final] ).
cnf(c_0_776,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_237]),
[final] ).
cnf(c_0_777,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_237]),
[final] ).
cnf(c_0_778,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_237]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_237]),c_0_105]),
[final] ).
cnf(c_0_780,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_226]),
[final] ).
cnf(c_0_781,negated_conjecture,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_226]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_226]),
[final] ).
cnf(c_0_783,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_226]),c_0_90]),
[final] ).
cnf(c_0_784,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_226]),c_0_60]),
[final] ).
cnf(c_0_785,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_213]),
[final] ).
cnf(c_0_786,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_213]),
[final] ).
cnf(c_0_787,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_213]),
[final] ).
cnf(c_0_788,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_213]),c_0_105]),
[final] ).
cnf(c_0_789,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_499]),
[final] ).
cnf(c_0_790,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_499]),
[final] ).
cnf(c_0_791,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_499]),
[final] ).
cnf(c_0_792,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_500]),
[final] ).
cnf(c_0_793,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_500]),
[final] ).
cnf(c_0_794,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_4,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_499]),c_0_121]),c_0_481]),
[final] ).
cnf(c_0_795,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_500]),
[final] ).
cnf(c_0_796,plain,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_501]),
[final] ).
cnf(c_0_797,plain,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_501]),
[final] ).
cnf(c_0_798,plain,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_501]),
[final] ).
cnf(c_0_799,plain,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_183]),
[final] ).
cnf(c_0_800,plain,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_183]),
[final] ).
cnf(c_0_801,plain,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product2(e_4,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_183]),
[final] ).
cnf(c_0_802,plain,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_502]),
[final] ).
cnf(c_0_803,plain,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_502]),
[final] ).
cnf(c_0_804,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_503]),
[final] ).
cnf(c_0_805,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_503]),
[final] ).
cnf(c_0_806,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_503]),
[final] ).
cnf(c_0_807,plain,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product2(e_1,e_4,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_502]),
[final] ).
cnf(c_0_808,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_500]),c_0_105]),
[final] ).
cnf(c_0_809,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product2(e_4,e_1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_501]),c_0_105]),
[final] ).
cnf(c_0_810,plain,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_320]),
[final] ).
cnf(c_0_811,plain,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_320]),
[final] ).
cnf(c_0_812,plain,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_320]),
[final] ).
cnf(c_0_813,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_504]),
[final] ).
cnf(c_0_814,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_504]),
[final] ).
cnf(c_0_815,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_505]),
[final] ).
cnf(c_0_816,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_505]),
[final] ).
cnf(c_0_817,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_505]),
[final] ).
cnf(c_0_818,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_444]),
[final] ).
cnf(c_0_819,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_444]),
[final] ).
cnf(c_0_820,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_444]),
[final] ).
cnf(c_0_821,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_444]),c_0_121]),
[final] ).
cnf(c_0_822,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_504]),
[final] ).
cnf(c_0_823,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_442]),
[final] ).
cnf(c_0_824,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_442]),
[final] ).
cnf(c_0_825,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_442]),
[final] ).
cnf(c_0_826,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_320]),c_0_222]),
[final] ).
cnf(c_0_827,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_504]),c_0_81]),
[final] ).
cnf(c_0_828,negated_conjecture,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_506]),
[final] ).
cnf(c_0_829,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_506]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_506]),
[final] ).
cnf(c_0_831,plain,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_440]),
[final] ).
cnf(c_0_832,plain,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_440]),
[final] ).
cnf(c_0_833,plain,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_440]),
[final] ).
cnf(c_0_834,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_507]),
[final] ).
cnf(c_0_835,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_507]),
[final] ).
cnf(c_0_836,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_507]),
[final] ).
cnf(c_0_837,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_507]),c_0_121]),
[final] ).
cnf(c_0_838,plain,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_175]),
[final] ).
cnf(c_0_839,plain,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_175]),
[final] ).
cnf(c_0_840,plain,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_175]),
[final] ).
cnf(c_0_841,negated_conjecture,
( ~ product1(X1,e_4,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_325]),
[final] ).
cnf(c_0_842,negated_conjecture,
( ~ product1(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_325]),
[final] ).
cnf(c_0_843,negated_conjecture,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_325]),
[final] ).
cnf(c_0_844,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_309]),
[final] ).
cnf(c_0_845,negated_conjecture,
( ~ product1(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_309]),
[final] ).
cnf(c_0_846,negated_conjecture,
( ~ product1(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_309]),
[final] ).
cnf(c_0_847,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_442]),c_0_113]),c_0_481]),
[final] ).
cnf(c_0_848,plain,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_508]),
[final] ).
cnf(c_0_849,plain,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_508]),
[final] ).
cnf(c_0_850,plain,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_508]),
[final] ).
cnf(c_0_851,plain,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_441]),
[final] ).
cnf(c_0_852,plain,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_441]),
[final] ).
cnf(c_0_853,plain,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_441]),
[final] ).
cnf(c_0_854,plain,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_383]),
[final] ).
cnf(c_0_855,plain,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_383]),
[final] ).
cnf(c_0_856,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_506]),c_0_132]),
[final] ).
cnf(c_0_857,plain,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_383]),
[final] ).
cnf(c_0_858,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_440]),c_0_90]),
[final] ).
cnf(c_0_859,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_440]),c_0_60]),
[final] ).
cnf(c_0_860,negated_conjecture,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_387]),
[final] ).
cnf(c_0_861,negated_conjecture,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_387]),
[final] ).
cnf(c_0_862,negated_conjecture,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_387]),
[final] ).
cnf(c_0_863,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_359]),
[final] ).
cnf(c_0_864,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_359]),
[final] ).
cnf(c_0_865,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_359]),
[final] ).
cnf(c_0_866,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_333]),
[final] ).
cnf(c_0_867,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_333]),
[final] ).
cnf(c_0_868,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_359]),c_0_222]),
[final] ).
cnf(c_0_869,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_333]),
[final] ).
cnf(c_0_870,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_333]),c_0_145]),
[final] ).
cnf(c_0_871,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_333]),c_0_81]),
[final] ).
cnf(c_0_872,plain,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_303]),
[final] ).
cnf(c_0_873,plain,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_303]),
[final] ).
cnf(c_0_874,plain,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_303]),
[final] ).
cnf(c_0_875,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_441]),c_0_121]),
[final] ).
cnf(c_0_876,negated_conjecture,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_509]),
[final] ).
cnf(c_0_877,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_509]),
[final] ).
cnf(c_0_878,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_509]),
[final] ).
cnf(c_0_879,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_509]),c_0_121]),
[final] ).
cnf(c_0_880,plain,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_446]),
[final] ).
cnf(c_0_881,plain,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_3)
| product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_446]),
[final] ).
cnf(c_0_882,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_383]),c_0_81]),
[final] ).
cnf(c_0_883,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_387]),c_0_81]),
[final] ).
cnf(c_0_884,plain,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_2)
| product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_446]),
[final] ).
cnf(c_0_885,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product2(e_3,e_1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_303]),c_0_81]),
[final] ).
cnf(c_0_886,negated_conjecture,
( ~ product2(X1,e_3,e_4)
| equalish(X1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_510]),
[final] ).
cnf(c_0_887,negated_conjecture,
( ~ product2(e_2,X1,e_4)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_510]),
[final] ).
cnf(c_0_888,negated_conjecture,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_510]),
[final] ).
cnf(c_0_889,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_510]),c_0_90]),
[final] ).
cnf(c_0_890,negated_conjecture,
( ~ product2(X1,e_4,e_3)
| equalish(X1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_396]),
[final] ).
cnf(c_0_891,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_4)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_396]),
[final] ).
cnf(c_0_892,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_3)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_396]),
[final] ).
cnf(c_0_893,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_4,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_396]),c_0_222]),
[final] ).
cnf(c_0_894,negated_conjecture,
( ~ product1(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_398]),
[final] ).
cnf(c_0_895,negated_conjecture,
( ~ product1(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_398]),
[final] ).
cnf(c_0_896,negated_conjecture,
( ~ product1(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_398]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_270]),
[final] ).
cnf(c_0_898,negated_conjecture,
( ~ product1(e_2,e_3,X1)
| equalish(X1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_270]),
[final] ).
cnf(c_0_899,negated_conjecture,
( ~ product1(e_2,X1,e_1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_270]),
[final] ).
cnf(c_0_900,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_511]),
[final] ).
cnf(c_0_901,negated_conjecture,
( ~ product1(X1,e_1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_435]),
[final] ).
cnf(c_0_902,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_511]),
[final] ).
cnf(c_0_903,negated_conjecture,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_511]),
[final] ).
cnf(c_0_904,negated_conjecture,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_511]),
[final] ).
cnf(c_0_905,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_435]),
[final] ).
cnf(c_0_906,negated_conjecture,
( ~ product1(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_435]),
[final] ).
cnf(c_0_907,negated_conjecture,
( ~ product1(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_435]),
[final] ).
cnf(c_0_908,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_512]),c_0_132]),
[final] ).
cnf(c_0_909,negated_conjecture,
( ~ product1(X1,e_2,e_1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_357]),
[final] ).
cnf(c_0_910,negated_conjecture,
( ~ product1(e_3,e_2,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_357]),
[final] ).
cnf(c_0_911,negated_conjecture,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_357]),
[final] ).
cnf(c_0_912,negated_conjecture,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_3)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_512]),
[final] ).
cnf(c_0_913,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_513]),
[final] ).
cnf(c_0_914,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_513]),
[final] ).
cnf(c_0_915,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_513]),
[final] ).
cnf(c_0_916,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_512]),
[final] ).
cnf(c_0_917,negated_conjecture,
( ~ product2(e_3,e_2,X1)
| equalish(X1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_512]),
[final] ).
cnf(c_0_918,plain,
( ~ product2(X1,e_2,e_1)
| equalish(X1,e_3)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_260]),
[final] ).
cnf(c_0_919,plain,
( ~ product2(e_3,e_2,X1)
| equalish(X1,e_1)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_260]),
[final] ).
cnf(c_0_920,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_260]),c_0_60]),
[final] ).
cnf(c_0_921,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_260]),c_0_132]),
[final] ).
cnf(c_0_922,plain,
( ~ product2(e_3,e_2,X1)
| equalish(X1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_162]),
[final] ).
cnf(c_0_923,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_162]),c_0_60]),
[final] ).
cnf(c_0_924,negated_conjecture,
( ~ product1(e_2,e_1,e_1)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_162]),c_0_222]),
[final] ).
cnf(c_0_925,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_162]),c_0_132]),
[final] ).
cnf(c_0_926,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_352]),
[final] ).
cnf(c_0_927,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_352]),
[final] ).
cnf(c_0_928,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product2(e_1,e_3,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_446]),c_0_121]),
[final] ).
cnf(c_0_929,plain,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_304]),
[final] ).
cnf(c_0_930,plain,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_1)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_304]),
[final] ).
cnf(c_0_931,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_304]),c_0_121]),
[final] ).
cnf(c_0_932,plain,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_310]),
[final] ).
cnf(c_0_933,plain,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_310]),
[final] ).
cnf(c_0_934,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_310]),c_0_113]),
[final] ).
cnf(c_0_935,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_310]),c_0_121]),
[final] ).
cnf(c_0_936,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_238]),
[final] ).
cnf(c_0_937,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_238]),
[final] ).
cnf(c_0_938,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_227]),
[final] ).
cnf(c_0_939,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_238]),c_0_105]),
[final] ).
cnf(c_0_940,negated_conjecture,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_227]),
[final] ).
cnf(c_0_941,negated_conjecture,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_227]),
[final] ).
cnf(c_0_942,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_227]),c_0_90]),
[final] ).
cnf(c_0_943,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_227]),c_0_60]),
[final] ).
cnf(c_0_944,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_451]),
[final] ).
cnf(c_0_945,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_451]),
[final] ).
cnf(c_0_946,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_451]),
[final] ).
cnf(c_0_947,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_515]),c_0_81]),
[final] ).
cnf(c_0_948,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_182]),
[final] ).
cnf(c_0_949,negated_conjecture,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_182]),
[final] ).
cnf(c_0_950,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_515]),
[final] ).
cnf(c_0_951,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_299]),
[final] ).
cnf(c_0_952,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_299]),
[final] ).
cnf(c_0_953,negated_conjecture,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_299]),
[final] ).
cnf(c_0_954,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_515]),
[final] ).
cnf(c_0_955,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_299]),c_0_121]),
[final] ).
cnf(c_0_956,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_451]),c_0_113]),c_0_481]),
[final] ).
cnf(c_0_957,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_515]),
[final] ).
cnf(c_0_958,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_516]),
[final] ).
cnf(c_0_959,negated_conjecture,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_516]),
[final] ).
cnf(c_0_960,negated_conjecture,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_516]),
[final] ).
cnf(c_0_961,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_329]),
[final] ).
cnf(c_0_962,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_329]),
[final] ).
cnf(c_0_963,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_182]),c_0_121]),c_0_114]),
[final] ).
cnf(c_0_964,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_329]),
[final] ).
cnf(c_0_965,negated_conjecture,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_4)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_210]),
[final] ).
cnf(c_0_966,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_210]),
[final] ).
cnf(c_0_967,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_210]),c_0_90]),
[final] ).
cnf(c_0_968,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_4,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_329]),c_0_113]),c_0_481]),
[final] ).
cnf(c_0_969,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_517]),
[final] ).
cnf(c_0_970,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_517]),
[final] ).
cnf(c_0_971,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_517]),
[final] ).
cnf(c_0_972,negated_conjecture,
( ~ product2(X1,e_4,e_2)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_453]),
[final] ).
cnf(c_0_973,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_453]),
[final] ).
cnf(c_0_974,negated_conjecture,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_453]),
[final] ).
cnf(c_0_975,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_453]),c_0_121]),
[final] ).
cnf(c_0_976,negated_conjecture,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_216]),
[final] ).
cnf(c_0_977,negated_conjecture,
( ~ product2(e_4,X1,e_3)
| equalish(X1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_216]),
[final] ).
cnf(c_0_978,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_216]),
[final] ).
cnf(c_0_979,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_216]),c_0_94]),
[final] ).
cnf(c_0_980,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_216]),c_0_86]),
[final] ).
cnf(c_0_981,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_518]),
[final] ).
cnf(c_0_982,negated_conjecture,
( ~ product1(X1,e_1,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_1)
| product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_454]),
[final] ).
cnf(c_0_983,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_518]),
[final] ).
cnf(c_0_984,negated_conjecture,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_518]),
[final] ).
cnf(c_0_985,negated_conjecture,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_518]),
[final] ).
cnf(c_0_986,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_454]),
[final] ).
cnf(c_0_987,negated_conjecture,
( ~ product1(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_454]),
[final] ).
cnf(c_0_988,negated_conjecture,
( ~ product1(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_454]),
[final] ).
cnf(c_0_989,negated_conjecture,
( ~ product2(X1,e_3,e_4)
| equalish(X1,e_1)
| product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_356]),
[final] ).
cnf(c_0_990,negated_conjecture,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_3)
| product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_356]),
[final] ).
cnf(c_0_991,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_4)
| product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_356]),
[final] ).
cnf(c_0_992,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_356]),c_0_105]),
[final] ).
cnf(c_0_993,negated_conjecture,
( ~ product1(X1,e_2,e_1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_362]),
[final] ).
cnf(c_0_994,negated_conjecture,
( ~ product1(e_3,e_2,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_362]),
[final] ).
cnf(c_0_995,negated_conjecture,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_362]),
[final] ).
cnf(c_0_996,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_313]),
[final] ).
cnf(c_0_997,negated_conjecture,
( ~ product1(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_313]),
[final] ).
cnf(c_0_998,negated_conjecture,
( ~ product1(e_2,X1,e_1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_313]),
[final] ).
cnf(c_0_999,negated_conjecture,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_225]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_225]),c_0_81]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( ~ product1(e_2,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_225]),c_0_105]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_225]),c_0_109]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( ~ product1(X1,e_3,e_4)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_169]),
[final] ).
cnf(c_0_1004,plain,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_169]),
[final] ).
cnf(c_0_1005,plain,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_169]),
[final] ).
cnf(c_0_1006,plain,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_160]),
[final] ).
cnf(c_0_1007,plain,
( ~ product1(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_160]),
[final] ).
cnf(c_0_1008,plain,
( ~ product1(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_160]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( ~ product1(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_401]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( ~ product1(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_401]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( ~ product1(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_401]),
[final] ).
cnf(c_0_1012,plain,
( ~ product1(X1,e_2,e_1)
| equalish(X1,e_3)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_152]),
[final] ).
cnf(c_0_1013,plain,
( ~ product1(e_3,e_2,X1)
| equalish(X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_152]),
[final] ).
cnf(c_0_1014,plain,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_152]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_394]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_394]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_394]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_267]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_267]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( ~ product2(X1,e_1,e_3)
| equalish(X1,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_519]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_112]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_3)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_112]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_112]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_267]),c_0_90]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_267]),c_0_60]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_519]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_255]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_3)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_519]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( ~ product1(X1,e_2,e_1)
| equalish(X1,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_96]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( ~ product1(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_96]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_96]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( ~ product2(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_364]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_364]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_364]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_336]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_336]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_336]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_311]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( ~ product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_364]),c_0_222]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_311]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_336]),c_0_145]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( ~ product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product2(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_336]),c_0_81]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( ~ product2(X1,e_1,e_2)
| equalish(X1,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_296]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_296]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_311]),c_0_105]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_296]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_296]),c_0_90]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_296]),c_0_60]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( ~ product2(e_3,e_2,X1)
| equalish(X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_253]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_253]),c_0_60]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_253]),c_0_132]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_519]),c_0_145]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( ~ product2(X1,e_2,e_3)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_198]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_2)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_198]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_198]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( ~ product2(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_520]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_520]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_520]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( ~ product2(X1,e_3,e_2)
| equalish(X1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_455]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_3)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_455]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_455]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product2(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_455]),c_0_121]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_178]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_178]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_178]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( ~ product2(X1,e_3,e_4)
| equalish(X1,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_521]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_3)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_521]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_4)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_521]),
[final] ).
cnf(c_0_1069,plain,
( ~ product2(X1,e_1,e_4)
| equalish(X1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_272]),
[final] ).
cnf(c_0_1070,plain,
( ~ product2(e_2,X1,e_4)
| equalish(X1,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_272]),
[final] ).
cnf(c_0_1071,plain,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_4)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_272]),
[final] ).
cnf(c_0_1072,plain,
( ~ product2(e_3,X1,e_4)
| equalish(X1,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_139]),
[final] ).
cnf(c_0_1073,plain,
( ~ product2(e_3,e_1,X1)
| equalish(X1,e_4)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_139]),
[final] ).
cnf(c_0_1074,plain,
( ~ product2(X1,e_2,e_4)
| equalish(X1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_230]),
[final] ).
cnf(c_0_1075,plain,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_230]),
[final] ).
cnf(c_0_1076,plain,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_4)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_230]),
[final] ).
cnf(c_0_1077,plain,
( ~ product2(e_3,e_2,X1)
| equalish(X1,e_4)
| product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_127]),
[final] ).
cnf(c_0_1078,plain,
( ~ product2(X1,e_3,e_4)
| equalish(X1,e_1)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_264]),
[final] ).
cnf(c_0_1079,plain,
( ~ product2(e_1,e_3,X1)
| equalish(X1,e_4)
| product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_264]),
[final] ).
cnf(c_0_1080,plain,
( ~ product2(e_2,e_3,X1)
| equalish(X1,e_4)
| product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_252]),
[final] ).
cnf(c_0_1081,plain,
( ~ product1(X1,e_1,e_4)
| equalish(X1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_131]),
[final] ).
cnf(c_0_1082,plain,
( ~ product1(e_2,e_1,X1)
| equalish(X1,e_4)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_131]),
[final] ).
cnf(c_0_1083,plain,
( ~ product1(e_2,X1,e_4)
| equalish(X1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_131]),
[final] ).
cnf(c_0_1084,plain,
( ~ product1(X1,e_1,e_4)
| equalish(X1,e_3)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_123]),
[final] ).
cnf(c_0_1085,plain,
( ~ product1(e_3,e_1,X1)
| equalish(X1,e_4)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_123]),
[final] ).
cnf(c_0_1086,plain,
( ~ product1(e_3,X1,e_4)
| equalish(X1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_123]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( ~ product2(X1,e_1,e_4)
| equalish(X1,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_248]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( ~ product1(X1,e_2,e_3)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_72]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( ~ product2(e_2,e_1,X1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_248]),
[final] ).
cnf(c_0_1090,plain,
( ~ product1(X1,e_2,e_4)
| equalish(X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_166]),
[final] ).
cnf(c_0_1091,plain,
( ~ product1(e_1,e_2,X1)
| equalish(X1,e_4)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_166]),
[final] ).
cnf(c_0_1092,plain,
( ~ product1(e_1,X1,e_4)
| equalish(X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_166]),
[final] ).
cnf(c_0_1093,plain,
( ~ next(e_2,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_522,c_0_462]),
[final] ).
cnf(c_0_1094,plain,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_153]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_153]),c_0_81]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_153]),c_0_109]),
[final] ).
cnf(c_0_1097,plain,
( ~ product1(e_3,e_2,X1)
| equalish(X1,e_4)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_72]),
[final] ).
cnf(c_0_1098,plain,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_231]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_231]),c_0_121]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( ~ product1(e_3,e_1,e_1)
| product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_521]),c_0_105]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( ~ product1(X1,e_2,e_4)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_63,c_0_143]),
[final] ).
cnf(c_0_1102,plain,
( ~ product1(e_4,e_2,X1)
| equalish(X1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_143]),
[final] ).
cnf(c_0_1103,plain,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_2)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_143]),
[final] ).
cnf(c_0_1104,plain,
( ~ product1(X1,e_3,e_4)
| equalish(X1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_171]),
[final] ).
cnf(c_0_1105,plain,
( ~ product1(e_1,e_3,X1)
| equalish(X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_171]),
[final] ).
cnf(c_0_1106,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_272]),c_0_60]),
[final] ).
cnf(c_0_1107,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_523,c_0_462]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_139]),c_0_86]),
[final] ).
cnf(c_0_1109,plain,
( ~ product2(e_4,e_1,X1)
| equalish(X1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_137]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_137]),c_0_86]),
[final] ).
cnf(c_0_1111,plain,
( ~ next(e_3,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_524,c_0_405]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_230]),c_0_109]),
[final] ).
cnf(c_0_1113,plain,
( ~ product1(e_1,X1,e_4)
| equalish(X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_171]),
[final] ).
cnf(c_0_1114,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_127]),c_0_86]),
[final] ).
cnf(c_0_1115,plain,
( ~ product2(e_4,e_2,X1)
| equalish(X1,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_125]),
[final] ).
cnf(c_0_1116,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_125]),c_0_86]),
[final] ).
cnf(c_0_1117,plain,
( ~ product2(e_4,e_3,X1)
| equalish(X1,e_2)
| product2(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_98]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| ~ product2(X1,e_3,e_1)
| equalish(X1,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_104]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( ~ product1(e_3,e_2,e_2)
| ~ product2(e_4,e_3,X1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_104]),
[final] ).
cnf(c_0_1120,plain,
( ~ product1(e_2,e_3,X1)
| equalish(X1,e_4)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_469,c_0_117]),
[final] ).
cnf(c_0_1121,plain,
( ~ product2(X1,e_4,e_3)
| equalish(X1,e_1)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_205]),
[final] ).
cnf(c_0_1122,plain,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_4)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_205]),
[final] ).
cnf(c_0_1123,plain,
( ~ product2(e_1,e_4,X1)
| equalish(X1,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_205]),
[final] ).
cnf(c_0_1124,plain,
( ~ product2(e_2,e_4,X1)
| equalish(X1,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_189]),
[final] ).
cnf(c_0_1125,plain,
( ~ product2(e_3,e_4,X1)
| equalish(X1,e_2)
| product2(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_219]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| ~ product2(X1,e_4,e_1)
| equalish(X1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_330]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( ~ product1(e_4,e_2,e_2)
| ~ product2(e_3,e_4,X1)
| equalish(X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_330]),
[final] ).
cnf(c_0_1128,plain,
( ~ product1(e_4,e_1,X1)
| equalish(X1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_120]),
[final] ).
cnf(c_0_1129,plain,
( ~ product1(e_4,X1,e_3)
| equalish(X1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_120]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( ~ product2(e_3,e_2,X1)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_287]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_287]),c_0_86]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( ~ product1(e_2,e_3,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_287]),c_0_94]),
[final] ).
cnf(c_0_1133,plain,
( ~ product1(e_2,e_4,X1)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_275]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( ~ product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_248]),c_0_60]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( ~ product1(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_248]),c_0_90]),
[final] ).
cnf(c_0_1136,plain,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(spm,[status(thm)],[c_0_525,c_0_526]),
[final] ).
cnf(c_0_1137,plain,
( ~ next(e_2,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_457,c_0_527]),
[final] ).
cnf(c_0_1138,plain,
( ~ product1(X1,e_2,e_3)
| equalish(X1,e_4)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_64]),
[final] ).
cnf(c_0_1139,plain,
( ~ product1(e_4,e_2,X1)
| equalish(X1,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_64]),
[final] ).
cnf(c_0_1140,plain,
( ~ next(e_3,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_459,c_0_528]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( ~ product2(e_1,e_2,X1)
| equalish(X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_208]),
[final] ).
cnf(c_0_1142,negated_conjecture,
( ~ product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_208]),c_0_109]),
[final] ).
cnf(c_0_1143,negated_conjecture,
( ~ product1(X1,e_4,e_1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_184]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( ~ product1(e_3,e_4,X1)
| equalish(X1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_184]),
[final] ).
cnf(c_0_1145,plain,
( ~ product1(e_4,e_3,X1)
| equalish(X1,e_2)
| product1(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_149]),
[final] ).
cnf(c_0_1146,plain,
( ~ cycle(e_1,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_462]),
[final] ).
cnf(c_0_1147,plain,
( ~ cycle(e_2,X1)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_405]),
[final] ).
cnf(c_0_1148,plain,
( ~ product1(X1,e_4,e_3)
| equalish(X1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_239]),
[final] ).
cnf(c_0_1149,plain,
( ~ product1(e_1,e_4,X1)
| equalish(X1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_239]),
[final] ).
cnf(c_0_1150,plain,
( ~ product1(e_1,X1,e_3)
| equalish(X1,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_239]),
[final] ).
cnf(c_0_1151,plain,
( ~ cycle(e_3,X1)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_406]),
[final] ).
cnf(c_0_1152,plain,
( ~ next(e_4,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_530,c_0_462]),
[final] ).
cnf(c_0_1153,plain,
( ~ next(e_4,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1) ),
inference(spm,[status(thm)],[c_0_531,c_0_405]),
[final] ).
cnf(c_0_1154,plain,
( ~ next(e_4,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1) ),
inference(spm,[status(thm)],[c_0_532,c_0_406]),
[final] ).
cnf(c_0_1155,plain,
( ~ product1(e_2,e_4,X1)
| equalish(X1,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_164]),
[final] ).
cnf(c_0_1156,plain,
( ~ product1(e_2,X1,e_3)
| equalish(X1,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_164]),
[final] ).
cnf(c_0_1157,plain,
( ~ product1(e_3,e_4,X1)
| equalish(X1,e_2)
| product1(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_469,c_0_155]),
[final] ).
cnf(c_0_1158,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_1)
| equalish(e_1,X1) ),
inference(spm,[status(thm)],[c_0_533,c_0_526]),
[final] ).
cnf(c_0_1159,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_2)
| equalish(e_2,X1) ),
inference(spm,[status(thm)],[c_0_533,c_0_527]),
[final] ).
cnf(c_0_1160,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_3)
| equalish(e_3,X1) ),
inference(spm,[status(thm)],[c_0_533,c_0_528]),
[final] ).
cnf(c_0_1161,plain,
( ~ next(X2,X3)
| ~ next(X4,X1)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_4)
| equalish(e_4,X1) ),
inference(spm,[status(thm)],[c_0_533,c_0_534]),
[final] ).
cnf(c_0_1162,plain,
( ~ next(e_4,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1) ),
inference(spm,[status(thm)],[c_0_464,c_0_534]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( ~ product1(X2,X1,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_535,c_0_70]),
[final] ).
cnf(c_0_1164,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
c_0_536,
[final] ).
cnf(c_0_1165,plain,
( ~ cycle(e_4,X1)
| equalish(X1,e_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_407]),
[final] ).
cnf(c_0_1166,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
c_0_537,
[final] ).
cnf(c_0_1167,negated_conjecture,
~ product1(e_3,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_538]),c_0_109]),
[final] ).
cnf(c_0_1168,negated_conjecture,
~ product1(e_4,e_3,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_539]),c_0_132]),
[final] ).
cnf(c_0_1169,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_540,c_0_53]),
[final] ).
cnf(c_0_1170,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_1171,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_1172,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_1173,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-8.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:54:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 4.89/1.06 % Version: 3.5.1
% 4.89/1.06 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.89/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.89/1.06 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.89/1.06 % Starting new_bool_3 with 300s (1) cores
% 4.89/1.06 % Starting new_bool_1 with 300s (1) cores
% 4.89/1.06 % Starting sh5l with 300s (1) cores
% 4.89/1.06 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 492168 completed with status 1
% 4.89/1.06 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.89/1.06 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.89/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.89/1.06 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.89/1.06 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.89/1.06 % No SInE strategy applied
% 4.89/1.06 % Search class: FGHNS-FFMM00-SFFFFFNN
% 4.89/1.06 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.89/1.06 % Starting SubtermCWHack with 136s (1) cores
% 4.89/1.06 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.89/1.06 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 4.89/1.06 % Starting new_bool_3 with 136s (1) cores
% 4.89/1.06 % Starting new_bool_1 with 136s (1) cores
% 4.89/1.06 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 492173 completed with status 1
% 4.89/1.06 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.89/1.06 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.89/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.89/1.06 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.89/1.06 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.89/1.06 % No SInE strategy applied
% 4.89/1.06 % Search class: FGHNS-FFMM00-SFFFFFNN
% 4.89/1.06 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.89/1.06 % Starting SubtermCWHack with 136s (1) cores
% 4.89/1.06 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.89/1.06 % Preprocessing time : 0.002 s
% 4.89/1.06 % Presaturation interreduction done
% 4.89/1.06
% 4.89/1.06 % No proof found!
% 4.89/1.06 % SZS status Satisfiable
% 4.89/1.06 % SZS output start Saturation
% See solution above
% 4.89/1.07 % Parsed axioms : 48
% 4.89/1.07 % Removed by relevancy pruning/SinE : 0
% 4.89/1.07 % Initial clauses : 48
% 4.89/1.07 % Removed in clause preprocessing : 0
% 4.89/1.07 % Initial clauses in saturation : 48
% 4.89/1.07 % Processed clauses : 4350
% 4.89/1.07 % ...of these trivial : 0
% 4.89/1.07 % ...subsumed : 2939
% 4.89/1.07 % ...remaining for further processing : 1411
% 4.89/1.07 % Other redundant clauses eliminated : 0
% 4.89/1.07 % Clauses deleted for lack of memory : 0
% 4.89/1.07 % Backward-subsumed : 380
% 4.89/1.07 % Backward-rewritten : 1
% 4.89/1.07 % Generated clauses : 13089
% 4.89/1.07 % ...of the previous two non-redundant : 7035
% 4.89/1.07 % ...aggressively subsumed : 0
% 4.89/1.07 % Contextual simplify-reflections : 29
% 4.89/1.07 % Paramodulations : 13089
% 4.89/1.07 % Factorizations : 0
% 4.89/1.07 % NegExts : 0
% 4.89/1.07 % Equation resolutions : 0
% 4.89/1.07 % Disequality decompositions : 0
% 4.89/1.07 % Total rewrite steps : 6062
% 4.89/1.07 % ...of those cached : 6046
% 4.89/1.07 % Propositional unsat checks : 0
% 4.89/1.07 % Propositional check models : 0
% 4.89/1.07 % Propositional check unsatisfiable : 0
% 4.89/1.07 % Propositional clauses : 0
% 4.89/1.07 % Propositional clauses after purity: 0
% 4.89/1.07 % Propositional unsat core size : 0
% 4.89/1.07 % Propositional preprocessing time : 0.000
% 4.89/1.07 % Propositional encoding time : 0.000
% 4.89/1.07 % Propositional solver time : 0.000
% 4.89/1.07 % Success case prop preproc time : 0.000
% 4.89/1.07 % Success case prop encoding time : 0.000
% 4.89/1.07 % Success case prop solver time : 0.000
% 4.89/1.07 % Current number of processed clauses : 982
% 4.89/1.07 % Positive orientable unit clauses : 22
% 4.89/1.07 % Positive unorientable unit clauses: 0
% 4.89/1.07 % Negative unit clauses : 14
% 4.89/1.07 % Non-unit-clauses : 946
% 4.89/1.07 % Current number of unprocessed clauses: 0
% 4.89/1.07 % ...number of literals in the above : 0
% 4.89/1.07 % Current number of archived formulas : 0
% 4.89/1.07 % Current number of archived clauses : 429
% 4.89/1.07 % Clause-clause subsumption calls (NU) : 268751
% 4.89/1.07 % Rec. Clause-clause subsumption calls : 17752
% 4.89/1.07 % Non-unit clause-clause subsumptions : 3230
% 4.89/1.07 % Unit Clause-clause subsumption calls : 258
% 4.89/1.07 % Rewrite failures with RHS unbound : 0
% 4.89/1.07 % BW rewrite match attempts : 15
% 4.89/1.07 % BW rewrite match successes : 1
% 4.89/1.07 % Condensation attempts : 0
% 4.89/1.07 % Condensation successes : 0
% 4.89/1.07 % Termbank termtop insertions : 298232
% 4.89/1.07 % Search garbage collected termcells : 114
% 4.89/1.07
% 4.89/1.07 % -------------------------------------------------
% 4.89/1.07 % User time : 0.628 s
% 4.89/1.07 % System time : 0.006 s
% 4.89/1.07 % Total time : 0.633 s
% 4.89/1.07 % Maximum resident set size: 3920 pages
% 4.89/1.07
% 4.89/1.07 % -------------------------------------------------
% 4.89/1.07 % User time : 2.981 s
% 4.89/1.07 % System time : 0.052 s
% 4.89/1.07 % Total time : 3.033 s
% 4.89/1.07 % Maximum resident set size: 5120 pages
% 4.89/1.07 % E exiting
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