TSTP Solution File: GRP123-8.004 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP123-8.004 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:45:40 EDT 2024
% Result : Satisfiable 3.24s 0.79s
% Output : Saturation 3.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_49)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_50,plain,
( product1(X1,X2,e_1)
| product1(X1,X2,e_2)
| product1(X1,X2,e_3)
| product1(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
c_0_48,
[final] ).
cnf(c_0_51,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_52,plain,
( equalish(X1,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X4,X2,X3) ),
c_0_49,
[final] ).
cnf(c_0_53,axiom,
product1(X1,X1,X1),
product1_idempotence,
[final] ).
cnf(c_0_54,plain,
( product1(e_2,X1,e_4)
| product1(e_2,X1,e_3)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_1)
| ~ group_element(X1) ),
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_57,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_58,plain,
( equalish(X1,X2)
| ~ product1(X1,X2,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_61,plain,
( product1(e_1,X1,e_4)
| product1(e_1,X1,e_3)
| product1(e_1,X1,e_2)
| product1(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_57]),
[final] ).
cnf(c_0_63,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_66,plain,
( product1(e_2,e_4,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_58,c_0_59]),c_0_60]),
[final] ).
cnf(c_0_68,plain,
~ equalish(e_1,e_4),
c_0_62,
[final] ).
cnf(c_0_70,plain,
( product1(e_3,X1,e_4)
| product1(e_3,X1,e_3)
| product1(e_3,X1,e_2)
| product1(e_3,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]),
[final] ).
cnf(c_0_73,plain,
( product2(X1,X2,e_1)
| product2(X1,X2,e_2)
| product2(X1,X2,e_3)
| product2(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
c_0_64,
[final] ).
cnf(c_0_75,plain,
( equalish(X2,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X4,X3) ),
c_0_65,
[final] ).
cnf(c_0_76,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_66]),
[final] ).
cnf(c_0_77,plain,
( product1(e_1,e_4,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_58,c_0_67]),c_0_68]),
[final] ).
cnf(c_0_78,plain,
~ equalish(e_1,e_2),
c_0_69,
[final] ).
cnf(c_0_80,plain,
( product1(e_4,X1,e_4)
| product1(e_4,X1,e_3)
| product1(e_4,X1,e_2)
| product1(e_4,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_55]),
[final] ).
cnf(c_0_82,plain,
~ equalish(e_3,e_4),
c_0_71,
[final] ).
cnf(c_0_84,plain,
( equalish(X1,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X4,X2,X3) ),
c_0_72,
[final] ).
cnf(c_0_85,axiom,
product2(X1,X1,X1),
product2_idempotence,
[final] ).
cnf(c_0_86,plain,
( product2(e_2,X1,e_4)
| product2(e_2,X1,e_3)
| product2(e_2,X1,e_2)
| product2(e_2,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_51]),
[final] ).
cnf(c_0_87,negated_conjecture,
( product2(X4,X1,X2)
| ~ product1(X1,X2,X3)
| ~ product1(X3,X2,X4) ),
c_0_74,
[final] ).
cnf(c_0_88,plain,
( equalish(X1,X2)
| ~ product1(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_53]),
[final] ).
cnf(c_0_90,plain,
~ equalish(e_4,e_2),
c_0_79,
[final] ).
cnf(c_0_94,plain,
~ equalish(e_4,e_3),
c_0_83,
[final] ).
cnf(c_0_95,plain,
( equalish(X1,X2)
| ~ product2(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]),
[final] ).
cnf(c_0_97,plain,
( product2(e_1,X1,e_4)
| product2(e_1,X1,e_3)
| product2(e_1,X1,e_2)
| product2(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_57]),
[final] ).
cnf(c_0_98,plain,
( product2(e_3,X1,e_4)
| product2(e_3,X1,e_3)
| product2(e_3,X1,e_2)
| product2(e_3,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_63]),
[final] ).
cnf(c_0_99,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_77]),
[final] ).
cnf(c_0_100,plain,
( product1(e_2,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_88,c_0_89]),c_0_90]),
[final] ).
cnf(c_0_102,plain,
( product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_91]),c_0_68]),
[final] ).
cnf(c_0_103,plain,
( equalish(X2,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X4,X3) ),
c_0_92,
[final] ).
cnf(c_0_104,plain,
( product2(e_4,X1,e_4)
| product2(e_4,X1,e_3)
| product2(e_4,X1,e_2)
| product2(e_4,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_55]),
[final] ).
cnf(c_0_105,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_93]),c_0_94]),
[final] ).
cnf(c_0_107,plain,
( product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_60]),
[final] ).
cnf(c_0_110,negated_conjecture,
( product2(e_3,e_2,e_4)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]),
[final] ).
cnf(c_0_112,plain,
( equalish(X3,X4)
| ~ product2(X1,X2,X3)
| ~ product2(X1,X2,X4) ),
c_0_101,
[final] ).
cnf(c_0_113,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_102]),
[final] ).
cnf(c_0_114,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_57]),
[final] ).
cnf(c_0_116,plain,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_70,c_0_51]),
[final] ).
cnf(c_0_117,plain,
( equalish(X1,X2)
| ~ product2(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_85]),
[final] ).
cnf(c_0_119,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_3,e_4,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_105]),
[final] ).
cnf(c_0_121,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_107]),
[final] ).
cnf(c_0_122,plain,
( product2(e_1,e_4,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_95,c_0_108]),c_0_68]),
[final] ).
cnf(c_0_124,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_110]),
[final] ).
cnf(c_0_125,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_98,c_0_57]),
[final] ).
cnf(c_0_126,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_111]),c_0_60]),
[final] ).
cnf(c_0_127,plain,
( product2(e_3,e_2,e_1)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_98,c_0_51]),
[final] ).
cnf(c_0_128,plain,
( equalish(X1,X2)
| ~ product2(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_85]),
[final] ).
cnf(c_0_130,plain,
~ equalish(e_1,e_3),
c_0_115,
[final] ).
cnf(c_0_131,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_63]),
[final] ).
cnf(c_0_132,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_116]),
[final] ).
cnf(c_0_133,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_51]),
[final] ).
cnf(c_0_135,plain,
( product2(e_4,e_2,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_117,c_0_118]),c_0_60]),
[final] ).
cnf(c_0_138,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_120]),c_0_94]),
[final] ).
cnf(c_0_140,plain,
( product2(e_3,e_4,e_1)
| product2(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_123]),c_0_94]),
[final] ).
cnf(c_0_142,negated_conjecture,
( product2(e_3,X1,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_126]),
[final] ).
cnf(c_0_143,plain,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_127]),
[final] ).
cnf(c_0_144,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_51]),
[final] ).
cnf(c_0_145,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_4,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_128,c_0_129]),c_0_130]),
[final] ).
cnf(c_0_146,plain,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_131]),
[final] ).
cnf(c_0_147,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_63]),
[final] ).
cnf(c_0_149,plain,
~ equalish(e_2,e_3),
c_0_134,
[final] ).
cnf(c_0_151,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_135]),
[final] ).
cnf(c_0_152,plain,
( product2(e_4,e_1,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_117,c_0_136]),c_0_68]),
[final] ).
cnf(c_0_153,plain,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_127]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product1(e_3,e_4,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_128,c_0_137]),c_0_90]),
[final] ).
cnf(c_0_155,negated_conjecture,
( product2(e_2,X1,e_3)
| product1(e_4,e_3,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_138]),
[final] ).
cnf(c_0_156,plain,
( product2(e_2,e_4,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_117,c_0_139]),c_0_90]),
[final] ).
cnf(c_0_157,plain,
( product2(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_140]),
[final] ).
cnf(c_0_158,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,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_117,c_0_141]),c_0_130]),
[final] ).
cnf(c_0_160,plain,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_131]),
[final] ).
cnf(c_0_161,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_57]),
[final] ).
cnf(c_0_163,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_145]),
[final] ).
cnf(c_0_164,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_114]),
[final] ).
cnf(c_0_165,plain,
( product2(e_2,e_3,e_1)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_63]),
[final] ).
cnf(c_0_168,plain,
~ equalish(e_3,e_2),
c_0_150,
[final] ).
cnf(c_0_171,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_154]),
[final] ).
cnf(c_0_173,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_156]),
[final] ).
cnf(c_0_174,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(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_157,c_0_158]),c_0_68]),
[final] ).
cnf(c_0_179,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_156]),
[final] ).
cnf(c_0_180,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_4,e_1,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_163,c_0_114]),
[final] ).
cnf(c_0_181,negated_conjecture,
( product2(X1,X2,X1)
| ~ product1(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_53]),
[final] ).
cnf(c_0_183,plain,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_165]),
[final] ).
cnf(c_0_184,plain,
( 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_3,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_63]),
[final] ).
cnf(c_0_187,negated_conjecture,
( product2(e_4,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(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_133]),
[final] ).
cnf(c_0_188,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| 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_167]),c_0_168]),
[final] ).
cnf(c_0_189,plain,
( product2(e_4,e_2,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_95,c_0_169]),c_0_90]),
[final] ).
cnf(c_0_191,negated_conjecture,
( product2(e_1,e_2,e_4)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_171,c_0_66]),
[final] ).
cnf(c_0_192,negated_conjecture,
( product1(e_4,e_3,e_1)
| 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_128,c_0_172]),c_0_168]),
[final] ).
cnf(c_0_194,plain,
~ equalish(e_3,e_1),
c_0_175,
[final] ).
cnf(c_0_195,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_176]),c_0_90]),
[final] ).
cnf(c_0_197,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_178]),c_0_168]),
[final] ).
cnf(c_0_198,plain,
( product2(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_140]),
[final] ).
cnf(c_0_199,negated_conjecture,
( product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_82]),c_0_181]),
[final] ).
cnf(c_0_200,negated_conjecture,
( product2(e_4,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(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_161]),
[final] ).
cnf(c_0_201,plain,
( product1(e_3,e_1,e_2)
| 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_88,c_0_182]),c_0_130]),
[final] ).
cnf(c_0_203,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_116]),
[final] ).
cnf(c_0_205,negated_conjecture,
( product2(e_4,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(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_147]),
[final] ).
cnf(c_0_206,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_186]),c_0_168]),
[final] ).
cnf(c_0_208,negated_conjecture,
( product2(e_4,e_3,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_187,c_0_188]),
[final] ).
cnf(c_0_209,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_189]),
[final] ).
cnf(c_0_210,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| product2(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_190]),c_0_168]),
[final] ).
cnf(c_0_211,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_191]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_192]),
[final] ).
cnf(c_0_213,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_193]),c_0_194]),
[final] ).
cnf(c_0_214,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_195]),
[final] ).
cnf(c_0_215,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_125]),
[final] ).
cnf(c_0_216,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_57]),
[final] ).
cnf(c_0_217,plain,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_165]),
[final] ).
cnf(c_0_218,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_196]),c_0_168]),
[final] ).
cnf(c_0_219,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_197]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| 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_198,c_0_199]),c_0_130]),
[final] ).
cnf(c_0_222,negated_conjecture,
( product2(e_4,e_3,e_1)
| 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(spm,[status(thm)],[c_0_200,c_0_201]),
[final] ).
cnf(c_0_225,plain,
( product2(e_4,e_3,e_1)
| product2(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_204]),c_0_94]),
[final] ).
cnf(c_0_226,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_152]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product2(e_4,e_2,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_205,c_0_206]),
[final] ).
cnf(c_0_228,plain,
~ equalish(e_2,e_1),
c_0_207,
[final] ).
cnf(c_0_229,plain,
( product1(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_138]),
[final] ).
cnf(c_0_230,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_208]),
[final] ).
cnf(c_0_231,plain,
( 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_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_82]),
[final] ).
cnf(c_0_232,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_154]),
[final] ).
cnf(c_0_234,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_191]),
[final] ).
cnf(c_0_235,negated_conjecture,
( product2(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_212,c_0_131]),
[final] ).
cnf(c_0_236,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_213]),
[final] ).
cnf(c_0_237,negated_conjecture,
( product2(e_1,e_3,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_214,c_0_116]),
[final] ).
cnf(c_0_240,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_218]),
[final] ).
cnf(c_0_242,plain,
~ equalish(e_4,e_1),
c_0_221,
[final] ).
cnf(c_0_243,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_222]),
[final] ).
cnf(c_0_244,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_223]),c_0_168]),
[final] ).
cnf(c_0_246,plain,
( product2(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_225]),
[final] ).
cnf(c_0_247,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),
[final] ).
cnf(c_0_248,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_4,e_1,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_145]),c_0_130]),
[final] ).
cnf(c_0_249,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_126]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_192]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_235]),
[final] ).
cnf(c_0_257,negated_conjecture,
( product2(e_3,e_2,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_113,c_0_161]),
[final] ).
cnf(c_0_258,plain,
( product2(e_3,e_1,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_238]),c_0_130]),
[final] ).
cnf(c_0_260,negated_conjecture,
( product2(e_1,e_4,e_3)
| product1(e_4,e_3,e_1)
| 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_240,c_0_138]),
[final] ).
cnf(c_0_261,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_135]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(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_117,c_0_241]),c_0_242]),
[final] ).
cnf(c_0_264,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_245]),c_0_168]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_130]),
[final] ).
cnf(c_0_266,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_248]),
[final] ).
cnf(c_0_268,plain,
( product2(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_225]),
[final] ).
cnf(c_0_269,plain,
( 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)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_231]),c_0_130]),
[final] ).
cnf(c_0_271,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_251]),c_0_90]),
[final] ).
cnf(c_0_273,negated_conjecture,
( product2(e_3,e_2,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_95,c_0_253]),c_0_168]),
[final] ).
cnf(c_0_274,negated_conjecture,
( product1(e_2,e_4,e_1)
| 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_88,c_0_254]),c_0_90]),
[final] ).
cnf(c_0_277,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_100]),
[final] ).
cnf(c_0_278,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)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_257]),
[final] ).
cnf(c_0_279,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_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_258]),c_0_68]),
[final] ).
cnf(c_0_280,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_259]),c_0_168]),
[final] ).
cnf(c_0_283,negated_conjecture,
( product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_263]),c_0_130]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product2(e_1,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(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_264]),
[final] ).
cnf(c_0_285,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_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_180]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_265]),
[final] ).
cnf(c_0_287,plain,
( 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_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_197]),c_0_82]),
[final] ).
cnf(c_0_289,plain,
( product1(e_4,e_2,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_58,c_0_267]),c_0_90]),
[final] ).
cnf(c_0_290,negated_conjecture,
( product2(e_4,e_3,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_268,c_0_237]),c_0_68]),
[final] ).
cnf(c_0_291,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_269]),
[final] ).
cnf(c_0_292,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| 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_117,c_0_270]),c_0_130]),
[final] ).
cnf(c_0_293,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_271]),
[final] ).
cnf(c_0_295,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_273]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_274]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product2(e_4,e_2,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_275]),c_0_90]),
[final] ).
cnf(c_0_299,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_147]),
[final] ).
cnf(c_0_300,negated_conjecture,
( product2(e_1,e_3,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_277,c_0_105]),
[final] ).
cnf(c_0_303,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_280]),
[final] ).
cnf(c_0_304,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_281]),c_0_90]),
[final] ).
cnf(c_0_305,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_210]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product2(e_4,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,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_95,c_0_282]),c_0_90]),
[final] ).
cnf(c_0_307,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_280]),
[final] ).
cnf(c_0_308,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_3,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_268,c_0_283]),c_0_68]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product2(e_1,e_4,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)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_284,c_0_126]),
[final] ).
cnf(c_0_315,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_271]),
[final] ).
cnf(c_0_316,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_289]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_290]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_292]),c_0_68]),
[final] ).
cnf(c_0_321,negated_conjecture,
( product2(e_1,e_3,e_4)
| product1(e_3,e_4,e_1)
| 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_293,c_0_105]),
[final] ).
cnf(c_0_322,negated_conjecture,
( product1(e_3,e_2,e_1)
| 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_58,c_0_294]),c_0_168]),
[final] ).
cnf(c_0_324,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_100]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product2(e_1,e_3,e_4)
| product1(e_3,e_4,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_296,c_0_105]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_297]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_298]),c_0_168]),
[final] ).
cnf(c_0_329,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_184]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_110]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_300]),
[final] ).
cnf(c_0_334,plain,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
c_0_301,
[final] ).
cnf(c_0_335,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_191]),
[final] ).
cnf(c_0_336,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_107]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_302]),c_0_194]),
[final] ).
cnf(c_0_338,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_152]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,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)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_94]),
[final] ).
cnf(c_0_341,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_90]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| 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_243,c_0_280]),c_0_60]),
[final] ).
cnf(c_0_343,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_210]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product2(e_3,e_4,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_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_309]),c_0_130]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_311]),c_0_242]),
[final] ).
cnf(c_0_347,plain,
( 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_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_95,c_0_312]),c_0_194]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_313]),c_0_242]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_314]),c_0_130]),
[final] ).
cnf(c_0_350,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_218]),c_0_82]),
[final] ).
cnf(c_0_352,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| 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_317,c_0_280]),c_0_60]),
[final] ).
cnf(c_0_357,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_322]),
[final] ).
cnf(c_0_358,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_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_280]),c_0_82]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_323]),c_0_194]),
[final] ).
cnf(c_0_360,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,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_324,c_0_218]),c_0_82]),
[final] ).
cnf(c_0_361,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_289]),
[final] ).
cnf(c_0_364,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_327]),c_0_130]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_328]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,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_330,c_0_144]),c_0_130]),
[final] ).
cnf(c_0_368,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| 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_58,c_0_331]),c_0_130]),
[final] ).
cnf(c_0_369,plain,
( product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_138]),
[final] ).
cnf(c_0_370,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,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_324,c_0_206]),c_0_82]),
[final] ).
cnf(c_0_371,plain,
( product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_105]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product2(e_2,e_1,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_155,c_0_147]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_235]),
[final] ).
cnf(c_0_376,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
c_0_333,
[final] ).
cnf(c_0_377,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_334,c_0_51]),
[final] ).
cnf(c_0_379,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(spm,[status(thm)],[c_0_334,c_0_57]),
[final] ).
cnf(c_0_380,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_381,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_334,c_0_63]),
[final] ).
cnf(c_0_384,negated_conjecture,
( product2(e_4,X1,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_114]),
[final] ).
cnf(c_0_385,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_4,e_1,e_2)
| product2(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)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_60]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,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_117,c_0_340]),c_0_130]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product2(e_4,X1,e_3)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_131]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product1(e_4,e_1,e_1)
| 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_117,c_0_345]),c_0_130]),
[final] ).
cnf(c_0_395,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_349]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product2(e_3,X1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_350]),
[final] ).
cnf(c_0_397,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_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_351]),c_0_228]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_257]),c_0_82]),
[final] ).
cnf(c_0_401,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_117,c_0_353]),c_0_130]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| 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_95,c_0_354]),c_0_130]),
[final] ).
cnf(c_0_403,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_189]),
[final] ).
cnf(c_0_404,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_355]),c_0_194]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product2(e_2,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_3,e_1,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_201]),
[final] ).
cnf(c_0_406,negated_conjecture,
( product2(e_3,X1,e_4)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_66]),
[final] ).
cnf(c_0_407,plain,
( product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_105]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product2(e_1,e_4,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)
| product1(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_357,c_0_126]),
[final] ).
cnf(c_0_410,plain,
( 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_2)
| product2(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_358]),c_0_60]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product2(e_3,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_2,e_1,e_1)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_360]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,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_361,c_0_328]),c_0_82]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| 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_117,c_0_363]),c_0_130]),
[final] ).
cnf(c_0_416,negated_conjecture,
( product2(e_1,X1,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_188]),
[final] ).
cnf(c_0_417,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_364]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product2(e_3,e_1,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_142,c_0_133]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product2(e_1,e_4,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_365,c_0_126]),
[final] ).
cnf(c_0_420,plain,
( product2(e_1,e_3,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_95,c_0_366]),c_0_130]),
[final] ).
cnf(c_0_422,plain,
( 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_2)
| product2(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_244]),c_0_82]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product2(e_2,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_1,e_3,e_1)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_368]),
[final] ).
cnf(c_0_424,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_368]),c_0_68]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product2(e_2,X1,e_4)
| product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_87,c_0_370]),
[final] ).
cnf(c_0_426,plain,
( product1(e_1,e_4,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_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_370]),c_0_130]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_206]),
[final] ).
cnf(c_0_430,plain,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
c_0_374,
[final] ).
cnf(c_0_431,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_289]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| 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_375,c_0_122]),c_0_90]),
[final] ).
cnf(c_0_433,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X2,X3)
| ~ greater(X3,e_0)
| ~ greater(X1,X2)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_376,c_0_377]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_378]),c_0_130]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_273]),c_0_82]),
[final] ).
cnf(c_0_436,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X2,X3)
| ~ greater(X3,e_0)
| ~ greater(X1,X2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_376,c_0_379]),
[final] ).
cnf(c_0_437,plain,
( ~ cycle(X1,e_0)
| ~ cycle(X2,X3)
| ~ greater(X3,e_0)
| ~ greater(X1,X2)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_376,c_0_380]),
[final] ).
cnf(c_0_439,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,e_0)
| ~ cycle(X2,X3)
| ~ greater(X3,e_0)
| ~ greater(X1,X2)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_376,c_0_381]),
[final] ).
cnf(c_0_440,plain,
( equalish(X3,X4)
| ~ product1(X1,X2,X3)
| ~ product1(X1,X2,X4) ),
c_0_382,
[final] ).
cnf(c_0_441,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_383]),c_0_90]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product2(e_4,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)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,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_384,c_0_350]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product2(e_4,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_385]),c_0_130]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_386]),c_0_68]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_1,e_3,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_387]),c_0_90]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| 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_117,c_0_388]),c_0_90]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,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)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_389]),c_0_130]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product2(e_4,e_1,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_1,e_3,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_390,c_0_368]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product2(e_4,e_2,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_2,e_1,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_384,c_0_360]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_391]),c_0_68]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_392]),c_0_90]),
[final] ).
cnf(c_0_452,plain,
( product2(e_2,e_4,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_117,c_0_393]),c_0_90]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product2(e_4,e_2,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_394]),c_0_90]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product2(e_2,e_4,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)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_102]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| 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_396,c_0_397]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| 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_117,c_0_398]),c_0_90]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_4,e_3,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_399]),c_0_130]),
[final] ).
cnf(c_0_458,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_1,e_4,e_1)
| 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_117,c_0_400]),c_0_130]),
[final] ).
cnf(c_0_459,plain,
( 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)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_401]),c_0_68]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_402]),c_0_68]),
[final] ).
cnf(c_0_461,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_308]),c_0_168]),
[final] ).
cnf(c_0_462,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| 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_198,c_0_404]),c_0_130]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product2(e_2,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| 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(spm,[status(thm)],[c_0_405,c_0_102]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product2(e_3,e_1,e_4)
| product1(e_1,e_4,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_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_406,c_0_370]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product1(e_3,e_1,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_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_349]),c_0_68]),
[final] ).
cnf(c_0_466,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_408]),c_0_168]),
[final] ).
cnf(c_0_467,negated_conjecture,
( product2(e_3,e_4,e_1)
| 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_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_409]),c_0_130]),
[final] ).
cnf(c_0_468,plain,
( 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)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_410]),c_0_130]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product2(e_2,e_4,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_411]),c_0_90]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product2(e_3,e_4,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,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_412,c_0_413]),
[final] ).
cnf(c_0_471,negated_conjecture,
( product2(e_2,e_3,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_414]),c_0_168]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_3,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_415]),c_0_68]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,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_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_222]),c_0_168]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product2(e_1,e_4,e_2)
| product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| 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_416,c_0_126]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product2(e_2,e_4,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)
| product1(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_417,c_0_102]),
[final] ).
cnf(c_0_476,negated_conjecture,
( product2(e_3,e_4,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_2)
| product1(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_418]),c_0_68]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product2(e_3,e_4,e_1)
| 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) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_419]),c_0_130]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_413]),c_0_130]),
[final] ).
cnf(c_0_479,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_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_420]),c_0_68]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product2(e_4,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,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_95,c_0_421]),c_0_90]),
[final] ).
cnf(c_0_481,plain,
( 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)
| product2(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_422]),c_0_130]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product2(e_2,e_4,e_3)
| product1(e_1,e_3,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_423,c_0_424]),
[final] ).
cnf(c_0_483,plain,
( 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)
| product2(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_287]),c_0_130]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product2(e_2,e_3,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_425,c_0_426]),
[final] ).
cnf(c_0_485,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_201]),c_0_68]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product2(e_1,e_4,e_3)
| product1(e_4,e_3,e_1)
| 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_427,c_0_138]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product2(e_2,e_3,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_117,c_0_428]),c_0_168]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product2(e_2,e_4,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_429]),c_0_90]),
[final] ).
cnf(c_0_489,negated_conjecture,
( 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_1,e_1)
| product1(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_397]),c_0_130]),
[final] ).
cnf(c_0_490,plain,
( equalish(X1,X2)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X3,X1)
| ~ greater(X1,e_0)
| ~ next(e_0,X2)
| ~ next(X3,e_1) ),
inference(spm,[status(thm)],[c_0_430,c_0_379]),
[final] ).
cnf(c_0_491,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_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_192]),c_0_168]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_290]),c_0_168]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_432]),c_0_130]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_213]),c_0_130]),
[final] ).
cnf(c_0_495,plain,
( equalish(X1,X2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X3,X1)
| ~ greater(X1,e_0)
| ~ next(e_0,X2)
| ~ next(X3,e_2) ),
inference(spm,[status(thm)],[c_0_430,c_0_377]),
[final] ).
cnf(c_0_496,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_497,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_1)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_379]),
[final] ).
cnf(c_0_498,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_499,negated_conjecture,
( product2(e_1,e_3,e_1)
| product2(e_4,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_268,c_0_434]),c_0_68]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_4,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_246,c_0_435]),c_0_130]),
[final] ).
cnf(c_0_501,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_1)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_436,c_0_379]),
[final] ).
cnf(c_0_502,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_2)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_377]),
[final] ).
cnf(c_0_503,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_380]),
[final] ).
cnf(c_0_504,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_1)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_437,c_0_379]),
[final] ).
cnf(c_0_505,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_506,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_507,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_2)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_437,c_0_377]),
[final] ).
cnf(c_0_508,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_509,negated_conjecture,
( product2(e_2,e_1,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_119,c_0_77]),
[final] ).
cnf(c_0_510,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_511,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_436,c_0_380]),
[final] ).
cnf(c_0_512,plain,
( equalish(X1,X2)
| ~ cycle(X3,X1)
| ~ greater(X1,e_0)
| ~ next(e_0,X2)
| ~ next(X3,e_4) ),
inference(spm,[status(thm)],[c_0_430,c_0_380]),
[final] ).
cnf(c_0_513,plain,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
c_0_438,
[final] ).
cnf(c_0_514,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_515,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_3)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_439,c_0_381]),
[final] ).
cnf(c_0_516,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_517,plain,
( ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_4)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_437,c_0_380]),
[final] ).
cnf(c_0_518,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_3)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_437,c_0_381]),
[final] ).
cnf(c_0_521,plain,
( equalish(X1,X2)
| ~ product1(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_53]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,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)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_441]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,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)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_441]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,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)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_441]),
[final] ).
cnf(c_0_525,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_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_442]),
[final] ).
cnf(c_0_526,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_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_442]),
[final] ).
cnf(c_0_527,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_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_442]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(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)
| product1(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_443]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(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)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_443]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(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)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_443]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,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)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_337]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,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)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_337]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,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)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_337]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_444]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_444]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product2(e_3,e_1,e_1)
| product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_444]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,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)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_386]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,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)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_386]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product2(e_3,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)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_386]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_445]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_445]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_445]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,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)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_385]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,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)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_385]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,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)
| product1(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_385]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,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_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_446]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,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_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_446]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,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_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_446]),
[final] ).
cnf(c_0_549,negated_conjecture,
( product2(e_3,e_1,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)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_447]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product2(e_3,e_1,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)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_447]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product2(e_3,e_1,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)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_447]),
[final] ).
cnf(c_0_552,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_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_448]),
[final] ).
cnf(c_0_553,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_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_448]),
[final] ).
cnf(c_0_554,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_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_448]),
[final] ).
cnf(c_0_555,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_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_449]),
[final] ).
cnf(c_0_556,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_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_449]),
[final] ).
cnf(c_0_557,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_1)
| product1(e_2,e_1,e_2)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_449]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_450]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_450]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_450]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product2(e_3,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)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_391]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product2(e_3,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)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_391]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product2(e_3,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)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_391]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_306]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_306]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_306]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_341]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_341]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_341]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_451]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_451]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_451]),
[final] ).
cnf(c_0_573,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)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_452]),
[final] ).
cnf(c_0_574,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)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_452]),
[final] ).
cnf(c_0_575,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)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_452]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,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)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_453]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,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)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_453]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,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)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_453]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product1(e_3,e_1,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_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_454]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product1(e_3,e_1,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_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_454]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product1(e_3,e_1,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_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_454]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_455]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_455]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_455]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_456]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_456]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_456]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_339]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_339]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_4,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_339]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product2(e_4,e_1,e_1)
| 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)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_457]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product2(e_4,e_1,e_1)
| 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)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_457]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product2(e_4,e_1,e_1)
| 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)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_457]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_262]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_262]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_262]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,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)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_458]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,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)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_458]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product2(e_1,e_4,e_1)
| product2(e_3,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)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_458]),
[final] ).
cnf(c_0_600,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_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_459]),
[final] ).
cnf(c_0_601,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_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_459]),
[final] ).
cnf(c_0_602,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_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_459]),
[final] ).
cnf(c_0_603,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_401]),
[final] ).
cnf(c_0_604,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_401]),
[final] ).
cnf(c_0_605,plain,
( 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)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_401]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product2(e_1,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)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_460]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product2(e_1,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)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_460]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product2(e_1,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)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_460]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_402]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_402]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_402]),
[final] ).
cnf(c_0_612,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_461]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_461]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product2(e_4,e_1,e_1)
| product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_461]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_308]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_308]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_308]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_283]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_283]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_283]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,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_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_342]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,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_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_342]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,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_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_342]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_346]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_346]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_346]),
[final] ).
cnf(c_0_627,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)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_347]),
[final] ).
cnf(c_0_628,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)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_347]),
[final] ).
cnf(c_0_629,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)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_347]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,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)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_348]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,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)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_348]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product2(e_1,e_2,e_2)
| product2(e_1,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)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_348]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_462]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_462]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_462]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_404]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_404]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_404]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_320]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_320]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_320]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_292]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_292]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_292]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_463]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_463]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_463]),
[final] ).
cnf(c_0_648,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_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_464]),
[final] ).
cnf(c_0_649,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_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_464]),
[final] ).
cnf(c_0_650,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_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_464]),
[final] ).
cnf(c_0_651,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_465]),
[final] ).
cnf(c_0_652,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_465]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_465]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_465]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_349]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_349]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_349]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_466]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_466]),
[final] ).
cnf(c_0_660,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_466]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product2(e_4,e_1,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)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_399]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product2(e_4,e_1,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)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_399]),
[final] ).
cnf(c_0_663,negated_conjecture,
( product2(e_4,e_1,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)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_399]),
[final] ).
cnf(c_0_664,negated_conjecture,
( 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)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_467]),
[final] ).
cnf(c_0_665,negated_conjecture,
( 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)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_467]),
[final] ).
cnf(c_0_666,negated_conjecture,
( 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)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_467]),
[final] ).
cnf(c_0_667,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_468]),
[final] ).
cnf(c_0_668,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_468]),
[final] ).
cnf(c_0_669,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_468]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_469]),
[final] ).
cnf(c_0_671,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_469]),
[final] ).
cnf(c_0_672,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_469]),
[final] ).
cnf(c_0_673,negated_conjecture,
( 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)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_344]),
[final] ).
cnf(c_0_674,negated_conjecture,
( 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)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_344]),
[final] ).
cnf(c_0_675,negated_conjecture,
( 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)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_344]),
[final] ).
cnf(c_0_676,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_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_470]),
[final] ).
cnf(c_0_677,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_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_470]),
[final] ).
cnf(c_0_678,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_2,e_1,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_470]),
[final] ).
cnf(c_0_679,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_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_409]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_471]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_471]),
[final] ).
cnf(c_0_682,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_471]),
[final] ).
cnf(c_0_683,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_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_409]),
[final] ).
cnf(c_0_684,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_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_409]),
[final] ).
cnf(c_0_685,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_410]),
[final] ).
cnf(c_0_686,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_410]),
[final] ).
cnf(c_0_687,plain,
( 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)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_410]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_352]),
[final] ).
cnf(c_0_689,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_352]),
[final] ).
cnf(c_0_690,negated_conjecture,
( product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_352]),
[final] ).
cnf(c_0_691,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_359]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_359]),
[final] ).
cnf(c_0_693,negated_conjecture,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_359]),
[final] ).
cnf(c_0_694,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_472]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_472]),
[final] ).
cnf(c_0_696,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_472]),
[final] ).
cnf(c_0_697,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_415]),
[final] ).
cnf(c_0_698,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_415]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_415]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_304]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_304]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_304]),
[final] ).
cnf(c_0_703,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_350]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_350]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_350]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product2(e_4,e_1,e_1)
| 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)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_473]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product2(e_4,e_1,e_1)
| 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)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_473]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product2(e_4,e_1,e_1)
| 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)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_473]),
[final] ).
cnf(c_0_709,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_474]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_474]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_474]),
[final] ).
cnf(c_0_712,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_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_475]),
[final] ).
cnf(c_0_713,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_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_475]),
[final] ).
cnf(c_0_714,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_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_475]),
[final] ).
cnf(c_0_715,negated_conjecture,
( 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_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_309]),
[final] ).
cnf(c_0_716,negated_conjecture,
( 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_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_309]),
[final] ).
cnf(c_0_717,negated_conjecture,
( 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_2,e_2)
| product1(e_4,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_309]),
[final] ).
cnf(c_0_718,negated_conjecture,
( 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)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_476]),
[final] ).
cnf(c_0_719,negated_conjecture,
( 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)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_476]),
[final] ).
cnf(c_0_720,negated_conjecture,
( 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)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_476]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_220]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_220]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_220]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_199]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_199]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_199]),
[final] ).
cnf(c_0_727,negated_conjecture,
( 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)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_477]),
[final] ).
cnf(c_0_728,negated_conjecture,
( 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)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_477]),
[final] ).
cnf(c_0_729,negated_conjecture,
( 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)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_477]),
[final] ).
cnf(c_0_730,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)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_419]),
[final] ).
cnf(c_0_731,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)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_419]),
[final] ).
cnf(c_0_732,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)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_419]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_478]),
[final] ).
cnf(c_0_734,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_413]),
[final] ).
cnf(c_0_735,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_478]),
[final] ).
cnf(c_0_736,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_478]),
[final] ).
cnf(c_0_737,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| product1(e_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_478]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_413]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_413]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_413]),
[final] ).
cnf(c_0_741,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_328]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_328]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_328]),
[final] ).
cnf(c_0_744,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_322]),
[final] ).
cnf(c_0_745,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_322]),
[final] ).
cnf(c_0_746,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_322]),
[final] ).
cnf(c_0_747,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_479]),
[final] ).
cnf(c_0_748,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_479]),
[final] ).
cnf(c_0_749,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_479]),
[final] ).
cnf(c_0_750,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)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_420]),
[final] ).
cnf(c_0_751,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)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_420]),
[final] ).
cnf(c_0_752,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)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_420]),
[final] ).
cnf(c_0_753,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_480]),
[final] ).
cnf(c_0_754,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_480]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_480]),
[final] ).
cnf(c_0_756,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_481]),
[final] ).
cnf(c_0_757,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_481]),
[final] ).
cnf(c_0_758,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_481]),
[final] ).
cnf(c_0_759,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_422]),
[final] ).
cnf(c_0_760,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_422]),
[final] ).
cnf(c_0_761,plain,
( 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)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_422]),
[final] ).
cnf(c_0_762,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_244]),
[final] ).
cnf(c_0_763,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_244]),
[final] ).
cnf(c_0_764,plain,
( product2(e_1,e_3,e_1)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_244]),
[final] ).
cnf(c_0_765,plain,
( 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)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_358]),
[final] ).
cnf(c_0_766,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_358]),
[final] ).
cnf(c_0_767,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_358]),
[final] ).
cnf(c_0_768,plain,
( product2(e_2,e_1,e_1)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_280]),
[final] ).
cnf(c_0_769,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_279]),
[final] ).
cnf(c_0_770,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_279]),
[final] ).
cnf(c_0_771,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_279]),
[final] ).
cnf(c_0_772,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)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_258]),
[final] ).
cnf(c_0_773,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)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_258]),
[final] ).
cnf(c_0_774,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)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_258]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_424]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_482]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_482]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_482]),
[final] ).
cnf(c_0_779,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_483]),
[final] ).
cnf(c_0_780,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_483]),
[final] ).
cnf(c_0_781,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_483]),
[final] ).
cnf(c_0_782,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_287]),
[final] ).
cnf(c_0_783,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_287]),
[final] ).
cnf(c_0_784,plain,
( 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)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_287]),
[final] ).
cnf(c_0_785,plain,
( 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)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_269]),
[final] ).
cnf(c_0_786,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_269]),
[final] ).
cnf(c_0_787,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_197]),
[final] ).
cnf(c_0_788,plain,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_197]),
[final] ).
cnf(c_0_789,plain,
( 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)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_231]),
[final] ).
cnf(c_0_790,plain,
( 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)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_231]),
[final] ).
cnf(c_0_791,plain,
( 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)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_231]),
[final] ).
cnf(c_0_792,plain,
( product2(e_3,e_1,e_1)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_210]),
[final] ).
cnf(c_0_793,negated_conjecture,
( product2(e_1,X1,e_4)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_426]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_484]),
[final] ).
cnf(c_0_795,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_484]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_484]),
[final] ).
cnf(c_0_797,negated_conjecture,
( product2(e_1,X1,e_4)
| 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)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_485]),
[final] ).
cnf(c_0_798,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_424]),
[final] ).
cnf(c_0_799,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_424]),
[final] ).
cnf(c_0_800,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_424]),
[final] ).
cnf(c_0_801,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_368]),
[final] ).
cnf(c_0_802,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_368]),
[final] ).
cnf(c_0_803,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_368]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_265]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_265]),
[final] ).
cnf(c_0_806,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_426]),
[final] ).
cnf(c_0_807,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_426]),
[final] ).
cnf(c_0_808,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_426]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_486]),
[final] ).
cnf(c_0_810,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_486]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_486]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_247]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_247]),
[final] ).
cnf(c_0_814,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_247]),
[final] ).
cnf(c_0_815,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_370]),
[final] ).
cnf(c_0_816,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_370]),
[final] ).
cnf(c_0_817,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_370]),
[final] ).
cnf(c_0_818,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_260]),
[final] ).
cnf(c_0_819,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_260]),
[final] ).
cnf(c_0_820,negated_conjecture,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_4,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_260]),
[final] ).
cnf(c_0_821,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_360]),
[final] ).
cnf(c_0_822,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_360]),
[final] ).
cnf(c_0_823,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_360]),
[final] ).
cnf(c_0_824,plain,
( 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)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_485]),
[final] ).
cnf(c_0_825,plain,
( 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)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_485]),
[final] ).
cnf(c_0_826,plain,
( 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)
| equalish(X1,e_4)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_485]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_222]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_222]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_321]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_321]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_321]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_227]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_227]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_227]),
[final] ).
cnf(c_0_835,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_206]),
[final] ).
cnf(c_0_836,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_206]),
[final] ).
cnf(c_0_837,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_206]),
[final] ).
cnf(c_0_838,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_218]),
[final] ).
cnf(c_0_839,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_218]),
[final] ).
cnf(c_0_840,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_218]),
[final] ).
cnf(c_0_841,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_201]),
[final] ).
cnf(c_0_842,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_201]),
[final] ).
cnf(c_0_843,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_201]),
[final] ).
cnf(c_0_844,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_271]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_271]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_208]),
[final] ).
cnf(c_0_847,negated_conjecture,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_208]),
[final] ).
cnf(c_0_848,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_188]),
[final] ).
cnf(c_0_849,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_188]),
[final] ).
cnf(c_0_850,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_188]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_364]),
[final] ).
cnf(c_0_852,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_364]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product1(e_3,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_364]),
[final] ).
cnf(c_0_854,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_264]),
[final] ).
cnf(c_0_855,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_264]),
[final] ).
cnf(c_0_856,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_2)
| ~ product1(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_264]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_487]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_487]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_487]),
[final] ).
cnf(c_0_860,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)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_418]),
[final] ).
cnf(c_0_861,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)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_418]),
[final] ).
cnf(c_0_862,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)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_418]),
[final] ).
cnf(c_0_863,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)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_257]),
[final] ).
cnf(c_0_864,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)
| equalish(X1,e_2)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_488]),
[final] ).
cnf(c_0_865,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)
| equalish(X1,e_4)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_488]),
[final] ).
cnf(c_0_866,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)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_488]),
[final] ).
cnf(c_0_867,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)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_257]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_489]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product2(e_2,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_1,e_1)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_397]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_489]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_489]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_489]),
[final] ).
cnf(c_0_873,negated_conjecture,
( 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_1,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_397]),
[final] ).
cnf(c_0_874,negated_conjecture,
( 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_1,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_397]),
[final] ).
cnf(c_0_875,negated_conjecture,
( 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_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_397]),
[final] ).
cnf(c_0_876,plain,
( equalish(e_0,X1)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_490,c_0_379]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product2(e_1,X1,e_3)
| product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_248]),
[final] ).
cnf(c_0_878,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_4,e_1,e_1)
| equalish(X1,e_3)
| ~ product2(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_180]),
[final] ).
cnf(c_0_879,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_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_180]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product2(e_2,X1,e_1)
| product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_87,c_0_491]),
[final] ).
cnf(c_0_881,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_248]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| equalish(X1,e_3)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_248]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_492]),
[final] ).
cnf(c_0_884,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_492]),
[final] ).
cnf(c_0_885,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_492]),
[final] ).
cnf(c_0_886,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_4,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_145]),
[final] ).
cnf(c_0_887,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_4,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_145]),
[final] ).
cnf(c_0_888,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_4,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_145]),
[final] ).
cnf(c_0_889,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_436,c_0_377]),
[final] ).
cnf(c_0_890,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_290]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_290]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_237]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_237]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_237]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_195]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_195]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_195]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_493]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_493]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_493]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_494]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_494]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_494]),
[final] ).
cnf(c_0_904,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_213]),
[final] ).
cnf(c_0_905,plain,
( equalish(e_0,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_379]),c_0_496])]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_213]),
[final] ).
cnf(c_0_907,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_3,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_325]),
[final] ).
cnf(c_0_908,plain,
( equalish(e_0,X1)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_2)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_495,c_0_377]),
[final] ).
cnf(c_0_909,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_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_325]),
[final] ).
cnf(c_0_910,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_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_325]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product2(e_4,X1,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_87,c_0_116]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_367]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_367]),
[final] ).
cnf(c_0_914,negated_conjecture,
( product2(e_1,e_2,e_1)
| product2(e_1,e_2,e_2)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_367]),
[final] ).
cnf(c_0_915,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_144]),
[final] ).
cnf(c_0_916,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_144]),
[final] ).
cnf(c_0_917,plain,
( product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_144]),
[final] ).
cnf(c_0_918,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_184]),
[final] ).
cnf(c_0_919,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_379]),c_0_496])]),
[final] ).
cnf(c_0_920,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_377]),c_0_498])]),
[final] ).
cnf(c_0_921,plain,
( product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_184]),
[final] ).
cnf(c_0_922,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_216]),
[final] ).
cnf(c_0_923,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_216]),
[final] ).
cnf(c_0_924,plain,
( product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_216]),
[final] ).
cnf(c_0_925,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_499]),
[final] ).
cnf(c_0_926,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_499]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_499]),
[final] ).
cnf(c_0_928,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_434]),
[final] ).
cnf(c_0_929,plain,
( product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_165]),
[final] ).
cnf(c_0_930,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_434]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product2(e_1,e_3,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_434]),
[final] ).
cnf(c_0_932,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_125]),
[final] ).
cnf(c_0_933,plain,
( product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_125]),
[final] ).
cnf(c_0_934,plain,
( product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_127]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_432]),
[final] ).
cnf(c_0_936,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_432]),
[final] ).
cnf(c_0_937,negated_conjecture,
( product2(e_1,e_4,e_1)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_432]),
[final] ).
cnf(c_0_938,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_4)
| ~ product1(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_133]),
[final] ).
cnf(c_0_939,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_133]),
[final] ).
cnf(c_0_940,plain,
( product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| equalish(X1,e_2)
| ~ product1(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_133]),
[final] ).
cnf(c_0_941,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_147]),
[final] ).
cnf(c_0_942,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_147]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_174]),
[final] ).
cnf(c_0_944,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_174]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_174]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_158]),
[final] ).
cnf(c_0_947,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_161]),
[final] ).
cnf(c_0_948,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_161]),
[final] ).
cnf(c_0_949,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_158]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product2(e_3,e_1,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_158]),
[final] ).
cnf(c_0_951,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_161]),
[final] ).
cnf(c_0_952,plain,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_131]),
[final] ).
cnf(c_0_953,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_500]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_500]),
[final] ).
cnf(c_0_955,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_500]),
[final] ).
cnf(c_0_956,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_435]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_103,c_0_435]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product2(e_4,e_1,e_1)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_435]),
[final] ).
cnf(c_0_959,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_273]),
[final] ).
cnf(c_0_960,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_273]),
[final] ).
cnf(c_0_961,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product2(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_103,c_0_297]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_297]),
[final] ).
cnf(c_0_963,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_114]),
[final] ).
cnf(c_0_964,plain,
( product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| equalish(X1,e_1)
| ~ product1(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_114]),
[final] ).
cnf(c_0_965,plain,
( product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| equalish(X1,e_4)
| ~ product1(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_116]),
[final] ).
cnf(c_0_966,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_274]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_274]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_274]),
[final] ).
cnf(c_0_969,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_377]),c_0_498])]),
[final] ).
cnf(c_0_970,plain,
( product2(X1,e_1,e_4)
| product2(X1,e_1,e_3)
| product2(X1,e_1,e_2)
| product2(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_57]),
[final] ).
cnf(c_0_971,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)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_373]),
[final] ).
cnf(c_0_972,plain,
( product2(X1,e_2,e_4)
| product2(X1,e_2,e_3)
| product2(X1,e_2,e_2)
| product2(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_51]),
[final] ).
cnf(c_0_973,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_156]),
[final] ).
cnf(c_0_974,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product2(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_122]),
[final] ).
cnf(c_0_975,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_122]),
[final] ).
cnf(c_0_976,plain,
( product2(e_1,e_4,e_1)
| product2(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_122]),
[final] ).
cnf(c_0_977,plain,
( product2(X1,e_3,e_4)
| product2(X1,e_3,e_3)
| product2(X1,e_3,e_2)
| product2(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_63]),
[final] ).
cnf(c_0_978,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)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_373]),
[final] ).
cnf(c_0_979,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)
| equalish(X1,e_3)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_373]),
[final] ).
cnf(c_0_980,plain,
( product2(e_2,e_4,e_1)
| product2(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product2(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_107]),
[final] ).
cnf(c_0_981,plain,
( product2(X1,e_4,e_4)
| product2(X1,e_4,e_3)
| product2(X1,e_4,e_2)
| product2(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_55]),
[final] ).
cnf(c_0_982,plain,
( product2(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_140]),
[final] ).
cnf(c_0_983,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_189]),
[final] ).
cnf(c_0_984,plain,
( product2(e_4,e_1,e_1)
| product2(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_152]),
[final] ).
cnf(c_0_985,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_379]),c_0_496])]),
[final] ).
cnf(c_0_986,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_379]),c_0_496])]),
[final] ).
cnf(c_0_987,plain,
( product2(e_4,e_2,e_1)
| product2(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product2(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_135]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_2)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_491]),
[final] ).
cnf(c_0_989,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_52,c_0_491]),
[final] ).
cnf(c_0_990,negated_conjecture,
( product1(e_4,e_1,e_1)
| product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_491]),
[final] ).
cnf(c_0_991,plain,
( product2(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product2(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_225]),
[final] ).
cnf(c_0_992,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_377]),c_0_498])]),
[final] ).
cnf(c_0_993,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_381]),c_0_505]),c_0_506])]),
[final] ).
cnf(c_0_994,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_381]),c_0_508]),c_0_506])]),
[final] ).
cnf(c_0_995,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_235]),
[final] ).
cnf(c_0_996,plain,
( product1(X1,e_1,e_4)
| product1(X1,e_1,e_3)
| product1(X1,e_1,e_2)
| product1(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_57]),
[final] ).
cnf(c_0_997,plain,
( product1(X1,e_2,e_4)
| product1(X1,e_2,e_3)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_998,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_3)
| ~ product2(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_300]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_3,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_300]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_2)
| ~ product2(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_509]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_1)
| ~ product2(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_103,c_0_509]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( product1(e_3,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| equalish(X1,e_4)
| ~ product2(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_509]),
[final] ).
cnf(c_0_1003,plain,
( product1(X1,e_3,e_4)
| product1(X1,e_3,e_3)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]),
[final] ).
cnf(c_0_1004,plain,
( product1(X1,e_4,e_4)
| product1(X1,e_4,e_3)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_55]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_1)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_192]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(X1,e_4)
| ~ product1(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_192]),
[final] ).
cnf(c_0_1007,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_1)
| ~ next(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_501,c_0_379]),
[final] ).
cnf(c_0_1008,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_380]),c_0_510])]),
[final] ).
cnf(c_0_1009,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4)
| ~ next(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_379]),
[final] ).
cnf(c_0_1010,plain,
( equalish(e_0,X1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_512,c_0_379]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product2(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_110]),
[final] ).
cnf(c_0_1012,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_100]),
[final] ).
cnf(c_0_1013,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_2)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_100]),
[final] ).
cnf(c_0_1014,plain,
( equalish(X1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_513,c_0_379]),
[final] ).
cnf(c_0_1015,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_77]),
[final] ).
cnf(c_0_1016,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_77]),
[final] ).
cnf(c_0_1017,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_77]),
[final] ).
cnf(c_0_1018,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_2)
| ~ next(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_502,c_0_377]),
[final] ).
cnf(c_0_1019,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_380]),c_0_514])]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_1)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_154]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_52,c_0_154]),
[final] ).
cnf(c_0_1022,plain,
( equalish(e_0,X1)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_4)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_512,c_0_377]),
[final] ).
cnf(c_0_1023,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_4)
| ~ next(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_503,c_0_377]),
[final] ).
cnf(c_0_1024,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_3)
| ~ product1(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_66]),
[final] ).
cnf(c_0_1025,plain,
( product1(e_2,e_4,e_1)
| product1(e_2,e_4,e_2)
| equalish(X1,e_4)
| ~ product1(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_66]),
[final] ).
cnf(c_0_1026,plain,
( equalish(X1,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_513,c_0_377]),
[final] ).
cnf(c_0_1027,plain,
( product1(e_3,e_4,e_1)
| equalish(X1,e_2)
| ~ product1(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_105]),
[final] ).
cnf(c_0_1028,plain,
( equalish(e_0,X1)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_381]),c_0_506])]),
[final] ).
cnf(c_0_1029,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_289]),
[final] ).
cnf(c_0_1030,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_380]),c_0_516])]),
[final] ).
cnf(c_0_1031,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_102]),
[final] ).
cnf(c_0_1032,plain,
( equalish(X1,X2)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X3,X1)
| ~ greater(X1,e_0)
| ~ next(e_0,X2)
| ~ next(X3,e_3) ),
inference(spm,[status(thm)],[c_0_430,c_0_381]),
[final] ).
cnf(c_0_1033,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_102]),
[final] ).
cnf(c_0_1034,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| equalish(X1,e_1)
| ~ product1(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_102]),
[final] ).
cnf(c_0_1035,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ cycle(X1,e_0)
| ~ greater(e_0,e_0)
| ~ greater(X1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_439,c_0_380]),
[final] ).
cnf(c_0_1036,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_1)
| ~ next(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_504,c_0_379]),
[final] ).
cnf(c_0_1037,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_380]),c_0_510])]),
[final] ).
cnf(c_0_1038,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| equalish(X1,e_3)
| ~ product1(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_126]),
[final] ).
cnf(c_0_1039,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| equalish(X1,e_4)
| ~ product1(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_52,c_0_126]),
[final] ).
cnf(c_0_1040,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_2)
| ~ next(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_507,c_0_377]),
[final] ).
cnf(c_0_1041,plain,
( product1(e_4,e_3,e_1)
| equalish(X1,e_2)
| ~ product1(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_440,c_0_138]),
[final] ).
cnf(c_0_1042,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_380]),c_0_514])]),
[final] ).
cnf(c_0_1043,plain,
( cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4)
| ~ next(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_517,c_0_379]),
[final] ).
cnf(c_0_1044,plain,
( cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_4)
| ~ next(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_517,c_0_377]),
[final] ).
cnf(c_0_1045,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_381]),c_0_506])]),
[final] ).
cnf(c_0_1046,plain,
( equalish(X1,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_513,c_0_381]),
[final] ).
cnf(c_0_1047,plain,
( equalish(e_0,X1)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4)
| ~ next(e_0,X1) ),
inference(spm,[status(thm)],[c_0_512,c_0_380]),
[final] ).
cnf(c_0_1048,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_380]),c_0_516])]),
[final] ).
cnf(c_0_1049,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_381]),c_0_506])]),
[final] ).
cnf(c_0_1050,plain,
( ~ greater(e_0,e_0)
| ~ greater(e_4,e_4)
| ~ next(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_517,c_0_380]),
[final] ).
cnf(c_0_1051,plain,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
c_0_519,
[final] ).
cnf(c_0_1052,plain,
( equalish(X1,e_0)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_513,c_0_380]),
[final] ).
cnf(c_0_1053,plain,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
c_0_520,
[final] ).
cnf(c_0_1054,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_521,c_0_53]),
[final] ).
cnf(c_0_1055,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_1056,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_1057,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_1058,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_1059,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_1060,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP123-8.004 : TPTP v8.2.0. Released v1.2.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun May 19 05:31:08 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 3.24/0.79 # Version: 3.1.0
% 3.24/0.79 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.24/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.24/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.24/0.79 # Starting new_bool_3 with 300s (1) cores
% 3.24/0.79 # Starting new_bool_1 with 300s (1) cores
% 3.24/0.79 # Starting sh5l with 300s (1) cores
% 3.24/0.79 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15460 completed with status 1
% 3.24/0.79 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.24/0.79 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.24/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.24/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.24/0.79 # No SInE strategy applied
% 3.24/0.79 # Search class: FGHNS-FFMM00-SFFFFFNN
% 3.24/0.79 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.24/0.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 3.24/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.24/0.79 # Starting new_bool_3 with 136s (1) cores
% 3.24/0.79 # Starting new_bool_1 with 136s (1) cores
% 3.24/0.79 # Starting sh5l with 136s (1) cores
% 3.24/0.79 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 15464 completed with status 1
% 3.24/0.79 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 3.24/0.79 # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.24/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.24/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.24/0.79 # No SInE strategy applied
% 3.24/0.79 # Search class: FGHNS-FFMM00-SFFFFFNN
% 3.24/0.79 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.24/0.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 3.24/0.79 # Preprocessing time : 0.001 s
% 3.24/0.79 # Presaturation interreduction done
% 3.24/0.79
% 3.24/0.79 # No proof found!
% 3.24/0.79 # SZS status Satisfiable
% 3.24/0.79 # SZS output start Saturation
% See solution above
% 3.24/0.80 # Parsed axioms : 48
% 3.24/0.80 # Removed by relevancy pruning/SinE : 0
% 3.24/0.80 # Initial clauses : 48
% 3.24/0.80 # Removed in clause preprocessing : 0
% 3.24/0.80 # Initial clauses in saturation : 48
% 3.24/0.80 # Processed clauses : 3557
% 3.24/0.80 # ...of these trivial : 0
% 3.24/0.80 # ...subsumed : 2476
% 3.24/0.80 # ...remaining for further processing : 1081
% 3.24/0.80 # Other redundant clauses eliminated : 0
% 3.24/0.80 # Clauses deleted for lack of memory : 0
% 3.24/0.80 # Backward-subsumed : 146
% 3.24/0.80 # Backward-rewritten : 1
% 3.24/0.80 # Generated clauses : 9528
% 3.24/0.80 # ...of the previous two non-redundant : 4947
% 3.24/0.80 # ...aggressively subsumed : 0
% 3.24/0.80 # Contextual simplify-reflections : 2
% 3.24/0.80 # Paramodulations : 9528
% 3.24/0.80 # Factorizations : 0
% 3.24/0.80 # NegExts : 0
% 3.24/0.80 # Equation resolutions : 0
% 3.24/0.80 # Disequality decompositions : 0
% 3.24/0.80 # Total rewrite steps : 4611
% 3.24/0.80 # ...of those cached : 4586
% 3.24/0.80 # Propositional unsat checks : 0
% 3.24/0.80 # Propositional check models : 0
% 3.24/0.80 # Propositional check unsatisfiable : 0
% 3.24/0.80 # Propositional clauses : 0
% 3.24/0.80 # Propositional clauses after purity: 0
% 3.24/0.80 # Propositional unsat core size : 0
% 3.24/0.80 # Propositional preprocessing time : 0.000
% 3.24/0.80 # Propositional encoding time : 0.000
% 3.24/0.80 # Propositional solver time : 0.000
% 3.24/0.80 # Success case prop preproc time : 0.000
% 3.24/0.80 # Success case prop encoding time : 0.000
% 3.24/0.80 # Success case prop solver time : 0.000
% 3.24/0.80 # Current number of processed clauses : 886
% 3.24/0.80 # Positive orientable unit clauses : 22
% 3.24/0.80 # Positive unorientable unit clauses: 0
% 3.24/0.80 # Negative unit clauses : 12
% 3.24/0.80 # Non-unit-clauses : 852
% 3.24/0.80 # Current number of unprocessed clauses: 0
% 3.24/0.80 # ...number of literals in the above : 0
% 3.24/0.80 # Current number of archived formulas : 0
% 3.24/0.80 # Current number of archived clauses : 195
% 3.24/0.80 # Clause-clause subsumption calls (NU) : 410872
% 3.24/0.80 # Rec. Clause-clause subsumption calls : 9000
% 3.24/0.80 # Non-unit clause-clause subsumptions : 2624
% 3.24/0.80 # Unit Clause-clause subsumption calls : 149
% 3.24/0.80 # Rewrite failures with RHS unbound : 0
% 3.24/0.80 # BW rewrite match attempts : 15
% 3.24/0.80 # BW rewrite match successes : 1
% 3.24/0.80 # Condensation attempts : 0
% 3.24/0.80 # Condensation successes : 0
% 3.24/0.80 # Termbank termtop insertions : 254945
% 3.24/0.80 # Search garbage collected termcells : 114
% 3.24/0.80
% 3.24/0.80 # -------------------------------------------------
% 3.24/0.80 # User time : 0.391 s
% 3.24/0.80 # System time : 0.005 s
% 3.24/0.80 # Total time : 0.395 s
% 3.24/0.80 # Maximum resident set size: 2052 pages
% 3.24/0.80
% 3.24/0.80 # -------------------------------------------------
% 3.24/0.80 # User time : 1.892 s
% 3.24/0.80 # System time : 0.008 s
% 3.24/0.80 # Total time : 1.901 s
% 3.24/0.80 # Maximum resident set size: 2016 pages
% 3.24/0.80 % E---3.1 exiting
% 3.24/0.80 % E exiting
%------------------------------------------------------------------------------