TSTP Solution File: GRP125-4.004 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP125-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:45:34 EDT 2023
% Result : Satisfiable 4.15s 0.97s
% Output : Saturation 4.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_26,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_27,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_28,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_29,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_30,plain,
( product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_31,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_32,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_34,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_35,axiom,
( product(X1,e_1,X2)
| product(X1,e_2,X2)
| product(X1,e_3,X2)
| product(X1,e_4,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
column_surjectivity,
[final] ).
cnf(c_0_36,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_38,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_39,plain,
( product(X1,e_4,e_4)
| product(X1,e_3,e_4)
| product(X1,e_2,e_4)
| product(X1,e_1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[final] ).
cnf(c_0_40,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_41,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_43,plain,
( product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]),
[final] ).
cnf(c_0_44,axiom,
( product(e_1,X1,X2)
| product(e_2,X1,X2)
| product(e_3,X1,X2)
| product(e_4,X1,X2)
| ~ group_element(X1)
| ~ group_element(X2) ),
row_surjectivity,
[final] ).
cnf(c_0_45,plain,
( equalish(X1,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_29]),
[final] ).
cnf(c_0_47,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_48,plain,
( equalish(X1,X2)
| ~ product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_29]),
[final] ).
cnf(c_0_50,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_51,plain,
( product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_36]),
[final] ).
cnf(c_0_53,plain,
( product(e_4,X1,e_4)
| product(e_3,X1,e_4)
| product(e_2,X1,e_4)
| product(e_1,X1,e_4)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]),
[final] ).
cnf(c_0_55,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_56,plain,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),
[final] ).
cnf(c_0_60,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_54]),c_0_55]),
[final] ).
cnf(c_0_61,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_62,plain,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_56]),
[final] ).
cnf(c_0_63,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_65,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X3,X2)
| ~ product(X2,X1,X4) ),
qg3_2,
[final] ).
cnf(c_0_66,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_58]),c_0_55]),
[final] ).
cnf(c_0_68,plain,
( equalish(X1,e_4)
| product(e_1,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_60]),
[final] ).
cnf(c_0_70,plain,
( product(X1,e_4,e_3)
| product(X1,e_3,e_3)
| product(X1,e_2,e_3)
| product(X1,e_1,e_3)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_27]),
[final] ).
cnf(c_0_71,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_73,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_64]),c_0_55]),
[final] ).
cnf(c_0_74,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]),
[final] ).
cnf(c_0_75,plain,
( product(e_2,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_67]),c_0_55]),
[final] ).
cnf(c_0_76,plain,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_68]),c_0_69]),
[final] ).
cnf(c_0_78,plain,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_68]),c_0_72]),
[final] ).
cnf(c_0_79,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_80,plain,
( equalish(X1,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_73]),
[final] ).
cnf(c_0_81,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),
[final] ).
cnf(c_0_83,plain,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]),
[final] ).
cnf(c_0_84,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_86,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_81]),
[final] ).
cnf(c_0_87,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_82]),c_0_34]),
[final] ).
cnf(c_0_88,plain,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_83]),
[final] ).
cnf(c_0_90,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_92,plain,
( product(X1,e_4,e_1)
| product(X1,e_3,e_1)
| product(X1,e_2,e_1)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_31]),
[final] ).
cnf(c_0_93,plain,
( product(e_4,X1,e_1)
| product(e_3,X1,e_1)
| product(e_2,X1,e_1)
| product(e_1,X1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]),
[final] ).
cnf(c_0_94,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_87]),
[final] ).
cnf(c_0_96,plain,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_89]),c_0_50]),
[final] ).
cnf(c_0_101,plain,
~ product(e_1,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_94]),c_0_95]),
[final] ).
cnf(c_0_102,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_103,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_96]),
[final] ).
cnf(c_0_105,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_79,c_0_98]),
[final] ).
cnf(c_0_108,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]),
[final] ).
cnf(c_0_109,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_104,c_0_105]),
[final] ).
cnf(c_0_110,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_106]),c_0_55]),
[final] ).
cnf(c_0_111,plain,
( product(e_4,X1,e_2)
| product(e_3,X1,e_2)
| product(e_2,X1,e_2)
| product(e_1,X1,e_2)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_90]),
[final] ).
cnf(c_0_112,plain,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_107]),c_0_55]),
[final] ).
cnf(c_0_113,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
qg3,
[final] ).
cnf(c_0_114,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_108,c_0_60]),
[final] ).
cnf(c_0_115,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_109]),
[final] ).
cnf(c_0_116,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_110]),
[final] ).
cnf(c_0_118,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_112]),
[final] ).
cnf(c_0_119,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]),
[final] ).
cnf(c_0_120,plain,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_115]),
[final] ).
cnf(c_0_121,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X3,X4,X1)
| ~ product(X2,X1,X4) ),
qg3_1,
[final] ).
cnf(c_0_122,plain,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_116]),
[final] ).
cnf(c_0_124,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_126,plain,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_118]),
[final] ).
cnf(c_0_127,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]),
[final] ).
cnf(c_0_129,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]),
[final] ).
cnf(c_0_130,plain,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_123]),c_0_84]),
[final] ).
cnf(c_0_131,plain,
~ product(e_1,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_94]),c_0_125]),
[final] ).
cnf(c_0_132,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]),
[final] ).
cnf(c_0_134,plain,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_66]),
[final] ).
cnf(c_0_135,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]),
[final] ).
cnf(c_0_136,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_132]),
[final] ).
cnf(c_0_138,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_73]),
[final] ).
cnf(c_0_140,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_129,c_0_135]),
[final] ).
cnf(c_0_141,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_136,c_0_96]),
[final] ).
cnf(c_0_144,negated_conjecture,
( product(X1,X2,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_29]),
[final] ).
cnf(c_0_145,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_140]),
[final] ).
cnf(c_0_147,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_141]),
[final] ).
cnf(c_0_150,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_145,c_0_135]),
[final] ).
cnf(c_0_153,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_147]),c_0_148]),
[final] ).
cnf(c_0_155,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_150]),
[final] ).
cnf(c_0_157,plain,
( equalish(X1,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_83]),
[final] ).
cnf(c_0_158,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_94]),
[final] ).
cnf(c_0_159,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_152,c_0_153]),
[final] ).
cnf(c_0_161,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_81]),c_0_131]),
[final] ).
cnf(c_0_162,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_155]),
[final] ).
cnf(c_0_165,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]),
[final] ).
cnf(c_0_166,plain,
( equalish(X1,e_1)
| product(e_1,e_4,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_73]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_161]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_162,c_0_87]),
[final] ).
cnf(c_0_174,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_66]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]),
[final] ).
cnf(c_0_178,plain,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_170]),c_0_144]),
[final] ).
cnf(c_0_180,negated_conjecture,
( product(X1,X2,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_29]),
[final] ).
cnf(c_0_184,negated_conjecture,
( product(X1,X2,X1)
| ~ product(X2,X1,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_29]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_174,c_0_159]),
[final] ).
cnf(c_0_187,plain,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_175]),c_0_144]),
[final] ).
cnf(c_0_190,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_176]),
[final] ).
cnf(c_0_191,plain,
( equalish(X1,e_4)
| product(e_4,e_1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]),
[final] ).
cnf(c_0_192,plain,
( equalish(X1,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_56]),
[final] ).
cnf(c_0_194,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_179]),c_0_180]),
[final] ).
cnf(c_0_196,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_188]),
[final] ).
cnf(c_0_199,plain,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_79,c_0_191]),
[final] ).
cnf(c_0_200,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_192]),
[final] ).
cnf(c_0_201,plain,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_193,c_0_194]),
[final] ).
cnf(c_0_202,plain,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_68]),
[final] ).
cnf(c_0_203,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_195,c_0_196]),
[final] ).
cnf(c_0_205,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_186]),c_0_131]),c_0_198]),
[final] ).
cnf(c_0_206,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_199]),
[final] ).
cnf(c_0_207,plain,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]),
[final] ).
cnf(c_0_208,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]),
[final] ).
cnf(c_0_209,plain,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_204,c_0_205]),
[final] ).
cnf(c_0_210,plain,
( equalish(X1,e_4)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_83]),
[final] ).
cnf(c_0_211,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_206]),
[final] ).
cnf(c_0_212,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]),
[final] ).
cnf(c_0_213,plain,
( product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_90]),
[final] ).
cnf(c_0_214,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_209]),c_0_78]),c_0_196]),
[final] ).
cnf(c_0_216,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_202,c_0_214]),
[final] ).
cnf(c_0_221,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_216]),
[final] ).
cnf(c_0_222,plain,
( equalish(X1,e_1)
| ~ product(e_1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_56]),
[final] ).
cnf(c_0_224,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]),
[final] ).
cnf(c_0_225,plain,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_166]),
[final] ).
cnf(c_0_226,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_221]),
[final] ).
cnf(c_0_228,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_132]),
[final] ).
cnf(c_0_229,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_222]),
[final] ).
cnf(c_0_230,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_223,c_0_224]),
[final] ).
cnf(c_0_231,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_225]),
[final] ).
cnf(c_0_233,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]),
[final] ).
cnf(c_0_235,plain,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]),
[final] ).
cnf(c_0_236,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_110]),
[final] ).
cnf(c_0_237,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_231]),
[final] ).
cnf(c_0_240,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_146]),c_0_234]),
[final] ).
cnf(c_0_241,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_96]),
[final] ).
cnf(c_0_242,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_235]),
[final] ).
cnf(c_0_243,plain,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_236]),
[final] ).
cnf(c_0_244,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_237,c_0_203]),
[final] ).
cnf(c_0_247,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_239,c_0_240]),
[final] ).
cnf(c_0_248,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_241,c_0_141]),
[final] ).
cnf(c_0_251,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]),
[final] ).
cnf(c_0_253,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_157]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_224]),c_0_178]),
[final] ).
cnf(c_0_256,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_248]),
[final] ).
cnf(c_0_259,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_251]),
[final] ).
cnf(c_0_261,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_120]),
[final] ).
cnf(c_0_262,plain,
( product(e_4,X1,e_3)
| product(e_3,X1,e_3)
| product(e_2,X1,e_3)
| product(e_1,X1,e_3)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_27]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]),
[final] ).
cnf(c_0_268,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_259]),c_0_260]),
[final] ).
cnf(c_0_271,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265]),
[final] ).
cnf(c_0_272,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_266]),c_0_144]),
[final] ).
cnf(c_0_274,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_254]),c_0_268]),c_0_269]),
[final] ).
cnf(c_0_276,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_226,c_0_83]),
[final] ).
cnf(c_0_277,plain,
( product(e_4,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_270,c_0_271]),c_0_272]),
[final] ).
cnf(c_0_281,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_276,c_0_277]),
[final] ).
cnf(c_0_283,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_279]),c_0_34]),
[final] ).
cnf(c_0_286,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_281]),
[final] ).
cnf(c_0_291,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_286]),c_0_287]),
[final] ).
cnf(c_0_292,plain,
( product(X1,e_4,e_2)
| product(X1,e_3,e_2)
| product(X1,e_2,e_2)
| product(X1,e_1,e_2)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_90]),
[final] ).
cnf(c_0_294,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_288]),c_0_84]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_285]),c_0_291]),c_0_196]),
[final] ).
cnf(c_0_298,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_224]),c_0_194]),
[final] ).
cnf(c_0_300,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_296]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_298]),
[final] ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_295]),c_0_291]),c_0_196]),
[final] ).
cnf(c_0_305,plain,
( product(e_3,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_201]),
[final] ).
cnf(c_0_306,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_300]),
[final] ).
cnf(c_0_307,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_301,c_0_224]),
[final] ).
cnf(c_0_310,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]),
[final] ).
cnf(c_0_311,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_112]),
[final] ).
cnf(c_0_312,plain,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_130]),
[final] ).
cnf(c_0_316,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_237,c_0_56]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_307]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_114]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_73]),
[final] ).
cnf(c_0_321,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_310]),
[final] ).
cnf(c_0_324,plain,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_312]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_202,c_0_317]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_319,c_0_127]),
[final] ).
cnf(c_0_330,plain,
( product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_134]),
[final] ).
cnf(c_0_332,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_321]),c_0_322]),
[final] ).
cnf(c_0_335,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_324,c_0_244]),
[final] ).
cnf(c_0_337,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_240]),
[final] ).
cnf(c_0_339,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_210]),
[final] ).
cnf(c_0_340,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_329]),
[final] ).
cnf(c_0_343,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_330]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_331,c_0_332]),
[final] ).
cnf(c_0_346,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_337]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_338]),c_0_71]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_339,c_0_203]),
[final] ).
cnf(c_0_351,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_75]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_268]),
[final] ).
cnf(c_0_355,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_345,c_0_274]),
[final] ).
cnf(c_0_356,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_346]),
[final] ).
cnf(c_0_357,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_302,c_0_347]),
[final] ).
cnf(c_0_358,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_165]),
[final] ).
cnf(c_0_360,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_254]),c_0_350]),
[final] ).
cnf(c_0_361,plain,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_109]),
[final] ).
cnf(c_0_362,plain,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_351]),
[final] ).
cnf(c_0_363,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_126,c_0_347]),
[final] ).
cnf(c_0_365,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_186]),c_0_187]),c_0_353]),
[final] ).
cnf(c_0_366,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_354]),
[final] ).
cnf(c_0_367,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_339,c_0_355]),
[final] ).
cnf(c_0_368,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_357]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_165]),
[final] ).
cnf(c_0_370,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_358]),
[final] ).
cnf(c_0_371,plain,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_359]),c_0_360]),c_0_291]),
[final] ).
cnf(c_0_373,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_303]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_60]),
[final] ).
cnf(c_0_376,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_56]),
[final] ).
cnf(c_0_377,plain,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_361]),
[final] ).
cnf(c_0_378,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_334,c_0_274]),
[final] ).
cnf(c_0_379,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_81]),
[final] ).
cnf(c_0_380,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]),
[final] ).
cnf(c_0_381,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_88]),
[final] ).
cnf(c_0_382,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_364,c_0_365]),c_0_196]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_161]),
[final] ).
cnf(c_0_384,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_366]),
[final] ).
cnf(c_0_385,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_367,c_0_277]),
[final] ).
cnf(c_0_386,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_368]),
[final] ).
cnf(c_0_387,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_369]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_370]),
[final] ).
cnf(c_0_390,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_371]),
[final] ).
cnf(c_0_392,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_373]),c_0_374]),
[final] ).
cnf(c_0_393,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_339,c_0_56]),
[final] ).
cnf(c_0_394,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_110]),c_0_196]),
[final] ).
cnf(c_0_396,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_377,c_0_378]),
[final] ).
cnf(c_0_397,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_379]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_380]),c_0_224]),c_0_178]),
[final] ).
cnf(c_0_399,plain,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_381,c_0_382]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_225]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_383,c_0_176]),
[final] ).
cnf(c_0_404,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_277]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]),
[final] ).
cnf(c_0_406,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_386]),
[final] ).
cnf(c_0_407,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_387]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_199]),
[final] ).
cnf(c_0_409,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_135]),
[final] ).
cnf(c_0_410,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_225]),
[final] ).
cnf(c_0_411,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_127]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_243,c_0_389]),
[final] ).
cnf(c_0_414,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_390]),
[final] ).
cnf(c_0_415,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_158,c_0_307]),
[final] ).
cnf(c_0_416,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_235]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_391,c_0_392]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_393,c_0_394]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_224]),c_0_272]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_60]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_397,c_0_212]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_339,c_0_214]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_398]),
[final] ).
cnf(c_0_426,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_122]),
[final] ).
cnf(c_0_427,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_330]),
[final] ).
cnf(c_0_429,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_277]),
[final] ).
cnf(c_0_430,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_150]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_186]),c_0_187]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_247]),c_0_240]),c_0_194]),c_0_224]),
[final] ).
cnf(c_0_433,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_120]),
[final] ).
cnf(c_0_434,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_296]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_1,e_2,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_83]),
[final] ).
cnf(c_0_437,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_330]),
[final] ).
cnf(c_0_438,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_402]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_230]),c_0_240]),
[final] ).
cnf(c_0_440,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_199]),
[final] ).
cnf(c_0_441,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_37,c_0_78]),
[final] ).
cnf(c_0_442,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_354]),c_0_240]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_271]),c_0_272]),
[final] ).
cnf(c_0_445,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_405]),c_0_224]),c_0_272]),
[final] ).
cnf(c_0_446,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_368]),
[final] ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_406,c_0_354]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_407,c_0_396]),
[final] ).
cnf(c_0_449,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_303]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_226,c_0_307]),
[final] ).
cnf(c_0_452,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_409]),
[final] ).
cnf(c_0_453,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_410]),
[final] ).
cnf(c_0_454,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_411]),
[final] ).
cnf(c_0_455,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_412,c_0_205]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_413]),c_0_224]),c_0_194]),
[final] ).
cnf(c_0_457,plain,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_253,c_0_277]),
[final] ).
cnf(c_0_458,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_354]),
[final] ).
cnf(c_0_459,plain,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_414,c_0_415]),
[final] ).
cnf(c_0_460,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_416]),
[final] ).
cnf(c_0_462,plain,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_223]),c_0_417]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_202,c_0_418]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_420]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_75]),c_0_365]),
[final] ).
cnf(c_0_466,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_302,c_0_422]),
[final] ).
cnf(c_0_467,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_298]),
[final] ).
cnf(c_0_468,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_243,c_0_424]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_298]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_243,c_0_212]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_277]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_73]),
[final] ).
cnf(c_0_479,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_240]),c_0_194]),
[final] ).
cnf(c_0_481,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_431,c_0_432]),
[final] ).
cnf(c_0_487,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_436,c_0_291]),
[final] ).
cnf(c_0_488,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_437]),
[final] ).
cnf(c_0_489,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_34,c_0_427]),
[final] ).
cnf(c_0_493,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_439]),
[final] ).
cnf(c_0_494,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_208]),c_0_240]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_159]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_1,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_441]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_442,c_0_443]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_1,e_3,e_2)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_441]),
[final] ).
cnf(c_0_502,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_419,c_0_445]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_406,c_0_394]),
[final] ).
cnf(c_0_504,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_446]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_447,c_0_443]),
[final] ).
cnf(c_0_506,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_448,c_0_303]),
[final] ).
cnf(c_0_507,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_449]),
[final] ).
cnf(c_0_508,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_450]),
[final] ).
cnf(c_0_509,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_298]),c_0_268]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_452,c_0_347]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_453,c_0_347]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_454,c_0_455]),
[final] ).
cnf(c_0_513,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_261]),
[final] ).
cnf(c_0_514,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_456]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_384,c_0_443]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_442,c_0_457]),
[final] ).
cnf(c_0_517,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_458]),
[final] ).
cnf(c_0_518,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_459]),
[final] ).
cnf(c_0_519,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_460,c_0_73]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_461,c_0_291]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_462]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_463]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_464]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_465]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_466]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_467]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_468]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_324,c_0_424]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_294]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_324,c_0_469]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_470]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_324,c_0_212]),
[final] ).
cnf(c_0_535,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_472]),c_0_473]),
[final] ).
cnf(c_0_536,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_476]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_83]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_83]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_363]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_112]),c_0_360]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_479]),c_0_365]),
[final] ).
cnf(c_0_543,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_481]),c_0_482]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_339,c_0_418]),
[final] ).
cnf(c_0_546,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_467]),c_0_485]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_271]),c_0_272]),
[final] ).
cnf(c_0_549,plain,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_488,c_0_283]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_489,c_0_212]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_207,c_0_219]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_263,c_0_347]),
[final] ).
cnf(c_0_554,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_219]),c_0_492]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_393,c_0_465]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_254]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_493]),
[final] ).
cnf(c_0_559,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_494]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_455]),
[final] ).
cnf(c_0_561,plain,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_361]),c_0_495]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_496,c_0_394]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_365]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_498]),c_0_365]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_479]),c_0_240]),c_0_194]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_348,c_0_420]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_283]),c_0_153]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_110]),c_0_196]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_254]),c_0_240]),c_0_187]),
[final] ).
cnf(c_0_571,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_501,c_0_360]),
[final] ).
cnf(c_0_572,plain,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_305]),
[final] ).
cnf(c_0_574,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_502]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_503]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_504,c_0_378]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_368]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_505]),c_0_360]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_506]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_507,c_0_344]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_310]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_507,c_0_159]),
[final] ).
cnf(c_0_583,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_327]),
[final] ).
cnf(c_0_584,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_508]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_509]),
[final] ).
cnf(c_0_586,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_510]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_162,c_0_73]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_511]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_251]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_512]),
[final] ).
cnf(c_0_591,plain,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_513,c_0_66]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_382]),c_0_205]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_514]),
[final] ).
cnf(c_0_594,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_389]),
[final] ).
cnf(c_0_595,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_348,c_0_445]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_515]),c_0_360]),
[final] ).
cnf(c_0_597,plain,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_371]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_516]),c_0_365]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_516]),c_0_365]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_517,c_0_441]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_406,c_0_230]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_406,c_0_208]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_507,c_0_307]),
[final] ).
cnf(c_0_604,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_518]),
[final] ).
cnf(c_0_605,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_327]),
[final] ).
cnf(c_0_606,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_519]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_520]),
[final] ).
cnf(c_0_608,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_330]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_508]),c_0_240]),
[final] ).
cnf(c_0_610,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_521,c_0_244]),
[final] ).
cnf(c_0_612,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_462]),
[final] ).
cnf(c_0_613,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_122]),
[final] ).
cnf(c_0_615,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_81]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_397,c_0_244]),
[final] ).
cnf(c_0_618,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_523,c_0_347]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_524,c_0_396]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_525,c_0_422]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_526,c_0_81]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_527,c_0_186]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_528,c_0_529]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_530,c_0_531]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_532,c_0_533]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_533]),c_0_535]),c_0_536]),c_0_457]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_243,c_0_494]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_3,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_235]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_235]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_235]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_235]),
[final] ).
cnf(c_0_632,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_235]),
[final] ).
cnf(c_0_633,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_539,c_0_540]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_56]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,e_2,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_56]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_498]),c_0_76]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_442,c_0_475]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_542]),c_0_543]),c_0_272]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_544,c_0_165]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_330]),c_0_271]),c_0_546]),c_0_547]),
[final] ).
cnf(c_0_641,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_548,c_0_392]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_549,c_0_443]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_550,c_0_443]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_330]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_330]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_448,c_0_551]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_448,c_0_347]),
[final] ).
cnf(c_0_648,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_553]),c_0_543]),c_0_554]),
[final] ).
cnf(c_0_649,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_555,c_0_291]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_419,c_0_277]),
[final] ).
cnf(c_0_651,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_556,c_0_277]),
[final] ).
cnf(c_0_652,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_324,c_0_557]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_378]),c_0_365]),
[final] ).
cnf(c_0_654,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_478,c_0_272]),c_0_543]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_558,c_0_73]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_135]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_135]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_559]),
[final] ).
cnf(c_0_659,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_494]),
[final] ).
cnf(c_0_660,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_494]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_73]),c_0_561]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_562,c_0_563]),c_0_240]),c_0_187]),c_0_101]),
[final] ).
cnf(c_0_663,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_564]),
[final] ).
cnf(c_0_664,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_565]),
[final] ).
cnf(c_0_665,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_225]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_225]),
[final] ).
cnf(c_0_667,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_344]),
[final] ).
cnf(c_0_668,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_566]),
[final] ).
cnf(c_0_669,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_418]),
[final] ).
cnf(c_0_670,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_567]),
[final] ).
cnf(c_0_671,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_547]),
[final] ).
cnf(c_0_672,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_443]),
[final] ).
cnf(c_0_673,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_568]),
[final] ).
cnf(c_0_674,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_420]),
[final] ).
cnf(c_0_675,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_569]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_75]),c_0_365]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_570]),c_0_360]),
[final] ).
cnf(c_0_678,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_404]),
[final] ).
cnf(c_0_679,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_404]),
[final] ).
cnf(c_0_680,plain,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_396]),
[final] ).
cnf(c_0_681,plain,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_277]),
[final] ).
cnf(c_0_682,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_557]),
[final] ).
cnf(c_0_683,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_355]),
[final] ).
cnf(c_0_684,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_355]),
[final] ).
cnf(c_0_685,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_571]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_298]),
[final] ).
cnf(c_0_687,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_432]),
[final] ).
cnf(c_0_688,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_563]),
[final] ).
cnf(c_0_689,plain,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_247]),
[final] ).
cnf(c_0_690,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_394]),
[final] ).
cnf(c_0_691,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_465]),
[final] ).
cnf(c_0_692,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_531]),
[final] ).
cnf(c_0_693,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_469]),
[final] ).
cnf(c_0_694,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_469]),
[final] ).
cnf(c_0_695,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_298]),
[final] ).
cnf(c_0_696,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_126,c_0_572]),
[final] ).
cnf(c_0_697,plain,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_294]),
[final] ).
cnf(c_0_698,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_424]),
[final] ).
cnf(c_0_699,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_424]),
[final] ).
cnf(c_0_700,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_424]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_126,c_0_551]),
[final] ).
cnf(c_0_702,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_398]),
[final] ).
cnf(c_0_703,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_422]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_310]),c_0_271]),c_0_272]),c_0_554]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_199]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_199]),
[final] ).
cnf(c_0_707,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_422]),
[final] ).
cnf(c_0_708,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_533]),
[final] ).
cnf(c_0_709,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_572]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_574,c_0_405]),
[final] ).
cnf(c_0_711,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_575,c_0_576]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_577,c_0_578]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_579,c_0_580]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_581,c_0_582]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_583,c_0_296]),
[final] ).
cnf(c_0_716,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_551]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_584,c_0_216]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_585,c_0_199]),
[final] ).
cnf(c_0_719,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_212]),
[final] ).
cnf(c_0_720,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_212]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_586,c_0_587]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_588,c_0_225]),
[final] ).
cnf(c_0_723,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_363]),
[final] ).
cnf(c_0_724,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_589,c_0_335]),
[final] ).
cnf(c_0_725,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_590,c_0_591]),
[final] ).
cnf(c_0_726,plain,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_201]),
[final] ).
cnf(c_0_727,plain,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_201]),
[final] ).
cnf(c_0_728,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_347]),
[final] ).
cnf(c_0_729,plain,
( equalish(X1,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_307]),
[final] ).
cnf(c_0_730,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_592]),
[final] ).
cnf(c_0_731,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_593,c_0_73]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_594]),
[final] ).
cnf(c_0_733,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_389]),
[final] ).
cnf(c_0_734,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_389]),
[final] ).
cnf(c_0_735,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_580]),c_0_240]),
[final] ).
cnf(c_0_736,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_358]),
[final] ).
cnf(c_0_737,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_382]),
[final] ).
cnf(c_0_738,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_214]),
[final] ).
cnf(c_0_739,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_214]),
[final] ).
cnf(c_0_740,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_203]),
[final] ).
cnf(c_0_741,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_203]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_159]),
[final] ).
cnf(c_0_744,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_186]),
[final] ).
cnf(c_0_745,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_1,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_159]),
[final] ).
cnf(c_0_746,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_159]),
[final] ).
cnf(c_0_747,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_595]),
[final] ).
cnf(c_0_748,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_596]),
[final] ).
cnf(c_0_749,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_445]),
[final] ).
cnf(c_0_750,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_597]),
[final] ).
cnf(c_0_751,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_598]),
[final] ).
cnf(c_0_752,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_599]),
[final] ).
cnf(c_0_753,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_405]),
[final] ).
cnf(c_0_755,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_405]),
[final] ).
cnf(c_0_756,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_600]),
[final] ).
cnf(c_0_757,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_601]),
[final] ).
cnf(c_0_758,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_602]),
[final] ).
cnf(c_0_759,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_503]),
[final] ).
cnf(c_0_760,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_576]),
[final] ).
cnf(c_0_762,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_603]),
[final] ).
cnf(c_0_763,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_506]),
[final] ).
cnf(c_0_764,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_604,c_0_73]),
[final] ).
cnf(c_0_765,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_303]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_605]),
[final] ).
cnf(c_0_767,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_606]),
[final] ).
cnf(c_0_768,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_317]),
[final] ).
cnf(c_0_769,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_607]),
[final] ).
cnf(c_0_770,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_296]),
[final] ).
cnf(c_0_771,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_608]),
[final] ).
cnf(c_0_774,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_371]),
[final] ).
cnf(c_0_775,plain,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_399,c_0_235]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_229,c_0_219]),
[final] ).
cnf(c_0_777,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_457]),
[final] ).
cnf(c_0_778,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_609]),
[final] ).
cnf(c_0_779,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_450]),
[final] ).
cnf(c_0_780,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_62]),
[final] ).
cnf(c_0_782,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_509]),
[final] ).
cnf(c_0_783,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_509]),
[final] ).
cnf(c_0_784,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_216]),
[final] ).
cnf(c_0_785,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_335]),
[final] ).
cnf(c_0_786,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_610]),
[final] ).
cnf(c_0_787,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_610]),
[final] ).
cnf(c_0_788,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_244]),
[final] ).
cnf(c_0_789,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_244]),
[final] ).
cnf(c_0_790,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_369]),
[final] ).
cnf(c_0_791,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_150]),
[final] ).
cnf(c_0_792,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_329]),
[final] ).
cnf(c_0_793,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_127]),
[final] ).
cnf(c_0_794,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_120]),
[final] ).
cnf(c_0_795,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_140]),
[final] ).
cnf(c_0_796,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_135]),
[final] ).
cnf(c_0_797,plain,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_130]),
[final] ).
cnf(c_0_798,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_161]),
[final] ).
cnf(c_0_799,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_161]),
[final] ).
cnf(c_0_800,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_75]),
[final] ).
cnf(c_0_801,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_122]),
[final] ).
cnf(c_0_803,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_114]),
[final] ).
cnf(c_0_804,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_462]),
[final] ).
cnf(c_0_805,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_199]),
[final] ).
cnf(c_0_806,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_96]),
[final] ).
cnf(c_0_807,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_96]),
[final] ).
cnf(c_0_808,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_225]),
[final] ).
cnf(c_0_809,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_382]),
[final] ).
cnf(c_0_811,plain,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_209]),
[final] ).
cnf(c_0_813,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_445]),
[final] ).
cnf(c_0_817,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_508]),
[final] ).
cnf(c_0_819,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_616]),
[final] ).
cnf(c_0_823,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_618]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_618]),
[final] ).
cnf(c_0_825,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_618]),
[final] ).
cnf(c_0_826,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_619]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_619]),
[final] ).
cnf(c_0_828,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_619]),
[final] ).
cnf(c_0_829,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_620]),
[final] ).
cnf(c_0_830,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_620]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_620]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_621]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_621]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_621]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_622]),
[final] ).
cnf(c_0_836,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_622]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_622]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_623]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_623]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_623]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_624]),
[final] ).
cnf(c_0_842,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_624]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_624]),
[final] ).
cnf(c_0_844,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_625]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_625]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_625]),
[final] ).
cnf(c_0_847,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_626]),
[final] ).
cnf(c_0_848,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_626]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_626]),
[final] ).
cnf(c_0_850,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_627]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_627]),
[final] ).
cnf(c_0_852,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_627]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_439]),
[final] ).
cnf(c_0_854,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_628,c_0_494]),
[final] ).
cnf(c_0_855,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_629,c_0_494]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_630,c_0_494]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_631,c_0_494]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_632,c_0_494]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_494]),
[final] ).
cnf(c_0_860,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_494]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_494]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_633]),
[final] ).
cnf(c_0_863,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_633]),
[final] ).
cnf(c_0_864,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_633]),
[final] ).
cnf(c_0_865,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_634,c_0_565]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_565]),
[final] ).
cnf(c_0_867,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_565]),
[final] ).
cnf(c_0_868,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_565]),
[final] ).
cnf(c_0_869,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_565]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_565]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_636]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_498]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_498]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_498]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_637]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_637]),
[final] ).
cnf(c_0_877,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_637]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_638]),
[final] ).
cnf(c_0_879,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_638]),
[final] ).
cnf(c_0_880,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_638]),
[final] ).
cnf(c_0_881,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_639]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_463]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_463]),
[final] ).
cnf(c_0_884,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_618]),
[final] ).
cnf(c_0_885,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_618]),
[final] ).
cnf(c_0_886,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_618]),
[final] ).
cnf(c_0_887,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_640]),
[final] ).
cnf(c_0_888,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_640]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_640]),
[final] ).
cnf(c_0_890,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_344]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_344]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_344]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_542]),
[final] ).
cnf(c_0_894,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_542]),
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_542]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_566]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_566]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_566]),
[final] ).
cnf(c_0_899,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_641]),
[final] ).
cnf(c_0_900,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_641]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_641]),
[final] ).
cnf(c_0_902,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_418]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_418]),
[final] ).
cnf(c_0_904,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_418]),
[final] ).
cnf(c_0_905,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_642]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_642]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_642]),
[final] ).
cnf(c_0_908,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_643]),
[final] ).
cnf(c_0_909,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_643]),
[final] ).
cnf(c_0_910,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_643]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_464]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_464]),
[final] ).
cnf(c_0_913,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_619]),
[final] ).
cnf(c_0_914,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_619]),
[final] ).
cnf(c_0_915,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_619]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_567]),
[final] ).
cnf(c_0_917,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_567]),
[final] ).
cnf(c_0_918,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_567]),
[final] ).
cnf(c_0_919,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_644,c_0_547]),
[final] ).
cnf(c_0_920,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_645,c_0_547]),
[final] ).
cnf(c_0_921,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_547]),
[final] ).
cnf(c_0_922,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_547]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_547]),
[final] ).
cnf(c_0_924,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_479]),
[final] ).
cnf(c_0_925,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_479]),
[final] ).
cnf(c_0_926,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_479]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_644,c_0_443]),
[final] ).
cnf(c_0_928,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_645,c_0_443]),
[final] ).
cnf(c_0_929,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_443]),
[final] ).
cnf(c_0_930,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_443]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_443]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_646]),
[final] ).
cnf(c_0_933,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_646]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_646]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_647]),
[final] ).
cnf(c_0_936,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_647]),
[final] ).
cnf(c_0_937,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_647]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_420]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_420]),
[final] ).
cnf(c_0_940,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_420]),
[final] ).
cnf(c_0_941,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_420]),
[final] ).
cnf(c_0_942,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_420]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_420]),
[final] ).
cnf(c_0_944,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_648]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_648]),
[final] ).
cnf(c_0_946,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_648]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_385]),
[final] ).
cnf(c_0_948,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_385]),
[final] ).
cnf(c_0_949,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_385]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_649]),
[final] ).
cnf(c_0_951,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_649]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_649]),
[final] ).
cnf(c_0_953,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_650]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_650]),
[final] ).
cnf(c_0_955,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_650]),
[final] ).
cnf(c_0_956,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_651]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_651]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_651]),
[final] ).
cnf(c_0_959,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_487]),
[final] ).
cnf(c_0_960,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_487]),
[final] ).
cnf(c_0_961,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_487]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_429]),
[final] ).
cnf(c_0_963,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_429]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_429]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_475]),
[final] ).
cnf(c_0_966,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_475]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_475]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_404]),
[final] ).
cnf(c_0_969,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_404]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_404]),
[final] ).
cnf(c_0_971,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_652]),
[final] ).
cnf(c_0_972,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_283]),
[final] ).
cnf(c_0_973,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_283]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_283]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_653]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_653]),
[final] ).
cnf(c_0_977,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_653]),
[final] ).
cnf(c_0_978,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_396]),
[final] ).
cnf(c_0_979,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_396]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_396]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_553]),
[final] ).
cnf(c_0_982,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_553]),
[final] ).
cnf(c_0_983,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_553]),
[final] ).
cnf(c_0_984,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_654]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_654]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_654]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_570]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_570]),
[final] ).
cnf(c_0_989,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_570]),
[final] ).
cnf(c_0_990,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_277]),
[final] ).
cnf(c_0_991,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_277]),
[final] ).
cnf(c_0_992,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_277]),
[final] ).
cnf(c_0_993,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_277]),
[final] ).
cnf(c_0_994,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_277]),
[final] ).
cnf(c_0_995,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_277]),
[final] ).
cnf(c_0_996,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_655]),
[final] ).
cnf(c_0_997,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_655]),
[final] ).
cnf(c_0_998,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_655]),
[final] ).
cnf(c_0_999,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_620]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_620]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_620]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_621]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_557]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_621]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_557]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_621]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_557]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_622]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_622]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_622]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_623]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_623]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_623]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_624]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_624]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_355]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_355]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_355]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_624]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_656,c_0_481]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_625]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_657,c_0_481]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_625]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_625]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_626]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_626]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_481]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_626]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_481]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_627]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_481]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_627]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_627]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_378]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_378]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_378]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_439]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_439]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_658,c_0_56]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_659]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_660]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_633]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_633]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_633]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_571]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_571]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_661]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_571]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_661]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_661]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_662]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_564]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_662]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_662]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_663]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_564]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_565]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_254]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_664]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_565]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_636]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_636]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_254]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_636]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_254]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_254]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_498]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_498]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_498]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_637]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_665,c_0_432]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_666,c_0_432]),
[final] ).
cnf(c_0_1073,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_637]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_637]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_638]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_638]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_432]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_638]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_432]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_639]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_639]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_432]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_639]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_463]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_463]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_463]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_640]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_640]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_640]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( equalish(X1,e_1)
| product(e_1,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_344]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_344]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_667]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_563]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_563]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_563]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_542]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_542]),
[final] ).
cnf(c_0_1098,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_542]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_566]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_566]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_668]),
[final] ).
cnf(c_0_1102,plain,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_641]),
[final] ).
cnf(c_0_1103,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_641]),
[final] ).
cnf(c_0_1104,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_641]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_418]),
[final] ).
cnf(c_0_1106,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_247]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_247]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_418]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_247]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_669]),
[final] ).
cnf(c_0_1111,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_642]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_642]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_642]),
[final] ).
cnf(c_0_1114,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_643]),
[final] ).
cnf(c_0_1115,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_643]),
[final] ).
cnf(c_0_1116,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_643]),
[final] ).
cnf(c_0_1117,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_464]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_464]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_464]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_567]),
[final] ).
cnf(c_0_1121,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_567]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_670]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_547]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_671]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_547]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_479]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_479]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_479]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_443]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_672]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_443]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_568]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_673]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_568]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_540]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_540]),
[final] ).
cnf(c_0_1137,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_540]),
[final] ).
cnf(c_0_1138,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_646]),
[final] ).
cnf(c_0_1139,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_646]),
[final] ).
cnf(c_0_1140,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_646]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_647]),
[final] ).
cnf(c_0_1142,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_647]),
[final] ).
cnf(c_0_1143,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_647]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_420]),
[final] ).
cnf(c_0_1145,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_674]),
[final] ).
cnf(c_0_1146,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_420]),
[final] ).
cnf(c_0_1147,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_569]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_634,c_0_394]),
[final] ).
cnf(c_0_1149,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_394]),
[final] ).
cnf(c_0_1150,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_394]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_675]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_569]),
[final] ).
cnf(c_0_1153,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_676]),
[final] ).
cnf(c_0_1154,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_676]),
[final] ).
cnf(c_0_1155,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_394]),
[final] ).
cnf(c_0_1156,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_676]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_394]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_394]),
[final] ).
cnf(c_0_1159,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_648]),
[final] ).
cnf(c_0_1160,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_648]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_648]),
[final] ).
cnf(c_0_1162,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_677]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_677]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_677]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_385]),
[final] ).
cnf(c_0_1166,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_385]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_634,c_0_465]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_385]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_465]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_465]),
[final] ).
cnf(c_0_1171,plain,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_649]),
[final] ).
cnf(c_0_1172,plain,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_649]),
[final] ).
cnf(c_0_1173,plain,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_649]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_465]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_465]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_650]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_650]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_650]),
[final] ).
cnf(c_0_1179,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_651]),
[final] ).
cnf(c_0_1180,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_651]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_651]),
[final] ).
cnf(c_0_1182,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_487]),
[final] ).
cnf(c_0_1183,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_487]),
[final] ).
cnf(c_0_1184,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_487]),
[final] ).
cnf(c_0_1185,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_429]),
[final] ).
cnf(c_0_1186,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_429]),
[final] ).
cnf(c_0_1187,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_429]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_475]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_475]),
[final] ).
cnf(c_0_1190,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_475]),
[final] ).
cnf(c_0_1191,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_520]),
[final] ).
cnf(c_0_1192,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_520]),
[final] ).
cnf(c_0_1193,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_520]),
[final] ).
cnf(c_0_1194,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_678]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_404]),
[final] ).
cnf(c_0_1196,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_679]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_652]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_652]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_652]),
[final] ).
cnf(c_0_1200,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_283]),
[final] ).
cnf(c_0_1201,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_283]),
[final] ).
cnf(c_0_1202,plain,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_283]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_653]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_653]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_653]),
[final] ).
cnf(c_0_1206,plain,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_680]),
[final] ).
cnf(c_0_1207,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_396]),
[final] ).
cnf(c_0_1208,plain,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_396]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_553]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_553]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_553]),
[final] ).
cnf(c_0_1212,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_654]),
[final] ).
cnf(c_0_1213,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_654]),
[final] ).
cnf(c_0_1214,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_654]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_570]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_570]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_570]),
[final] ).
cnf(c_0_1218,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_277]),
[final] ).
cnf(c_0_1219,plain,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_681]),
[final] ).
cnf(c_0_1220,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_277]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_557]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_531]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_531]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_531]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_682]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_557]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_355]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_466]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_466]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_683]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_684]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_481]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_481]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_481]),
[final] ).
cnf(c_0_1235,plain,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_378]),
[final] ).
cnf(c_0_1236,plain,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_378]),
[final] ).
cnf(c_0_1237,plain,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_378]),
[final] ).
cnf(c_0_1238,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_571]),
[final] ).
cnf(c_0_1239,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_357]),
[final] ).
cnf(c_0_1240,plain,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_571]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_357]),
[final] ).
cnf(c_0_1242,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_357]),
[final] ).
cnf(c_0_1243,plain,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_685]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_662]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_662]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_686]),
[final] ).
cnf(c_0_1247,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_686]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_686]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_467]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_467]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_662]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_254]),
[final] ).
cnf(c_0_1253,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_254]),
[final] ).
cnf(c_0_1254,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_254]),
[final] ).
cnf(c_0_1255,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_687]),
[final] ).
cnf(c_0_1256,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_432]),
[final] ).
cnf(c_0_1257,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_432]),
[final] ).
cnf(c_0_1258,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_469]),
[final] ).
cnf(c_0_1259,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_469]),
[final] ).
cnf(c_0_1260,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_469]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_563]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_563]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_688]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_298]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_298]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_298]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_298]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_298]),
[final] ).
cnf(c_0_1269,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_298]),
[final] ).
cnf(c_0_1270,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_468]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_468]),
[final] ).
cnf(c_0_1272,plain,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_689]),
[final] ).
cnf(c_0_1273,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_247]),
[final] ).
cnf(c_0_1274,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_247]),
[final] ).
cnf(c_0_1275,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_394]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_690]),
[final] ).
cnf(c_0_1277,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_394]),
[final] ).
cnf(c_0_1278,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_465]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_529]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_529]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_529]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_294]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_294]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_413]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_628,c_0_389]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_691]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_629,c_0_389]),
[final] ).
cnf(c_0_1288,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_465]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_531]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_531]),
[final] ).
cnf(c_0_1291,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_630,c_0_389]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_692]),
[final] ).
cnf(c_0_1293,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_466]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_466]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_466]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_357]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_631,c_0_389]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_632,c_0_389]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_424]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_389]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_424]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_424]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_357]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_357]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_686]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_686]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_686]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_389]),
[final] ).
cnf(c_0_1309,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_467]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_467]),
[final] ).
cnf(c_0_1311,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_389]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_467]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_693]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_694]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_469]),
[final] ).
cnf(c_0_1316,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_298]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_695]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_298]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_468]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_468]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_468]),
[final] ).
cnf(c_0_1322,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_529]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_529]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_696]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_696]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_696]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_529]),
[final] ).
cnf(c_0_1328,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_294]),
[final] ).
cnf(c_0_1329,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_398]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_398]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_398]),
[final] ).
cnf(c_0_1332,plain,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_697]),
[final] ).
cnf(c_0_1333,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_294]),
[final] ).
cnf(c_0_1334,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_502]),
[final] ).
cnf(c_0_1335,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_595]),
[final] ).
cnf(c_0_1336,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_595]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_398]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_398]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_398]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_445]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_445]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_445]),
[final] ).
cnf(c_0_1343,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_445]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_445]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_698]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_634,c_0_599]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_599]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_699]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_599]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_700]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_405]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_405]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_601]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_701]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_701]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_601]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_601]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_602]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_602]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_701]),
[final] ).
cnf(c_0_1361,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_696]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_503]),
[final] ).
cnf(c_0_1363,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_696]),
[final] ).
cnf(c_0_1364,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_576]),
[final] ).
cnf(c_0_1365,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_696]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_398]),
[final] ).
cnf(c_0_1367,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_702]),
[final] ).
cnf(c_0_1368,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_576]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_398]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_701]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_4,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_634,c_0_354]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_354]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_354]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_422]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_422]),
[final] ).
cnf(c_0_1376,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_422]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_470]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_470]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_354]),
[final] ).
cnf(c_0_1380,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_354]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_701]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_701]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_354]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_368]),
[final] ).
cnf(c_0_1385,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_603]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_703]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_603]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_422]),
[final] ).
cnf(c_0_1389,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_704]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_705,c_0_506]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_706,c_0_506]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_310]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_303]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_303]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_533]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_533]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_533]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_707]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_470]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_470]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_327]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_470]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_317]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_533]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_317]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_533]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_644,c_0_607]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_645,c_0_607]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_708]),
[final] ).
cnf(c_0_1410,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_572]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_607]),
[final] ).
cnf(c_0_1412,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_572]),
[final] ).
cnf(c_0_1413,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_607]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_572]),
[final] ).
cnf(c_0_1415,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_572]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_572]),
[final] ).
cnf(c_0_1417,plain,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_709]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_607]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_296]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_296]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_380]),
[final] ).
cnf(c_0_1422,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_380]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_380]),
[final] ).
cnf(c_0_1424,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_380]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_380]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_710]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_710]),
[final] ).
cnf(c_0_1428,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_710]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_711]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_551]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_551]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_551]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_711]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_711]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_456]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_212]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_212]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_212]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_413]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_380]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_551]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_413]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_712]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_712]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_712]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_713]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_305]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_713]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_305]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_305]),
[final] ).
cnf(c_0_1451,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_713]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_714]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_363]),
[final] ).
cnf(c_0_1454,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_363]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_714]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_714]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_715]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_551]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_715]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_715]),
[final] ).
cnf(c_0_1461,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_716]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_212]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_717]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_717]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_717]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_718]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_718]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_719]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_718]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_720]),
[final] ).
cnf(c_0_1471,plain,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_305]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_721]),
[final] ).
cnf(c_0_1473,plain,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_305]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_721]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_721]),
[final] ).
cnf(c_0_1476,plain,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_305]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_722]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_363]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_537,c_0_459]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_722]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_722]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_201]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( product(e_3,e_4,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_201]),
[final] ).
cnf(c_0_1484,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_201]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_723]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_363]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_538,c_0_459]),
[final] ).
cnf(c_0_1488,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_415]),
[final] ).
cnf(c_0_1489,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_415]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_459]),
[final] ).
cnf(c_0_1491,plain,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_415]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_724]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_724]),
[final] ).
cnf(c_0_1494,plain,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_201]),
[final] ).
cnf(c_0_1495,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_459]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_459]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_724]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_725]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_725]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_725]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_347]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_347]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_347]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_502]),
[final] ).
cnf(c_0_1505,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_710]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_710]),
[final] ).
cnf(c_0_1507,plain,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_726]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_710]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_595]),
[final] ).
cnf(c_0_1510,plain,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_727]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_445]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_599]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_599]),
[final] ).
cnf(c_0_1514,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_599]),
[final] ).
cnf(c_0_1515,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_515]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_515]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_728]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_515]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_347]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_405]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_347]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_516]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_516]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_516]),
[final] ).
cnf(c_0_1525,plain,
( equalish(X1,e_1)
| product(e_1,e_3,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_307]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_505]),
[final] ).
cnf(c_0_1527,plain,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_307]),
[final] ).
cnf(c_0_1528,plain,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_729]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_505]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( product(e_1,e_3,e_2)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_307]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( product(e_1,e_3,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_307]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_307]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_371]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_371]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_371]),
[final] ).
cnf(c_0_1536,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_505]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_601]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_601]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_601]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_602]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_503]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_711]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_592]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_711]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_592]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_730]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_711]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_592]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_592]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_592]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_731]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_634,c_0_230]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_731]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_376,c_0_230]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_731]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_230]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_456]),
[final] ).
cnf(c_0_1558,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_230]),
[final] ).
cnf(c_0_1559,plain,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_230]),
[final] ).
cnf(c_0_1560,plain,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_230]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_456]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_230]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_413]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_230]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_413]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_230]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_413]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_732,c_0_56]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_733]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_734]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_219]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_219]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_219]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_219]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_219]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_219]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_576]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_358]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_358]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_358]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_735]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_358]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_735]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_735]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_580]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_736]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_281]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_580]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_580]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_368]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_208]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_208]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_712]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_208]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_712]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_208]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_457]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_712]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_208]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_603]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_582]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_208]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_704]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_704]),
[final] ).
cnf(c_0_1605,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_382]),
[final] ).
cnf(c_0_1606,plain,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_41,c_0_737]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_382]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_506]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_2,e_4,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_382]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_713]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_382]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_713]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_713]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_506]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_214]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_738]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_310]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_214]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_714]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_214]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_214]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_457]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_457]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_739]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_714]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_714]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_337]),
[final] ).
cnf(c_0_1628,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_203]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_740]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_741]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_337]),
[final] ).
cnf(c_0_1632,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_203]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_203]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_203]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_337]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_661]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_303]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_327]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_715]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_715]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( product(e_3,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_455]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_715]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_455]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_317]),
[final] ).
cnf(c_0_1645,plain,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_455]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_742]),
[final] ).
cnf(c_0_1647,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_455]),
[final] ).
cnf(c_0_1648,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_508]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_450]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_296]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_209]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_209]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_459]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_209]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_281]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_281]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_609]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_609]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_186]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_186]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_609]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_186]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_450]),
[final] ).
cnf(c_0_1664,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_455]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_508]),
[final] ).
cnf(c_0_1666,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_209]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_717]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_509]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_216]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_216]),
[final] ).
cnf(c_0_1671,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_510]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_717]),
[final] ).
cnf(c_0_1673,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_717]),
[final] ).
cnf(c_0_1674,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_450]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_509]),
[final] ).
cnf(c_0_1676,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_718]),
[final] ).
cnf(c_0_1677,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_718]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_718]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_165]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_165]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_165]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_216]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_510]),
[final] ).
cnf(c_0_1684,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_721]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_721]),
[final] ).
cnf(c_0_1686,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_721]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_159]),
[final] ).
cnf(c_0_1688,negated_conjecture,
( product(e_4,e_1,e_2)
| product(X1,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_159]),
[final] ).
cnf(c_0_1689,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_159]),
[final] ).
cnf(c_0_1690,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_511]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_511]),
[final] ).
cnf(c_0_1692,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_209]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_722]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_186]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_722]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_722]),
[final] ).
cnf(c_0_1697,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_186]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_3,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_435,c_0_235]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_616]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_616]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_616]),
[final] ).
cnf(c_0_1702,plain,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_743]),c_0_365]),c_0_291]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_251]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_724]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_744]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_251]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_724]),
[final] ).
cnf(c_0_1708,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_165]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_335]),
[final] ).
cnf(c_0_1710,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_335]),
[final] ).
cnf(c_0_1711,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_244]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_724]),
[final] ).
cnf(c_0_1713,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_165]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_335]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_165]),
[final] ).
cnf(c_0_1716,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_610]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_159]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_244]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_512]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_610]),
[final] ).
cnf(c_0_1721,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_610]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_244]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_745]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_369]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_369]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_512]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_725]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_746]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_725]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_725]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_369]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_248]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_502]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_502]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_502]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_595]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_402]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_595]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_402]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_747]),
[final] ).
cnf(c_0_1741,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_596]),
[final] ).
cnf(c_0_1742,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_748]),
[final] ).
cnf(c_0_1743,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_596]),
[final] ).
cnf(c_0_1744,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_445]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_749]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_598]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_229,c_0_565]),
[final] ).
cnf(c_0_1748,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_393,c_0_565]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_750,c_0_636]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_751]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_598]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_599]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_752]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_599]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_578]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_578]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_578]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_515]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_515]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_515]),
[final] ).
cnf(c_0_1761,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_753]),
[final] ).
cnf(c_0_1762,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_405]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_596]),
[final] ).
cnf(c_0_1764,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_754]),c_0_224]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_755]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_600]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_756]),
[final] ).
cnf(c_0_1768,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_600]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_516]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_516]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_516]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_505]),
[final] ).
cnf(c_0_1773,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_505]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_505]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_601]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_757]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_601]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_758]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_602]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_602]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_665,c_0_150]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_503]),
[final] ).
cnf(c_0_1783,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_666,c_0_150]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_759]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_503]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_760]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_576]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_576]),
[final] ).
cnf(c_0_1789,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_735]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_735]),
[final] ).
cnf(c_0_1791,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_735]),
[final] ).
cnf(c_0_1792,plain,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_761]),c_0_271]),c_0_546]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_384,c_0_457]),
[final] ).
cnf(c_0_1794,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_354]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_580]),
[final] ).
cnf(c_0_1796,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_580]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_447,c_0_457]),
[final] ).
cnf(c_0_1798,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_393,c_0_354]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_580]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_368]),
[final] ).
cnf(c_0_1801,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_603]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_603]),
[final] ).
cnf(c_0_1803,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_762]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_582]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_582]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_582]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_704]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_704]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_704]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_763]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_506]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_506]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_310]),
[final] ).
cnf(c_0_1814,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_130]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_310]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_130]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_686]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_356,c_0_467]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_130]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_310]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_337]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_337]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_109]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( product(e_2,e_1,e_3)
| product(X1,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_109]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_507,c_0_764]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_507,c_0_519]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_109]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_507,c_0_83]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_765]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_766,c_0_310]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_767,c_0_418]),
[final] ).
cnf(c_0_1832,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_414,c_0_418]),
[final] ).
cnf(c_0_1833,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_373]),
[final] ).
cnf(c_0_1834,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_766,c_0_686]),
[final] ).
cnf(c_0_1835,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_766,c_0_467]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_327]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_327]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_317]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_317]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_768]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_742]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_742]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_742]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_607]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_769]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_81]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_607]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_81]),
[final] ).
cnf(c_0_1849,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_81]),
[final] ).
cnf(c_0_1850,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_306,c_0_764]),
[final] ).
cnf(c_0_1851,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_4,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_75]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_306,c_0_519]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_306,c_0_83]),
[final] ).
cnf(c_0_1854,negated_conjecture,
( product(e_2,e_1,e_4)
| product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_75]),
[final] ).
cnf(c_0_1855,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_75]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_434]),
[final] ).
cnf(c_0_1857,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_770]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_448,c_0_296]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_263,c_0_296]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_248]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_248]),
[final] ).
cnf(c_0_1862,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_141]),
[final] ).
cnf(c_0_1863,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_141]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_141]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_402]),
[final] ).
cnf(c_0_1866,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_176]),
[final] ).
cnf(c_0_1867,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_1,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_110]),
[final] ).
cnf(c_0_1868,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_176]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_110]),
[final] ).
cnf(c_0_1870,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_764]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_110]),
[final] ).
cnf(c_0_1872,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_764]),
[final] ).
cnf(c_0_1873,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_764]),
[final] ).
cnf(c_0_1874,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_459]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_771,c_0_547]),
[final] ).
cnf(c_0_1876,plain,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_772]),c_0_543]),c_0_554]),
[final] ).
cnf(c_0_1877,plain,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_459]),
[final] ).
cnf(c_0_1878,plain,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_773]),c_0_543]),c_0_554]),
[final] ).
cnf(c_0_1879,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_414,c_0_56]),
[final] ).
cnf(c_0_1880,plain,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_774]),
[final] ).
cnf(c_0_1881,plain,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_775,c_0_371]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_776,c_0_371]),
[final] ).
cnf(c_0_1883,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_397,c_0_371]),
[final] ).
cnf(c_0_1884,plain,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_324,c_0_371]),
[final] ).
cnf(c_0_1885,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_489,c_0_371]),
[final] ).
cnf(c_0_1886,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_176]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_169]),
[final] ).
cnf(c_0_1888,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_169]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_771,c_0_443]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_169]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_568]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_587]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_591]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_150]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_150]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_540]),
[final] ).
cnf(c_0_1897,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_112]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_112]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_112]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_150]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_281]),
[final] ).
cnf(c_0_1902,plain,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_771,c_0_429]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_771,c_0_475]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_200,c_0_520]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_281]),
[final] ).
cnf(c_0_1906,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_457]),
[final] ).
cnf(c_0_1907,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_457]),
[final] ).
cnf(c_0_1908,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_777]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_87]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_41,c_0_778]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( product(e_1,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_87]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_609]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_87]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_609]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_508]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_441]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_508]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_450]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_450]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_779]),
[final] ).
cnf(c_0_1921,plain,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_780,c_0_571]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_254]),c_0_268]),
[final] ).
cnf(c_0_1923,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_519]),
[final] ).
cnf(c_0_1924,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_519]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_782]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_509]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_783]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_216]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_784]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_510]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_510]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_510]),
[final] ).
cnf(c_0_1933,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_511]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_60]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_511]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_511]),
[final] ).
cnf(c_0_1937,plain,
( equalish(X1,e_3)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_235]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_298]),c_0_268]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_616]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_616]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_489,c_0_424]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_251]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_251]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_335]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_335]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_785]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_126,c_0_216]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_786]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_787]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_610]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_244]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_788]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_789]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_512]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_512]),
[final] ).
cnf(c_0_1956,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_512]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_369]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_790]),
[final] ).
cnf(c_0_1959,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_211,c_0_244]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_248]),
[final] ).
cnf(c_0_1961,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_248]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_141]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_141]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_402]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_402]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_176]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_132]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_132]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_176]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_329]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_169]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_169]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_329]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_169]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_587]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_329]),
[final] ).
cnf(c_0_1977,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_127]),
[final] ).
cnf(c_0_1978,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_587]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_127]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_127]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_587]),
[final] ).
cnf(c_0_1982,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_591]),
[final] ).
cnf(c_0_1983,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_705,c_0_120]),
[final] ).
cnf(c_0_1984,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_28,c_0_591]),
[final] ).
cnf(c_0_1985,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_591]),
[final] ).
cnf(c_0_1986,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_706,c_0_120]),
[final] ).
cnf(c_0_1987,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_120]),
[final] ).
cnf(c_0_1988,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_791]),
[final] ).
cnf(c_0_1989,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_120]),
[final] ).
cnf(c_0_1990,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_132]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_132]),
[final] ).
cnf(c_0_1992,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_120]),
[final] ).
cnf(c_0_1993,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_329]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_41,c_0_792]),
[final] ).
cnf(c_0_1995,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_127]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_55,c_0_793]),
[final] ).
cnf(c_0_1997,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_794]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_140]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_140]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_140]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_795]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_140]),
[final] ).
cnf(c_0_2003,plain,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_130]),
[final] ).
cnf(c_0_2004,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_796]),
[final] ).
cnf(c_0_2005,plain,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_797]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_135]),
[final] ).
cnf(c_0_2007,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_135]),
[final] ).
cnf(c_0_2008,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_109]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_780,c_0_140]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_161]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_615]),
[final] ).
cnf(c_0_2012,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_63,c_0_798]),
[final] ).
cnf(c_0_2013,plain,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_75]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_799]),
[final] ).
cnf(c_0_2015,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_161]),
[final] ).
cnf(c_0_2016,plain,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_79,c_0_800]),
[final] ).
cnf(c_0_2017,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_122]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_122]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_199]),c_0_131]),
[final] ).
cnf(c_0_2020,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_801]),
[final] ).
cnf(c_0_2021,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_613]),
[final] ).
cnf(c_0_2022,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_34,c_0_426]),
[final] ).
cnf(c_0_2023,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_28,c_0_110]),
[final] ).
cnf(c_0_2024,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_802]),c_0_61]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_66]),
[final] ).
cnf(c_0_2026,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_40,c_0_112]),
[final] ).
cnf(c_0_2027,plain,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_79,c_0_311]),
[final] ).
cnf(c_0_2028,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_40,c_0_87]),
[final] ).
cnf(c_0_2029,plain,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_28,c_0_87]),
[final] ).
cnf(c_0_2030,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_114]),
[final] ).
cnf(c_0_2031,plain,
( equalish(X1,e_1)
| product(e_1,e_3,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_441]),
[final] ).
cnf(c_0_2032,plain,
( equalish(X1,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_441]),
[final] ).
cnf(c_0_2033,plain,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_441]),
[final] ).
cnf(c_0_2034,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_34,c_0_803]),
[final] ).
cnf(c_0_2035,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_114]),
[final] ).
cnf(c_0_2036,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_114]),
[final] ).
cnf(c_0_2037,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_40,c_0_60]),
[final] ).
cnf(c_0_2038,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_28,c_0_60]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_462]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_462]),
[final] ).
cnf(c_0_2041,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_804]),
[final] ).
cnf(c_0_2042,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_462]),
[final] ).
cnf(c_0_2043,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_805]),
[final] ).
cnf(c_0_2044,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_440]),
[final] ).
cnf(c_0_2045,plain,
( equalish(X1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_66]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_96]),
[final] ).
cnf(c_0_2047,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_806]),
[final] ).
cnf(c_0_2048,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_807]),
[final] ).
cnf(c_0_2049,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_96]),
[final] ).
cnf(c_0_2050,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_237,c_0_96]),
[final] ).
cnf(c_0_2051,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_339,c_0_96]),
[final] ).
cnf(c_0_2052,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_63,c_0_808]),
[final] ).
cnf(c_0_2053,plain,
( equalish(X1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_73]),
[final] ).
cnf(c_0_2054,plain,
~ product(e_1,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_809]),c_0_810]),
[final] ).
cnf(c_0_2055,plain,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_811]),c_0_812]),
[final] ).
cnf(c_0_2056,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_813]),c_0_814]),
[final] ).
cnf(c_0_2057,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_759]),c_0_815]),
[final] ).
cnf(c_0_2058,negated_conjecture,
~ product(e_1,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_760]),c_0_816]),
[final] ).
cnf(c_0_2059,negated_conjecture,
~ product(e_1,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_817]),c_0_818]),
[final] ).
cnf(c_0_2060,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_819]),c_0_820]),
[final] ).
cnf(c_0_2061,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_219]),c_0_822]),
[final] ).
cnf(c_0_2062,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_45,c_0_29]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP125-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 03:07:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.8NiH3nUqxu/E---3.1_8796.p
% 4.15/0.97 # Version: 3.1pre001
% 4.15/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.15/0.97 # Starting new_bool_3 with 300s (1) cores
% 4.15/0.97 # Starting new_bool_1 with 300s (1) cores
% 4.15/0.97 # Starting sh5l with 300s (1) cores
% 4.15/0.97 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8873 completed with status 1
% 4.15/0.97 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.15/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.15/0.97 # No SInE strategy applied
% 4.15/0.97 # Search class: FGUNF-FFSS00-SFFFFFNN
% 4.15/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.15/0.97 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 4.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.15/0.97 # Starting new_bool_3 with 136s (1) cores
% 4.15/0.97 # Starting new_bool_1 with 136s (1) cores
% 4.15/0.97 # Starting sh5l with 136s (1) cores
% 4.15/0.97 # SAT001_MinMin_p005000_rr_RG with pid 8877 completed with status 1
% 4.15/0.97 # Result found by SAT001_MinMin_p005000_rr_RG
% 4.15/0.97 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.15/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.15/0.97 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.15/0.97 # No SInE strategy applied
% 4.15/0.97 # Search class: FGUNF-FFSS00-SFFFFFNN
% 4.15/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.15/0.97 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 4.15/0.97 # Preprocessing time : 0.001 s
% 4.15/0.97 # Presaturation interreduction done
% 4.15/0.97
% 4.15/0.97 # No proof found!
% 4.15/0.97 # SZS status Satisfiable
% 4.15/0.97 # SZS output start Saturation
% See solution above
% 4.15/0.98 # Parsed axioms : 26
% 4.15/0.98 # Removed by relevancy pruning/SinE : 0
% 4.15/0.98 # Initial clauses : 26
% 4.15/0.98 # Removed in clause preprocessing : 0
% 4.15/0.98 # Initial clauses in saturation : 26
% 4.15/0.98 # Processed clauses : 17726
% 4.15/0.98 # ...of these trivial : 0
% 4.15/0.98 # ...subsumed : 15041
% 4.15/0.98 # ...remaining for further processing : 2685
% 4.15/0.98 # Other redundant clauses eliminated : 0
% 4.15/0.98 # Clauses deleted for lack of memory : 0
% 4.15/0.98 # Backward-subsumed : 768
% 4.15/0.98 # Backward-rewritten : 0
% 4.15/0.98 # Generated clauses : 21747
% 4.15/0.98 # ...of the previous two non-redundant : 20581
% 4.15/0.98 # ...aggressively subsumed : 0
% 4.15/0.98 # Contextual simplify-reflections : 68
% 4.15/0.98 # Paramodulations : 21699
% 4.15/0.98 # Factorizations : 0
% 4.15/0.98 # NegExts : 0
% 4.15/0.98 # Equation resolutions : 0
% 4.15/0.98 # Total rewrite steps : 17
% 4.15/0.98 # Propositional unsat checks : 0
% 4.15/0.98 # Propositional check models : 0
% 4.15/0.98 # Propositional check unsatisfiable : 0
% 4.15/0.98 # Propositional clauses : 0
% 4.15/0.98 # Propositional clauses after purity: 0
% 4.15/0.98 # Propositional unsat core size : 0
% 4.15/0.98 # Propositional preprocessing time : 0.000
% 4.15/0.98 # Propositional encoding time : 0.000
% 4.15/0.98 # Propositional solver time : 0.000
% 4.15/0.98 # Success case prop preproc time : 0.000
% 4.15/0.98 # Success case prop encoding time : 0.000
% 4.15/0.98 # Success case prop solver time : 0.000
% 4.15/0.98 # Current number of processed clauses : 1843
% 4.15/0.98 # Positive orientable unit clauses : 6
% 4.15/0.98 # Positive unorientable unit clauses: 0
% 4.15/0.98 # Negative unit clauses : 48
% 4.15/0.98 # Non-unit-clauses : 1789
% 4.15/0.98 # Current number of unprocessed clauses: 0
% 4.15/0.98 # ...number of literals in the above : 0
% 4.15/0.98 # Current number of archived formulas : 0
% 4.15/0.98 # Current number of archived clauses : 842
% 4.15/0.98 # Clause-clause subsumption calls (NU) : 487373
% 4.15/0.98 # Rec. Clause-clause subsumption calls : 403575
% 4.15/0.98 # Non-unit clause-clause subsumptions : 14231
% 4.15/0.98 # Unit Clause-clause subsumption calls : 4909
% 4.15/0.98 # Rewrite failures with RHS unbound : 0
% 4.15/0.98 # BW rewrite match attempts : 13
% 4.15/0.98 # BW rewrite match successes : 0
% 4.15/0.98 # Condensation attempts : 0
% 4.15/0.98 # Condensation successes : 0
% 4.15/0.98 # Termbank termtop insertions : 250703
% 4.15/0.98
% 4.15/0.98 # -------------------------------------------------
% 4.15/0.98 # User time : 0.518 s
% 4.15/0.98 # System time : 0.008 s
% 4.15/0.98 # Total time : 0.526 s
% 4.15/0.98 # Maximum resident set size: 2032 pages
% 4.15/0.98
% 4.15/0.98 # -------------------------------------------------
% 4.15/0.98 # User time : 2.675 s
% 4.15/0.98 # System time : 0.025 s
% 4.15/0.98 # Total time : 2.700 s
% 4.15/0.98 # Maximum resident set size: 1988 pages
% 4.15/0.98 % E---3.1 exiting
%------------------------------------------------------------------------------