TSTP Solution File: GRP123-4.004 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP123-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 17:38:03 EDT 2023
% Result : Satisfiable 4.70s 1.19s
% Output : Saturation 4.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_25,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_26,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_27,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_28,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_29,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_25,c_0_26]),
[final] ).
cnf(c_0_30,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_31,plain,
( equalish(X1,X2)
| ~ product(X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]),
[final] ).
cnf(c_0_33,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_34,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_35,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_37,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_38,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_34,c_0_35]),
[final] ).
cnf(c_0_39,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_40,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_42,plain,
( equalish(X1,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_28]),
[final] ).
cnf(c_0_44,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_45,plain,
( equalish(X1,X2)
| ~ product(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_28]),
[final] ).
cnf(c_0_47,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_48,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_25,c_0_35]),
[final] ).
cnf(c_0_50,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_51,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_45,c_0_46]),c_0_47]),
[final] ).
cnf(c_0_53,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_45,c_0_49]),c_0_50]),
[final] ).
cnf(c_0_54,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_55,plain,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_51]),
[final] ).
cnf(c_0_57,negated_conjecture,
( equalish(X2,X5)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
qg1_2,
[final] ).
cnf(c_0_58,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_34,c_0_26]),
[final] ).
cnf(c_0_59,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_60,plain,
( equalish(X1,e_4)
| product(e_1,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_53]),
[final] ).
cnf(c_0_62,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_45,c_0_56]),c_0_50]),
[final] ).
cnf(c_0_63,negated_conjecture,
( equalish(X1,X2)
| ~ product(X2,X1,X3)
| ~ product(X2,X2,X4)
| ~ product(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_57,c_0_28]),
[final] ).
cnf(c_0_65,plain,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),
[final] ).
cnf(c_0_66,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_67,plain,
( equalish(X1,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_62]),
[final] ).
cnf(c_0_68,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_44]),
[final] ).
cnf(c_0_69,plain,
( equalish(X1,e_1)
| product(e_1,e_4,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_62]),
[final] ).
cnf(c_0_71,plain,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]),
[final] ).
cnf(c_0_72,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_68,c_0_28]),
[final] ).
cnf(c_0_74,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_75,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_42,c_0_70]),c_0_33]),
[final] ).
cnf(c_0_76,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_77,plain,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_71]),
[final] ).
cnf(c_0_78,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_72]),c_0_44]),
[final] ).
cnf(c_0_80,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_74,c_0_30]),
[final] ).
cnf(c_0_81,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_75]),
[final] ).
cnf(c_0_83,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_28]),
[final] ).
cnf(c_0_87,plain,
~ product(e_1,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_81]),c_0_82]),
[final] ).
cnf(c_0_90,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_88]),c_0_59]),
[final] ).
cnf(c_0_93,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_94,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_42,c_0_89]),c_0_50]),
[final] ).
cnf(c_0_95,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_96,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_37,c_0_90]),
[final] ).
cnf(c_0_97,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_72]),
[final] ).
cnf(c_0_100,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_25,c_0_93]),
[final] ).
cnf(c_0_101,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_102,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_72]),
[final] ).
cnf(c_0_104,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_94]),
[final] ).
cnf(c_0_106,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_97]),
[final] ).
cnf(c_0_107,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_98]),c_0_47]),
[final] ).
cnf(c_0_109,plain,
( equalish(X1,e_1)
| ~ product(e_1,e_2,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_51]),
[final] ).
cnf(c_0_114,plain,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_115,plain,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_104]),c_0_85]),
[final] ).
cnf(c_0_116,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]),
[final] ).
cnf(c_0_119,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_71]),c_0_44]),
[final] ).
cnf(c_0_120,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_109]),
[final] ).
cnf(c_0_122,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_107]),
[final] ).
cnf(c_0_125,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_128,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_28]),
[final] ).
cnf(c_0_133,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_102]),
[final] ).
cnf(c_0_135,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_28]),c_0_28])]),c_0_59]),
[final] ).
cnf(c_0_136,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_27,c_0_90]),
[final] ).
cnf(c_0_137,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_127]),c_0_125]),
[final] ).
cnf(c_0_142,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_74,c_0_93]),
[final] ).
cnf(c_0_143,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_133,c_0_94]),
[final] ).
cnf(c_0_146,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_137]),
[final] ).
cnf(c_0_147,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_138]),c_0_76]),
[final] ).
cnf(c_0_150,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_40,c_0_141]),
[final] ).
cnf(c_0_152,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145]),
[final] ).
cnf(c_0_156,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_25,c_0_30]),
[final] ).
cnf(c_0_158,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_94]),c_0_154]),
[final] ).
cnf(c_0_161,plain,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_66,c_0_60]),
[final] ).
cnf(c_0_162,plain,
( product(e_1,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_157,c_0_158]),
[final] ).
cnf(c_0_166,plain,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]),
[final] ).
cnf(c_0_169,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_31,c_0_165]),c_0_50]),
[final] ).
cnf(c_0_170,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_106,c_0_51]),
[final] ).
cnf(c_0_172,plain,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_101,c_0_69]),
[final] ).
cnf(c_0_173,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_166]),c_0_101]),
[final] ).
cnf(c_0_175,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_94]),c_0_167]),
[final] ).
cnf(c_0_179,plain,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_169]),
[final] ).
cnf(c_0_180,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_121]),c_0_171]),
[final] ).
cnf(c_0_181,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_172]),
[final] ).
cnf(c_0_182,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_173,c_0_28]),
[final] ).
cnf(c_0_186,plain,
( equalish(X1,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_71]),
[final] ).
cnf(c_0_189,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_180]),
[final] ).
cnf(c_0_190,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_169]),c_0_50]),
[final] ).
cnf(c_0_191,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_181]),
[final] ).
cnf(c_0_192,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_147,c_0_182]),
[final] ).
cnf(c_0_193,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_31,c_0_183]),c_0_101]),
[final] ).
cnf(c_0_196,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_186]),
[final] ).
cnf(c_0_197,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_74,c_0_26]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_190,c_0_28]),
[final] ).
cnf(c_0_202,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_191,c_0_107]),
[final] ).
cnf(c_0_204,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]),
[final] ).
cnf(c_0_214,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_201]),
[final] ).
cnf(c_0_217,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_204]),c_0_40]),
[final] ).
cnf(c_0_221,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_45,c_0_209]),c_0_76]),
[final] ).
cnf(c_0_222,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_135]),
[final] ).
cnf(c_0_224,plain,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_162]),c_0_212]),
[final] ).
cnf(c_0_226,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_214]),
[final] ).
cnf(c_0_227,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_215]),c_0_125]),
[final] ).
cnf(c_0_229,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),
[final] ).
cnf(c_0_230,plain,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_220]),c_0_59]),
[final] ).
cnf(c_0_231,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_182]),
[final] ).
cnf(c_0_232,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_222]),
[final] ).
cnf(c_0_233,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_223,c_0_224]),
[final] ).
cnf(c_0_236,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_226,c_0_227]),
[final] ).
cnf(c_0_237,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_228,c_0_229]),
[final] ).
cnf(c_0_238,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_230]),
[final] ).
cnf(c_0_239,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_231,c_0_193]),
[final] ).
cnf(c_0_240,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]),
[final] ).
cnf(c_0_242,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_234]),c_0_28])]),
[final] ).
cnf(c_0_243,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_37,c_0_204]),
[final] ).
cnf(c_0_245,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_33]),
[final] ).
cnf(c_0_246,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_107]),
[final] ).
cnf(c_0_247,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_34,c_0_93]),
[final] ).
cnf(c_0_248,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]),
[final] ).
cnf(c_0_250,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]),
[final] ).
cnf(c_0_251,plain,
( product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_101,c_0_179]),
[final] ).
cnf(c_0_253,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_243]),c_0_244]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_245,c_0_28]),
[final] ).
cnf(c_0_255,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_246]),
[final] ).
cnf(c_0_257,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_94]),
[final] ).
cnf(c_0_258,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_135]),
[final] ).
cnf(c_0_260,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_37,c_0_248]),
[final] ).
cnf(c_0_262,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_251]),
[final] ).
cnf(c_0_263,plain,
( product(e_1,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_252,c_0_253]),
[final] ).
cnf(c_0_265,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_255,c_0_53]),
[final] ).
cnf(c_0_267,plain,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_60]),c_0_256]),
[final] ).
cnf(c_0_268,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_27,c_0_204]),
[final] ).
cnf(c_0_270,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_258]),
[final] ).
cnf(c_0_271,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_34,c_0_30]),
[final] ).
cnf(c_0_272,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_201]),c_0_50]),
[final] ).
cnf(c_0_273,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_84,c_0_114]),c_0_115]),
[final] ).
cnf(c_0_275,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_260]),c_0_261]),
[final] ).
cnf(c_0_277,plain,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_196,c_0_263]),
[final] ).
cnf(c_0_279,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_265]),
[final] ).
cnf(c_0_281,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_268]),c_0_269]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_94]),c_0_125]),
[final] ).
cnf(c_0_283,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_39,c_0_90]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_162]),
[final] ).
cnf(c_0_286,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_272,c_0_28]),
[final] ).
cnf(c_0_288,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_72]),c_0_114]),c_0_115]),c_0_273]),
[final] ).
cnf(c_0_289,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_274,c_0_275]),
[final] ).
cnf(c_0_291,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_278]),c_0_76]),
[final] ).
cnf(c_0_293,plain,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_280,c_0_281]),
[final] ).
cnf(c_0_294,plain,
( equalish(X1,e_4)
| product(e_4,e_1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_169]),
[final] ).
cnf(c_0_295,plain,
( equalish(X1,e_4)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_71]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_75]),c_0_28])]),
[final] ).
cnf(c_0_299,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_251]),
[final] ).
cnf(c_0_300,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_27,c_0_284]),
[final] ).
cnf(c_0_302,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_44,c_0_243]),
[final] ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_286,c_0_237]),
[final] ).
cnf(c_0_305,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_50]),c_0_290]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_291,c_0_240]),
[final] ).
cnf(c_0_310,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_295]),
[final] ).
cnf(c_0_311,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_107]),c_0_33]),
[final] ).
cnf(c_0_314,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),
[final] ).
cnf(c_0_317,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_279]),
[final] ).
cnf(c_0_318,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_42,c_0_301]),c_0_50]),
[final] ).
cnf(c_0_319,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]),
[final] ).
cnf(c_0_320,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_304,c_0_305]),
[final] ).
cnf(c_0_321,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_39,c_0_306]),
[final] ).
cnf(c_0_322,plain,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_66,c_0_294]),
[final] ).
cnf(c_0_326,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_74,c_0_35]),
[final] ).
cnf(c_0_328,plain,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_310,c_0_162]),
[final] ).
cnf(c_0_329,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_311,c_0_28]),
[final] ).
cnf(c_0_332,plain,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_277]),c_0_316]),
[final] ).
cnf(c_0_333,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]),
[final] ).
cnf(c_0_334,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_320]),
[final] ).
cnf(c_0_335,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_321]),
[final] ).
cnf(c_0_336,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_322]),
[final] ).
cnf(c_0_337,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_45,c_0_323]),c_0_47]),
[final] ).
cnf(c_0_338,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_251]),c_0_50]),
[final] ).
cnf(c_0_340,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_325]),c_0_101]),
[final] ).
cnf(c_0_341,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_37,c_0_306]),
[final] ).
cnf(c_0_344,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_328,c_0_297]),
[final] ).
cnf(c_0_346,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_331,c_0_332]),
[final] ).
cnf(c_0_347,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_333]),c_0_66]),
[final] ).
cnf(c_0_348,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_27,c_0_334]),
[final] ).
cnf(c_0_349,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_27,c_0_306]),
[final] ).
cnf(c_0_350,plain,
( equalish(X1,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_51]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_293]),c_0_59]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_335,c_0_75]),
[final] ).
cnf(c_0_354,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_336]),
[final] ).
cnf(c_0_355,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_337]),
[final] ).
cnf(c_0_356,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_338,c_0_28]),
[final] ).
cnf(c_0_358,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_53]),c_0_339]),
[final] ).
cnf(c_0_359,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_340]),
[final] ).
cnf(c_0_363,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_39,c_0_334]),
[final] ).
cnf(c_0_365,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_345]),c_0_125]),
[final] ).
cnf(c_0_366,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_122]),
[final] ).
cnf(c_0_367,plain,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_346]),
[final] ).
cnf(c_0_368,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_166]),c_0_28])]),
[final] ).
cnf(c_0_369,negated_conjecture,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
qg1_1,
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_53]),c_0_28])]),
[final] ).
cnf(c_0_376,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_230]),
[final] ).
cnf(c_0_377,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_137]),
[final] ).
cnf(c_0_378,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_355]),
[final] ).
cnf(c_0_379,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_356,c_0_277]),
[final] ).
cnf(c_0_381,plain,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_359]),c_0_360]),
[final] ).
cnf(c_0_382,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_226,c_0_284]),
[final] ).
cnf(c_0_383,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_31,c_0_361]),c_0_50]),
[final] ).
cnf(c_0_384,plain,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_346]),
[final] ).
cnf(c_0_386,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_363]),c_0_364]),
[final] ).
cnf(c_0_387,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_310,c_0_107]),
[final] ).
cnf(c_0_388,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_77]),
[final] ).
cnf(c_0_389,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_365]),
[final] ).
cnf(c_0_391,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_366,c_0_318]),
[final] ).
cnf(c_0_392,plain,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_367]),
[final] ).
cnf(c_0_393,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_39,c_0_368]),
[final] ).
cnf(c_0_394,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_182]),
[final] ).
cnf(c_0_397,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_340]),c_0_372]),
[final] ).
cnf(c_0_398,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_374]),c_0_375]),
[final] ).
cnf(c_0_399,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_376]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_377,c_0_273]),
[final] ).
cnf(c_0_401,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_310,c_0_337]),
[final] ).
cnf(c_0_402,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_378,c_0_53]),
[final] ).
cnf(c_0_403,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_379,c_0_240]),
[final] ).
cnf(c_0_404,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_380,c_0_381]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_382,c_0_383]),
[final] ).
cnf(c_0_406,plain,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_384]),
[final] ).
cnf(c_0_407,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_385,c_0_386]),
[final] ).
cnf(c_0_408,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_37,c_0_284]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_387,c_0_263]),
[final] ).
cnf(c_0_410,plain,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_388,c_0_233]),
[final] ).
cnf(c_0_411,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_3,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_107]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_389,c_0_237]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_391,c_0_392]),
[final] ).
cnf(c_0_416,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_39,c_0_303]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_393]),
[final] ).
cnf(c_0_418,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_394]),
[final] ).
cnf(c_0_419,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_277]),
[final] ).
cnf(c_0_421,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_182]),
[final] ).
cnf(c_0_424,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_121,c_0_398]),
[final] ).
cnf(c_0_425,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_399,c_0_71]),
[final] ).
cnf(c_0_426,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_39,c_0_400]),
[final] ).
cnf(c_0_427,plain,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_401,c_0_263]),
[final] ).
cnf(c_0_428,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_402]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_403,c_0_404]),
[final] ).
cnf(c_0_430,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_39,c_0_405]),
[final] ).
cnf(c_0_431,plain,
( product(e_2,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_406,c_0_407]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_409,c_0_293]),
[final] ).
cnf(c_0_435,plain,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_410,c_0_263]),
[final] ).
cnf(c_0_436,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_233]),
[final] ).
cnf(c_0_437,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_201]),
[final] ).
cnf(c_0_439,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_411]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_62]),c_0_28])]),
[final] ).
cnf(c_0_442,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_39,c_0_412]),
[final] ).
cnf(c_0_444,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_414,c_0_398]),
[final] ).
cnf(c_0_445,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_415]),c_0_66]),
[final] ).
cnf(c_0_446,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_416]),
[final] ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_417,c_0_51]),
[final] ).
cnf(c_0_448,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_418,c_0_51]),
[final] ).
cnf(c_0_449,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_419]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_128,c_0_263]),
[final] ).
cnf(c_0_451,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_182]),
[final] ).
cnf(c_0_453,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_268]),c_0_420]),
[final] ).
cnf(c_0_454,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_421]),
[final] ).
cnf(c_0_455,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_42,c_0_422]),c_0_101]),
[final] ).
cnf(c_0_456,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_28]),c_0_28])]),c_0_101]),
[final] ).
cnf(c_0_458,plain,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_120,c_0_424]),
[final] ).
cnf(c_0_459,plain,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_425,c_0_263]),
[final] ).
cnf(c_0_460,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_426]),
[final] ).
cnf(c_0_461,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_427]),
[final] ).
cnf(c_0_462,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_33,c_0_428]),
[final] ).
cnf(c_0_463,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_39,c_0_429]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_430]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_391,c_0_431]),
[final] ).
cnf(c_0_467,plain,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_419]),c_0_433]),
[final] ).
cnf(c_0_468,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_27,c_0_434]),
[final] ).
cnf(c_0_470,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_293]),
[final] ).
cnf(c_0_471,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_435]),
[final] ).
cnf(c_0_472,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_382,c_0_237]),
[final] ).
cnf(c_0_473,plain,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_436]),
[final] ).
cnf(c_0_475,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_237]),c_0_47]),
[final] ).
cnf(c_0_476,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_437]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_439,c_0_440]),
[final] ).
cnf(c_0_480,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_442]),c_0_443]),
[final] ).
cnf(c_0_481,plain,
( equalish(X1,e_1)
| product(e_1,e_3,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_444]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_424]),c_0_28])]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_446,c_0_424]),
[final] ).
cnf(c_0_484,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_447,c_0_424]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_448,c_0_424]),
[final] ).
cnf(c_0_486,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_283]),
[final] ).
cnf(c_0_487,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_169]),
[final] ).
cnf(c_0_488,plain,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_449,c_0_169]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_318]),c_0_59]),
[final] ).
cnf(c_0_490,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_36,c_0_65]),
[final] ).
cnf(c_0_491,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_27,c_0_450]),
[final] ).
cnf(c_0_492,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_451,c_0_193]),
[final] ).
cnf(c_0_493,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_27,c_0_365]),
[final] ).
cnf(c_0_494,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_27,c_0_227]),
[final] ).
cnf(c_0_495,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_452,c_0_281]),c_0_453]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_455]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_456,c_0_318]),
[final] ).
cnf(c_0_498,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_402]),c_0_101]),
[final] ).
cnf(c_0_500,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_137]),
[final] ).
cnf(c_0_501,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_458]),
[final] ).
cnf(c_0_502,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_459]),
[final] ).
cnf(c_0_503,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_328,c_0_263]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_444]),
[final] ).
cnf(c_0_505,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_461]),
[final] ).
cnf(c_0_506,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_191,c_0_51]),
[final] ).
cnf(c_0_509,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_462,c_0_303]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_463]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_464,c_0_444]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_465]),c_0_66]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_383]),c_0_47]),
[final] ).
cnf(c_0_515,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_466,c_0_467]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_468]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_317,c_0_293]),
[final] ).
cnf(c_0_519,plain,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_470]),c_0_330]),
[final] ).
cnf(c_0_520,plain,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_471]),
[final] ).
cnf(c_0_521,plain,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_263]),
[final] ).
cnf(c_0_522,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_39,c_0_472]),
[final] ).
cnf(c_0_523,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_473,c_0_444]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_28]),c_0_28])]),c_0_101]),
[final] ).
cnf(c_0_525,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_81]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_169]),c_0_28])]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_476,c_0_407]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_478,c_0_318]),
[final] ).
cnf(c_0_532,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_479,c_0_480]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_439,c_0_135]),
[final] ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_106,c_0_337]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_116,c_0_293]),
[final] ).
cnf(c_0_536,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_226,c_0_344]),
[final] ).
cnf(c_0_537,plain,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_481]),
[final] ).
cnf(c_0_538,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_27,c_0_482]),
[final] ).
cnf(c_0_539,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_27,c_0_483]),
[final] ).
cnf(c_0_540,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_27,c_0_484]),
[final] ).
cnf(c_0_541,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_485]),
[final] ).
cnf(c_0_542,plain,
( product(e_1,e_3,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_399,c_0_444]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_486,c_0_444]),
[final] ).
cnf(c_0_544,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_289]),c_0_488]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_28])]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_491]),
[final] ).
cnf(c_0_547,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_299]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_492,c_0_383]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_446,c_0_265]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_493]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_494]),
[final] ).
cnf(c_0_552,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_322]),c_0_50]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_71]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_495]),c_0_125]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_496,c_0_497]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_193]),c_0_66]),
[final] ).
cnf(c_0_557,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_182]),
[final] ).
cnf(c_0_558,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_498,c_0_28]),
[final] ).
cnf(c_0_559,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_499,c_0_480]),
[final] ).
cnf(c_0_560,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_500]),
[final] ).
cnf(c_0_561,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_172]),c_0_44]),
[final] ).
cnf(c_0_562,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_501]),
[final] ).
cnf(c_0_563,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_502]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_226,c_0_503]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_504]),
[final] ).
cnf(c_0_566,plain,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_505,c_0_169]),
[final] ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_233]),c_0_28])]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_202,c_0_318]),
[final] ).
cnf(c_0_569,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_506,c_0_121]),c_0_507]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_53]),c_0_28])]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_236,c_0_383]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_509,c_0_320]),
[final] ).
cnf(c_0_575,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_511,c_0_62]),
[final] ).
cnf(c_0_576,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_512]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_424]),c_0_28])]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_515]),c_0_28])]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_516,c_0_169]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_517,c_0_303]),
[final] ).
cnf(c_0_582,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_518,c_0_519]),
[final] ).
cnf(c_0_583,plain,
( product(e_4,e_1,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_520,c_0_169]),
[final] ).
cnf(c_0_584,plain,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_521]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_522]),
[final] ).
cnf(c_0_586,plain,
( product(e_2,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_523]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_524,c_0_424]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_524,c_0_166]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_525,c_0_135]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_28])]),c_0_381]),c_0_358]),
[final] ).
cnf(c_0_592,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_528,c_0_237]),
[final] ).
cnf(c_0_593,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_407]),c_0_28])]),c_0_386]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_496,c_0_530]),
[final] ).
cnf(c_0_595,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_532]),c_0_28])]),c_0_480]),c_0_332]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_533,c_0_318]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_94]),
[final] ).
cnf(c_0_598,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_535,c_0_495]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_533,c_0_293]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_536,c_0_237]),
[final] ).
cnf(c_0_601,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_161,c_0_537]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_538]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_539]),
[final] ).
cnf(c_0_604,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_540]),
[final] ).
cnf(c_0_605,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_541]),
[final] ).
cnf(c_0_606,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_542]),
[final] ).
cnf(c_0_607,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_543]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_318]),c_0_47]),c_0_545]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_4,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_546,c_0_169]),
[final] ).
cnf(c_0_610,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_547,c_0_182]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_548]),c_0_40]),
[final] ).
cnf(c_0_612,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_549,c_0_318]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_329,c_0_318]),
[final] ).
cnf(c_0_614,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_116,c_0_318]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_550,c_0_455]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_551,c_0_455]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_169]),c_0_28])]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_552,c_0_28]),
[final] ).
cnf(c_0_619,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_553,c_0_263]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_62]),c_0_28])]),
[final] ).
cnf(c_0_621,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_39,c_0_555]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_166]),c_0_28])]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_557,c_0_193]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_335,c_0_62]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_137]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_558,c_0_193]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_273]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_496,c_0_559]),
[final] ).
cnf(c_0_629,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_496,c_0_193]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_560,c_0_455]),
[final] ).
cnf(c_0_632,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_392]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_561,c_0_28]),
[final] ).
cnf(c_0_634,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_340]),c_0_95]),
[final] ).
cnf(c_0_635,plain,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_562,c_0_62]),
[final] ).
cnf(c_0_636,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_459]),
[final] ).
cnf(c_0_637,plain,
( product(e_4,e_1,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_563,c_0_169]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_496,c_0_333]),
[final] ).
cnf(c_0_639,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_251]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_446,c_0_166]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_564]),c_0_66]),
[final] ).
cnf(c_0_642,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_201]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_265]),c_0_101]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_277]),c_0_66]),
[final] ).
cnf(c_0_645,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_72]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_180]),c_0_101]),
[final] ).
cnf(c_0_647,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_27,c_0_565]),
[final] ).
cnf(c_0_649,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_566]),
[final] ).
cnf(c_0_650,plain,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_193]),
[final] ).
cnf(c_0_651,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_567]),
[final] ).
cnf(c_0_652,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_27,c_0_440]),
[final] ).
cnf(c_0_653,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_27,c_0_568]),
[final] ).
cnf(c_0_654,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_569]),
[final] ).
cnf(c_0_655,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_37,c_0_297]),
[final] ).
cnf(c_0_656,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_570]),
[final] ).
cnf(c_0_657,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_570]),
[final] ).
cnf(c_0_658,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_571]),
[final] ).
cnf(c_0_659,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_571]),
[final] ).
cnf(c_0_660,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_515]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_477]),c_0_572]),
[final] ).
cnf(c_0_662,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_515]),
[final] ).
cnf(c_0_663,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_573]),
[final] ).
cnf(c_0_664,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_477,c_0_386]),
[final] ).
cnf(c_0_665,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_573]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_320]),c_0_50]),c_0_381]),c_0_407]),
[final] ).
cnf(c_0_667,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_306]),
[final] ).
cnf(c_0_668,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_306]),
[final] ).
cnf(c_0_669,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_575]),
[final] ).
cnf(c_0_670,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_575]),
[final] ).
cnf(c_0_671,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_576]),
[final] ).
cnf(c_0_672,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_576]),
[final] ).
cnf(c_0_673,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_577]),
[final] ).
cnf(c_0_674,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_577]),
[final] ).
cnf(c_0_675,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_578]),
[final] ).
cnf(c_0_676,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_578]),
[final] ).
cnf(c_0_677,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_579]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_580,c_0_320]),
[final] ).
cnf(c_0_679,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_579]),
[final] ).
cnf(c_0_680,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_581,c_0_519]),
[final] ).
cnf(c_0_681,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_582]),
[final] ).
cnf(c_0_682,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_166]),
[final] ).
cnf(c_0_683,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_582]),
[final] ).
cnf(c_0_684,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_166]),
[final] ).
cnf(c_0_685,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_583]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_403,c_0_320]),
[final] ).
cnf(c_0_687,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_583]),
[final] ).
cnf(c_0_688,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_465]),
[final] ).
cnf(c_0_689,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_465]),
[final] ).
cnf(c_0_690,plain,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_584,c_0_62]),
[final] ).
cnf(c_0_691,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_585,c_0_444]),
[final] ).
cnf(c_0_692,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_586]),
[final] ).
cnf(c_0_693,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_586]),
[final] ).
cnf(c_0_694,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_587]),
[final] ).
cnf(c_0_695,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_587]),
[final] ).
cnf(c_0_696,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_374]),
[final] ).
cnf(c_0_698,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_525,c_0_444]),
[final] ).
cnf(c_0_700,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_440]),
[final] ).
cnf(c_0_701,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_440]),
[final] ).
cnf(c_0_702,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_374]),
[final] ).
cnf(c_0_703,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_588]),
[final] ).
cnf(c_0_704,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_589,c_0_397]),
[final] ).
cnf(c_0_705,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_590]),
[final] ).
cnf(c_0_706,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_588]),
[final] ).
cnf(c_0_707,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_555]),
[final] ).
cnf(c_0_708,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_590]),
[final] ).
cnf(c_0_709,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_135]),
[final] ).
cnf(c_0_710,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_555]),
[final] ).
cnf(c_0_711,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_135]),
[final] ).
cnf(c_0_712,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_497]),
[final] ).
cnf(c_0_713,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_497]),
[final] ).
cnf(c_0_714,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_591]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_490]),c_0_28])]),
[final] ).
cnf(c_0_716,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_591]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_75]),c_0_28])]),
[final] ).
cnf(c_0_718,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_592]),
[final] ).
cnf(c_0_719,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_592]),
[final] ).
cnf(c_0_720,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_593]),
[final] ).
cnf(c_0_721,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_593]),
[final] ).
cnf(c_0_722,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_407]),
[final] ).
cnf(c_0_723,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_407]),
[final] ).
cnf(c_0_724,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_548]),
[final] ).
cnf(c_0_725,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_548]),
[final] ).
cnf(c_0_726,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_383]),
[final] ).
cnf(c_0_727,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_383]),
[final] ).
cnf(c_0_728,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_594]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product(e_2,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_536,c_0_383]),
[final] ).
cnf(c_0_730,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_594]),
[final] ).
cnf(c_0_731,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_595]),
[final] ).
cnf(c_0_732,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_492,c_0_237]),
[final] ).
cnf(c_0_733,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_595]),
[final] ).
cnf(c_0_734,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_530]),
[final] ).
cnf(c_0_735,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_530]),
[final] ).
cnf(c_0_736,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_596]),
[final] ).
cnf(c_0_737,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_596]),
[final] ).
cnf(c_0_738,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_532]),
[final] ).
cnf(c_0_739,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_532]),
[final] ).
cnf(c_0_740,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_318]),
[final] ).
cnf(c_0_741,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_597]),
[final] ).
cnf(c_0_742,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_318]),
[final] ).
cnf(c_0_743,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_597]),
[final] ).
cnf(c_0_744,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_320]),
[final] ).
cnf(c_0_745,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_320]),
[final] ).
cnf(c_0_746,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_598]),
[final] ).
cnf(c_0_747,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_598]),
[final] ).
cnf(c_0_748,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_434]),
[final] ).
cnf(c_0_749,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_434]),
[final] ).
cnf(c_0_750,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_599]),
[final] ).
cnf(c_0_751,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_599]),
[final] ).
cnf(c_0_752,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_293]),
[final] ).
cnf(c_0_753,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_293]),
[final] ).
cnf(c_0_754,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_495]),
[final] ).
cnf(c_0_755,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_495]),
[final] ).
cnf(c_0_756,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_435]),
[final] ).
cnf(c_0_757,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_435]),
[final] ).
cnf(c_0_758,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_75]),
[final] ).
cnf(c_0_759,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_600]),
[final] ).
cnf(c_0_760,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_75]),
[final] ).
cnf(c_0_761,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_600]),
[final] ).
cnf(c_0_762,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_237]),
[final] ).
cnf(c_0_763,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_490]),
[final] ).
cnf(c_0_764,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_237]),
[final] ).
cnf(c_0_765,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_490]),
[final] ).
cnf(c_0_766,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_250]),
[final] ).
cnf(c_0_767,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_250]),
[final] ).
cnf(c_0_768,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_193]),
[final] ).
cnf(c_0_769,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_193]),
[final] ).
cnf(c_0_770,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_240]),
[final] ).
cnf(c_0_771,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_240]),
[final] ).
cnf(c_0_772,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_233]),
[final] ).
cnf(c_0_773,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_233]),
[final] ).
cnf(c_0_774,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_297]),
[final] ).
cnf(c_0_775,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_601]),
[final] ).
cnf(c_0_776,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_601]),
[final] ).
cnf(c_0_777,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_297]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_602,c_0_62]),
[final] ).
cnf(c_0_779,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_415]),
[final] ).
cnf(c_0_780,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_273]),
[final] ).
cnf(c_0_781,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_415]),
[final] ).
cnf(c_0_782,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_94]),
[final] ).
cnf(c_0_783,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_603,c_0_62]),
[final] ).
cnf(c_0_784,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_604,c_0_62]),
[final] ).
cnf(c_0_785,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_605,c_0_62]),
[final] ).
cnf(c_0_786,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_94]),
[final] ).
cnf(c_0_787,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_606]),
[final] ).
cnf(c_0_788,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_606]),
[final] ).
cnf(c_0_789,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_565]),
[final] ).
cnf(c_0_790,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_565]),
[final] ).
cnf(c_0_791,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_607]),
[final] ).
cnf(c_0_792,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_607]),
[final] ).
cnf(c_0_793,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_483]),
[final] ).
cnf(c_0_794,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_483]),
[final] ).
cnf(c_0_795,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_566]),
[final] ).
cnf(c_0_796,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_37,c_0_608]),
[final] ).
cnf(c_0_797,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_265]),
[final] ).
cnf(c_0_798,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_566]),
[final] ).
cnf(c_0_799,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_389,c_0_383]),
[final] ).
cnf(c_0_800,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_265]),
[final] ).
cnf(c_0_801,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_53]),
[final] ).
cnf(c_0_802,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_4)
| ~ product(e_4,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_53]),
[final] ).
cnf(c_0_803,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_609]),
[final] ).
cnf(c_0_804,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_609]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_610,c_0_497]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_611,c_0_458]),c_0_28])]),
[final] ).
cnf(c_0_810,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_333]),
[final] ).
cnf(c_0_811,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_333]),
[final] ).
cnf(c_0_812,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_612]),
[final] ).
cnf(c_0_813,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_612]),
[final] ).
cnf(c_0_814,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_613]),
[final] ).
cnf(c_0_815,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_613]),
[final] ).
cnf(c_0_817,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_568]),
[final] ).
cnf(c_0_818,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_568]),
[final] ).
cnf(c_0_819,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_614]),
[final] ).
cnf(c_0_820,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_614]),
[final] ).
cnf(c_0_822,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_615]),
[final] ).
cnf(c_0_823,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_615]),
[final] ).
cnf(c_0_824,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_616]),
[final] ).
cnf(c_0_825,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_616]),
[final] ).
cnf(c_0_826,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_37,c_0_512]),
[final] ).
cnf(c_0_827,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_27,c_0_577]),
[final] ).
cnf(c_0_828,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_37,c_0_617]),
[final] ).
cnf(c_0_829,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_27,c_0_545]),
[final] ).
cnf(c_0_830,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_27,c_0_570]),
[final] ).
cnf(c_0_831,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_322]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_618,c_0_404]),
[final] ).
cnf(c_0_833,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_322]),
[final] ).
cnf(c_0_834,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_251]),
[final] ).
cnf(c_0_835,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_251]),
[final] ).
cnf(c_0_836,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_201]),
[final] ).
cnf(c_0_837,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_451,c_0_497]),
[final] ).
cnf(c_0_838,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_201]),
[final] ).
cnf(c_0_839,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_431]),
[final] ).
cnf(c_0_840,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_523]),
[final] ).
cnf(c_0_841,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_169]),
[final] ).
cnf(c_0_842,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_537]),
[final] ).
cnf(c_0_843,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_537]),
[final] ).
cnf(c_0_844,plain,
( equalish(X1,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_444]),
[final] ).
cnf(c_0_845,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_619]),
[final] ).
cnf(c_0_846,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_27,c_0_374]),
[final] ).
cnf(c_0_847,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_619]),
[final] ).
cnf(c_0_848,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_427]),
[final] ).
cnf(c_0_849,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_37,c_0_620]),
[final] ).
cnf(c_0_850,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_427]),
[final] ).
cnf(c_0_851,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_450]),
[final] ).
cnf(c_0_852,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_39,c_0_588]),
[final] ).
cnf(c_0_853,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_450]),
[final] ).
cnf(c_0_854,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_412]),
[final] ).
cnf(c_0_856,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_621]),
[final] ).
cnf(c_0_857,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_412]),
[final] ).
cnf(c_0_858,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_248]),
[final] ).
cnf(c_0_859,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_248]),
[final] ).
cnf(c_0_860,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_303]),
[final] ).
cnf(c_0_861,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_303]),
[final] ).
cnf(c_0_862,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_204]),
[final] ).
cnf(c_0_863,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_39,c_0_622]),
[final] ).
cnf(c_0_864,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_204]),
[final] ).
cnf(c_0_865,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_623]),
[final] ).
cnf(c_0_866,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_623]),
[final] ).
cnf(c_0_867,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_353]),
[final] ).
cnf(c_0_868,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_39,c_0_592]),
[final] ).
cnf(c_0_869,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_353]),
[final] ).
cnf(c_0_870,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_624]),
[final] ).
cnf(c_0_871,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_180]),
[final] ).
cnf(c_0_872,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_625,c_0_383]),
[final] ).
cnf(c_0_875,plain,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_407]),
[final] ).
cnf(c_0_876,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_624]),
[final] ).
cnf(c_0_877,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_626]),
[final] ).
cnf(c_0_878,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_626]),
[final] ).
cnf(c_0_879,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_627]),
[final] ).
cnf(c_0_880,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_627]),
[final] ).
cnf(c_0_881,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_180]),
[final] ).
cnf(c_0_882,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_402]),
[final] ).
cnf(c_0_884,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_402]),
[final] ).
cnf(c_0_885,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_569]),
[final] ).
cnf(c_0_886,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_569]),
[final] ).
cnf(c_0_887,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_27,c_0_595]),
[final] ).
cnf(c_0_888,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_39,c_0_628]),
[final] ).
cnf(c_0_889,plain,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_532]),
[final] ).
cnf(c_0_890,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_39,c_0_629]),
[final] ).
cnf(c_0_892,plain,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_455]),
[final] ).
cnf(c_0_893,plain,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_455]),
[final] ).
cnf(c_0_897,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_631]),c_0_47]),
[final] ).
cnf(c_0_898,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_310,c_0_51]),
[final] ).
cnf(c_0_899,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_39,c_0_599]),
[final] ).
cnf(c_0_900,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_632]),
[final] ).
cnf(c_0_901,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_392]),
[final] ).
cnf(c_0_902,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_172]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_633,c_0_340]),
[final] ).
cnf(c_0_904,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_503]),
[final] ).
cnf(c_0_905,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_172]),
[final] ).
cnf(c_0_906,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_71]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_634,c_0_71]),c_0_28])]),
[final] ).
cnf(c_0_908,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_71]),
[final] ).
cnf(c_0_909,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_503]),
[final] ).
cnf(c_0_910,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_72]),
[final] ).
cnf(c_0_911,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_72]),
[final] ).
cnf(c_0_912,plain,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_635]),
[final] ).
cnf(c_0_913,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_263]),
[final] ).
cnf(c_0_914,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_542]),
[final] ).
cnf(c_0_915,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_37,c_0_504]),
[final] ).
cnf(c_0_916,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_37,c_0_543]),
[final] ).
cnf(c_0_918,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_350]),
[final] ).
cnf(c_0_919,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_636]),
[final] ).
cnf(c_0_920,plain,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_637]),
[final] ).
cnf(c_0_921,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_39,c_0_250]),
[final] ).
cnf(c_0_922,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_90]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_319,c_0_404]),
[final] ).
cnf(c_0_924,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_90]),
[final] ).
cnf(c_0_925,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_39,c_0_638]),
[final] ).
cnf(c_0_926,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_639]),
[final] ).
cnf(c_0_927,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_27,c_0_344]),
[final] ).
cnf(c_0_928,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_39,c_0_640]),
[final] ).
cnf(c_0_929,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_27,c_0_640]),
[final] ).
cnf(c_0_930,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_564]),
[final] ).
cnf(c_0_931,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_641,c_0_28]),
[final] ).
cnf(c_0_932,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_642]),
[final] ).
cnf(c_0_933,plain,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_262]),
[final] ).
cnf(c_0_934,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_643,c_0_28]),
[final] ).
cnf(c_0_935,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_644,c_0_28]),
[final] ).
cnf(c_0_936,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_37,c_0_623]),
[final] ).
cnf(c_0_937,plain,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_162]),
[final] ).
cnf(c_0_938,plain,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_162]),
[final] ).
cnf(c_0_939,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_37,c_0_440]),
[final] ).
cnf(c_0_940,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_62]),
[final] ).
cnf(c_0_941,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_62]),
[final] ).
cnf(c_0_942,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_39,c_0_365]),
[final] ).
cnf(c_0_943,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_645]),
[final] ).
cnf(c_0_944,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_27,c_0_627]),
[final] ).
cnf(c_0_945,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_646,c_0_28]),
[final] ).
cnf(c_0_947,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_569]),
[final] ).
cnf(c_0_948,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_569]),c_0_101]),
[final] ).
cnf(c_0_949,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_322]),
[final] ).
cnf(c_0_950,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_322]),
[final] ).
cnf(c_0_951,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_337]),
[final] ).
cnf(c_0_952,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_337]),
[final] ).
cnf(c_0_953,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_337]),c_0_33]),
[final] ).
cnf(c_0_954,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_172]),
[final] ).
cnf(c_0_955,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_172]),
[final] ).
cnf(c_0_956,plain,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_320]),
[final] ).
cnf(c_0_958,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_648,c_0_53]),c_0_397]),c_0_158]),c_0_524]),
[final] ).
cnf(c_0_960,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_637]),
[final] ).
cnf(c_0_962,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_37,c_0_571]),
[final] ).
cnf(c_0_964,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_39,c_0_609]),
[final] ).
cnf(c_0_966,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_567]),
[final] ).
cnf(c_0_968,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_233]),
[final] ).
cnf(c_0_970,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_39,c_0_204]),
[final] ).
cnf(c_0_973,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_628]),c_0_415]),
[final] ).
cnf(c_0_974,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_657,c_0_628]),c_0_415]),
[final] ).
cnf(c_0_975,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_515]),c_0_435]),
[final] ).
cnf(c_0_976,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_658,c_0_169]),c_0_583]),
[final] ).
cnf(c_0_977,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_515]),c_0_435]),
[final] ).
cnf(c_0_978,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_578]),
[final] ).
cnf(c_0_979,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_662,c_0_661]),c_0_578]),
[final] ).
cnf(c_0_980,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_383]),c_0_404]),
[final] ).
cnf(c_0_981,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_237]),c_0_591]),
[final] ).
cnf(c_0_982,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_664]),c_0_555]),
[final] ).
cnf(c_0_983,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_383]),c_0_404]),
[final] ).
cnf(c_0_984,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_237]),c_0_591]),
[final] ).
cnf(c_0_985,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_665,c_0_664]),c_0_555]),
[final] ).
cnf(c_0_986,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_608]),
[final] ).
cnf(c_0_987,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_608]),
[final] ).
cnf(c_0_988,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_666]),
[final] ).
cnf(c_0_989,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_666]),
[final] ).
cnf(c_0_990,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_495]),c_0_598]),
[final] ).
cnf(c_0_991,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_273]),c_0_599]),
[final] ).
cnf(c_0_992,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_667,c_0_94]),c_0_340]),
[final] ).
cnf(c_0_993,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_495]),c_0_598]),
[final] ).
cnf(c_0_994,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_273]),c_0_599]),
[final] ).
cnf(c_0_995,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_94]),c_0_340]),
[final] ).
cnf(c_0_996,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_669,c_0_429]),
[final] ).
cnf(c_0_997,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_670,c_0_429]),
[final] ).
cnf(c_0_998,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_671,c_0_578]),
[final] ).
cnf(c_0_999,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_672,c_0_578]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_512]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_512]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_673,c_0_592]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_592]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_675,c_0_548]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_676,c_0_548]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_617]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_617]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_545]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_545]),
[final] ).
cnf(c_0_1010,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_677,c_0_678]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_679,c_0_678]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_680]),
[final] ).
cnf(c_0_1013,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_680]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_681,c_0_588]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_628]),c_0_392]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_564]),c_0_226]),
[final] ).
cnf(c_0_1017,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_683,c_0_588]),
[final] ).
cnf(c_0_1018,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_628]),c_0_392]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_564]),c_0_226]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_685,c_0_686]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_687,c_0_686]),
[final] ).
cnf(c_0_1022,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_688,c_0_577]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_689,c_0_577]),
[final] ).
cnf(c_0_1024,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_431]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_431]),
[final] ).
cnf(c_0_1026,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_690]),
[final] ).
cnf(c_0_1027,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_690]),
[final] ).
cnf(c_0_1028,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_691]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_691]),
[final] ).
cnf(c_0_1030,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_692,c_0_435]),
[final] ).
cnf(c_0_1031,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_693,c_0_435]),
[final] ).
cnf(c_0_1032,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_523]),
[final] ).
cnf(c_0_1033,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_523]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_694,c_0_591]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_695,c_0_591]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_696,c_0_434]),
[final] ).
cnf(c_0_1037,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_698]),c_0_467]),c_0_519]),c_0_328]),
[final] ).
cnf(c_0_1038,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_698]),c_0_467]),c_0_519]),c_0_328]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_698]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_698]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_429]),c_0_597]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_429]),c_0_597]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_702,c_0_434]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_703,c_0_704]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_591]),c_0_627]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_706,c_0_704]),
[final] ).
cnf(c_0_1047,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_707,c_0_404]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_591]),c_0_627]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_429]),c_0_627]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_710,c_0_404]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_429]),c_0_627]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_712,c_0_587]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_444]),
[final] ).
cnf(c_0_1054,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_444]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_424]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_713,c_0_587]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_424]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_714,c_0_497]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_715]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_715]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_716,c_0_497]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_717]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_717]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_718,c_0_465]),
[final] ).
cnf(c_0_1065,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_719,c_0_465]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_620]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_620]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_720,c_0_320]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_721,c_0_320]),
[final] ).
cnf(c_0_1070,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_722,c_0_593]),
[final] ).
cnf(c_0_1071,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_723,c_0_593]),
[final] ).
cnf(c_0_1072,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_724,c_0_576]),
[final] ).
cnf(c_0_1073,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_725,c_0_576]),
[final] ).
cnf(c_0_1074,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_726,c_0_617]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_727,c_0_617]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_527]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_527]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_728,c_0_729]),
[final] ).
cnf(c_0_1079,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_730,c_0_729]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_622]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_622]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_731,c_0_732]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_733,c_0_732]),
[final] ).
cnf(c_0_1084,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_734,c_0_297]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_735,c_0_297]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_736,c_0_590]),
[final] ).
cnf(c_0_1087,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_737,c_0_590]),
[final] ).
cnf(c_0_1088,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_738,c_0_595]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_429]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_429]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_739,c_0_595]),
[final] ).
cnf(c_0_1092,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_740,c_0_545]),
[final] ).
cnf(c_0_1093,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_404]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_404]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_75]),c_0_587]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_62]),c_0_575]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_742,c_0_545]),
[final] ).
cnf(c_0_1098,negated_conjecture,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_75]),c_0_587]),
[final] ).
cnf(c_0_1099,negated_conjecture,
( equalish(X1,e_1)
| product(e_1,e_4,e_2)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_62]),c_0_575]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_744,c_0_407]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_745,c_0_407]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_746,c_0_374]),
[final] ).
cnf(c_0_1103,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_374]),
[final] ).
cnf(c_0_1104,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_748,c_0_598]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_749,c_0_598]),
[final] ).
cnf(c_0_1106,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_750,c_0_340]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_751,c_0_340]),
[final] ).
cnf(c_0_1108,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_752,c_0_715]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_753,c_0_715]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_754,c_0_620]),
[final] ).
cnf(c_0_1111,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_664]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_664]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_755,c_0_620]),
[final] ).
cnf(c_0_1114,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_704]),
[final] ).
cnf(c_0_1115,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_756,c_0_250]),
[final] ).
cnf(c_0_1116,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_704]),
[final] ).
cnf(c_0_1117,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_757,c_0_250]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_758,c_0_90]),c_0_297]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_759,c_0_530]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_90]),c_0_297]),
[final] ).
cnf(c_0_1121,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_761,c_0_530]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_762,c_0_527]),
[final] ).
cnf(c_0_1123,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_227]),c_0_523]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_764,c_0_527]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_765,c_0_227]),c_0_523]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_766,c_0_586]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_767,c_0_586]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_582]),c_0_397]),c_0_158]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_768,c_0_717]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_769,c_0_717]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_770,c_0_567]),
[final] ).
cnf(c_0_1132,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_771,c_0_567]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_772,c_0_240]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_773,c_0_240]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_774,c_0_600]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_775,c_0_277]),
[final] ).
cnf(c_0_1137,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_776,c_0_277]),
[final] ).
cnf(c_0_1138,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_537]),
[final] ).
cnf(c_0_1139,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_537]),
[final] ).
cnf(c_0_1140,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_777,c_0_600]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_778]),
[final] ).
cnf(c_0_1142,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_778]),
[final] ).
cnf(c_0_1143,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_482]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_482]),
[final] ).
cnf(c_0_1145,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_779,c_0_482]),
[final] ).
cnf(c_0_1146,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_780,c_0_135]),
[final] ).
cnf(c_0_1147,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_781,c_0_482]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_392]),
[final] ).
cnf(c_0_1149,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_392]),
[final] ).
cnf(c_0_1150,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_782,c_0_440]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_783]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_783]),
[final] ).
cnf(c_0_1153,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_784]),
[final] ).
cnf(c_0_1154,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_784]),
[final] ).
cnf(c_0_1155,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_785]),
[final] ).
cnf(c_0_1156,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_785]),
[final] ).
cnf(c_0_1157,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_635]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_4,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_635]),
[final] ).
cnf(c_0_1159,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_786,c_0_440]),
[final] ).
cnf(c_0_1160,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_787,c_0_459]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_788,c_0_459]),
[final] ).
cnf(c_0_1162,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_789,c_0_619]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_790,c_0_619]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_791,c_0_450]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_792,c_0_450]),
[final] ).
cnf(c_0_1166,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_542]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_542]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_504]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_504]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_543]),
[final] ).
cnf(c_0_1171,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_543]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_793,c_0_303]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_794,c_0_303]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_729]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_484]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_484]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_485]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_485]),
[final] ).
cnf(c_0_1179,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_729]),
[final] ).
cnf(c_0_1180,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_458]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_458]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_637]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_637]),
[final] ).
cnf(c_0_1184,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_795,c_0_573]),
[final] ).
cnf(c_0_1185,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_39,c_0_608]),
[final] ).
cnf(c_0_1186,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_27,c_0_608]),
[final] ).
cnf(c_0_1187,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_796]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_608]),c_0_50]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_450]),c_0_478]),
[final] ).
cnf(c_0_1190,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_798,c_0_573]),
[final] ).
cnf(c_0_1191,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_405]),
[final] ).
cnf(c_0_1192,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_405]),
[final] ).
cnf(c_0_1193,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_799]),
[final] ).
cnf(c_0_1194,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_799]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_800,c_0_450]),c_0_478]),
[final] ).
cnf(c_0_1196,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_227]),c_0_586]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_801,c_0_137]),c_0_170]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_488]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_488]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_227]),c_0_586]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_137]),c_0_170]),
[final] ).
cnf(c_0_1202,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_803,c_0_334]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_804,c_0_334]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_515]),c_0_358]),c_0_381]),c_0_806]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_807,c_0_303]),c_0_398]),c_0_808]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_368]),
[final] ).
cnf(c_0_1207,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_368]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_809,c_0_303]),c_0_398]),c_0_808]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_638]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_638]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_628]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_628]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_661]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_661]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_810,c_0_484]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_811,c_0_484]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_812,c_0_483]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_813,c_0_483]),
[final] ).
cnf(c_0_1219,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_814,c_0_353]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_815,c_0_353]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_201]),c_0_386]),c_0_664]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_817,c_0_569]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_818,c_0_569]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_819,c_0_180]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_820,c_0_180]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_559]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_559]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_201]),c_0_386]),c_0_664]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_629]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_629]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_822,c_0_799]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_823,c_0_799]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_824,c_0_571]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_825,c_0_571]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_631]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_631]),
[final] ).
cnf(c_0_1237,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_455]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_455]),
[final] ).
cnf(c_0_1239,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_39,c_0_666]),
[final] ).
cnf(c_0_1240,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_27,c_0_666]),
[final] ).
cnf(c_0_1241,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_37,c_0_666]),
[final] ).
cnf(c_0_1242,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_39,c_0_575]),
[final] ).
cnf(c_0_1243,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_27,c_0_575]),
[final] ).
cnf(c_0_1244,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_37,c_0_575]),
[final] ).
cnf(c_0_1245,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_39,c_0_576]),
[final] ).
cnf(c_0_1246,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_27,c_0_576]),
[final] ).
cnf(c_0_1247,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_37,c_0_576]),
[final] ).
cnf(c_0_1248,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_39,c_0_512]),
[final] ).
cnf(c_0_1249,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_27,c_0_512]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_686]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_686]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_826]),
[final] ).
cnf(c_0_1253,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_39,c_0_577]),
[final] ).
cnf(c_0_1254,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_95,c_0_827]),
[final] ).
cnf(c_0_1255,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_37,c_0_577]),
[final] ).
cnf(c_0_1256,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_39,c_0_578]),
[final] ).
cnf(c_0_1257,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_27,c_0_578]),
[final] ).
cnf(c_0_1258,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_37,c_0_578]),
[final] ).
cnf(c_0_1259,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_39,c_0_617]),
[final] ).
cnf(c_0_1260,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_27,c_0_617]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_828]),
[final] ).
cnf(c_0_1262,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_39,c_0_545]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_829]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_678]),
[final] ).
cnf(c_0_1265,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_37,c_0_545]),
[final] ).
cnf(c_0_1266,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_39,c_0_570]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_678]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_830]),
[final] ).
cnf(c_0_1269,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_37,c_0_570]),
[final] ).
cnf(c_0_1270,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_39,c_0_579]),
[final] ).
cnf(c_0_1271,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_27,c_0_579]),
[final] ).
cnf(c_0_1272,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_37,c_0_579]),
[final] ).
cnf(c_0_1273,plain,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_680]),
[final] ).
cnf(c_0_1274,plain,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_680]),
[final] ).
cnf(c_0_1275,plain,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_680]),
[final] ).
cnf(c_0_1276,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_582]),
[final] ).
cnf(c_0_1277,plain,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_582]),
[final] ).
cnf(c_0_1278,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_582]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_334]),
[final] ).
cnf(c_0_1280,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_583]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_334]),
[final] ).
cnf(c_0_1282,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_583]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_573]),c_0_832]),
[final] ).
cnf(c_0_1284,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_583]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_833,c_0_573]),c_0_832]),
[final] ).
cnf(c_0_1286,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_39,c_0_465]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_573]),c_0_806]),
[final] ).
cnf(c_0_1288,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_27,c_0_465]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_835,c_0_573]),c_0_806]),
[final] ).
cnf(c_0_1290,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_37,c_0_465]),
[final] ).
cnf(c_0_1291,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_836,c_0_573]),c_0_837]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_838,c_0_573]),c_0_837]),
[final] ).
cnf(c_0_1293,plain,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_839]),
[final] ).
cnf(c_0_1294,plain,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_431]),
[final] ).
cnf(c_0_1295,plain,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_431]),
[final] ).
cnf(c_0_1296,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_690]),
[final] ).
cnf(c_0_1297,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_690]),
[final] ).
cnf(c_0_1298,plain,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_690]),
[final] ).
cnf(c_0_1299,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_39,c_0_691]),
[final] ).
cnf(c_0_1300,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_27,c_0_691]),
[final] ).
cnf(c_0_1301,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_37,c_0_691]),
[final] ).
cnf(c_0_1302,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_586]),
[final] ).
cnf(c_0_1303,plain,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_586]),
[final] ).
cnf(c_0_1304,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_586]),
[final] ).
cnf(c_0_1305,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_523]),
[final] ).
cnf(c_0_1306,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_523]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_666]),c_0_44]),
[final] ).
cnf(c_0_1308,plain,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_840]),
[final] ).
cnf(c_0_1309,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_698]),
[final] ).
cnf(c_0_1310,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_698]),
[final] ).
cnf(c_0_1311,plain,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_601]),
[final] ).
cnf(c_0_1312,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_601]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_1,e_2)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_289]),c_0_488]),
[final] ).
cnf(c_0_1314,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_601]),
[final] ).
cnf(c_0_1315,plain,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_537]),
[final] ).
cnf(c_0_1316,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_289]),
[final] ).
cnf(c_0_1317,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_842]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_289]),
[final] ).
cnf(c_0_1319,plain,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_843]),
[final] ).
cnf(c_0_1320,plain,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_698]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_640]),
[final] ).
cnf(c_0_1322,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_39,c_0_587]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_640]),
[final] ).
cnf(c_0_1324,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_27,c_0_587]),
[final] ).
cnf(c_0_1325,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_37,c_0_587]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_601]),c_0_101]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_537]),c_0_33]),
[final] ).
cnf(c_0_1328,plain,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_444]),
[final] ).
cnf(c_0_1329,plain,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_844]),
[final] ).
cnf(c_0_1330,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_424]),
[final] ).
cnf(c_0_1331,plain,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_424]),
[final] ).
cnf(c_0_1332,plain,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_424]),
[final] ).
cnf(c_0_1333,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_39,c_0_715]),
[final] ).
cnf(c_0_1334,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_27,c_0_715]),
[final] ).
cnf(c_0_1335,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_37,c_0_715]),
[final] ).
cnf(c_0_1336,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_39,c_0_374]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_845,c_0_623]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_846]),
[final] ).
cnf(c_0_1339,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_37,c_0_374]),
[final] ).
cnf(c_0_1340,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_39,c_0_717]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_1,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_847,c_0_623]),
[final] ).
cnf(c_0_1342,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_27,c_0_717]),
[final] ).
cnf(c_0_1343,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_37,c_0_717]),
[final] ).
cnf(c_0_1344,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_39,c_0_620]),
[final] ).
cnf(c_0_1345,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_27,c_0_620]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_848,c_0_626]),
[final] ).
cnf(c_0_1347,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_849]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_850,c_0_626]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_564]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_564]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_851,c_0_204]),
[final] ).
cnf(c_0_1352,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_852]),
[final] ).
cnf(c_0_1353,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_27,c_0_588]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_853,c_0_204]),
[final] ).
cnf(c_0_1355,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_37,c_0_588]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_854,c_0_613]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_855,c_0_169]),c_0_381]),c_0_358]),c_0_856]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_857,c_0_613]),
[final] ).
cnf(c_0_1359,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_27,c_0_555]),
[final] ).
cnf(c_0_1360,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_37,c_0_555]),
[final] ).
cnf(c_0_1361,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_39,c_0_497]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_858,c_0_568]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( equalish(X1,e_4)
| product(e_4,e_1,e_2)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_169]),c_0_381]),c_0_358]),c_0_566]),
[final] ).
cnf(c_0_1364,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_27,c_0_497]),
[final] ).
cnf(c_0_1365,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_37,c_0_497]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_859,c_0_568]),
[final] ).
cnf(c_0_1367,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_39,c_0_591]),
[final] ).
cnf(c_0_1368,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_27,c_0_591]),
[final] ).
cnf(c_0_1369,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_860,c_0_612]),
[final] ).
cnf(c_0_1370,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_37,c_0_591]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_346]),
[final] ).
cnf(c_0_1372,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_39,c_0_527]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_2,e_1,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_346]),
[final] ).
cnf(c_0_1374,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_27,c_0_527]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_861,c_0_612]),
[final] ).
cnf(c_0_1376,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_37,c_0_527]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_607]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_863]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_503]),
[final] ).
cnf(c_0_1380,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_27,c_0_622]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_503]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_864,c_0_607]),
[final] ).
cnf(c_0_1383,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_37,c_0_622]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_865,c_0_565]),
[final] ).
cnf(c_0_1385,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_459]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_575]),c_0_44]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_459]),
[final] ).
cnf(c_0_1388,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_27,c_0_429]),
[final] ).
cnf(c_0_1389,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_1,e_3)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_866,c_0_565]),
[final] ).
cnf(c_0_1390,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_37,c_0_429]),
[final] ).
cnf(c_0_1391,plain,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_404]),
[final] ).
cnf(c_0_1392,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_404]),
[final] ).
cnf(c_0_1393,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_404]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_867,c_0_412]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_277]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_2,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_277]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_868]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_869,c_0_412]),
[final] ).
cnf(c_0_1399,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_27,c_0_592]),
[final] ).
cnf(c_0_1400,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_37,c_0_592]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_593]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_593]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_870,c_0_306]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_593]),
[final] ).
cnf(c_0_1405,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_407]),
[final] ).
cnf(c_0_1406,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_407]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_303]),c_0_872]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_450]),c_0_398]),c_0_297]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_874,c_0_450]),c_0_398]),c_0_297]),
[final] ).
cnf(c_0_1410,plain,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_40,c_0_875]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_876,c_0_306]),
[final] ).
cnf(c_0_1412,plain,
( equalish(X1,e_3)
| product(e_3,e_1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_664]),
[final] ).
cnf(c_0_1413,plain,
( equalish(X1,e_1)
| product(e_3,e_1,e_2)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_664]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_877,c_0_402]),
[final] ).
cnf(c_0_1415,plain,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_664]),
[final] ).
cnf(c_0_1416,plain,
( equalish(X1,e_2)
| product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_704]),
[final] ).
cnf(c_0_1417,plain,
( equalish(X1,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_704]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_263]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_878,c_0_402]),
[final] ).
cnf(c_0_1420,plain,
( equalish(X1,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_704]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_3,e_2,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_263]),
[final] ).
cnf(c_0_1422,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_39,c_0_548]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_879,c_0_597]),
[final] ).
cnf(c_0_1424,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_27,c_0_548]),
[final] ).
cnf(c_0_1425,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_37,c_0_548]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_880,c_0_597]),
[final] ).
cnf(c_0_1427,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_39,c_0_729]),
[final] ).
cnf(c_0_1428,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_27,c_0_729]),
[final] ).
cnf(c_0_1429,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_37,c_0_729]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_303]),c_0_872]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_882,c_0_427]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_576]),c_0_101]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_512]),c_0_33]),
[final] ).
cnf(c_0_1434,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_54,c_0_883]),c_0_398]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_884,c_0_427]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_71]),
[final] ).
cnf(c_0_1437,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_27,c_0_405]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_732]),
[final] ).
cnf(c_0_1439,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_37,c_0_405]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_732]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_885,c_0_248]),
[final] ).
cnf(c_0_1442,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_515]),
[final] ).
cnf(c_0_1443,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_515]),
[final] ).
cnf(c_0_1444,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_515]),
[final] ).
cnf(c_0_1445,plain,
( equalish(X1,e_3)
| product(e_2,e_1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_383]),
[final] ).
cnf(c_0_1446,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_886,c_0_248]),
[final] ).
cnf(c_0_1447,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_383]),
[final] ).
cnf(c_0_1448,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_383]),
[final] ).
cnf(c_0_1449,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_39,c_0_594]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_577]),c_0_101]),
[final] ).
cnf(c_0_1451,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_27,c_0_594]),
[final] ).
cnf(c_0_1452,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_37,c_0_594]),
[final] ).
cnf(c_0_1453,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_39,c_0_595]),
[final] ).
cnf(c_0_1454,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_472]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_578]),c_0_66]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_617]),c_0_50]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_472]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_887]),
[final] ).
cnf(c_0_1459,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_37,c_0_595]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_545]),c_0_33]),
[final] ).
cnf(c_0_1461,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_570]),c_0_101]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_579]),c_0_50]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_680]),c_0_59]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_582]),c_0_33]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_583]),c_0_50]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_265]),c_0_28])]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_431]),c_0_59]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_888]),
[final] ).
cnf(c_0_1469,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_27,c_0_628]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_690]),c_0_44]),
[final] ).
cnf(c_0_1471,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_37,c_0_628]),
[final] ).
cnf(c_0_1472,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_39,c_0_530]),
[final] ).
cnf(c_0_1473,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_27,c_0_530]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_691]),c_0_33]),
[final] ).
cnf(c_0_1475,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_37,c_0_530]),
[final] ).
cnf(c_0_1476,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_39,c_0_596]),
[final] ).
cnf(c_0_1477,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_27,c_0_596]),
[final] ).
cnf(c_0_1478,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_37,c_0_596]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_586]),c_0_101]),
[final] ).
cnf(c_0_1480,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_532]),
[final] ).
cnf(c_0_1481,plain,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_889]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_523]),c_0_33]),
[final] ).
cnf(c_0_1483,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_532]),
[final] ).
cnf(c_0_1484,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_559]),
[final] ).
cnf(c_0_1485,plain,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_559]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_698]),c_0_33]),
[final] ).
cnf(c_0_1487,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_559]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_587]),c_0_101]),
[final] ).
cnf(c_0_1489,plain,
( equalish(X1,e_4)
| product(e_4,e_2,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_318]),
[final] ).
cnf(c_0_1490,plain,
( equalish(X1,e_3)
| product(e_4,e_2,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_318]),
[final] ).
cnf(c_0_1491,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_318]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_444]),c_0_44]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_424]),c_0_101]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_890]),
[final] ).
cnf(c_0_1495,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_27,c_0_629]),
[final] ).
cnf(c_0_1496,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_37,c_0_629]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_715]),c_0_33]),
[final] ).
cnf(c_0_1498,plain,
( equalish(X1,e_4)
| product(e_3,e_1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_455]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_402]),c_0_253]),c_0_275]),c_0_591]),
[final] ).
cnf(c_0_1500,plain,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_892]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_891,c_0_265]),c_0_253]),c_0_275]),c_0_317]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_374]),c_0_101]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_717]),c_0_101]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_182]),
[final] ).
cnf(c_0_1505,plain,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_893]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_686]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_182]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_620]),c_0_44]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_588]),c_0_59]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_555]),c_0_47]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_497]),c_0_66]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_591]),c_0_40]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_686]),
[final] ).
cnf(c_0_1514,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_527]),c_0_50]),
[final] ).
cnf(c_0_1515,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_622]),c_0_59]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_894,c_0_402]),c_0_253]),c_0_275]),c_0_591]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_894,c_0_265]),c_0_253]),c_0_275]),c_0_317]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_429]),c_0_95]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_404]),c_0_76]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_592]),c_0_40]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_593]),c_0_47]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_407]),c_0_50]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_664]),c_0_47]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_704]),c_0_54]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_729]),c_0_76]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_686]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_405]),c_0_125]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_895,c_0_353]),c_0_480]),c_0_332]),c_0_434]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_515]),c_0_50]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_454,c_0_617]),
[final] ).
cnf(c_0_1531,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_39,c_0_678]),
[final] ).
cnf(c_0_1532,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_27,c_0_678]),
[final] ).
cnf(c_0_1533,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_37,c_0_678]),
[final] ).
cnf(c_0_1534,plain,
( equalish(X1,e_1)
| product(e_2,e_1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_320]),
[final] ).
cnf(c_0_1535,plain,
( equalish(X1,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_320]),
[final] ).
cnf(c_0_1536,plain,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_289]),
[final] ).
cnf(c_0_1537,plain,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_289]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_595]),c_0_66]),
[final] ).
cnf(c_0_1539,plain,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_289]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_628]),c_0_66]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_530]),c_0_66]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(e_4,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_353]),c_0_480]),c_0_332]),c_0_434]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_596]),c_0_66]),
[final] ).
cnf(c_0_1544,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_39,c_0_598]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_532]),c_0_101]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_559]),c_0_66]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_897,c_0_94]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_898,c_0_570]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_629]),c_0_47]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_455]),c_0_50]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_686]),c_0_76]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_678]),c_0_76]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_320]),c_0_76]),
[final] ).
cnf(c_0_1554,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_27,c_0_598]),
[final] ).
cnf(c_0_1555,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_37,c_0_598]),
[final] ).
cnf(c_0_1556,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_39,c_0_434]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_289]),c_0_47]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_598]),c_0_40]),
[final] ).
cnf(c_0_1559,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_37,c_0_434]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_434]),c_0_66]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_599]),c_0_125]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_899]),
[final] ).
cnf(c_0_1563,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_27,c_0_599]),
[final] ).
cnf(c_0_1564,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_37,c_0_599]),
[final] ).
cnf(c_0_1565,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_293]),
[final] ).
cnf(c_0_1566,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_39,c_0_778]),
[final] ).
cnf(c_0_1567,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_27,c_0_778]),
[final] ).
cnf(c_0_1568,plain,
( equalish(X1,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_293]),
[final] ).
cnf(c_0_1569,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_37,c_0_778]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_778]),c_0_44]),
[final] ).
cnf(c_0_1571,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_39,c_0_482]),
[final] ).
cnf(c_0_1572,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_37,c_0_482]),
[final] ).
cnf(c_0_1573,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_39,c_0_415]),
[final] ).
cnf(c_0_1574,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_27,c_0_415]),
[final] ).
cnf(c_0_1575,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_37,c_0_415]),
[final] ).
cnf(c_0_1576,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_900,c_0_51]),
[final] ).
cnf(c_0_1577,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_901]),
[final] ).
cnf(c_0_1578,plain,
( equalish(X1,e_3)
| product(e_3,e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_495]),
[final] ).
cnf(c_0_1579,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_495]),
[final] ).
cnf(c_0_1580,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_392]),
[final] ).
cnf(c_0_1581,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_39,c_0_783]),
[final] ).
cnf(c_0_1582,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_495]),
[final] ).
cnf(c_0_1583,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_27,c_0_783]),
[final] ).
cnf(c_0_1584,plain,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_435]),
[final] ).
cnf(c_0_1585,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_37,c_0_783]),
[final] ).
cnf(c_0_1586,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_39,c_0_784]),
[final] ).
cnf(c_0_1587,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_27,c_0_784]),
[final] ).
cnf(c_0_1588,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_37,c_0_784]),
[final] ).
cnf(c_0_1589,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_435]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_482]),c_0_101]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_265]),c_0_28])]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_392]),c_0_59]),
[final] ).
cnf(c_0_1593,plain,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_346]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_340]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_340]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_902,c_0_306]),c_0_903]),
[final] ).
cnf(c_0_1597,plain,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_904]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_905,c_0_306]),c_0_903]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_906,c_0_306]),c_0_907]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_908,c_0_306]),c_0_907]),
[final] ).
cnf(c_0_1601,plain,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_909]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_306]),c_0_535]),
[final] ).
cnf(c_0_1603,plain,
( equalish(X1,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_503]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_911,c_0_306]),c_0_535]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_785]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_785]),
[final] ).
cnf(c_0_1607,plain,
( equalish(X1,e_1)
| product(e_4,e_2,e_3)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_263]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_785]),
[final] ).
cnf(c_0_1609,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_635]),
[final] ).
cnf(c_0_1610,plain,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_912]),
[final] ).
cnf(c_0_1611,plain,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_635]),
[final] ).
cnf(c_0_1612,plain,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_606]),
[final] ).
cnf(c_0_1613,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_606]),
[final] ).
cnf(c_0_1614,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_606]),
[final] ).
cnf(c_0_1615,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_39,c_0_565]),
[final] ).
cnf(c_0_1616,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_37,c_0_565]),
[final] ).
cnf(c_0_1617,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_39,c_0_607]),
[final] ).
cnf(c_0_1618,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_27,c_0_607]),
[final] ).
cnf(c_0_1619,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_37,c_0_607]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_567]),
[final] ).
cnf(c_0_1621,plain,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_125,c_0_913]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_1,e_4,X2)
| ~ product(e_2,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_567]),
[final] ).
cnf(c_0_1623,plain,
( equalish(X1,e_1)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_542]),
[final] ).
cnf(c_0_1624,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_542]),
[final] ).
cnf(c_0_1625,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_39,c_0_732]),
[final] ).
cnf(c_0_1626,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_914]),
[final] ).
cnf(c_0_1627,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_27,c_0_732]),
[final] ).
cnf(c_0_1628,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_39,c_0_504]),
[final] ).
cnf(c_0_1629,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_37,c_0_732]),
[final] ).
cnf(c_0_1630,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_27,c_0_504]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_915]),
[final] ).
cnf(c_0_1632,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_39,c_0_600]),
[final] ).
cnf(c_0_1633,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_27,c_0_600]),
[final] ).
cnf(c_0_1634,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_37,c_0_600]),
[final] ).
cnf(c_0_1635,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_39,c_0_543]),
[final] ).
cnf(c_0_1636,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_27,c_0_543]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_916]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_783]),c_0_44]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_344]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_344]),
[final] ).
cnf(c_0_1641,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_39,c_0_483]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_510,c_0_233]),c_0_150]),c_0_381]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_233]),c_0_150]),c_0_381]),
[final] ).
cnf(c_0_1644,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_37,c_0_483]),
[final] ).
cnf(c_0_1645,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_39,c_0_484]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_784]),c_0_44]),
[final] ).
cnf(c_0_1647,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_37,c_0_484]),
[final] ).
cnf(c_0_1648,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_27,c_0_472]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_284]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_485]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_785]),c_0_44]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_284]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_635]),c_0_44]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_606]),c_0_101]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( equalish(X1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_162]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_162]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_365]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_565]),c_0_101]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_365]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_607]),c_0_101]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_400]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_485]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_400]),
[final] ).
cnf(c_0_1664,plain,
( equalish(X1,e_1)
| ~ product(e_4,e_3,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_458]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_227]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_227]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_137]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_542]),c_0_33]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_4,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_137]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_504]),c_0_33]),
[final] ).
cnf(c_0_1671,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_543]),c_0_33]),
[final] ).
cnf(c_0_1672,plain,
( equalish(X1,e_3)
| ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_458]),
[final] ).
cnf(c_0_1673,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_483]),c_0_101]),
[final] ).
cnf(c_0_1674,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_484]),c_0_101]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_485]),c_0_101]),
[final] ).
cnf(c_0_1676,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_458]),c_0_101]),
[final] ).
cnf(c_0_1677,plain,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_410,c_0_458]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_918,c_0_620]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_435]),c_0_66]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_346]),c_0_50]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_503]),c_0_59]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_263]),c_0_101]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_732]),c_0_40]),
[final] ).
cnf(c_0_1684,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_600]),c_0_40]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_231,c_0_497]),
[final] ).
cnf(c_0_1686,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_497]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( equalish(X1,e_1)
| product(e_1,e_3,e_2)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_490]),c_0_397]),c_0_158]),c_0_337]),
[final] ).
cnf(c_0_1688,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_472]),c_0_125]),
[final] ).
cnf(c_0_1689,negated_conjecture,
( equalish(X1,e_1)
| product(e_1,e_2,e_4)
| ~ product(e_2,X2,X1)
| ~ product(X1,X2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_53]),c_0_397]),c_0_158]),c_0_402]),
[final] ).
cnf(c_0_1690,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_250]),c_0_40]),
[final] ).
cnf(c_0_1691,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_37,c_0_472]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_567]),c_0_95]),
[final] ).
cnf(c_0_1693,plain,
( equalish(X1,e_3)
| product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_237]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_240]),c_0_125]),
[final] ).
cnf(c_0_1695,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_237]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_344]),c_0_59]),
[final] ).
cnf(c_0_1697,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_233]),c_0_44]),
[final] ).
cnf(c_0_1698,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_237]),
[final] ).
cnf(c_0_1699,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_637]),
[final] ).
cnf(c_0_1700,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_920]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_273]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_921]),
[final] ).
cnf(c_0_1703,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_27,c_0_250]),
[final] ).
cnf(c_0_1704,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_37,c_0_250]),
[final] ).
cnf(c_0_1705,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_566]),
[final] ).
cnf(c_0_1706,plain,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_566]),
[final] ).
cnf(c_0_1707,plain,
( equalish(X1,e_4)
| product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_193]),
[final] ).
cnf(c_0_1708,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_39,c_0_799]),
[final] ).
cnf(c_0_1709,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_27,c_0_799]),
[final] ).
cnf(c_0_1710,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_37,c_0_799]),
[final] ).
cnf(c_0_1711,plain,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_54,c_0_650]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_230]),
[final] ).
cnf(c_0_1713,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_39,c_0_571]),
[final] ).
cnf(c_0_1714,plain,
( equalish(X1,e_1)
| product(e_3,e_2,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_193]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_4,X2)
| ~ product(e_3,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_230]),
[final] ).
cnf(c_0_1716,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_27,c_0_571]),
[final] ).
cnf(c_0_1717,plain,
( equalish(X1,e_2)
| product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_340]),
[final] ).
cnf(c_0_1718,plain,
( equalish(X1,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_340]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_597]),c_0_923]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X1,X2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_924,c_0_597]),c_0_923]),
[final] ).
cnf(c_0_1721,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_488]),
[final] ).
cnf(c_0_1722,plain,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_488]),
[final] ).
cnf(c_0_1723,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_488]),
[final] ).
cnf(c_0_1724,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_27,c_0_609]),
[final] ).
cnf(c_0_1725,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_37,c_0_609]),
[final] ).
cnf(c_0_1726,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_27,c_0_368]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_567]),
[final] ).
cnf(c_0_1728,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_37,c_0_368]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_925]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( equalish(X1,e_3)
| product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_240]),
[final] ).
cnf(c_0_1731,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_27,c_0_638]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( equalish(X1,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_240]),
[final] ).
cnf(c_0_1733,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_37,c_0_638]),
[final] ).
cnf(c_0_1734,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_39,c_0_661]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_4,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_240]),
[final] ).
cnf(c_0_1736,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_27,c_0_661]),
[final] ).
cnf(c_0_1737,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_39,c_0_344]),
[final] ).
cnf(c_0_1738,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_37,c_0_661]),
[final] ).
cnf(c_0_1739,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_39,c_0_333]),
[final] ).
cnf(c_0_1740,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_27,c_0_333]),
[final] ).
cnf(c_0_1741,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_37,c_0_333]),
[final] ).
cnf(c_0_1742,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_39,c_0_612]),
[final] ).
cnf(c_0_1743,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_27,c_0_612]),
[final] ).
cnf(c_0_1744,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_37,c_0_612]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_613]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_613]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_613]),
[final] ).
cnf(c_0_1748,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_39,c_0_568]),
[final] ).
cnf(c_0_1749,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_37,c_0_568]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_614]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_614]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_614]),
[final] ).
cnf(c_0_1753,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_39,c_0_615]),
[final] ).
cnf(c_0_1754,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_27,c_0_615]),
[final] ).
cnf(c_0_1755,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_37,c_0_615]),
[final] ).
cnf(c_0_1756,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_39,c_0_616]),
[final] ).
cnf(c_0_1757,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_27,c_0_616]),
[final] ).
cnf(c_0_1758,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_37,c_0_616]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_631]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_3,e_4,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_27,c_0_631]),
[final] ).
cnf(c_0_1761,plain,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_563,c_0_407]),
[final] ).
cnf(c_0_1762,plain,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_449,c_0_407]),
[final] ).
cnf(c_0_1763,plain,
( product(e_2,e_1,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_926,c_0_407]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_631]),
[final] ).
cnf(c_0_1765,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_37,c_0_334]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_573]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_927]),
[final] ).
cnf(c_0_1768,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_573]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_573]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_928]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_929]),
[final] ).
cnf(c_0_1772,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_37,c_0_344]),
[final] ).
cnf(c_0_1773,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_37,c_0_640]),
[final] ).
cnf(c_0_1774,plain,
( equalish(X1,e_1)
| product(e_2,e_4,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_233]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_930]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_564]),
[final] ).
cnf(c_0_1777,plain,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_166]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_564]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_637]),c_0_50]),
[final] ).
cnf(c_0_1780,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_39,c_0_619]),
[final] ).
cnf(c_0_1781,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_27,c_0_619]),
[final] ).
cnf(c_0_1782,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_37,c_0_619]),
[final] ).
cnf(c_0_1783,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_2,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_459]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_566]),c_0_50]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_799]),c_0_76]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_2,X1)
| ~ product(e_4,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_571]),c_0_76]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_488]),c_0_50]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_609]),c_0_50]),
[final] ).
cnf(c_0_1789,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_427]),
[final] ).
cnf(c_0_1790,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_427]),
[final] ).
cnf(c_0_1791,plain,
( equalish(X1,e_4)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_277]),
[final] ).
cnf(c_0_1792,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_931,c_0_383]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( product(e_2,e_1,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_932,c_0_383]),
[final] ).
cnf(c_0_1794,plain,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_277]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_368]),c_0_59]),
[final] ).
cnf(c_0_1796,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_39,c_0_450]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_638]),c_0_47]),
[final] ).
cnf(c_0_1798,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_661]),c_0_47]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_612]),c_0_66]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_448,c_0_532]),
[final] ).
cnf(c_0_1801,plain,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_120,c_0_532]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_613]),c_0_66]),
[final] ).
cnf(c_0_1803,plain,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_898,c_0_532]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_568]),c_0_66]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_614]),c_0_66]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_610,c_0_333]),
[final] ).
cnf(c_0_1807,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_37,c_0_450]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_615]),c_0_47]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_616]),c_0_47]),
[final] ).
cnf(c_0_1810,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_27,c_0_412]),
[final] ).
cnf(c_0_1811,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_37,c_0_412]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_334]),c_0_76]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_1,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_573]),c_0_76]),
[final] ).
cnf(c_0_1814,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_39,c_0_248]),
[final] ).
cnf(c_0_1815,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_27,c_0_248]),
[final] ).
cnf(c_0_1816,plain,
( equalish(X1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_166]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_640]),c_0_59]),
[final] ).
cnf(c_0_1818,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_27,c_0_303]),
[final] ).
cnf(c_0_1819,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_37,c_0_303]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_933,c_0_434]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_934,c_0_293]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_366,c_0_293]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_619]),c_0_66]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_935,c_0_240]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_459]),c_0_66]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_427]),c_0_66]),
[final] ).
cnf(c_0_1827,plain,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_933,c_0_435]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_935,c_0_230]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_450]),c_0_66]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_459]),
[final] ).
cnf(c_0_1831,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_933,c_0_277]),
[final] ).
cnf(c_0_1832,plain,
( equalish(X1,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_166]),
[final] ).
cnf(c_0_1833,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_39,c_0_623]),
[final] ).
cnf(c_0_1834,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_39,c_0_284]),
[final] ).
cnf(c_0_1835,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_27,c_0_623]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_44,c_0_936]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_300]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_182]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_412]),c_0_40]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_337]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_248]),c_0_40]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_337]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( ~ product(e_2,e_1,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_4,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_303]),c_0_40]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_625,c_0_237]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_932,c_0_237]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_623]),c_0_40]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_182]),c_0_59]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_3,e_2,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_610,c_0_193]),
[final] ).
cnf(c_0_1849,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_284]),c_0_59]),
[final] ).
cnf(c_0_1850,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_162]),c_0_33]),
[final] ).
cnf(c_0_1851,plain,
( equalish(X1,e_1)
| product(e_4,e_3,e_2)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_162]),
[final] ).
cnf(c_0_1852,plain,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_937]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_297]),c_0_101]),
[final] ).
cnf(c_0_1854,plain,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_938]),
[final] ).
cnf(c_0_1855,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_39,c_0_297]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_440]),c_0_44]),
[final] ).
cnf(c_0_1857,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_27,c_0_297]),
[final] ).
cnf(c_0_1858,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_39,c_0_440]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_590]),c_0_101]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_135]),c_0_44]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_273]),c_0_125]),
[final] ).
cnf(c_0_1862,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_39,c_0_353]),
[final] ).
cnf(c_0_1863,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_27,c_0_353]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_652]),
[final] ).
cnf(c_0_1865,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_37,c_0_353]),
[final] ).
cnf(c_0_1866,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_39,c_0_624]),
[final] ).
cnf(c_0_1867,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_27,c_0_624]),
[final] ).
cnf(c_0_1868,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_37,c_0_624]),
[final] ).
cnf(c_0_1869,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_39,c_0_626]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_939]),
[final] ).
cnf(c_0_1871,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_27,c_0_626]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_590]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( equalish(X1,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_590]),
[final] ).
cnf(c_0_1874,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_37,c_0_626]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_353]),c_0_101]),
[final] ).
cnf(c_0_1876,negated_conjecture,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_590]),
[final] ).
cnf(c_0_1877,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_1,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_624]),c_0_44]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( equalish(X1,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_940,c_0_90]),c_0_440]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( equalish(X1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,X2,X1)
| ~ product(X1,X2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_941,c_0_90]),c_0_440]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_39,c_0_135]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_1,e_2,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_626]),c_0_40]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_942]),
[final] ).
cnf(c_0_1883,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_37,c_0_365]),
[final] ).
cnf(c_0_1884,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_2,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_306]),c_0_95]),
[final] ).
cnf(c_0_1885,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_27,c_0_400]),
[final] ).
cnf(c_0_1886,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_37,c_0_400]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_547,c_0_344]),
[final] ).
cnf(c_0_1888,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_39,c_0_227]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( product(e_2,e_4,e_3)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_943,c_0_233]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_547,c_0_284]),
[final] ).
cnf(c_0_1891,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_37,c_0_227]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_137]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_365]),c_0_59]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_400]),c_0_125]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_227]),c_0_59]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_547,c_0_365]),
[final] ).
cnf(c_0_1897,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_291,c_0_400]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_137]),c_0_59]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_227]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_377,c_0_94]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_918,c_0_440]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_918,c_0_135]),
[final] ).
cnf(c_0_1903,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_39,c_0_627]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_944]),
[final] ).
cnf(c_0_1905,plain,
( equalish(X1,e_3)
| product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_273]),
[final] ).
cnf(c_0_1906,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_37,c_0_627]),
[final] ).
cnf(c_0_1907,plain,
( equalish(X1,e_4)
| product(e_3,e_4,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_27,c_0_273]),
[final] ).
cnf(c_0_1908,plain,
( equalish(X1,e_1)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_273]),
[final] ).
cnf(c_0_1909,plain,
( equalish(X1,e_3)
| product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_39,c_0_94]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_627]),c_0_125]),
[final] ).
cnf(c_0_1911,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_238]),
[final] ).
cnf(c_0_1912,plain,
( equalish(X1,e_2)
| ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_230]),
[final] ).
cnf(c_0_1913,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_39,c_0_597]),
[final] ).
cnf(c_0_1914,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_27,c_0_597]),
[final] ).
cnf(c_0_1915,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_3)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_39,c_0_75]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_230]),c_0_125]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_291,c_0_230]),
[final] ).
cnf(c_0_1918,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_37,c_0_597]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_945,c_0_94]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,X1)
| ~ product(e_1,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_597]),c_0_95]),
[final] ).
cnf(c_0_1921,plain,
( equalish(X1,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_75]),
[final] ).
cnf(c_0_1922,plain,
( equalish(X1,e_1)
| product(e_1,e_3,e_2)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_490]),
[final] ).
cnf(c_0_1923,plain,
( equalish(X1,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_490]),
[final] ).
cnf(c_0_1924,plain,
( equalish(X1,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_490]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_1,X1)
| ~ product(e_3,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_75]),c_0_44]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_490]),c_0_33]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_1,X1)
| ~ product(e_4,e_3,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_53]),c_0_33]),
[final] ).
cnf(c_0_1928,plain,
( equalish(X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_402]),
[final] ).
cnf(c_0_1929,plain,
( equalish(X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_402]),
[final] ).
cnf(c_0_1930,plain,
( equalish(X1,e_1)
| product(e_1,e_2,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_39,c_0_53]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_265]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( equalish(X1,e_4)
| ~ product(e_4,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_265]),
[final] ).
cnf(c_0_1933,plain,
( equalish(X1,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_27,c_0_53]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_946]),c_0_76]),
[final] ).
cnf(c_0_1935,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_44,c_0_947]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_948,c_0_28]),
[final] ).
cnf(c_0_1937,plain,
( equalish(X1,e_3)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_569]),
[final] ).
cnf(c_0_1938,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_949]),
[final] ).
cnf(c_0_1939,plain,
( ~ product(e_2,e_1,e_3)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_950]),
[final] ).
cnf(c_0_1940,plain,
( equalish(X1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_169]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_44,c_0_189]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_27,c_0_180]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_3,e_4,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_180]),
[final] ).
cnf(c_0_1944,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_44,c_0_951]),
[final] ).
cnf(c_0_1945,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_952]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_953,c_0_28]),
[final] ).
cnf(c_0_1947,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_191,c_0_337]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_51]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_51]),
[final] ).
cnf(c_0_1950,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_55]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( equalish(X1,e_3)
| ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_107]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( equalish(X1,e_2)
| ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_369,c_0_107]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_136]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_90]),c_0_125]),
[final] ).
cnf(c_0_1955,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_33,c_0_954]),
[final] ).
cnf(c_0_1956,plain,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_54,c_0_955]),
[final] ).
cnf(c_0_1957,plain,
( equalish(X1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_62]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( equalish(X1,X2)
| ~ product(X2,X3,X1)
| ~ product(X2,X2,X4)
| ~ product(X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_369,c_0_28]),
[final] ).
cnf(c_0_1959,plain,
~ product(e_1,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_956]),c_0_957]),
[final] ).
cnf(c_0_1960,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_958,c_0_404]),c_0_47]),c_0_959]),
[final] ).
cnf(c_0_1961,plain,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_960]),c_0_961]),
[final] ).
cnf(c_0_1962,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_962]),c_0_963]),
[final] ).
cnf(c_0_1963,negated_conjecture,
~ product(e_1,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_964]),c_0_965]),
[final] ).
cnf(c_0_1964,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_966]),c_0_967]),
[final] ).
cnf(c_0_1965,plain,
~ product(e_1,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_968]),c_0_969]),
[final] ).
cnf(c_0_1966,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_970]),c_0_971]),
[final] ).
cnf(c_0_1967,plain,
~ product(e_1,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_81]),c_0_972]),
[final] ).
cnf(c_0_1968,plain,
equalish(X1,X1),
inference(spm,[status(thm)],[c_0_42,c_0_28]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP123-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Oct 3 02:24:21 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Eeh9rESHaa/E---3.1_17741.p
% 4.70/1.19 # Version: 3.1pre001
% 4.70/1.19 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.70/1.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.70/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.70/1.19 # Starting new_bool_3 with 300s (1) cores
% 4.70/1.19 # Starting new_bool_1 with 300s (1) cores
% 4.70/1.19 # Starting sh5l with 300s (1) cores
% 4.70/1.19 # new_bool_1 with pid 17822 completed with status 1
% 4.70/1.19 # Result found by new_bool_1
% 4.70/1.19 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.70/1.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.70/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.70/1.19 # Starting new_bool_3 with 300s (1) cores
% 4.70/1.19 # Starting new_bool_1 with 300s (1) cores
% 4.70/1.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.70/1.19 # Search class: FGUNF-FFSS00-SFFFFFNN
% 4.70/1.19 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.70/1.19 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.70/1.19 # SAT001_MinMin_p005000_rr_RG with pid 17827 completed with status 1
% 4.70/1.19 # Result found by SAT001_MinMin_p005000_rr_RG
% 4.70/1.19 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.70/1.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.70/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.70/1.19 # Starting new_bool_3 with 300s (1) cores
% 4.70/1.19 # Starting new_bool_1 with 300s (1) cores
% 4.70/1.19 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.70/1.19 # Search class: FGUNF-FFSS00-SFFFFFNN
% 4.70/1.19 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.70/1.19 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 4.70/1.19 # Preprocessing time : 0.001 s
% 4.70/1.19 # Presaturation interreduction done
% 4.70/1.19
% 4.70/1.19 # No proof found!
% 4.70/1.19 # SZS status Satisfiable
% 4.70/1.19 # SZS output start Saturation
% See solution above
% 4.70/1.20 # Parsed axioms : 25
% 4.70/1.20 # Removed by relevancy pruning/SinE : 0
% 4.70/1.20 # Initial clauses : 25
% 4.70/1.20 # Removed in clause preprocessing : 0
% 4.70/1.20 # Initial clauses in saturation : 25
% 4.70/1.20 # Processed clauses : 18364
% 4.70/1.20 # ...of these trivial : 0
% 4.70/1.20 # ...subsumed : 15887
% 4.70/1.20 # ...remaining for further processing : 2477
% 4.70/1.20 # Other redundant clauses eliminated : 0
% 4.70/1.20 # Clauses deleted for lack of memory : 0
% 4.70/1.20 # Backward-subsumed : 674
% 4.70/1.20 # Backward-rewritten : 0
% 4.70/1.20 # Generated clauses : 25540
% 4.70/1.20 # ...of the previous two non-redundant : 20732
% 4.70/1.20 # ...aggressively subsumed : 0
% 4.70/1.20 # Contextual simplify-reflections : 142
% 4.70/1.20 # Paramodulations : 25497
% 4.70/1.20 # Factorizations : 0
% 4.70/1.20 # NegExts : 0
% 4.70/1.20 # Equation resolutions : 0
% 4.70/1.20 # Total rewrite steps : 4600
% 4.70/1.20 # Propositional unsat checks : 0
% 4.70/1.20 # Propositional check models : 0
% 4.70/1.20 # Propositional check unsatisfiable : 0
% 4.70/1.20 # Propositional clauses : 0
% 4.70/1.20 # Propositional clauses after purity: 0
% 4.70/1.20 # Propositional unsat core size : 0
% 4.70/1.20 # Propositional preprocessing time : 0.000
% 4.70/1.20 # Propositional encoding time : 0.000
% 4.70/1.20 # Propositional solver time : 0.000
% 4.70/1.20 # Success case prop preproc time : 0.000
% 4.70/1.20 # Success case prop encoding time : 0.000
% 4.70/1.20 # Success case prop solver time : 0.000
% 4.70/1.20 # Current number of processed clauses : 1735
% 4.70/1.20 # Positive orientable unit clauses : 6
% 4.70/1.20 # Positive unorientable unit clauses: 0
% 4.70/1.20 # Negative unit clauses : 48
% 4.70/1.20 # Non-unit-clauses : 1681
% 4.70/1.20 # Current number of unprocessed clauses: 0
% 4.70/1.20 # ...number of literals in the above : 0
% 4.70/1.20 # Current number of archived formulas : 0
% 4.70/1.20 # Current number of archived clauses : 742
% 4.70/1.20 # Clause-clause subsumption calls (NU) : 683522
% 4.70/1.20 # Rec. Clause-clause subsumption calls : 179789
% 4.70/1.20 # Non-unit clause-clause subsumptions : 9533
% 4.70/1.20 # Unit Clause-clause subsumption calls : 5939
% 4.70/1.20 # Rewrite failures with RHS unbound : 0
% 4.70/1.20 # BW rewrite match attempts : 13
% 4.70/1.20 # BW rewrite match successes : 0
% 4.70/1.20 # Condensation attempts : 0
% 4.70/1.20 # Condensation successes : 0
% 4.70/1.20 # Termbank termtop insertions : 376086
% 4.70/1.20
% 4.70/1.20 # -------------------------------------------------
% 4.70/1.20 # User time : 0.604 s
% 4.70/1.20 # System time : 0.008 s
% 4.70/1.20 # Total time : 0.612 s
% 4.70/1.20 # Maximum resident set size: 2088 pages
% 4.70/1.20
% 4.70/1.20 # -------------------------------------------------
% 4.70/1.20 # User time : 0.604 s
% 4.70/1.20 # System time : 0.013 s
% 4.70/1.20 # Total time : 0.618 s
% 4.70/1.20 # Maximum resident set size: 1992 pages
% 4.70/1.20 % E---3.1 exiting
% 4.70/1.20 % E---3.1 exiting
%------------------------------------------------------------------------------