%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP129-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:38:36 PM UTC 2026
% Result : Satisfiable 33.24s 10.14s
% Output : Saturation 33.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_45ERROR: Could not build tree for root c_0_56ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_47,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_45,
[final] ).
cnf(c_0_48,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_49,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_46,
[final] ).
cnf(c_0_50,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_51,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_52,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_53,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_56,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_57,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_58,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_59,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_51]),
[final] ).
cnf(c_0_60,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_52]),
[final] ).
cnf(c_0_62,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_63,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_53]),
[final] ).
cnf(c_0_64,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_65,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_66,plain,
~ equalish(e_1,e_5),
c_0_54,
[final] ).
cnf(c_0_67,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_55,
[final] ).
cnf(c_0_69,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_70,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_59,c_0_58]),
[final] ).
cnf(c_0_71,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_60,c_0_58]),
[final] ).
cnf(c_0_73,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_61,
[final] ).
cnf(c_0_76,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_77,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_65]),
[final] ).
cnf(c_0_78,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]),
[final] ).
cnf(c_0_79,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_71]),
[final] ).
cnf(c_0_80,negated_conjecture,
( ~ product(X2,X3,X4)
| ~ product(X1,X2,X3)
| product(X3,X1,X4) ),
c_0_72,
[final] ).
cnf(c_0_81,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_82,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_73]),
[final] ).
cnf(c_0_83,plain,
~ equalish(e_1,e_4),
c_0_74,
[final] ).
cnf(c_0_85,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_77,c_0_64]),
[final] ).
cnf(c_0_87,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_1,X1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]),
[final] ).
cnf(c_0_90,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_67]),
[final] ).
cnf(c_0_91,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_92,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_73]),
[final] ).
cnf(c_0_94,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_102,plain,
~ equalish(e_1,e_3),
c_0_93,
[final] ).
cnf(c_0_103,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_104,plain,
( ~ next(X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_94]),
[final] ).
cnf(c_0_105,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_107,plain,
~ equalish(e_4,e_5),
c_0_96,
[final] ).
cnf(c_0_112,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_67]),
[final] ).
cnf(c_0_114,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_104,c_0_105]),
[final] ).
cnf(c_0_119,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_67]),
[final] ).
cnf(c_0_126,plain,
~ equalish(e_2,e_1),
c_0_115,
[final] ).
cnf(c_0_127,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_116,
[final] ).
cnf(c_0_130,plain,
~ equalish(e_3,e_5),
c_0_118,
[final] ).
cnf(c_0_133,plain,
~ equalish(e_3,e_4),
c_0_123,
[final] ).
cnf(c_0_135,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_73]),
[final] ).
cnf(c_0_137,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]),
[final] ).
cnf(c_0_140,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_67]),
[final] ).
cnf(c_0_142,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_67]),
[final] ).
cnf(c_0_148,plain,
~ equalish(e_2,e_5),
c_0_139,
[final] ).
cnf(c_0_151,plain,
~ equalish(e_2,e_4),
c_0_145,
[final] ).
cnf(c_0_152,plain,
~ equalish(e_2,e_3),
c_0_146,
[final] ).
cnf(c_0_154,plain,
( ~ group_element(X1)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_47,c_0_81]),
[final] ).
cnf(c_0_155,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_67]),
[final] ).
cnf(c_0_157,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_67]),
[final] ).
cnf(c_0_158,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_67]),
[final] ).
cnf(c_0_159,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_73]),
[final] ).
cnf(c_0_161,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_67]),
[final] ).
cnf(c_0_177,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_47,c_0_103]),
[final] ).
cnf(c_0_190,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_47,c_0_91]),
[final] ).
cnf(c_0_195,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_98]),c_0_140]),
[final] ).
cnf(c_0_202,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_148,c_0_127]),
[final] ).
cnf(c_0_204,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_120]),c_0_199]),
[final] ).
cnf(c_0_216,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_133,c_0_127]),
[final] ).
cnf(c_0_224,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_204]),
[final] ).
cnf(c_0_235,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_47,c_0_62]),
[final] ).
cnf(c_0_244,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_152,c_0_73]),
[final] ).
cnf(c_0_246,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_239]),c_0_142]),c_0_157]),
[final] ).
cnf(c_0_248,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_152,c_0_127]),
[final] ).
cnf(c_0_260,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_151,c_0_127]),
[final] ).
cnf(c_0_315,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_130,c_0_127]),
[final] ).
cnf(c_0_322,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_314]),c_0_315]),c_0_216]),
[final] ).
cnf(c_0_359,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_73]),
[final] ).
cnf(c_0_364,negated_conjecture,
product(e_2,e_2,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_360]),c_0_85]),
[final] ).
cnf(c_0_370,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_346]),c_0_359]),
[final] ).
cnf(c_0_374,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_73]),
[final] ).
cnf(c_0_377,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_278]),c_0_315]),c_0_216]),
[final] ).
cnf(c_0_379,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_73]),
[final] ).
cnf(c_0_380,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_73]),
[final] ).
cnf(c_0_381,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_73]),
[final] ).
cnf(c_0_383,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_373]),c_0_244]),c_0_374]),
[final] ).
cnf(c_0_388,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_378]),c_0_379]),c_0_380]),c_0_381]),
[final] ).
cnf(c_0_391,negated_conjecture,
( ~ product(X1,e_2,e_2)
| product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_364]),
[final] ).
cnf(c_0_393,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_364])]),
[final] ).
cnf(c_0_396,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_389,c_0_364])]),
[final] ).
cnf(c_0_399,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_392,c_0_393]),
[final] ).
cnf(c_0_422,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_127]),
[final] ).
cnf(c_0_426,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_399]),
[final] ).
cnf(c_0_428,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_170]),c_0_420]),c_0_137]),c_0_421]),
[final] ).
cnf(c_0_430,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_424]),c_0_422]),
[final] ).
cnf(c_0_438,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_170]),c_0_137]),c_0_433]),c_0_434]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_435]),c_0_364])]),
[final] ).
cnf(c_0_442,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_439]),c_0_379]),
[final] ).
cnf(c_0_447,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_402,c_0_442]),
[final] ).
cnf(c_0_450,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_447]),
[final] ).
cnf(c_0_453,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_127]),
[final] ).
cnf(c_0_467,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_204]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_468]),c_0_364])]),
[final] ).
cnf(c_0_474,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_470]),
[final] ).
cnf(c_0_477,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_136]),c_0_140]),
[final] ).
cnf(c_0_526,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_374,c_0_470]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_1,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_530]),c_0_80]),c_0_80]),c_0_90]),
[final] ).
cnf(c_0_557,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_204]),
[final] ).
cnf(c_0_570,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_563]),c_0_364])]),
[final] ).
cnf(c_0_577,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_464]),c_0_248]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_569]),c_0_570]),
[final] ).
cnf(c_0_587,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_570]),
[final] ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_450,c_0_579]),
[final] ).
cnf(c_0_599,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_588]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_204]),
[final] ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_428]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_609]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_619,c_0_588]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_78,c_0_628]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_636,c_0_637]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_609]),c_0_636]),
[final] ).
cnf(c_0_655,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_609]),c_0_393]),c_0_642]),
[final] ).
cnf(c_0_666,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_655]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_655]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_599,c_0_654]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_674]),c_0_570]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_628]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_679,c_0_680]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_690,c_0_655]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_692]),c_0_693]),c_0_694]),c_0_695]),
[final] ).
cnf(c_0_704,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_697]),c_0_155]),
[final] ).
cnf(c_0_706,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_700]),c_0_380]),
[final] ).
cnf(c_0_707,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_701]),c_0_157]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_705,c_0_706]),
[final] ).
cnf(c_0_729,plain,
( ~ product(e_1,e_4,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_163]),c_0_380]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product(e_1,e_4,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_737]),c_0_161]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_757]),c_0_92]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_806]),c_0_807]),
[final] ).
cnf(c_0_828,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_439]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_828,c_0_829]),
[final] ).
cnf(c_0_840,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_785]),c_0_248]),
[final] ).
cnf(c_0_923,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_916,c_0_516]),c_0_216]),c_0_260]),
[final] ).
cnf(c_0_976,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_971,c_0_706]),
[final] ).
cnf(c_0_981,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_976]),c_0_155]),
[final] ).
cnf(c_0_1001,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_944,c_0_706]),
[final] ).
cnf(c_0_1051,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_1047]),c_0_370]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1083]),c_0_248]),
[final] ).
cnf(c_0_1120,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1112,c_0_1113]),c_0_159]),c_0_142]),
[final] ).
cnf(c_0_1145,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_367,c_0_706]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1149]),c_0_248]),
[final] ).
cnf(c_0_1163,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_1158]),c_0_370]),
[final] ).
cnf(c_0_1170,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1163]),c_0_374]),
[final] ).
cnf(c_0_1176,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_956,c_0_1170]),
[final] ).
cnf(c_0_1181,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1175]),c_0_1176])]),
[final] ).
cnf(c_0_1187,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_165,c_0_1181]),
[final] ).
cnf(c_0_1192,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1065]),c_0_1185]),c_0_380]),
[final] ).
cnf(c_0_1193,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1186,c_0_1187])]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_935,c_0_706]),
[final] ).
cnf(c_0_1211,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1208]),c_0_1187])]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1211]),
[final] ).
cnf(c_0_1229,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1128,c_0_1224]),c_0_159]),c_0_359]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1228,c_0_1187]),c_0_1229]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1178,c_0_1231]),c_0_1232]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_1243]),c_0_1176])]),
[final] ).
cnf(c_0_1247,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1245]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1247,c_0_1211]),
[final] ).
cnf(c_0_1255,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1249]),c_0_379]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_526]),c_0_1256]),
[final] ).
cnf(c_0_1272,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1266]),c_0_140]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_583,c_0_706]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1040,c_0_1181]),
[final] ).
cnf(c_0_1296,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1285,c_0_1056]),c_0_396]),c_0_1062]),c_0_157]),
[final] ).
cnf(c_0_1309,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1297]),c_0_374]),c_0_157]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1163]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1316,c_0_1317]),c_0_640]),
[final] ).
cnf(c_0_1334,negated_conjecture,
( ~ product(X1,e_3,e_3)
| product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1176]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1341,c_0_1324]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1344]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1321,c_0_1348]),c_0_1349]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1351]),c_0_1352]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1353]),
[final] ).
cnf(c_0_1356,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_1266]),c_0_359]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1355]),c_0_1187])]),
[final] ).
cnf(c_0_1358,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_127]),
[final] ).
cnf(c_0_1360,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1357]),c_0_1358]),c_0_248]),
[final] ).
cnf(c_0_1363,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_1359,c_0_1360]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_841]),c_0_161]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1324]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1369]),c_0_1187])]),
[final] ).
cnf(c_0_1375,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_1370]),c_0_370]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1391,c_0_1324]),
[final] ).
cnf(c_0_1403,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_1233]),c_0_142]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1423,c_0_1245]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_1425]),c_0_312]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_78,c_0_1430]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1432]),
[final] ).
cnf(c_0_1446,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1437,c_0_1438]),c_0_216]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1440,c_0_1207]),
[final] ).
cnf(c_0_1451,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_1443]),c_0_76]),c_0_381]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1445,c_0_1446]),
[final] ).
cnf(c_0_1455,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1447,c_0_1448]),c_0_1261]),c_0_1449]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1450,c_0_1245]),
[final] ).
cnf(c_0_1458,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1299,c_0_1451]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_381,c_0_1456]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1460,c_0_1245]),c_0_1461]),c_0_1462]),c_0_1256]),
[final] ).
cnf(c_0_1466,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1463,c_0_1360]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1464]),c_0_1193]),
[final] ).
cnf(c_0_1468,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_828,c_0_1465]),
[final] ).
cnf(c_0_1471,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_1467]),c_0_248]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1470,c_0_1471]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1472]),c_0_1187])]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1458]),
[final] ).
cnf(c_0_1477,plain,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_1458]),
[final] ).
cnf(c_0_1479,plain,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_1466]),
[final] ).
cnf(c_0_1481,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_1474]),c_0_90]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1475]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1476,c_0_1468]),c_0_1477]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1484,c_0_1345]),c_0_1485]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1488]),c_0_142]),
[final] ).
cnf(c_0_1497,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_1490]),c_0_1181]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1285,c_0_1344]),c_0_377]),c_0_1347]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1277,c_0_1471]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_1498]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1499]),c_0_1187])]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1500]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_381,c_0_1324]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1508,c_0_1458]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1511]),c_0_377]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1519,c_0_1481]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1520,c_0_1521]),c_0_1522]),c_0_1523]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_1531]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_1261]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_381,c_0_1532]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1280]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1541,c_0_1432]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_239,c_0_1181]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1558]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1474]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1565]),c_0_155]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1569]),c_0_1187])]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_828,c_0_1419]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1576,c_0_1577]),c_0_1347]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1579]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1391,c_0_1345]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1584]),c_0_1176])]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_1585]),c_0_260]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1586]),c_0_1187])]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1590]),c_0_1453]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1592]),c_0_142]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_1593]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1594,c_0_1595]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_1596]),c_0_1597]),
[final] ).
cnf(c_0_1605,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1598]),c_0_244]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1602,c_0_1603]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1604]),
[final] ).
cnf(c_0_1611,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1315,c_0_1605]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1608]),c_0_1187])]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1558]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1540,c_0_1609]),c_0_453]),
[final] ).
cnf(c_0_1622,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_386,c_0_706]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_1614]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_1616]),c_0_1617]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1541,c_0_1465]),
[final] ).
cnf(c_0_1632,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1407,c_0_1376]),c_0_1389]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_158,c_0_1373]),
[final] ).
cnf(c_0_1634,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_1622]),
[final] ).
cnf(c_0_1635,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_66,c_0_127]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1624,c_0_1625]),c_0_422]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1631]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1633,c_0_1634]),c_0_1635]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1636,c_0_1637]),c_0_422]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1638,c_0_1465]),c_0_1360]),c_0_1192]),c_0_1193]),c_0_1451]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1593]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1645,c_0_1549]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1646,c_0_1647]),c_0_1635]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1648,c_0_1649]),c_0_422]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1594,c_0_1650]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1652]),c_0_155]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1655,c_0_1656]),c_0_1657]),
[final] ).
cnf(c_0_1668,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_381,c_0_1477]),
[final] ).
cnf(c_0_1669,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1602,c_0_1659]),
[final] ).
cnf(c_0_1677,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_1666]),c_0_1667]),
[final] ).
cnf(c_0_1679,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1668,c_0_1432]),
[final] ).
cnf(c_0_1680,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_1669]),
[final] ).
cnf(c_0_1689,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1630,c_0_1677]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1680,c_0_430]),c_0_1635]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1051]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1689]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1690,c_0_1691]),c_0_1481]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1666]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1703,c_0_1471]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1705,c_0_1706]),c_0_422]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_1689]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1363]),
[final] ).
cnf(c_0_1730,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1709,c_0_192]),c_0_137]),c_0_1358]),c_0_453]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1715,c_0_706]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_422,c_0_1051]),
[final] ).
cnf(c_0_1741,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1720]),c_0_244]),
[final] ).
cnf(c_0_1744,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1722]),
[final] ).
cnf(c_0_1749,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_1725]),c_0_1726]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_1350]),c_0_142]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1717,c_0_1727]),c_0_1540]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1738]),c_0_1187])]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1742]),c_0_1743]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1511]),c_0_377]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_282,c_0_1749]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1750,c_0_1751]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_216,c_0_1727]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_1727]),
[final] ).
cnf(c_0_1779,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1757]),c_0_379]),
[final] ).
cnf(c_0_1781,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1760]),c_0_119]),c_0_1761]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1520,c_0_1763]),c_0_1764]),c_0_1765]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_1770]),c_0_1771]),c_0_1772]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1782,c_0_1634]),c_0_1783]),c_0_1635]),
[final] ).
cnf(c_0_1796,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1784]),
[final] ).
cnf(c_0_1798,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1786]),c_0_1187])]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_1706]),c_0_1481]),c_0_1181]),c_0_422]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1655,c_0_1611]),c_0_1657]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_315,c_0_1795]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1796,c_0_1051]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1797,c_0_1798]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1799,c_0_1800]),c_0_1384]),
[final] ).
cnf(c_0_1815,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_1802]),c_0_90]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1808,c_0_1647]),c_0_1809]),c_0_1810]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_1812]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1375]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1816,c_0_1798]),
[final] ).
cnf(c_0_1834,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1819,c_0_1471]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1486,c_0_1677]),
[final] ).
cnf(c_0_1842,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1822,c_0_1823]),c_0_1824]),
[final] ).
cnf(c_0_1843,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1825,c_0_1663]),c_0_244]),
[final] ).
cnf(c_0_1846,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_1827]),c_0_1181]),c_0_1497]),c_0_1272]),c_0_359]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1532]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1828,c_0_1471]),
[final] ).
cnf(c_0_1850,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1606,c_0_1677]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1585]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1833,c_0_1363]),
[final] ).
cnf(c_0_1857,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1834]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1835,c_0_1751]),c_0_1836]),
[final] ).
cnf(c_0_1859,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1837,c_0_170]),c_0_1838]),c_0_1839]),c_0_137]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1840,c_0_1749]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1841,c_0_1813]),c_0_1842]),c_0_1843]),c_0_428]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1588,c_0_1846]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_1558]),
[final] ).
cnf(c_0_1866,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1847,c_0_1848]),c_0_1602]),c_0_1795]),
[final] ).
cnf(c_0_1868,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_1851]),c_0_1852]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_1855]),c_0_428]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_1856]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1857,c_0_1858]),c_0_1859]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_112,c_0_1860]),
[final] ).
cnf(c_0_1874,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_1861]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_1876,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1863,c_0_1798]),
[final] ).
cnf(c_0_1877,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1841,c_0_1864]),c_0_1842]),c_0_1843]),c_0_428]),c_0_1865]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_1802]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1866]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1867,c_0_1868]),
[final] ).
cnf(c_0_1886,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1870]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1871,c_0_1872]),c_0_1873]),
[final] ).
cnf(c_0_1888,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1874]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1465]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1876]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1877]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_1850]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1878,c_0_1637]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1880,c_0_1691]),c_0_422]),
[final] ).
cnf(c_0_1897,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_1861]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_1881]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1886,c_0_841]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_811]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1887]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_1888]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_1890]),c_0_706]),c_0_1477]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_1211]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1603]),
[final] ).
cnf(c_0_1913,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1829,c_0_1868]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1531]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1892,c_0_1864]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1629,c_0_1893]),c_0_1894]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1895]),c_0_1193]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_1896]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1897,c_0_1858]),c_0_1898]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_1899]),c_0_1405]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1624,c_0_1902]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1905]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1906,c_0_832]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1908,c_0_1511]),c_0_377]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1909,c_0_1910]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_828,c_0_1911]),
[final] ).
cnf(c_0_1937,plain,
( ~ product(e_2,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_379,c_0_447]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1912,c_0_1913]),c_0_1788]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1914]),c_0_1187])]),
[final] ).
cnf(c_0_1940,negated_conjecture,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1915,c_0_212]),c_0_85]),c_0_717]),
[final] ).
cnf(c_0_1941,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1916]),c_0_248]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1909,c_0_1917]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_1918]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1922,c_0_1923]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_1861]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1813]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1927,c_0_1928]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1830]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1934,c_0_1935]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1936,c_0_1937]),c_0_453]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_1938]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_1939]),c_0_1940]),c_0_1941]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1942,c_0_1943]),c_0_374]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1947]),c_0_155]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1841,c_0_1592]),c_0_1842]),c_0_1843]),c_0_1948]),c_0_1949]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1950,c_0_1866]),c_0_1658]),
[final] ).
cnf(c_0_1977,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_1951]),c_0_379]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_119,c_0_1953]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_379,c_0_1637]),
[final] ).
cnf(c_0_1985,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_1539]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1964,c_0_1725]),c_0_1965]),
[final] ).
cnf(c_0_1997,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1372,c_0_1966]),c_0_1605]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_1967]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1968,c_0_1689]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1969]),c_0_377]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1934,c_0_1970]),
[final] ).
cnf(c_0_2005,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_379,c_0_1453]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1974,c_0_1975]),
[final] ).
cnf(c_0_2007,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_380,c_0_1976]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_1977]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1978,c_0_1585]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1979,c_0_1887]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_1975]),c_0_1980]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1466]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1985,c_0_1521]),c_0_1540]),
[final] ).
cnf(c_0_2017,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_3,e_2,e_4)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1727]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1609]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1986]),c_0_1193]),
[final] ).
cnf(c_0_2029,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_1996]),
[final] ).
cnf(c_0_2030,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_1997]),c_0_1998]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_1999]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1750,c_0_2000]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1372,c_0_2001]),c_0_1605]),
[final] ).
cnf(c_0_2034,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_1948]),c_0_1764]),
[final] ).
cnf(c_0_2037,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2005,c_0_2006]),c_0_1873]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_1830]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2007,c_0_1858]),
[final] ).
cnf(c_0_2041,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_112,c_0_1976]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2008,c_0_1830]),
[final] ).
cnf(c_0_2043,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_2009]),
[final] ).
cnf(c_0_2044,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2010]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1826,c_0_2011]),c_0_841]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_5,e_2,e_3)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1511]),
[final] ).
cnf(c_0_2047,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1879,c_0_1888]),c_0_1605]),
[final] ).
cnf(c_0_2051,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1794,c_0_1846]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_3,e_2,e_4)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2016]),
[final] ).
cnf(c_0_2056,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2018,c_0_2019]),c_0_442]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1549]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_2020]),c_0_82]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1717,c_0_1725]),c_0_422]),
[final] ).
cnf(c_0_2062,plain,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_1611]),
[final] ).
cnf(c_0_2066,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2029,c_0_1511]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1476,c_0_1874]),c_0_2030]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2031,c_0_2032]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_379,c_0_2033]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1874]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1745,c_0_2034]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2035]),c_0_1187])]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_2036]),c_0_1187])]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2037]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_2038,c_0_1255]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1897,c_0_2039]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1871,c_0_2040]),c_0_2041]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1595]),
[final] ).
cnf(c_0_2080,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_2042]),
[final] ).
cnf(c_0_2081,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1871,c_0_1923]),
[final] ).
cnf(c_0_2082,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2043,c_0_1923]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2044,c_0_2045]),c_0_1725]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2047]),
[final] ).
cnf(c_0_2085,plain,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_1622]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2048,c_0_1830]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1897,c_0_1996]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2052,c_0_1488]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2054,c_0_1609]),
[final] ).
cnf(c_0_2093,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2055,c_0_2056]),
[final] ).
cnf(c_0_2094,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1669]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2057,c_0_2019]),c_0_442]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_2058]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1750,c_0_2059]),
[final] ).
cnf(c_0_2103,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_1658]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1811]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1636,c_0_1928]),
[final] ).
cnf(c_0_2118,negated_conjecture,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[c_0_785,c_0_1779]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2066,c_0_2067]),
[final] ).
cnf(c_0_2120,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_2068]),c_0_2069]),
[final] ).
cnf(c_0_2121,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2070,c_0_2071]),
[final] ).
cnf(c_0_2122,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_2072]),c_0_142]),
[final] ).
cnf(c_0_2123,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1908,c_0_1969]),c_0_377]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_2073]),c_0_142]),
[final] ).
cnf(c_0_2125,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1969]),c_0_377]),
[final] ).
cnf(c_0_2126,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2074,c_0_1969]),c_0_377]),
[final] ).
cnf(c_0_2127,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_2006]),c_0_1798]),c_0_2042]),
[final] ).
cnf(c_0_2128,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_2076,c_0_1941]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2077,c_0_2078]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_5,e_4,e_3)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2039]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_90,c_0_1861]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1727]),
[final] ).
cnf(c_0_2136,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_1706]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2080,c_0_1511]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_2081]),c_0_1798]),c_0_2042]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_2082]),c_0_1798]),c_0_2042]),
[final] ).
cnf(c_0_2141,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2083]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2084,c_0_2085]),c_0_1471]),c_0_379]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_2086]),c_0_142]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2088]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2089]),c_0_1813]),
[final] ).
cnf(c_0_2148,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_2090]),c_0_1181]),c_0_1272]),c_0_2091]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2092,c_0_2093]),c_0_1795]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2094,c_0_1465]),
[final] ).
cnf(c_0_2152,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2095,c_0_2096]),c_0_2062]),c_0_1894]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_1916]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_453,c_0_2098]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1880,c_0_1458]),
[final] ).
cnf(c_0_2165,plain,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2104,c_0_1834]),c_0_2105]),
[final] ).
cnf(c_0_2166,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_2106]),c_0_1360]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2107,c_0_1481]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2108,c_0_2109]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1484,c_0_1324]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1932]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_701]),
[final] ).
cnf(c_0_2184,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1212,c_0_1798]),
[final] ).
cnf(c_0_2185,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1760]),c_0_1980]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1574,c_0_2088]),
[final] ).
cnf(c_0_2187,negated_conjecture,
( ~ product(X1,e_4,e_4)
| product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2118]),
[final] ).
cnf(c_0_2189,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1975]),
[final] ).
cnf(c_0_2192,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1934,c_0_2067]),
[final] ).
cnf(c_0_2193,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1765,c_0_2067]),
[final] ).
cnf(c_0_2194,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2120,c_0_2121]),
[final] ).
cnf(c_0_2195,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2030,c_0_2121]),
[final] ).
cnf(c_0_2196,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_2121]),c_0_706]),
[final] ).
cnf(c_0_2197,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_2121]),c_0_706]),
[final] ).
cnf(c_0_2198,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2122,c_0_2123]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2124,c_0_2123]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1750,c_0_2123]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1492,c_0_2123]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1750,c_0_2125]),
[final] ).
cnf(c_0_2203,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1750,c_0_2126]),
[final] ).
cnf(c_0_2204,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2127]),
[final] ).
cnf(c_0_2206,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1908,c_0_2128]),c_0_377]),
[final] ).
cnf(c_0_2208,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2130,c_0_2078]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1897,c_0_1666]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2132,c_0_1751]),c_0_2133]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_2135]),c_0_1689]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2080,c_0_2128]),c_0_2136]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2137,c_0_1970]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1850]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2103,c_0_1858]),
[final] ).
cnf(c_0_2219,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1996]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1812]),
[final] ).
cnf(c_0_2224,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2141,c_0_2142]),c_0_379]),
[final] ).
cnf(c_0_2225,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_2143]),
[final] ).
cnf(c_0_2226,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1507,c_0_2034]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_1858]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1215,c_0_1967]),c_0_2144]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2145]),c_0_1187])]),
[final] ).
cnf(c_0_2231,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2146,c_0_2147]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1717,c_0_1565]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1576,c_0_2148]),c_0_2149]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2150]),
[final] ).
cnf(c_0_2236,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1655,c_0_2151]),
[final] ).
cnf(c_0_2240,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1574,c_0_2129]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_1888]),c_0_706]),
[final] ).
cnf(c_0_2242,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1974,c_0_2088]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_2152]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2153,c_0_2058]),c_0_1481]),c_0_2154]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1624,c_0_2155]),c_0_2156]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1974,c_0_1874]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_2158,c_0_1868]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_2161,c_0_1677]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1927,c_0_1637]),c_0_422]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2165]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1802]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_2166]),c_0_706]),
[final] ).
cnf(c_0_2261,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2170,c_0_2072]),
[final] ).
cnf(c_0_2262,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2171,c_0_2073]),
[final] ).
cnf(c_0_2264,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1468]),
[final] ).
cnf(c_0_2269,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1321,c_0_1592]),
[final] ).
cnf(c_0_2273,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2178,c_0_570]),
[final] ).
cnf(c_0_2275,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2179,c_0_447]),
[final] ).
cnf(c_0_2281,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2184]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2185,c_0_2186]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1769]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_2189]),c_0_706]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_2189]),c_0_706]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2119]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2191,c_0_1706]),c_0_422]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2192]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2193]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_4,e_5,e_3)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2058]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2066,c_0_2194]),
[final] ).
cnf(c_0_2294,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2066,c_0_2195]),
[final] ).
cnf(c_0_2295,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2066,c_0_2196]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2066,c_0_2197]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1879,c_0_2186]),c_0_1605]),
[final] ).
cnf(c_0_2305,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2205]),c_0_1187])]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2045]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2207]),c_0_1187])]),
[final] ).
cnf(c_0_2312,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2209]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2210]),c_0_1813]),
[final] ).
cnf(c_0_2314,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_2211]),c_0_1798]),
[final] ).
cnf(c_0_2317,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2213]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1879,c_0_2006]),c_0_1605]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2031,c_0_2214]),c_0_2215]),
[final] ).
cnf(c_0_2320,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1968,c_0_1923]),
[final] ).
cnf(c_0_2321,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2216,c_0_1760]),c_0_706]),c_0_2217]),
[final] ).
cnf(c_0_2322,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_2218,c_0_1677]),
[final] ).
cnf(c_0_2324,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1879,c_0_2189]),c_0_1605]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1934,c_0_2047]),
[final] ).
cnf(c_0_2327,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2122,c_0_2126]),
[final] ).
cnf(c_0_2328,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2124,c_0_2126]),
[final] ).
cnf(c_0_2330,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1692,c_0_2006]),c_0_706]),
[final] ).
cnf(c_0_2331,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1567,c_0_1511]),
[final] ).
cnf(c_0_2332,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2186]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2185,c_0_1888]),
[final] ).
cnf(c_0_2336,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_2224]),
[final] ).
cnf(c_0_2337,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2225,c_0_1511]),
[final] ).
cnf(c_0_2338,plain,
( ~ product(e_4,e_2,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_2226]),
[final] ).
cnf(c_0_2339,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1760]),
[final] ).
cnf(c_0_2340,plain,
( ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_2085]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_5,e_4,e_2)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2227]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1612,c_0_2228]),c_0_2229]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2043,c_0_2040]),c_0_2041]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_2231]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_2121]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2232]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2233]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2234,c_0_1458]),
[final] ).
cnf(c_0_2352,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_2236]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_2353,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2236]),
[final] ).
cnf(c_0_2355,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_2123]),
[final] ).
cnf(c_0_2356,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_2125]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_2000]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_2126]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2189]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2006]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2240]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_1970]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1934,c_0_2241]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2242]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2243,c_0_1689]),
[final] ).
cnf(c_0_2369,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_4,e_5,e_3)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2244]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2029,c_0_2245]),
[final] ).
cnf(c_0_2371,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1825,c_0_2245]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_381,c_0_1255]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2246]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2247,c_0_1941]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_1823]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_2248]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_112,c_0_2040]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_2249]),c_0_260]),c_0_248]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_2093]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_4,e_5,e_2)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2143]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_2227]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_2253]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_1848]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2255,c_0_1751]),c_0_396]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2256,c_0_1727]),c_0_2257]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1233]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_2,e_4)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1539]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_1811]),c_0_157]),
[final] ).
cnf(c_0_2399,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2002,c_0_1324]),
[final] ).
cnf(c_0_2400,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2004,c_0_1324]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_1498]),c_0_260]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1592]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1455]),
[final] ).
cnf(c_0_2418,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_832]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1483]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2281,c_0_1937]),c_0_2282]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2283]),c_0_1187])]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2285]),
[final] ).
cnf(c_0_2431,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2286]),
[final] ).
cnf(c_0_2432,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_2287,c_0_1798]),c_0_1601]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2288,c_0_570]),c_0_2289]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2290,c_0_570]),c_0_2289]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2291,c_0_570]),c_0_2289]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2293]),
[final] ).
cnf(c_0_2437,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2294]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2295]),
[final] ).
cnf(c_0_2439,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2296]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2297]),c_0_1187])]),
[final] ).
cnf(c_0_2441,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2298]),c_0_1187])]),
[final] ).
cnf(c_0_2442,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2299]),c_0_1187])]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2300]),c_0_1187])]),
[final] ).
cnf(c_0_2444,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2301]),c_0_1187])]),
[final] ).
cnf(c_0_2445,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2302]),c_0_1187])]),
[final] ).
cnf(c_0_2446,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2303]),
[final] ).
cnf(c_0_2447,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2304]),c_0_1187])]),
[final] ).
cnf(c_0_2448,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_2305]),c_0_1940]),c_0_1941]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2306,c_0_2307]),c_0_1356]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_2308]),c_0_1940]),c_0_1941]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2309]),c_0_1187])]),
[final] ).
cnf(c_0_2452,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2310]),c_0_1187])]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2311]),c_0_1187])]),
[final] ).
cnf(c_0_2454,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2312,c_0_2313]),
[final] ).
cnf(c_0_2455,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_2314]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_2315,c_0_1941]),c_0_1706]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2316]),c_0_1187])]),
[final] ).
cnf(c_0_2458,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2317,c_0_2318]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_3,e_5,e_2)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2319]),
[final] ).
cnf(c_0_2460,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_2006]),c_0_706]),
[final] ).
cnf(c_0_2461,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_2006]),c_0_706]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_2320]),c_0_1940]),c_0_1941]),
[final] ).
cnf(c_0_2463,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1968,c_0_2321]),
[final] ).
cnf(c_0_2464,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1968,c_0_1836]),
[final] ).
cnf(c_0_2465,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1968,c_0_2322]),
[final] ).
cnf(c_0_2466,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2323]),c_0_1187])]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2141,c_0_2324]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2141,c_0_2325]),
[final] ).
cnf(c_0_2469,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2326]),c_0_1187])]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2029,c_0_1969]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1825,c_0_1969]),
[final] ).
cnf(c_0_2474,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_653,c_0_1843]),c_0_1842]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_2039]),
[final] ).
cnf(c_0_2476,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2185,c_0_2189]),
[final] ).
cnf(c_0_2477,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2285]),
[final] ).
cnf(c_0_2478,plain,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_1913]),
[final] ).
cnf(c_0_2479,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2286]),
[final] ).
cnf(c_0_2480,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2185,c_0_2006]),
[final] ).
cnf(c_0_2481,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2329]),c_0_1813]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_5,e_2)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2214]),
[final] ).
cnf(c_0_2483,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2330]),
[final] ).
cnf(c_0_2484,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2331,c_0_1970]),
[final] ).
cnf(c_0_2485,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2332,c_0_1910]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1934,c_0_2333]),
[final] ).
cnf(c_0_2487,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_2186]),c_0_706]),
[final] ).
cnf(c_0_2488,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2185,c_0_2242]),
[final] ).
cnf(c_0_2489,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2334]),c_0_1813]),
[final] ).
cnf(c_0_2490,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2335]),c_0_1813]),
[final] ).
cnf(c_0_2491,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2336,c_0_1689]),
[final] ).
cnf(c_0_2492,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2336,c_0_2040]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1858]),
[final] ).
cnf(c_0_2494,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2337,c_0_2338]),
[final] ).
cnf(c_0_2495,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2339,c_0_2142]),c_0_1815]),c_0_2340]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2336,c_0_1923]),
[final] ).
cnf(c_0_2497,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_5,e_2,e_3)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2341,c_0_1511]),
[final] ).
cnf(c_0_2498,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2342]),
[final] ).
cnf(c_0_2499,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2185,c_0_2246]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1974,c_0_2209]),
[final] ).
cnf(c_0_2501,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2077,c_0_2343]),
[final] ).
cnf(c_0_2502,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_2344,c_0_1941]),
[final] ).
cnf(c_0_2503,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2157,c_0_1941]),
[final] ).
cnf(c_0_2504,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_2239,c_0_1941]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_2345,c_0_1941]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_3,e_2,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2211]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2346,c_0_1917]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_1948]),c_0_1798]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1897,c_0_1876]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1476,c_0_1877]),
[final] ).
cnf(c_0_2511,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1841,c_0_2248]),c_0_1842]),c_0_1843]),c_0_428]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2347,c_0_1917]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_487]),c_0_161]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1495]),c_0_78]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2216,c_0_2319]),c_0_706]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1968,c_0_1893]),
[final] ).
cnf(c_0_2517,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1968,c_0_2342]),c_0_374]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2348,c_0_1532]),
[final] ).
cnf(c_0_2519,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2349,c_0_2350]),
[final] ).
cnf(c_0_2520,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1871,c_0_2321]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2043,c_0_2321]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2351]),c_0_1813]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1934,c_0_2352]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2353,c_0_1996]),
[final] ).
cnf(c_0_2525,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2354,c_0_2096]),
[final] ).
cnf(c_0_2526,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1880,c_0_1631]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2355,c_0_1917]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2356,c_0_1917]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2357,c_0_1917]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2358,c_0_1917]),
[final] ).
cnf(c_0_2531,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2122,c_0_2000]),
[final] ).
cnf(c_0_2532,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2124,c_0_2000]),
[final] ).
cnf(c_0_2533,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_1939]),
[final] ).
cnf(c_0_2534,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2359]),c_0_1813]),
[final] ).
cnf(c_0_2535,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1184,c_0_1192]),c_0_1451]),c_0_1193]),c_0_1749]),
[final] ).
cnf(c_0_2536,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_2360]),c_0_1813]),
[final] ).
cnf(c_0_2537,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_3,e_2,e_4)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1770]),
[final] ).
cnf(c_0_2538,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_3,e_2,e_4)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1751]),
[final] ).
cnf(c_0_2539,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2361,c_0_1917]),
[final] ).
cnf(c_0_2540,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2362,c_0_1917]),
[final] ).
cnf(c_0_2541,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2363,c_0_2330]),c_0_1941]),c_0_393]),
[final] ).
cnf(c_0_2542,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2364,c_0_1917]),
[final] ).
cnf(c_0_2543,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2007,c_0_2127]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2365,c_0_2037]),
[final] ).
cnf(c_0_2545,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1372,c_0_2366]),c_0_1605]),
[final] ).
cnf(c_0_2546,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2332,c_0_1917]),
[final] ).
cnf(c_0_2547,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2367,c_0_1917]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2368]),
[final] ).
cnf(c_0_2549,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_3,e_5,e_4)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2155]),
[final] ).
cnf(c_0_2550,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_3,e_5,e_4)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2370]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_3,e_5,e_4)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2370]),
[final] ).
cnf(c_0_2552,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_3,e_5,e_4)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2370]),
[final] ).
cnf(c_0_2553,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2097,c_0_2127]),
[final] ).
cnf(c_0_2554,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2066,c_0_2338]),
[final] ).
cnf(c_0_2555,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_2127]),
[final] ).
cnf(c_0_2556,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_2371]),
[final] ).
cnf(c_0_2557,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2372,c_0_2166]),
[final] ).
cnf(c_0_2558,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2373,c_0_1917]),
[final] ).
cnf(c_0_2559,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_2374]),
[final] ).
cnf(c_0_2560,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2375,c_0_2128]),c_0_1635]),
[final] ).
cnf(c_0_2561,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1878,c_0_2245]),
[final] ).
cnf(c_0_2562,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_381,c_0_1823]),
[final] ).
cnf(c_0_2563,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2007,c_0_1996]),
[final] ).
cnf(c_0_2564,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2376,c_0_1976]),
[final] ).
cnf(c_0_2565,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_2,e_4)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2377]),
[final] ).
cnf(c_0_2566,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2378,c_0_1976]),
[final] ).
cnf(c_0_2567,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_1976]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_2568,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1922,c_0_2040]),
[final] ).
cnf(c_0_2569,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_90,c_0_1976]),
[final] ).
cnf(c_0_2570,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_4)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1788]),
[final] ).
cnf(c_0_2571,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1717,c_0_1947]),
[final] ).
cnf(c_0_2572,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2379,c_0_2321]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_315,c_0_1866]),
[final] ).
cnf(c_0_2575,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_1,e_4,e_3)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1977]),
[final] ).
cnf(c_0_2577,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_3,e_2,e_4)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2381,c_0_1751]),
[final] ).
cnf(c_0_2579,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1922,c_0_2227]),
[final] ).
cnf(c_0_2580,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1876]),
[final] ).
cnf(c_0_2581,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_2058]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_2582,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2383,c_0_1511]),
[final] ).
cnf(c_0_2583,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2384,c_0_1887]),
[final] ).
cnf(c_0_2584,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_374,c_0_2059]),
[final] ).
cnf(c_0_2585,plain,
( ~ product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_1611]),
[final] ).
cnf(c_0_2587,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2043,c_0_1893]),
[final] ).
cnf(c_0_2588,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2386,c_0_1893]),
[final] ).
cnf(c_0_2589,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_2,e_4)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2387]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_3,e_2,e_5)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1917]),
[final] ).
cnf(c_0_2591,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_374,c_0_1751]),
[final] ).
cnf(c_0_2592,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_2388]),
[final] ).
cnf(c_0_2593,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_2,e_5)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1893]),
[final] ).
cnf(c_0_2594,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2389,c_0_1691]),c_0_1051]),
[final] ).
cnf(c_0_2595,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_1943]),
[final] ).
cnf(c_0_2596,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2390,c_0_1691]),c_0_1471]),
[final] ).
cnf(c_0_2597,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_4,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2391,c_0_1679]),
[final] ).
cnf(c_0_2598,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1477]),
[final] ).
cnf(c_0_2599,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1679]),
[final] ).
cnf(c_0_2600,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_2159,c_0_1815]),
[final] ).
cnf(c_0_2601,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1602,c_0_2233]),
[final] ).
cnf(c_0_2602,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_1911]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2392,c_0_2109]),c_0_2393]),
[final] ).
cnf(c_0_2604,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1648,c_0_2109]),
[final] ).
cnf(c_0_2605,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_1889,c_0_2166]),c_0_706]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_5,e_3,e_2)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1255]),
[final] ).
cnf(c_0_2607,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2394,c_0_1611]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_2395]),c_0_2118])]),
[final] ).
cnf(c_0_2609,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_2396]),c_0_2118])]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_2261]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_2611,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_2262]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_2615,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_2401]),c_0_2402]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1388]),c_0_244]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2403,c_0_1650]),
[final] ).
cnf(c_0_2620,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2407,c_0_2408]),c_0_2409]),
[final] ).
cnf(c_0_2621,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2410,c_0_2411]),c_0_2412]),
[final] ).
cnf(c_0_2622,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2413,c_0_570]),
[final] ).
cnf(c_0_2623,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2375,c_0_2414]),c_0_453]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2415,c_0_1918]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1545,c_0_1408]),c_0_1537]),c_0_2416]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_4,e_5)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1911]),
[final] ).
cnf(c_0_2627,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_478,c_0_1181]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_894,c_0_1133]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2418,c_0_2419]),
[final] ).
cnf(c_0_2631,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1190,c_0_692]),c_0_694]),c_0_695]),c_0_2420]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_2421]),c_0_692]),
[final] ).
cnf(c_0_2633,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_2422,c_0_706]),
[final] ).
cnf(c_0_2634,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_966,c_0_706]),
[final] ).
cnf(c_0_2635,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_960,c_0_706]),
[final] ).
cnf(c_0_2636,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_958,c_0_706]),
[final] ).
cnf(c_0_2637,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_913,c_0_706]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_676,c_0_706]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_606,c_0_706]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_617,c_0_706]),
[final] ).
cnf(c_0_2643,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_2644,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_2645,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_2646,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_2651,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1183]),c_0_374]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2428]),
[final] ).
cnf(c_0_2667,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2429]),
[final] ).
cnf(c_0_2668,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_140,c_0_2429]),
[final] ).
cnf(c_0_2669,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2430]),
[final] ).
cnf(c_0_2670,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2431]),
[final] ).
cnf(c_0_2671,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2432]),
[final] ).
cnf(c_0_2672,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2433]),
[final] ).
cnf(c_0_2673,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2434]),
[final] ).
cnf(c_0_2674,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2435]),
[final] ).
cnf(c_0_2675,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2436,c_0_1769]),
[final] ).
cnf(c_0_2676,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2437,c_0_1769]),
[final] ).
cnf(c_0_2677,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2438,c_0_1769]),
[final] ).
cnf(c_0_2678,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2439,c_0_1769]),
[final] ).
cnf(c_0_2679,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2440]),
[final] ).
cnf(c_0_2680,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2441]),
[final] ).
cnf(c_0_2681,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2442]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2443]),
[final] ).
cnf(c_0_2683,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2444]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2445]),
[final] ).
cnf(c_0_2685,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2446,c_0_1769]),
[final] ).
cnf(c_0_2686,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2447]),
[final] ).
cnf(c_0_2687,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_422,c_0_2430]),
[final] ).
cnf(c_0_2688,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_422,c_0_2431]),
[final] ).
cnf(c_0_2689,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2448]),
[final] ).
cnf(c_0_2690,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2305]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2449]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2450]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2308]),
[final] ).
cnf(c_0_2694,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2451]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2452]),
[final] ).
cnf(c_0_2696,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2231]),
[final] ).
cnf(c_0_2697,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2453]),
[final] ).
cnf(c_0_2698,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2454]),
[final] ).
cnf(c_0_2699,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_2455,c_0_1679]),
[final] ).
cnf(c_0_2700,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2456]),
[final] ).
cnf(c_0_2701,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2457]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2067]),
[final] ).
cnf(c_0_2703,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2067]),
[final] ).
cnf(c_0_2704,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2293]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2293]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2294]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2294]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2295]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2295]),
[final] ).
cnf(c_0_2710,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2296]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2296]),
[final] ).
cnf(c_0_2712,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2194]),
[final] ).
cnf(c_0_2713,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2194]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2195]),
[final] ).
cnf(c_0_2715,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2195]),
[final] ).
cnf(c_0_2716,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2196]),
[final] ).
cnf(c_0_2717,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2196]),
[final] ).
cnf(c_0_2718,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2197]),
[final] ).
cnf(c_0_2719,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2197]),
[final] ).
cnf(c_0_2720,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2121]),
[final] ).
cnf(c_0_2721,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2458]),
[final] ).
cnf(c_0_2722,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2459,c_0_2460]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2459,c_0_2461]),
[final] ).
cnf(c_0_2724,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2459,c_0_2330]),
[final] ).
cnf(c_0_2725,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2068]),
[final] ).
cnf(c_0_2726,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2462]),
[final] ).
cnf(c_0_2727,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2463]),
[final] ).
cnf(c_0_2728,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2320]),
[final] ).
cnf(c_0_2729,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1999]),
[final] ).
cnf(c_0_2730,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2464]),
[final] ).
cnf(c_0_2731,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2465]),
[final] ).
cnf(c_0_2732,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1938]),
[final] ).
cnf(c_0_2733,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2466]),
[final] ).
cnf(c_0_2734,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2216,c_0_2444]),c_0_706]),c_0_2217]),
[final] ).
cnf(c_0_2735,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2467]),
[final] ).
cnf(c_0_2736,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2468]),
[final] ).
cnf(c_0_2737,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2469]),
[final] ).
cnf(c_0_2738,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2198]),
[final] ).
cnf(c_0_2739,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2199]),
[final] ).
cnf(c_0_2740,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2200]),
[final] ).
cnf(c_0_2741,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2201]),
[final] ).
cnf(c_0_2742,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2202]),
[final] ).
cnf(c_0_2743,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2470]),c_0_1187])]),
[final] ).
cnf(c_0_2744,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2032]),
[final] ).
cnf(c_0_2745,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_2471]),c_0_1187])]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2203]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2472]),
[final] ).
cnf(c_0_2748,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2472]),
[final] ).
cnf(c_0_2749,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2472]),
[final] ).
cnf(c_0_2750,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2473]),
[final] ).
cnf(c_0_2751,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2123]),
[final] ).
cnf(c_0_2752,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2125]),
[final] ).
cnf(c_0_2753,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2000]),
[final] ).
cnf(c_0_2754,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2126]),
[final] ).
cnf(c_0_2755,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1969]),
[final] ).
cnf(c_0_2756,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1939]),
[final] ).
cnf(c_0_2757,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2474]),
[final] ).
cnf(c_0_2758,plain,
( ~ product(e_3,e_5,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_2184]),
[final] ).
cnf(c_0_2759,plain,
( ~ product(e_4,e_4,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_2184]),
[final] ).
cnf(c_0_2760,plain,
( ~ product(e_4,e_3,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_374,c_0_2184]),
[final] ).
cnf(c_0_2761,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_2475,c_0_1255]),
[final] ).
cnf(c_0_2762,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2447]),
[final] ).
cnf(c_0_2763,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2476]),
[final] ).
cnf(c_0_2764,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2324]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2477,c_0_2478]),c_0_438]),
[final] ).
cnf(c_0_2766,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2479,c_0_2478]),c_0_438]),
[final] ).
cnf(c_0_2767,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2480]),
[final] ).
cnf(c_0_2768,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2481]),
[final] ).
cnf(c_0_2769,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2481]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_2481]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2318]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2482,c_0_2461]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2461]),
[final] ).
cnf(c_0_2774,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2482,c_0_2330]),
[final] ).
cnf(c_0_2775,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2483,c_0_2045]),
[final] ).
cnf(c_0_2776,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2482,c_0_2460]),
[final] ).
cnf(c_0_2777,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2460]),
[final] ).
cnf(c_0_2778,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_195,c_0_2484]),
[final] ).
cnf(c_0_2779,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1966]),
[final] ).
cnf(c_0_2780,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2485]),
[final] ).
cnf(c_0_2781,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2485]),
[final] ).
cnf(c_0_2782,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2485]),
[final] ).
cnf(c_0_2783,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2189]),
[final] ).
cnf(c_0_2784,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2006]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2486]),
[final] ).
cnf(c_0_2786,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2325]),
[final] ).
cnf(c_0_2787,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2046,c_0_1935]),
[final] ).
cnf(c_0_2788,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1935]),
[final] ).
cnf(c_0_2789,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2366]),
[final] ).
cnf(c_0_2790,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2282]),
[final] ).
cnf(c_0_2791,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2282]),
[final] ).
cnf(c_0_2792,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2282]),
[final] ).
cnf(c_0_2793,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2303]),
[final] ).
cnf(c_0_2794,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2303]),
[final] ).
cnf(c_0_2795,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2487]),
[final] ).
cnf(c_0_2796,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2487]),
[final] ).
cnf(c_0_2797,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2487]),
[final] ).
cnf(c_0_2798,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2488]),
[final] ).
cnf(c_0_2799,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2488]),
[final] ).
cnf(c_0_2800,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2488]),
[final] ).
cnf(c_0_2801,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2489]),
[final] ).
cnf(c_0_2802,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_2489]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_2489]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2490]),
[final] ).
cnf(c_0_2805,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2490]),
[final] ).
cnf(c_0_2806,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_2490]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2240]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2305]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1975]),
[final] ).
cnf(c_0_2810,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2482,c_0_2233]),
[final] ).
cnf(c_0_2811,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2482,c_0_1603]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2482,c_0_1659]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2206]),
[final] ).
cnf(c_0_2814,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2333]),
[final] ).
cnf(c_0_2815,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2333]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_140,c_0_2491]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_2491]),
[final] ).
cnf(c_0_2818,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_216,c_0_2491]),
[final] ).
cnf(c_0_2819,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_2491]),
[final] ).
cnf(c_0_2820,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_381,c_0_2492]),
[final] ).
cnf(c_0_2821,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2336,c_0_2493]),
[final] ).
cnf(c_0_2822,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2336,c_0_2227]),
[final] ).
cnf(c_0_2823,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2494,c_0_2495]),
[final] ).
cnf(c_0_2824,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_2496]),c_0_1798]),
[final] ).
cnf(c_0_2825,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_374,c_0_2495]),
[final] ).
cnf(c_0_2826,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_2224]),
[final] ).
cnf(c_0_2827,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2255,c_0_2495]),c_0_396]),
[final] ).
cnf(c_0_2828,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_453,c_0_2142]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_137,c_0_2142]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_2142]),c_0_1815]),
[final] ).
cnf(c_0_2831,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2497,c_0_2047]),c_0_2498]),
[final] ).
cnf(c_0_2832,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2047]),
[final] ).
cnf(c_0_2833,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2241]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2241]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2499]),
[final] ).
cnf(c_0_2836,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2499]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2186]),
[final] ).
cnf(c_0_2838,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2242]),
[final] ).
cnf(c_0_2839,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2081]),
[final] ).
cnf(c_0_2840,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2082]),
[final] ).
cnf(c_0_2841,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2500]),
[final] ).
cnf(c_0_2842,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2308]),
[final] ).
cnf(c_0_2843,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2129]),
[final] ).
cnf(c_0_2844,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2501]),
[final] ).
cnf(c_0_2845,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2451]),
[final] ).
cnf(c_0_2846,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2502]),
[final] ).
cnf(c_0_2847,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2503]),
[final] ).
cnf(c_0_2848,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2503]),
[final] ).
cnf(c_0_2849,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2503]),
[final] ).
cnf(c_0_2850,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2504]),
[final] ).
cnf(c_0_2851,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2128]),
[final] ).
cnf(c_0_2852,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2505]),
[final] ).
cnf(c_0_2853,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2506,c_0_1609]),
[final] ).
cnf(c_0_2854,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1888]),
[final] ).
cnf(c_0_2855,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2452]),
[final] ).
cnf(c_0_2856,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2246]),
[final] ).
cnf(c_0_2857,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2507,c_0_1911]),
[final] ).
cnf(c_0_2858,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_2508]),
[final] ).
cnf(c_0_2859,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2509]),
[final] ).
cnf(c_0_2860,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2510]),
[final] ).
cnf(c_0_2861,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_195,c_0_2155]),
[final] ).
cnf(c_0_2862,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2511]),
[final] ).
cnf(c_0_2863,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_140,c_0_2457]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_380,c_0_2119]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_374,c_0_2119]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_2192]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_2192]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_2192]),c_0_142]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_2193]),c_0_158]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2193]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_2193]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2137,c_0_2067]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_119,c_0_2067]),
[final] ).
cnf(c_0_2874,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2512,c_0_1911]),
[final] ).
cnf(c_0_2875,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2194]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_119,c_0_2195]),
[final] ).
cnf(c_0_2877,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_2196]),
[final] ).
cnf(c_0_2878,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2197]),
[final] ).
cnf(c_0_2879,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2513,c_0_2478]),c_0_1941]),
[final] ).
cnf(c_0_2880,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2514,c_0_2478]),c_0_1843]),c_0_1842]),c_0_1941]),c_0_1865]),
[final] ).
cnf(c_0_2881,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_2458]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2213]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_216,c_0_2213]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_5,e_2)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2515]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_2319]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_2463]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_2320]),
[final] ).
cnf(c_0_2888,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2516,c_0_1911]),
[final] ).
cnf(c_0_2889,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_1999]),
[final] ).
cnf(c_0_2890,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_1999]),c_0_248]),
[final] ).
cnf(c_0_2891,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_2,e_3,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2517]),
[final] ).
cnf(c_0_2892,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_78,c_0_1938]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1861]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2518]),
[final] ).
cnf(c_0_2895,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2519]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2350]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2093]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2520]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2521]),
[final] ).
cnf(c_0_2900,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_2042]),
[final] ).
cnf(c_0_2901,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_2143]),
[final] ).
cnf(c_0_2902,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2313]),
[final] ).
cnf(c_0_2903,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_2313]),
[final] ).
cnf(c_0_2904,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_2313]),
[final] ).
cnf(c_0_2905,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2522]),
[final] ).
cnf(c_0_2906,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_2522]),
[final] ).
cnf(c_0_2907,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_2522]),
[final] ).
cnf(c_0_2908,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2523]),
[final] ).
cnf(c_0_2909,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2524]),
[final] ).
cnf(c_0_2910,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2524]),
[final] ).
cnf(c_0_2911,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2352]),
[final] ).
cnf(c_0_2912,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2352]),
[final] ).
cnf(c_0_2913,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2236]),
[final] ).
cnf(c_0_2914,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2151]),
[final] ).
cnf(c_0_2915,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2525]),
[final] ).
cnf(c_0_2916,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2466]),
[final] ).
cnf(c_0_2917,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2526]),
[final] ).
cnf(c_0_2918,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2162]),
[final] ).
cnf(c_0_2919,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_2467]),
[final] ).
cnf(c_0_2920,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_2468]),
[final] ).
cnf(c_0_2921,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_2083]),
[final] ).
cnf(c_0_2922,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_216,c_0_2083]),
[final] ).
cnf(c_0_2923,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2083]),
[final] ).
cnf(c_0_2924,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2147]),
[final] ).
cnf(c_0_2925,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_380,c_0_2147]),
[final] ).
cnf(c_0_2926,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_2147]),
[final] ).
cnf(c_0_2927,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_2469]),
[final] ).
cnf(c_0_2928,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2527,c_0_1911]),
[final] ).
cnf(c_0_2929,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2528,c_0_1911]),
[final] ).
cnf(c_0_2930,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2529,c_0_1911]),
[final] ).
cnf(c_0_2931,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2530,c_0_1911]),
[final] ).
cnf(c_0_2932,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2198]),
[final] ).
cnf(c_0_2933,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_260,c_0_2199]),
[final] ).
cnf(c_0_2934,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2200]),
[final] ).
cnf(c_0_2935,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_260,c_0_2201]),
[final] ).
cnf(c_0_2936,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2531]),
[final] ).
cnf(c_0_2937,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_260,c_0_2532]),
[final] ).
cnf(c_0_2938,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2032]),
[final] ).
cnf(c_0_2939,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2327]),
[final] ).
cnf(c_0_2940,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_260,c_0_2328]),
[final] ).
cnf(c_0_2941,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_260,c_0_2203]),
[final] ).
cnf(c_0_2942,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2473]),
[final] ).
cnf(c_0_2943,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1492,c_0_2000]),
[final] ).
cnf(c_0_2944,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2533,c_0_1593]),
[final] ).
cnf(c_0_2945,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1091,c_0_1939]),
[final] ).
cnf(c_0_2946,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2534]),
[final] ).
cnf(c_0_2947,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_2534]),
[final] ).
cnf(c_0_2948,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_2534]),
[final] ).
cnf(c_0_2949,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_4,e_1,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2535]),
[final] ).
cnf(c_0_2950,plain,
( ~ product(e_4,e_3,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2474]),
[final] ).
cnf(c_0_2951,plain,
( ~ product(e_5,e_2,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_2474]),
[final] ).
cnf(c_0_2952,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2536]),
[final] ).
cnf(c_0_2953,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_2536]),
[final] ).
cnf(c_0_2954,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_2536]),
[final] ).
cnf(c_0_2955,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2537,c_0_1609]),
[final] ).
cnf(c_0_2956,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2538,c_0_1609]),
[final] ).
cnf(c_0_2957,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2539,c_0_1911]),
[final] ).
cnf(c_0_2958,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2540,c_0_1911]),
[final] ).
cnf(c_0_2959,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_260,c_0_2541]),
[final] ).
cnf(c_0_2960,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2542,c_0_1911]),
[final] ).
cnf(c_0_2961,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1635,c_0_2285]),
[final] ).
cnf(c_0_2962,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1635,c_0_2286]),
[final] ).
cnf(c_0_2963,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2543]),
[final] ).
cnf(c_0_2964,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_1,e_3)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2544]),
[final] ).
cnf(c_0_2965,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_1966]),
[final] ).
cnf(c_0_2966,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_5,e_1)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2544]),
[final] ).
cnf(c_0_2967,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_2545]),c_0_1998]),
[final] ).
cnf(c_0_2968,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2546,c_0_1911]),
[final] ).
cnf(c_0_2969,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2547,c_0_1911]),
[final] ).
cnf(c_0_2970,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2364,c_0_2548]),c_0_82]),
[final] ).
cnf(c_0_2971,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_5,e_1)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2549,c_0_2001]),
[final] ).
cnf(c_0_2972,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_5,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2550,c_0_2001]),
[final] ).
cnf(c_0_2973,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_5,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2551,c_0_2001]),
[final] ).
cnf(c_0_2974,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_5,e_1)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2552,c_0_2001]),
[final] ).
cnf(c_0_2975,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2553,c_0_2554]),
[final] ).
cnf(c_0_2976,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2555,c_0_1511]),
[final] ).
cnf(c_0_2977,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1635,c_0_2544]),
[final] ).
cnf(c_0_2978,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2556,c_0_2037]),
[final] ).
cnf(c_0_2979,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_5,e_1)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2001]),
[final] ).
cnf(c_0_2980,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_5,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2046,c_0_1970]),
[final] ).
cnf(c_0_2981,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_2,e_5,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1970]),
[final] ).
cnf(c_0_2982,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2011]),
[final] ).
cnf(c_0_2983,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_2325]),
[final] ).
cnf(c_0_2984,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1942,c_0_1911]),
[final] ).
cnf(c_0_2985,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2337,c_0_1970]),
[final] ).
cnf(c_0_2986,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2066,c_0_1970]),
[final] ).
cnf(c_0_2987,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2557,c_0_1970]),
[final] ).
cnf(c_0_2988,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_1935]),
[final] ).
cnf(c_0_2989,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_2366]),
[final] ).
cnf(c_0_2990,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2558,c_0_1911]),
[final] ).
cnf(c_0_2991,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2011]),
[final] ).
cnf(c_0_2992,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2559,c_0_2039]),
[final] ).
cnf(c_0_2993,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1635,c_0_2011]),
[final] ).
cnf(c_0_2994,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_260,c_0_2206]),
[final] ).
cnf(c_0_2995,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2333]),
[final] ).
cnf(c_0_2996,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2047]),
[final] ).
cnf(c_0_2997,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_2241]),
[final] ).
cnf(c_0_2998,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_119,c_0_2499]),
[final] ).
cnf(c_0_2999,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2376,c_0_2374]),
[final] ).
cnf(c_0_3000,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2560]),
[final] ).
cnf(c_0_3001,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_2504]),
[final] ).
cnf(c_0_3002,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_2560]),
[final] ).
cnf(c_0_3003,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2071]),
[final] ).
cnf(c_0_3004,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2226]),
[final] ).
cnf(c_0_3005,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2379,c_0_1923]),
[final] ).
cnf(c_0_3006,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1923]),
[final] ).
cnf(c_0_3007,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2078]),
[final] ).
cnf(c_0_3008,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2130,c_0_2343]),
[final] ).
cnf(c_0_3009,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2343]),
[final] ).
cnf(c_0_3010,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_3,e_5,e_4)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2371]),
[final] ).
cnf(c_0_3011,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_3,e_5,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2561]),
[final] ).
cnf(c_0_3012,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_3,e_5,e_4)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2341,c_0_2245]),
[final] ).
cnf(c_0_3013,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_5,e_4)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2245]),
[final] ).
cnf(c_0_3014,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_2510]),
[final] ).
cnf(c_0_3015,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_374,c_0_2510]),
[final] ).
cnf(c_0_3016,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2225,c_0_2245]),
[final] ).
cnf(c_0_3017,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2375,c_0_2245]),
[final] ).
cnf(c_0_3018,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_379,c_0_2245]),
[final] ).
cnf(c_0_3019,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_2,e_4,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2506,c_0_1679]),
[final] ).
cnf(c_0_3020,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1916]),
[final] ).
cnf(c_0_3021,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_4,e_2,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2369,c_0_2554]),
[final] ).
cnf(c_0_3022,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_4,e_2,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2292,c_0_2554]),
[final] ).
cnf(c_0_3023,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_4,e_2,e_1)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2554]),
[final] ).
cnf(c_0_3024,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_4,e_2,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2338]),
[final] ).
cnf(c_0_3025,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2497,c_0_2338]),
[final] ).
cnf(c_0_3026,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_4,e_2,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2338]),
[final] ).
cnf(c_0_3027,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_5)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1948]),
[final] ).
cnf(c_0_3028,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2137,c_0_2338]),
[final] ).
cnf(c_0_3029,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2562,c_0_2338]),
[final] ).
cnf(c_0_3030,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2331,c_0_2338]),
[final] ).
cnf(c_0_3031,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1934,c_0_2338]),
[final] ).
cnf(c_0_3032,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1523,c_0_2338]),
[final] ).
cnf(c_0_3033,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1765,c_0_2338]),
[final] ).
cnf(c_0_3034,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_2071]),
[final] ).
cnf(c_0_3035,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_2078]),
[final] ).
cnf(c_0_3036,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2563]),
[final] ).
cnf(c_0_3037,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2040]),
[final] ).
cnf(c_0_3038,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2564]),
[final] ).
cnf(c_0_3039,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2565,c_0_1679]),
[final] ).
cnf(c_0_3040,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2566]),
[final] ).
cnf(c_0_3041,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2567]),
[final] ).
cnf(c_0_3042,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2568]),
[final] ).
cnf(c_0_3043,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1976]),
[final] ).
cnf(c_0_3044,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_3,e_5,e_2)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2041]),
[final] ).
cnf(c_0_3045,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_4,e_5,e_2)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2569]),
[final] ).
cnf(c_0_3046,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2376,c_0_2236]),
[final] ).
cnf(c_0_3047,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_5,e_3,e_4)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1898]),
[final] ).
cnf(c_0_3048,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2248]),
[final] ).
cnf(c_0_3049,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1881]),
[final] ).
cnf(c_0_3050,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1913]),
[final] ).
cnf(c_0_3051,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2007,c_0_1802]),
[final] ).
cnf(c_0_3052,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2007,c_0_1666]),
[final] ).
cnf(c_0_3053,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_1,e_2,e_5)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2478]),
[final] ).
cnf(c_0_3054,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1864]),
[final] ).
cnf(c_0_3055,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2376,c_0_1658]),
[final] ).
cnf(c_0_3056,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1365,c_0_2478]),
[final] ).
cnf(c_0_3057,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1476,c_0_2478]),c_0_438]),
[final] ).
cnf(c_0_3058,plain,
( ~ product(e_1,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_2478]),
[final] ).
cnf(c_0_3059,plain,
( ~ product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_2478]),
[final] ).
cnf(c_0_3060,plain,
( ~ product(e_2,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_1913]),
[final] ).
cnf(c_0_3061,negated_conjecture,
( ~ product(X1,e_5,e_5)
| product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2051]),
[final] ).
cnf(c_0_3062,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_5)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2570,c_0_1800]),
[final] ).
cnf(c_0_3063,negated_conjecture,
( ~ product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_1)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2570,c_0_1679]),
[final] ).
cnf(c_0_3064,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2571]),
[final] ).
cnf(c_0_3065,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_2519]),
[final] ).
cnf(c_0_3066,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_2572]),
[final] ).
cnf(c_0_3067,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2379,c_0_2227]),c_0_2375]),
[final] ).
cnf(c_0_3068,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_315,c_0_2150]),
[final] ).
cnf(c_0_3069,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_2573]),c_0_2574]),
[final] ).
cnf(c_0_3070,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_2520]),
[final] ).
cnf(c_0_3071,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_374,c_0_2521]),
[final] ).
cnf(c_0_3072,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2321]),
[final] ).
cnf(c_0_3073,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2575,c_0_1830]),
[final] ).
cnf(c_0_3074,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_3,e_5,e_2)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2042]),
[final] ).
cnf(c_0_3075,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1553,c_0_1977]),c_0_1181]),c_0_1497]),c_0_1272]),
[final] ).
cnf(c_0_3076,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_90,c_0_1977]),
[final] ).
cnf(c_0_3077,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2576,c_0_1830]),
[final] ).
cnf(c_0_3078,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_4,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2577,c_0_1679]),
[final] ).
cnf(c_0_3079,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2381,c_0_2059]),
[final] ).
cnf(c_0_3080,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1656]),
[final] ).
cnf(c_0_3081,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_195,c_0_1625]),
[final] ).
cnf(c_0_3082,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_2578]),c_0_379]),
[final] ).
cnf(c_0_3083,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2056]),
[final] ).
cnf(c_0_3084,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_119,c_0_2352]),
[final] ).
cnf(c_0_3085,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2353,c_0_1876]),
[final] ).
cnf(c_0_3086,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2353,c_0_2039]),
[final] ).
cnf(c_0_3087,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_2151]),c_0_157]),
[final] ).
cnf(c_0_3088,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_2151]),
[final] ).
cnf(c_0_3089,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_2151]),c_0_1998]),
[final] ).
cnf(c_0_3090,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2368]),
[final] ).
cnf(c_0_3091,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_3,e_1,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2548]),
[final] ).
cnf(c_0_3092,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2152]),
[final] ).
cnf(c_0_3093,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2368]),
[final] ).
cnf(c_0_3094,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_216,c_0_2368]),
[final] ).
cnf(c_0_3095,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_2368]),
[final] ).
cnf(c_0_3096,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_2526]),
[final] ).
cnf(c_0_3097,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_2162]),c_0_161]),
[final] ).
cnf(c_0_3098,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2579,c_0_1511]),
[final] ).
cnf(c_0_3099,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1922,c_0_2493]),
[final] ).
cnf(c_0_3100,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_5)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1896]),
[final] ).
cnf(c_0_3101,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2096]),
[final] ).
cnf(c_0_3102,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2369,c_0_1649]),
[final] ).
cnf(c_0_3103,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1908,c_0_2580]),c_0_377]),
[final] ).
cnf(c_0_3104,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_4,e_5,e_3)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2046,c_0_2581]),
[final] ).
cnf(c_0_3105,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_4,e_5,e_3)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2497,c_0_2581]),
[final] ).
cnf(c_0_3106,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_4,e_5,e_3)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2581]),
[final] ).
cnf(c_0_3107,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_379,c_0_2580]),
[final] ).
cnf(c_0_3108,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2097,c_0_2039]),
[final] ).
cnf(c_0_3109,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2582,c_0_2581]),
[final] ).
cnf(c_0_3110,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2562,c_0_2581]),
[final] ).
cnf(c_0_3111,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2557,c_0_2581]),
[final] ).
cnf(c_0_3112,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1523,c_0_2581]),
[final] ).
cnf(c_0_3113,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1765,c_0_2581]),
[final] ).
cnf(c_0_3114,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_2058]),
[final] ).
cnf(c_0_3115,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2583]),
[final] ).
cnf(c_0_3116,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1872]),
[final] ).
cnf(c_0_3117,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1858]),
[final] ).
cnf(c_0_3118,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1860]),
[final] ).
cnf(c_0_3119,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2584,c_0_2585]),
[final] ).
cnf(c_0_3120,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_2586,c_0_1749]),
[final] ).
cnf(c_0_3121,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2098]),
[final] ).
cnf(c_0_3122,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_374,c_0_2571]),
[final] ).
cnf(c_0_3123,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_5,e_3,e_2)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2130,c_0_1255]),
[final] ).
cnf(c_0_3124,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2388]),
[final] ).
cnf(c_0_3125,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_3,e_5,e_2)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1873]),
[final] ).
cnf(c_0_3126,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2587,c_0_1911]),
[final] ).
cnf(c_0_3127,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2103,c_0_2039]),
[final] ).
cnf(c_0_3128,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2588,c_0_1911]),
[final] ).
cnf(c_0_3129,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_140,c_0_1725]),
[final] ).
cnf(c_0_3130,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1725]),
[final] ).
cnf(c_0_3131,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1725]),
[final] ).
cnf(c_0_3132,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_216,c_0_1725]),
[final] ).
cnf(c_0_3133,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_1725]),
[final] ).
cnf(c_0_3134,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_2537,c_0_1800]),
[final] ).
cnf(c_0_3135,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_2537,c_0_1679]),
[final] ).
cnf(c_0_3136,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_2589,c_0_1679]),
[final] ).
cnf(c_0_3137,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2538,c_0_1800]),
[final] ).
cnf(c_0_3138,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2538,c_0_1679]),
[final] ).
cnf(c_0_3139,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_4,e_5)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2590,c_0_1911]),
[final] ).
cnf(c_0_3140,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_1770]),
[final] ).
cnf(c_0_3141,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2591,c_0_2585]),
[final] ).
cnf(c_0_3142,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_5,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2590,c_0_1943]),
[final] ).
cnf(c_0_3143,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_3,e_5,e_2)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2592]),
[final] ).
cnf(c_0_3144,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1871,c_0_1893]),
[final] ).
cnf(c_0_3145,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2250]),
[final] ).
cnf(c_0_3146,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_2,e_3,e_5)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2017,c_0_1800]),
[final] ).
cnf(c_0_3147,negated_conjecture,
( ~ product(X1,e_5,e_1)
| ~ product(e_2,e_4,e_1)
| product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2017,c_0_1679]),
[final] ).
cnf(c_0_3148,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2593,c_0_1261]),
[final] ).
cnf(c_0_3149,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2322]),
[final] ).
cnf(c_0_3150,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1836]),
[final] ).
cnf(c_0_3151,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_5)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2593,c_0_1911]),
[final] ).
cnf(c_0_3152,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_5,e_1)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2593,c_0_1943]),
[final] ).
cnf(c_0_3153,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1727]),
[final] ).
cnf(c_0_3154,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_1666]),
[final] ).
cnf(c_0_3155,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_1656]),
[final] ).
cnf(c_0_3156,negated_conjecture,
( ~ product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1658]),
[final] ).
cnf(c_0_3157,negated_conjecture,
( ~ product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1649]),
[final] ).
cnf(c_0_3158,negated_conjecture,
( ~ product(X1,e_5,e_2)
| ~ product(e_2,e_3,e_4)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2253]),
[final] ).
cnf(c_0_3159,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_1649]),
[final] ).
cnf(c_0_3160,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_4)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1894]),
[final] ).
cnf(c_0_3161,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1637]),
[final] ).
cnf(c_0_3162,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2594]),
[final] ).
cnf(c_0_3163,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_381,c_0_2289]),
[final] ).
cnf(c_0_3164,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2595,c_0_1800]),
[final] ).
cnf(c_0_3165,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_4)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1625]),
[final] ).
cnf(c_0_3166,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_5)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2596]),
[final] ).
cnf(c_0_3167,negated_conjecture,
( ~ product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_5)
| product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_2597,c_0_1691]),
[final] ).
cnf(c_0_3168,negated_conjecture,
( ~ product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_2598,c_0_1691]),
[final] ).
cnf(c_0_3169,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_5)
| product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_2599,c_0_1691]),
[final] ).
cnf(c_0_3170,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_5)
| product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1691]),
[final] ).
cnf(c_0_3171,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_1625]),
[final] ).
cnf(c_0_3172,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_4)
| product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1616]),
[final] ).
cnf(c_0_3173,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2600]),
[final] ).
cnf(c_0_3174,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_381,c_0_2601]),
[final] ).
cnf(c_0_3175,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2602,c_0_1609]),
[final] ).
cnf(c_0_3176,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2096]),
[final] ).
cnf(c_0_3177,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1541,c_0_1943]),c_0_374]),
[final] ).
cnf(c_0_3178,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_158,c_0_1532]),
[final] ).
cnf(c_0_3179,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2603]),
[final] ).
cnf(c_0_3180,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2169]),
[final] ).
cnf(c_0_3181,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2604]),
[final] ).
cnf(c_0_3182,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_78,c_0_2603]),
[final] ).
cnf(c_0_3183,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2109]),
[final] ).
cnf(c_0_3184,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1953]),
[final] ).
cnf(c_0_3185,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1928]),
[final] ).
cnf(c_0_3186,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2257]),
[final] ).
cnf(c_0_3187,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2605]),
[final] ).
cnf(c_0_3188,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2606,c_0_2166]),
[final] ).
cnf(c_0_3189,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2166]),
[final] ).
cnf(c_0_3190,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1635,c_0_2169]),
[final] ).
cnf(c_0_3191,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_2604]),
[final] ).
cnf(c_0_3192,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2607]),
[final] ).
cnf(c_0_3193,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_244,c_0_1811]),
[final] ).
cnf(c_0_3194,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_453,c_0_1784]),
[final] ).
cnf(c_0_3195,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2608]),
[final] ).
cnf(c_0_3196,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2609]),
[final] ).
cnf(c_0_3197,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2610]),
[final] ).
cnf(c_0_3198,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2261]),
[final] ).
cnf(c_0_3199,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2072]),
[final] ).
cnf(c_0_3200,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2611]),
[final] ).
cnf(c_0_3201,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2262]),
[final] ).
cnf(c_0_3202,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2073]),
[final] ).
cnf(c_0_3203,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_2261]),
[final] ).
cnf(c_0_3204,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_2262]),
[final] ).
cnf(c_0_3205,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2612,c_0_1255]),
[final] ).
cnf(c_0_3206,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1910]),
[final] ).
cnf(c_0_3207,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2009]),
[final] ).
cnf(c_0_3208,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1856]),
[final] ).
cnf(c_0_3209,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_1818]),c_0_82]),
[final] ).
cnf(c_0_3210,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_2613]),c_0_159]),
[final] ).
cnf(c_0_3211,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_2614]),c_0_159]),
[final] ).
cnf(c_0_3212,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1509]),
[final] ).
cnf(c_0_3213,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2615]),
[final] ).
cnf(c_0_3214,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1614]),
[final] ).
cnf(c_0_3215,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1614]),c_0_379]),
[final] ).
cnf(c_0_3216,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2230]),
[final] ).
cnf(c_0_3217,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_2230]),
[final] ).
cnf(c_0_3218,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1611]),
[final] ).
cnf(c_0_3219,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2062]),
[final] ).
cnf(c_0_3220,negated_conjecture,
( ~ product(X1,e_4,e_3)
| ~ product(e_4,e_2,e_1)
| product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2585]),
[final] ).
cnf(c_0_3221,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1598]),
[final] ).
cnf(c_0_3222,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2616,c_0_2585]),
[final] ).
cnf(c_0_3223,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_1598]),
[final] ).
cnf(c_0_3224,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1612,c_0_1911]),
[final] ).
cnf(c_0_3225,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1612,c_0_1943]),
[final] ).
cnf(c_0_3226,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2167]),
[final] ).
cnf(c_0_3227,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1467]),
[final] ).
cnf(c_0_3228,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_1474]),
[final] ).
cnf(c_0_3229,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_1474]),
[final] ).
cnf(c_0_3230,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2019]),
[final] ).
cnf(c_0_3231,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1453]),
[final] ).
cnf(c_0_3232,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_2399]),
[final] ).
cnf(c_0_3233,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2424,c_0_1937]),c_0_453]),
[final] ).
cnf(c_0_3234,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1659]),
[final] ).
cnf(c_0_3235,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2617]),
[final] ).
cnf(c_0_3236,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1650]),
[final] ).
cnf(c_0_3237,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_1483]),
[final] ).
cnf(c_0_3238,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_374,c_0_1483]),
[final] ).
cnf(c_0_3239,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_158,c_0_1650]),
[final] ).
cnf(c_0_3240,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_422,c_0_1465]),
[final] ).
cnf(c_0_3241,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_2618]),c_0_82]),c_0_119]),
[final] ).
cnf(c_0_3242,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2400]),
[final] ).
cnf(c_0_3243,negated_conjecture,
( ~ product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_1595]),
[final] ).
cnf(c_0_3244,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1828]),c_0_2619]),
[final] ).
cnf(c_0_3245,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_1583]),c_0_216]),
[final] ).
cnf(c_0_3246,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_729,c_0_1657]),
[final] ).
cnf(c_0_3247,negated_conjecture,
( ~ product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1657]),
[final] ).
cnf(c_0_3248,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_315,c_0_1375]),
[final] ).
cnf(c_0_3249,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_1585]),
[final] ).
cnf(c_0_3250,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1638,c_0_1911]),c_0_1192]),c_0_1193]),c_0_1360]),c_0_1451]),
[final] ).
cnf(c_0_3251,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_2015]),c_0_1485]),
[final] ).
cnf(c_0_3252,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2620]),
[final] ).
cnf(c_0_3253,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2621]),
[final] ).
cnf(c_0_3254,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2622]),
[final] ).
cnf(c_0_3255,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2148]),
[final] ).
cnf(c_0_3256,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2269]),
[final] ).
cnf(c_0_3257,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1396]),
[final] ).
cnf(c_0_3258,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1763]),
[final] ).
cnf(c_0_3259,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2090]),
[final] ).
cnf(c_0_3260,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1488]),
[final] ).
cnf(c_0_3261,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_2269]),
[final] ).
cnf(c_0_3262,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2175]),
[final] ).
cnf(c_0_3263,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_2090]),
[final] ).
cnf(c_0_3264,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_359,c_0_1488]),
[final] ).
cnf(c_0_3265,negated_conjecture,
( ~ product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_2623]),
[final] ).
cnf(c_0_3266,negated_conjecture,
( ~ product(X1,e_5,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1823]),
[final] ).
cnf(c_0_3267,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1373]),
[final] ).
cnf(c_0_3268,negated_conjecture,
( ~ product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_1)
| product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1647]),
[final] ).
cnf(c_0_3269,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1357]),
[final] ).
cnf(c_0_3270,plain,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_1363]),
[final] ).
cnf(c_0_3271,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_1577]),
[final] ).
cnf(c_0_3272,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1350]),
[final] ).
cnf(c_0_3273,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1521]),
[final] ).
cnf(c_0_3274,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1498]),
[final] ).
cnf(c_0_3275,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_380,c_0_1350]),
[final] ).
cnf(c_0_3276,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1348]),c_0_1349]),
[final] ).
cnf(c_0_3277,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1476,c_0_1967]),
[final] ).
cnf(c_0_3278,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_5,e_1)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1943]),
[final] ).
cnf(c_0_3279,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2624]),
[final] ).
cnf(c_0_3280,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1918]),
[final] ).
cnf(c_0_3281,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_244,c_0_2624]),
[final] ).
cnf(c_0_3282,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_1918]),
[final] ).
cnf(c_0_3283,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_453,c_0_1918]),
[final] ).
cnf(c_0_3284,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1925]),
[final] ).
cnf(c_0_3285,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_90,c_0_1925]),
[final] ).
cnf(c_0_3286,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_1925]),
[final] ).
cnf(c_0_3287,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_248,c_0_1925]),
[final] ).
cnf(c_0_3288,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_140,c_0_1455]),
[final] ).
cnf(c_0_3289,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_1455]),
[final] ).
cnf(c_0_3290,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1455]),
[final] ).
cnf(c_0_3291,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_216,c_0_1455]),
[final] ).
cnf(c_0_3292,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1250]),
[final] ).
cnf(c_0_3293,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1448]),
[final] ).
cnf(c_0_3294,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1456]),
[final] ).
cnf(c_0_3295,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1430]),
[final] ).
cnf(c_0_3296,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_2625]),
[final] ).
cnf(c_0_3297,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_315,c_0_1233]),
[final] ).
cnf(c_0_3298,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_2228]),
[final] ).
cnf(c_0_3299,negated_conjecture,
( ~ product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_1)
| product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1967]),
[final] ).
cnf(c_0_3300,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_4)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_2626,c_0_526]),
[final] ).
cnf(c_0_3301,negated_conjecture,
( ~ product(X1,e_3,e_2)
| ~ product(e_2,e_3,e_1)
| product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_2626,c_0_1937]),
[final] ).
cnf(c_0_3302,negated_conjecture,
( ~ product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_1)
| product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1795]),
[final] ).
cnf(c_0_3303,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2627]),
[final] ).
cnf(c_0_3304,negated_conjecture,
( ~ product(X1,e_2,e_1)
| product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1187]),
[final] ).
cnf(c_0_3305,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1235]),
[final] ).
cnf(c_0_3306,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2628]),
[final] ).
cnf(c_0_3307,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_2629]),c_0_248]),c_0_374]),
[final] ).
cnf(c_0_3308,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2630]),
[final] ).
cnf(c_0_3309,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2273]),
[final] ).
cnf(c_0_3310,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_1932]),
[final] ).
cnf(c_0_3311,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_1932]),
[final] ).
cnf(c_0_3312,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_453,c_0_1932]),
[final] ).
cnf(c_0_3313,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_811]),c_0_2340]),
[final] ).
cnf(c_0_3314,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1635,c_0_811]),
[final] ).
cnf(c_0_3315,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_775]),c_0_216]),
[final] ).
cnf(c_0_3316,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_747]),c_0_380]),
[final] ).
cnf(c_0_3317,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2631]),
[final] ).
cnf(c_0_3318,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2632]),
[final] ).
cnf(c_0_3319,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_90,c_0_2632]),
[final] ).
cnf(c_0_3320,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_2632]),
[final] ).
cnf(c_0_3321,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_2275]),
[final] ).
cnf(c_0_3322,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_315,c_0_701]),
[final] ).
cnf(c_0_3323,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_684]),
[final] ).
cnf(c_0_3324,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_737]),c_0_260]),c_0_248]),
[final] ).
cnf(c_0_3325,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2633]),
[final] ).
cnf(c_0_3326,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,X1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_976]),
[final] ).
cnf(c_0_3327,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2634]),
[final] ).
cnf(c_0_3328,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(e_4,X1,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2635]),
[final] ).
cnf(c_0_3329,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(e_3,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1735]),
[final] ).
cnf(c_0_3330,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2636]),
[final] ).
cnf(c_0_3331,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(e_3,X1,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1001]),
[final] ).
cnf(c_0_3332,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1195]),
[final] ).
cnf(c_0_3333,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2637]),
[final] ).
cnf(c_0_3334,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_712]),
[final] ).
cnf(c_0_3335,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2638]),
[final] ).
cnf(c_0_3336,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_4,e_1)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2085]),
[final] ).
cnf(c_0_3337,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_1)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1634]),
[final] ).
cnf(c_0_3338,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2639]),
[final] ).
cnf(c_0_3339,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1276]),
[final] ).
cnf(c_0_3340,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,X1,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_2640]),
[final] ).
cnf(c_0_3341,negated_conjecture,
( ~ product(X1,e_2,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1622]),
[final] ).
cnf(c_0_3342,negated_conjecture,
( ~ product(X1,e_3,e_1)
| product(e_1,X1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_1145]),
[final] ).
cnf(c_0_3343,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_140,c_0_976]),
[final] ).
cnf(c_0_3344,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_976]),
[final] ).
cnf(c_0_3345,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_216,c_0_976]),
[final] ).
cnf(c_0_3346,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_2634]),
[final] ).
cnf(c_0_3347,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_2634]),
[final] ).
cnf(c_0_3348,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1635,c_0_2635]),
[final] ).
cnf(c_0_3349,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_119,c_0_1001]),
[final] ).
cnf(c_0_3350,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_1001]),
[final] ).
cnf(c_0_3351,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_453,c_0_1001]),
[final] ).
cnf(c_0_3352,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_1195]),
[final] ).
cnf(c_0_3353,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_78,c_0_2637]),
[final] ).
cnf(c_0_3354,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_712]),
[final] ).
cnf(c_0_3355,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_379,c_0_2638]),
[final] ).
cnf(c_0_3356,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_359,c_0_1276]),
[final] ).
cnf(c_0_3357,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_248,c_0_1276]),
[final] ).
cnf(c_0_3358,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_315,c_0_2640]),
[final] ).
cnf(c_0_3359,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_1145]),
[final] ).
cnf(c_0_3360,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_692]),
[final] ).
cnf(c_0_3361,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(e_5,X1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_700]),
[final] ).
cnf(c_0_3362,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_5,X1,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_680]),
[final] ).
cnf(c_0_3363,negated_conjecture,
( ~ product(X1,e_5,e_4)
| product(e_4,X1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_654]),
[final] ).
cnf(c_0_3364,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_244,c_0_692]),
[final] ).
cnf(c_0_3365,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(e_2,X1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_650]),
[final] ).
cnf(c_0_3366,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_158,c_0_680]),
[final] ).
cnf(c_0_3367,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_380,c_0_680]),
[final] ).
cnf(c_0_3368,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_453,c_0_680]),
[final] ).
cnf(c_0_3369,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_381,c_0_654]),
[final] ).
cnf(c_0_3370,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_655]),
[final] ).
cnf(c_0_3371,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_216,c_0_655]),
[final] ).
cnf(c_0_3372,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_609]),
[final] ).
cnf(c_0_3373,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(e_2,X1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_579]),
[final] ).
cnf(c_0_3374,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_244,c_0_588]),
[final] ).
cnf(c_0_3375,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_137,c_0_588]),
[final] ).
cnf(c_0_3376,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_569]),c_0_422]),
[final] ).
cnf(c_0_3377,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_2641]),c_0_260]),
[final] ).
cnf(c_0_3378,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_643]),c_0_248]),
[final] ).
cnf(c_0_3379,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_526]),
[final] ).
cnf(c_0_3380,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_2642]),c_0_157]),
[final] ).
cnf(c_0_3381,negated_conjecture,
( ~ product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_1)
| product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1937]),
[final] ).
cnf(c_0_3382,negated_conjecture,
( ~ product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_5)
| product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_430]),
[final] ).
cnf(c_0_3383,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_1220]),c_0_82]),
[final] ).
cnf(c_0_3384,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_49,c_0_2643]),
[final] ).
cnf(c_0_3385,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_49,c_0_2644]),
[final] ).
cnf(c_0_3386,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_49,c_0_2645]),
[final] ).
cnf(c_0_3387,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_49,c_0_2646]),
[final] ).
cnf(c_0_3388,negated_conjecture,
~ product(e_1,e_4,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1915,c_0_101]),c_0_85]),c_0_194]),
[final] ).
cnf(c_0_3389,negated_conjecture,
~ product(e_1,e_5,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1915,c_0_89]),c_0_85]),c_0_167]),
[final] ).
cnf(c_0_3390,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_2647]),c_0_2648]),
[final] ).
cnf(c_0_3391,plain,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_2649]),c_0_2650]),
[final] ).
cnf(c_0_3392,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1918]),c_0_1635]),
[final] ).
cnf(c_0_3393,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2651,c_0_2652]),c_0_244]),
[final] ).
cnf(c_0_3394,plain,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_425]),c_0_244]),c_0_381]),
[final] ).
cnf(c_0_3395,plain,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_416]),c_0_2653]),c_0_2654]),c_0_244]),
[final] ).
cnf(c_0_3396,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_2655]),c_0_76]),c_0_453]),c_0_1358]),c_0_137]),
[final] ).
cnf(c_0_3397,plain,
~ equalish(e_5,e_4),
c_0_2656,
[final] ).
cnf(c_0_3398,plain,
~ equalish(e_5,e_3),
c_0_2657,
[final] ).
cnf(c_0_3399,plain,
~ equalish(e_5,e_2),
c_0_2658,
[final] ).
cnf(c_0_3400,plain,
~ equalish(e_5,e_1),
c_0_2659,
[final] ).
cnf(c_0_3401,plain,
~ equalish(e_4,e_3),
c_0_2660,
[final] ).
cnf(c_0_3402,plain,
~ equalish(e_4,e_2),
c_0_2661,
[final] ).
cnf(c_0_3403,plain,
~ equalish(e_4,e_1),
c_0_2662,
[final] ).
cnf(c_0_3404,plain,
~ equalish(e_3,e_2),
c_0_2663,
[final] ).
cnf(c_0_3405,plain,
~ equalish(e_3,e_1),
c_0_2664,
[final] ).
cnf(c_0_3406,plain,
~ equalish(e_1,e_2),
c_0_2665,
[final] ).
cnf(c_0_3407,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP129-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/5.31 % Computer : n012.cluster.edu
% 0.04/5.31 % Model : x86_64 x86_64
% 0.04/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31 % Memory : 8046.5625MB
% 0.04/5.31 % OS : Linux 6.8.0-71-generic
% 0.04/5.31 % CPULimit : 300
% 0.04/5.31 % WCLimit : 300
% 0.04/5.31 % DateTime : Sun Sep 20 20:00:27 UTC 2026
% 0.04/5.32 % CPUTime :
% 0.04/5.32 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/5.34 Running first-order theorem proving
% 0.04/5.34 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 33.24/10.14 % Version: 3.5.1
% 33.24/10.14 % Preprocessing class: FSMSSMSSSSSNFFN.
% 33.24/10.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.24/10.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 33.24/10.14 % Starting new_bool_3 with 300s (1) cores
% 33.24/10.14 % Starting new_bool_1 with 300s (1) cores
% 33.24/10.14 % Starting sh5l with 300s (1) cores
% 33.24/10.14 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 744569 completed with status 1
% 33.24/10.14 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 33.24/10.14 % Preprocessing class: FSMSSMSSSSSNFFN.
% 33.24/10.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.24/10.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 33.24/10.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 33.24/10.14 % No SInE strategy applied
% 33.24/10.14 % Search class: FGHNF-FFSM00-SFFFFFNN
% 33.24/10.14 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 33.24/10.14 % Starting SubtermCWHack with 136s (1) cores
% 33.24/10.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 33.24/10.14 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 33.24/10.14 % Starting new_bool_3 with 136s (1) cores
% 33.24/10.14 % Starting new_bool_1 with 136s (1) cores
% 33.24/10.14 % G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 744576 completed with status 1
% 33.24/10.14 % Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 33.24/10.14 % Preprocessing class: FSMSSMSSSSSNFFN.
% 33.24/10.14 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 33.24/10.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 33.24/10.14 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 33.24/10.14 % No SInE strategy applied
% 33.24/10.14 % Search class: FGHNF-FFSM00-SFFFFFNN
% 33.24/10.14 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 33.24/10.14 % Starting SubtermCWHack with 136s (1) cores
% 33.24/10.14 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 33.24/10.14 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 33.24/10.14 % Preprocessing time : 0.001 s
% 33.24/10.14 % Presaturation interreduction done
% 33.24/10.14
% 33.24/10.14 % No proof found!
% 33.24/10.14 % SZS status Satisfiable
% 33.24/10.14 % SZS output start Saturation
% See solution above
% 33.24/10.14 % Parsed axioms : 45
% 33.24/10.14 % Removed by relevancy pruning/SinE : 0
% 33.24/10.14 % Initial clauses : 45
% 33.24/10.14 % Removed in clause preprocessing : 0
% 33.24/10.14 % Initial clauses in saturation : 45
% 33.24/10.14 % Processed clauses : 43464
% 33.24/10.14 % ...of these trivial : 26
% 33.24/10.14 % ...subsumed : 33741
% 33.24/10.14 % ...remaining for further processing : 9697
% 33.24/10.14 % Other redundant clauses eliminated : 0
% 33.24/10.14 % Clauses deleted for lack of memory : 0
% 33.24/10.14 % Backward-subsumed : 7281
% 33.24/10.14 % Backward-rewritten : 265
% 33.24/10.14 % Generated clauses : 103447
% 33.24/10.14 % ...of the previous two non-redundant : 98441
% 33.24/10.14 % ...aggressively subsumed : 0
% 33.24/10.14 % Contextual simplify-reflections : 2577
% 33.24/10.14 % Paramodulations : 102956
% 33.24/10.14 % Factorizations : 0
% 33.24/10.14 % NegExts : 0
% 33.24/10.14 % Equation resolutions : 0
% 33.24/10.14 % Disequality decompositions : 0
% 33.24/10.14 % Total rewrite steps : 2048
% 33.24/10.14 % ...of those cached : 2043
% 33.24/10.14 % Propositional unsat checks : 0
% 33.24/10.14 % Propositional check models : 0
% 33.24/10.14 % Propositional check unsatisfiable : 0
% 33.24/10.14 % Propositional clauses : 0
% 33.24/10.14 % Propositional clauses after purity: 0
% 33.24/10.14 % Propositional unsat core size : 0
% 33.24/10.14 % Propositional preprocessing time : 0.000
% 33.24/10.14 % Propositional encoding time : 0.000
% 33.24/10.14 % Propositional solver time : 0.000
% 33.24/10.14 % Success case prop preproc time : 0.000
% 33.24/10.14 % Success case prop encoding time : 0.000
% 33.24/10.14 % Success case prop solver time : 0.000
% 33.24/10.14 % Current number of processed clauses : 1615
% 33.24/10.14 % Positive orientable unit clauses : 24
% 33.24/10.14 % Positive unorientable unit clauses: 0
% 33.24/10.14 % Negative unit clauses : 85
% 33.24/10.14 % Non-unit-clauses : 1506
% 33.24/10.14 % Current number of unprocessed clauses: 0
% 33.24/10.14 % ...number of literals in the above : 0
% 33.24/10.14 % Current number of archived formulas : 0
% 33.24/10.14 % Current number of archived clauses : 8082
% 33.24/10.14 % Clause-clause subsumption calls (NU) : 5882043
% 33.24/10.14 % Rec. Clause-clause subsumption calls : 975226
% 33.24/10.14 % Non-unit clause-clause subsumptions : 38910
% 33.24/10.14 % Unit Clause-clause subsumption calls : 6135
% 33.24/10.14 % Rewrite failures with RHS unbound : 0
% 33.24/10.14 % BW rewrite match attempts : 24
% 33.24/10.14 % BW rewrite match successes : 5
% 33.24/10.14 % Condensation attempts : 0
% 33.24/10.14 % Condensation successes : 0
% 33.24/10.14 % Termbank termtop insertions : 1694366
% 33.24/10.14 % Search garbage collected termcells : 72
% 33.24/10.14
% 33.24/10.14 % -------------------------------------------------
% 33.24/10.14 % User time : 4.572 s
% 33.24/10.14 % System time : 0.037 s
% 33.24/10.14 % Total time : 4.609 s
% 33.24/10.14 % Maximum resident set size: 4164 pages
% 33.24/10.14
% 33.24/10.14 % -------------------------------------------------
% 33.24/10.14 % User time : 23.273 s
% 33.24/10.14 % System time : 0.353 s
% 33.24/10.14 % Total time : 23.625 s
% 33.24/10.14 % Maximum resident set size: 5376 pages
% 33.24/10.14 % E exiting
%------------------------------------------------------------------------------