TSTP Solution File: GRP129-2.005 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP129-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:46:10 EDT 2023
% Result : Timeout 580.08s 300.07s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named no_redundancy)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_45,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_46,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_47,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_48,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_49,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_50,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_51,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_52,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_53,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]),
[final] ).
cnf(c_0_54,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]),
[final] ).
cnf(c_0_55,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_56,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_57,plain,
( product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_58,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_59,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_53,c_0_52]),
[final] ).
cnf(c_0_60,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_54,c_0_52]),
[final] ).
cnf(c_0_61,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_62,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)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_58]),c_0_59]),c_0_60]),
[final] ).
cnf(c_0_63,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_64,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
qg3,
[final] ).
cnf(c_0_66,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_67,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_56]),
[final] ).
cnf(c_0_68,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_72,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_73,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_74,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_68]),
[final] ).
cnf(c_0_78,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_79,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_73]),
[final] ).
cnf(c_0_80,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_81,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_84,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]),
[final] ).
cnf(c_0_86,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_56]),
[final] ).
cnf(c_0_87,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_88,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_79,c_0_80]),
[final] ).
cnf(c_0_89,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_68]),
[final] ).
cnf(c_0_90,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_91,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_92,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_56]),
[final] ).
cnf(c_0_97,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,X1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]),
[final] ).
cnf(c_0_100,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_101,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_90]),
[final] ).
cnf(c_0_102,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_103,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_91]),
[final] ).
cnf(c_0_104,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_107,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_110,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_56]),
[final] ).
cnf(c_0_111,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_112,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_101,c_0_102]),
[final] ).
cnf(c_0_113,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_103,c_0_102]),
[final] ).
cnf(c_0_114,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_68]),
[final] ).
cnf(c_0_115,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_56]),
[final] ).
cnf(c_0_117,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_56]),
[final] ).
cnf(c_0_123,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_126,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_127,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_131,plain,
( product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_66]),
[final] ).
cnf(c_0_132,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_56]),
[final] ).
cnf(c_0_134,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_56]),
[final] ).
cnf(c_0_135,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_56]),
[final] ).
cnf(c_0_153,plain,
( product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_87]),
[final] ).
cnf(c_0_166,plain,
( product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_72]),
[final] ).
cnf(c_0_174,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_175,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_70]),c_0_115]),
[final] ).
cnf(c_0_182,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_174]),
[final] ).
cnf(c_0_184,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_178,c_0_93]),c_0_179]),
[final] ).
cnf(c_0_195,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_174]),
[final] ).
cnf(c_0_211,plain,
( product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_111]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_184]),
[final] ).
cnf(c_0_220,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_68]),
[final] ).
cnf(c_0_224,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_127,c_0_174]),
[final] ).
cnf(c_0_238,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_126,c_0_174]),
[final] ).
cnf(c_0_242,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_235]),c_0_117]),c_0_134]),
[final] ).
cnf(c_0_295,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_174]),
[final] ).
cnf(c_0_302,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_294]),c_0_295]),c_0_195]),
[final] ).
cnf(c_0_341,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_68]),
[final] ).
cnf(c_0_345,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_68]),
[final] ).
cnf(c_0_348,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_329]),c_0_341]),
[final] ).
cnf(c_0_350,negated_conjecture,
product(e_2,e_2,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_342]),c_0_113]),
[final] ).
cnf(c_0_352,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_68]),
[final] ).
cnf(c_0_353,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_68]),
[final] ).
cnf(c_0_354,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_68]),
[final] ).
cnf(c_0_356,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_344]),c_0_220]),c_0_345]),
[final] ).
cnf(c_0_360,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_350])]),
[final] ).
cnf(c_0_363,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_84,c_0_351]),c_0_352]),c_0_353]),c_0_354]),
[final] ).
cnf(c_0_366,negated_conjecture,
( product(e_2,X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_350]),
[final] ).
cnf(c_0_368,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_350])]),
[final] ).
cnf(c_0_373,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_350])]),
[final] ).
cnf(c_0_376,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_367,c_0_368]),
[final] ).
cnf(c_0_402,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_100,c_0_174]),
[final] ).
cnf(c_0_404,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_81,c_0_174]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_376]),
[final] ).
cnf(c_0_410,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_400,c_0_146]),c_0_401]),c_0_402]),c_0_403]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_406]),c_0_404]),
[final] ).
cnf(c_0_420,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_414,c_0_146]),c_0_402]),c_0_415]),c_0_416]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_417]),c_0_350])]),
[final] ).
cnf(c_0_424,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_421]),c_0_352]),
[final] ).
cnf(c_0_429,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_380,c_0_424]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_429]),
[final] ).
cnf(c_0_435,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_174]),
[final] ).
cnf(c_0_451,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_450]),c_0_350])]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_451]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_184]),
[final] ).
cnf(c_0_463,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_109]),c_0_115]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_491]),c_0_64]),c_0_64]),c_0_67]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_345,c_0_451]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_511]),c_0_350])]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_520,c_0_521]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_522,c_0_521]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_184]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_524]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_432,c_0_525]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_530,c_0_531]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_535]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_447]),c_0_224]),
[final] ).
cnf(c_0_554,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_541,c_0_521]),c_0_542]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_524]),c_0_368]),c_0_544]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_555]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_531]),
[final] ).
cnf(c_0_577,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_555]),
[final] ).
cnf(c_0_578,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_568,c_0_554]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_572]),c_0_516]),
[final] ).
cnf(c_0_587,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_535]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_577,c_0_578]),
[final] ).
cnf(c_0_601,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_587,c_0_555]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_4,e_1,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_588,c_0_589]),c_0_590]),c_0_591]),c_0_592]),
[final] ).
cnf(c_0_606,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_597]),c_0_132]),
[final] ).
cnf(c_0_608,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_601]),c_0_353]),
[final] ).
cnf(c_0_609,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_602]),c_0_134]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_607,c_0_608]),
[final] ).
cnf(c_0_627,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_139]),c_0_353]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_634]),c_0_110]),
[final] ).
cnf(c_0_680,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,X1,e_5)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_516]),
[final] ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_421]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_708]),
[final] ).
cnf(c_0_720,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_716,c_0_704]),
[final] ).
cnf(c_0_751,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_184]),
[final] ).
cnf(c_0_770,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_589]),c_0_591]),c_0_592]),c_0_764]),
[final] ).
cnf(c_0_780,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_765]),c_0_776]),
[final] ).
cnf(c_0_790,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_787]),c_0_788]),
[final] ).
cnf(c_0_809,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_805]),c_0_313]),
[final] ).
cnf(c_0_829,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_822,c_0_480]),c_0_195]),c_0_238]),
[final] ).
cnf(c_0_866,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_857]),c_0_114]),c_0_341]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_865,c_0_866]),
[final] ).
cnf(c_0_911,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_678]),c_0_224]),
[final] ).
cnf(c_0_913,negated_conjecture,
product(e_2,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_905,c_0_906]),c_0_387]),
[final] ).
cnf(c_0_918,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_224,c_0_913]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_921,c_0_922]),c_0_777]),
[final] ).
cnf(c_0_930,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_926,c_0_913])]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_927]),
[final] ).
cnf(c_0_934,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_884,c_0_930]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_799,c_0_918]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_913])]),
[final] ).
cnf(c_0_950,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_944,c_0_945]),c_0_360]),
[final] ).
cnf(c_0_953,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_946,c_0_913])]),
[final] ).
cnf(c_0_954,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_947,c_0_797]),c_0_373]),c_0_948]),c_0_134]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_953]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_3,X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_934]),
[final] ).
cnf(c_0_978,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_975]),c_0_790]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_977,c_0_978]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_981]),
[final] ).
cnf(c_0_999,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_995,c_0_913]),c_0_866]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_585,c_0_608]),
[final] ).
cnf(c_0_1014,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_115,c_0_1012]),c_0_934])]),
[final] ).
cnf(c_0_1016,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1014]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1016,c_0_981]),
[final] ).
cnf(c_0_1021,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_724]),c_0_110]),
[final] ).
cnf(c_0_1023,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1018]),c_0_352]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_512]),c_0_1024]),
[final] ).
cnf(c_0_1036,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1032]),c_0_115]),
[final] ).
cnf(c_0_1049,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_932,c_0_918]),
[final] ).
cnf(c_0_1073,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1067]),c_0_345]),c_0_134]),
[final] ).
cnf(c_0_1091,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_999]),c_0_117]),
[final] ).
cnf(c_0_1101,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1093]),c_0_913])]),
[final] ).
cnf(c_0_1102,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1094]),c_0_918]),c_0_1091]),c_0_1095]),c_0_1096]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1100,c_0_1101]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_950]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_1121]),c_0_790]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1124,c_0_1075]),
[final] ).
cnf(c_0_1141,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_1131]),c_0_224]),
[final] ).
cnf(c_0_1151,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_855,c_0_866]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1140,c_0_1141]),
[final] ).
cnf(c_0_1155,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1014]),
[final] ).
cnf(c_0_1159,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1148,c_0_927]),
[final] ).
cnf(c_0_1162,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1152]),c_0_67]),
[final] ).
cnf(c_0_1167,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_174]),
[final] ).
cnf(c_0_1168,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1155,c_0_1156]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1159]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1160,c_0_608]),
[final] ).
cnf(c_0_1179,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1167,c_0_1168]),c_0_341]),
[final] ).
cnf(c_0_1184,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1174]),c_0_132]),
[final] ).
cnf(c_0_1191,negated_conjecture,
( product(e_4,e_5,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_1148,c_0_1180]),c_0_1181]),
[final] ).
cnf(c_0_1192,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_174]),
[final] ).
cnf(c_0_1196,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1185]),c_0_918]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1186,c_0_1159]),c_0_360]),c_0_1171]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_1176,c_0_1141]),
[final] ).
cnf(c_0_1201,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1191]),c_0_1192]),c_0_224]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_927]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1197]),
[final] ).
cnf(c_0_1209,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_808,c_0_978]),
[final] ).
cnf(c_0_1210,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1198]),
[final] ).
cnf(c_0_1218,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1208,c_0_1209]),
[final] ).
cnf(c_0_1219,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1210,c_0_1203]),c_0_360]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1211,c_0_1014]),
[final] ).
cnf(c_0_1226,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1220]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,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_132,c_0_1221]),c_0_913])]),
[final] ).
cnf(c_0_1232,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1225]),c_0_348]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1226,c_0_1203]),
[final] ).
cnf(c_0_1237,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_1228]),c_0_1229]),
[final] ).
cnf(c_0_1239,plain,
( product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1209]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_354,c_0_1232]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1217,c_0_1014]),c_0_1024]),c_0_1233]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1236,c_0_1237]),
[final] ).
cnf(c_0_1251,plain,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1239]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1240,c_0_1241]),
[final] ).
cnf(c_0_1257,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_224,c_0_1246]),c_0_117]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1251,c_0_1151]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1252]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_945]),
[final] ).
cnf(c_0_1265,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_1240,c_0_1029]),c_0_435]),
[final] ).
cnf(c_0_1269,plain,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_429]),
[final] ).
cnf(c_0_1275,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1263,c_0_421]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_1265]),c_0_1266]),
[final] ).
cnf(c_0_1278,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1268,c_0_1269]),c_0_435]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( product(e_2,e_3,e_5)
| 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_132,c_0_1270]),c_0_913])]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_1275]),c_0_1162]),c_0_1276]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1277]),c_0_132]),
[final] ).
cnf(c_0_1286,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_692,c_0_1278]),c_0_435]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1279]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1275]),
[final] ).
cnf(c_0_1293,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1284]),c_0_1162]),c_0_918]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1285,c_0_1286]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1287,c_0_1276]),c_0_404]),
[final] ).
cnf(c_0_1298,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_1263,c_0_412]),c_0_1167]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1284]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1292,c_0_1293]),
[final] ).
cnf(c_0_1305,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1147,c_0_1294]),c_0_1167]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1295,c_0_1296]),c_0_404]),
[final] ).
cnf(c_0_1308,negated_conjecture,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_1299]),c_0_918]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1303,c_0_1304]),c_0_1305]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1307]),c_0_1308])]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1152]),
[final] ).
cnf(c_0_1321,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1312]),c_0_1313]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1317]),
[final] ).
cnf(c_0_1328,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1320,c_0_1321]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_1055]),c_0_353]),
[final] ).
cnf(c_0_1333,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_4,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1325]),
[final] ).
cnf(c_0_1338,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1312]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1328]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1029]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1250,c_0_1162]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1333,c_0_927]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1336]),c_0_1107]),
[final] ).
cnf(c_0_1351,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_1191]),c_0_117]),
[final] ).
cnf(c_0_1352,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_1338,c_0_1339]),c_0_1340]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1342]),
[final] ).
cnf(c_0_1356,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1343]),c_0_1344]),
[final] ).
cnf(c_0_1360,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,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_132,c_0_1347]),c_0_913])]),
[final] ).
cnf(c_0_1361,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1348]),c_0_220]),
[final] ).
cnf(c_0_1363,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_938]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1352]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_238,c_0_1339]),
[final] ).
cnf(c_0_1367,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_1339]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1240,c_0_1151]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1358]),c_0_913])]),
[final] ).
cnf(c_0_1375,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1081,c_0_1361]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1328]),
[final] ).
cnf(c_0_1379,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1274,c_0_1298]),c_0_1162]),
[final] ).
cnf(c_0_1382,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_1365]),c_0_1366]),c_0_1367]),
[final] ).
cnf(c_0_1389,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1373]),c_0_92]),c_0_353]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1374]),c_0_1198]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1375]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1378,c_0_1379]),c_0_404]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1379]),c_0_1162]),c_0_918]),c_0_404]),
[final] ).
cnf(c_0_1401,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1291,c_0_1321]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1303,c_0_1375]),c_0_1305]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1370]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1387,c_0_1141]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1390]),
[final] ).
cnf(c_0_1413,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1394]),c_0_1395]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1397,c_0_1398]),c_0_1114]),
[final] ).
cnf(c_0_1419,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_1401]),
[final] ).
cnf(c_0_1420,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_1402]),c_0_67]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1403]),c_0_1177]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1405,c_0_1406]),c_0_424]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1408,c_0_1049]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_261,c_0_1413]),
[final] ).
cnf(c_0_1437,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1190,c_0_1201]),
[final] ).
cnf(c_0_1440,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1232]),
[final] ).
cnf(c_0_1441,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1422,c_0_1423]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( product(e_4,e_1,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_1286]),c_0_1167]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1168]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1426,c_0_1294]),c_0_1167]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1428]),c_0_354]),
[final] ).
cnf(c_0_1456,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_1172,c_0_1436]),c_0_918]),c_0_1196]),c_0_1036]),c_0_341]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1437]),
[final] ).
cnf(c_0_1458,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_82,c_0_171]),c_0_435]),c_0_1192]),c_0_402]),
[final] ).
cnf(c_0_1461,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1439]),c_0_352]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1440,c_0_1441]),c_0_1442]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_1443]),
[final] ).
cnf(c_0_1465,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1444,c_0_1445]),c_0_1446]),
[final] ).
cnf(c_0_1466,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1447,c_0_1448]),c_0_220]),
[final] ).
cnf(c_0_1468,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1450]),c_0_1451]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1339]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_1304]),
[final] ).
cnf(c_0_1475,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1454]),c_0_913])]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1455,c_0_1456]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_945]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1175,c_0_1321]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1461]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1462]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1463,c_0_1398]),
[final] ).
cnf(c_0_1484,negated_conjecture,
( product(e_1,e_5,e_2)
| 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_1464,c_0_1416]),c_0_1465]),c_0_1466]),c_0_410]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1467,c_0_1468]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_1354]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1239]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1472,c_0_1406]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1474,c_0_1475]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1464,c_0_1476]),c_0_1465]),c_0_1466]),c_0_410]),c_0_1477]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1478,c_0_1468]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1479,c_0_1352]),c_0_1480]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1481,c_0_1317]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1482,c_0_1298]),c_0_1483]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1484]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1485]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1488,c_0_1218]),c_0_1463]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1489]),c_0_913])]),
[final] ).
cnf(c_0_1514,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_1159]),c_0_360]),c_0_1171]),
[final] ).
cnf(c_0_1515,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1492,c_0_1275]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1493,c_0_1494]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1495]),c_0_913])]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1496]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1497]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1498]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1499]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1500]),
[final] ).
cnf(c_0_1524,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_89,c_0_1501]),c_0_132]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| 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_1172,c_0_1484]),c_0_918]),c_0_1196]),c_0_1036]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_404,c_0_1502]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1503,c_0_1499]),c_0_1504]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1509]),
[final] ).
cnf(c_0_1533,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1511,c_0_1141]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_1276]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1514]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1515,c_0_1516]),c_0_1442]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1517]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1518,c_0_1468]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1520,c_0_1476]),
[final] ).
cnf(c_0_1549,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_1521,c_0_1522]),c_0_1523]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1524,c_0_1525]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1527]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1484]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1531,c_0_1390]),c_0_1532]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1533]),
[final] ).
cnf(c_0_1560,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_1534,c_0_146]),c_0_1535]),c_0_1536]),c_0_402]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1537,c_0_1413]),
[final] ).
cnf(c_0_1562,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_1538,c_0_1265]),c_0_1539]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1317]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1543,c_0_1209]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1544]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1545,c_0_1546]),c_0_1382]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1547]),c_0_913])]),
[final] ).
cnf(c_0_1573,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1548]),c_0_224]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1549,c_0_1203]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1550,c_0_1551]),c_0_1361]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1464,c_0_1246]),c_0_1465]),c_0_1466]),c_0_1552]),c_0_1553]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1241]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1555,c_0_1298]),c_0_1356]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1416]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1236,c_0_1558]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1559,c_0_1499]),c_0_1560]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1561]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_1562]),c_0_1361]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1569]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1570,c_0_1209]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1571]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_1572]),c_0_1573]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1575]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1432,c_0_1023]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1285,c_0_1576]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1578,c_0_1579]),c_0_608]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1581,c_0_1544]),c_0_1306]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_945]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1583]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1521,c_0_1584]),c_0_1585]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_1586]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( product(e_3,e_5,e_4)
| 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_132,c_0_1589]),c_0_913])]),
[final] ).
cnf(c_0_1617,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_1592,c_0_1398]),c_0_1245]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1593,c_0_1594]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1252]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1328]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1219,c_0_1596]),
[final] ).
cnf(c_0_1622,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_135,c_0_1597]),c_0_345]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_1599]),c_0_1475]),c_0_1500]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1601]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_794,c_0_1131]),
[final] ).
cnf(c_0_1629,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_238,c_0_1308]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1603]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1102]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1607,c_0_1608]),
[final] ).
cnf(c_0_1636,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1576]),c_0_1609]),
[final] ).
cnf(c_0_1640,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1505,c_0_1201]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1612]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1373]),
[final] ).
cnf(c_0_1645,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_1338,c_0_1394]),c_0_404]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1617]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1209]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1618]),c_0_1609]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1619,c_0_1241]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1620]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1621]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_1622]),c_0_1361]),
[final] ).
cnf(c_0_1658,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_1552]),c_0_1623]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1624]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1625,c_0_927]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1626,c_0_927]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_1612]),c_0_1361]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1627]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1499]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1603]),
[final] ).
cnf(c_0_1671,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1635]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1631,c_0_1636]),c_0_724]),
[final] ).
cnf(c_0_1675,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1640]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1643,c_0_1284]),
[final] ).
cnf(c_0_1679,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_370,c_0_608]),
[final] ).
cnf(c_0_1681,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1645]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1646]),c_0_74]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_720]),
[final] ).
cnf(c_0_1686,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_692,c_0_1647]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1203]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1652,c_0_1525]),c_0_1653]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1303,c_0_1654]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1655,c_0_1656]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_1657]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1525]),
[final] ).
cnf(c_0_1697,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1247,c_0_1658]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1659,c_0_1203]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1660]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1661]),
[final] ).
cnf(c_0_1701,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1662]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1663,c_0_1203]),c_0_360]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1664,c_0_1475]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_627,c_0_1325]),
[final] ).
cnf(c_0_1705,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1521,c_0_1665]),c_0_1666]),
[final] ).
cnf(c_0_1708,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1671,c_0_1672]),c_0_1394]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1524,c_0_1576]),
[final] ).
cnf(c_0_1710,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1197]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_692,c_0_1241]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1441]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1640]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_1676]),c_0_1328]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1678]),
[final] ).
cnf(c_0_1723,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1679]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1461]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1509]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_1548]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_435,c_0_1681]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1682]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1427]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1685,c_0_1686]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1692]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1693]),
[final] ).
cnf(c_0_1748,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1694]),c_0_1695]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1696,c_0_1697]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1151]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1503,c_0_1617]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1698,c_0_1596]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_1699]),c_0_117]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1596]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_1700]),c_0_117]),
[final] ).
cnf(c_0_1756,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_224,c_0_1701]),c_0_117]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1702,c_0_1596]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1503,c_0_1703]),
[final] ).
cnf(c_0_1760,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1407,c_0_1456]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1644,c_0_1573]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_1379]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1476]),
[final] ).
cnf(c_0_1768,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1708]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1550,c_0_1709]),c_0_1361]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1711,c_0_1468]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1715,c_0_1665]),c_0_1445]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1719]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1720,c_0_1599]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1721]),c_0_224]),c_0_345]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1722,c_0_1723]),c_0_1141]),c_0_352]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1724,c_0_1317]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1726,c_0_1727]),c_0_1728]),
[final] ).
cnf(c_0_1788,plain,
( product(e_4,e_2,e_3)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1730,c_0_1533]),c_0_1731]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1732,c_0_1583]),
[final] ).
cnf(c_0_1794,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1220]),c_0_918]),c_0_1091]),c_0_1734]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1738]),
[final] ).
cnf(c_0_1801,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_602]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( product(e_4,X1,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1308]),
[final] ).
cnf(c_0_1811,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_983,c_0_1475]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1654]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1747,c_0_1617]),
[final] ).
cnf(c_0_1814,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1692]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1219,c_0_1692]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1748,c_0_1749]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1653,c_0_1749]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1749]),c_0_608]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1578,c_0_1749]),c_0_608]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1524,c_0_1751]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1752]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1753,c_0_1754]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1754]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1755,c_0_1754]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1756,c_0_1754]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1757]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1624]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1333,c_0_1705]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1549,c_0_1758]),
[final] ).
cnf(c_0_1832,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_1761,c_0_1608]),c_0_1573]),
[final] ).
cnf(c_0_1834,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1503,c_0_1312]),
[final] ).
cnf(c_0_1836,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_1523,c_0_1764]),c_0_1765]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_1622]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1401]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1617]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_353,c_0_1306]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1049]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1767,c_0_1603]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| 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_1172,c_0_1693]),c_0_918]),c_0_1196]),c_0_1036]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1768,c_0_1769]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1768,c_0_1597]),
[final] ).
cnf(c_0_1849,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1678]),
[final] ).
cnf(c_0_1851,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1770,c_0_1468]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( product(e_1,e_4,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_1464,c_0_1771]),c_0_1465]),c_0_1466]),c_0_410]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1772]),c_0_913])]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1777,c_0_1778]),
[final] ).
cnf(c_0_1859,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_238,c_0_816]),c_0_224]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1527]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1779,c_0_1780]),c_0_918]),
[final] ).
cnf(c_0_1862,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1723]),
[final] ).
cnf(c_0_1863,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1781]),
[final] ).
cnf(c_0_1864,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1207,c_0_1658]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_1784]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1551]),c_0_608]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1785,c_0_1682]),c_0_1162]),c_0_1786]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1682]),c_0_918]),c_0_1196]),c_0_1036]),
[final] ).
cnf(c_0_1874,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1402]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1617]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1402]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1579]),c_0_608]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1787,c_0_1514]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1788]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_875]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1295,c_0_1246]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1295,c_0_1191]),c_0_1181]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1793,c_0_1794]),c_0_1795]),c_0_1029]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1799,c_0_516]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1801,c_0_429]),
[final] ).
cnf(c_0_1912,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,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1811]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1433]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1709]),c_0_608]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1812,c_0_1813]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1814]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1765,c_0_1218]),c_0_1483]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1815]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1682]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1816]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1817]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1818]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1819]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1550,c_0_1820]),c_0_1361]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1828]),c_0_913])]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1830]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1831]),c_0_1416]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1672]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1751]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1833]),c_0_1416]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1834]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1835]),c_0_1416]),
[final] ).
cnf(c_0_1946,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_1655,c_0_1836]),c_0_1837]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1527]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1838,c_0_1373]),c_0_608]),c_0_1522]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_1839,c_0_1321]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1755,c_0_1752]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1756,c_0_1752]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1373]),c_0_352]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1844,c_0_1599]),c_0_608]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1845]),
[final] ).
cnf(c_0_1959,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_1653,c_0_1551]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1846]),
[final] ).
cnf(c_0_1961,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1847]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1848]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1849]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1522]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1302,c_0_1278]),c_0_1850]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1851]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1852]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1527]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1771]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1512,c_0_1856]),c_0_1857]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1858]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1351,c_0_1780]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1780]),
[final] ).
cnf(c_0_1978,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1859,c_0_1373]),
[final] ).
cnf(c_0_1979,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_1860,c_0_1861]),c_0_1862]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1325]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1863,c_0_1203]),
[final] ).
cnf(c_0_1982,plain,
( product(e_5,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_1864]),
[final] ).
cnf(c_0_1984,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1218]),
[final] ).
cnf(c_0_1985,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1482,c_0_1209]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_1107]),
[final] ).
cnf(c_0_1992,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1870,c_0_1599]),c_0_238]),
[final] ).
cnf(c_0_1993,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1871]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1872]),
[final] ).
cnf(c_0_1995,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1784]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1873]),
[final] ).
cnf(c_0_1997,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1874,c_0_1784]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1875]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(e_5,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_1172,c_0_1603]),c_0_918]),c_0_1196]),c_0_1036]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_5,e_3,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1023]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_1305]),
[final] ).
cnf(c_0_2003,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1703]),
[final] ).
cnf(c_0_2004,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1665]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_5,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1781]),
[final] ).
cnf(c_0_2007,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1878,c_0_1339]),c_0_1879]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1522]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1881]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1882,c_0_1352]),c_0_373]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_1284]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_999]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1354]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1295,c_0_1583]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_1514]),c_0_238]),
[final] ).
cnf(c_0_2028,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1246]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1191]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1894]),
[final] ).
cnf(c_0_2035,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_981]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1686]),
[final] ).
cnf(c_0_2050,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1911]),c_0_913])]),
[final] ).
cnf(c_0_2051,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1912,c_0_1269]),c_0_1849]),
[final] ).
cnf(c_0_2052,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1913,c_0_1914]),
[final] ).
cnf(c_0_2053,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1913,c_0_1915]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1916,c_0_516]),c_0_1917]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1918,c_0_516]),c_0_1917]),
[final] ).
cnf(c_0_2056,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1920]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1921]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1922]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1923]),
[final] ).
cnf(c_0_2060,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1924]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1925]),c_0_913])]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1926]),c_0_913])]),
[final] ).
cnf(c_0_2063,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1927]),c_0_913])]),
[final] ).
cnf(c_0_2064,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1928]),c_0_913])]),
[final] ).
cnf(c_0_2065,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1929]),c_0_913])]),
[final] ).
cnf(c_0_2066,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1930]),c_0_913])]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1931]),c_0_913])]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_2,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1346,c_0_1475]),c_0_1331]),c_0_1257]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_1932]),c_0_1573]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1933]),c_0_913])]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1934]),c_0_913])]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1935,c_0_1936]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1937,c_0_1938]),c_0_1179]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1939]),c_0_913])]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1940,c_0_1941]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1942]),c_0_913])]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1943,c_0_1944]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1945]),c_0_913])]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_2,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1203]),
[final] ).
cnf(c_0_2080,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1946]),
[final] ).
cnf(c_0_2081,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1599]),c_0_608]),
[final] ).
cnf(c_0_2082,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1578,c_0_1599]),c_0_608]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_1947]),c_0_1573]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1948]),
[final] ).
cnf(c_0_2085,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1949]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1480]),
[final] ).
cnf(c_0_2089,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_627,c_0_1781]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1952]),c_0_913])]),
[final] ).
cnf(c_0_2091,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)],[inference(spm,[status(thm)],[c_0_1953,c_0_516]),c_0_1573]),c_0_1379]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1467]),c_0_1954]),
[final] ).
cnf(c_0_2093,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1596]),
[final] ).
cnf(c_0_2094,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1955,c_0_1709]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1914]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_220,c_0_1546]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1956]),c_0_1416]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1955,c_0_1599]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1836]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1957]),
[final] ).
cnf(c_0_2101,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1958,c_0_1622]),c_0_1361]),
[final] ).
cnf(c_0_2102,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1524,c_0_1830]),
[final] ).
cnf(c_0_2103,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1959]),
[final] ).
cnf(c_0_2104,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_1653,c_0_1820]),
[final] ).
cnf(c_0_2105,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1750,c_0_1820]),c_0_608]),
[final] ).
cnf(c_0_2106,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1210,c_0_1661]),c_0_360]),
[final] ).
cnf(c_0_2107,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_1960,c_0_1608]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1961,c_0_1419]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1962,c_0_1419]),
[final] ).
cnf(c_0_2110,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1963,c_0_1608]),
[final] ).
cnf(c_0_2111,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1964,c_0_1203]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1965]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1966,c_0_1527]),
[final] ).
cnf(c_0_2114,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1521,c_0_1527]),
[final] ).
cnf(c_0_2115,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1285,c_0_1751]),
[final] ).
cnf(c_0_2116,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1285,c_0_1834]),
[final] ).
cnf(c_0_2117,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1967,c_0_1774]),
[final] ).
cnf(c_0_2118,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1968,c_0_1573]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1680,c_0_1573]),
[final] ).
cnf(c_0_2120,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_1969,c_0_1573]),
[final] ).
cnf(c_0_2121,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1521,c_0_1948]),
[final] ).
cnf(c_0_2122,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1970]),
[final] ).
cnf(c_0_2123,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1285,c_0_1525]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1971]),c_0_1416]),
[final] ).
cnf(c_0_2125,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1652,c_0_1497]),
[final] ).
cnf(c_0_2126,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1523,c_0_1203]),
[final] ).
cnf(c_0_2127,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1665]),
[final] ).
cnf(c_0_2128,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1972,c_0_1973]),c_0_1753]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1838,c_0_1946]),c_0_608]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1419]),
[final] ).
cnf(c_0_2131,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1595,c_0_1965]),c_0_345]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1974,c_0_1419]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1777,c_0_1975]),c_0_1976]),
[final] ).
cnf(c_0_2134,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1605]),c_0_61]),
[final] ).
cnf(c_0_2135,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1977]),c_0_913])]),
[final] ).
cnf(c_0_2136,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_553,c_0_1466]),c_0_1465]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1978]),
[final] ).
cnf(c_0_2138,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1210,c_0_1978]),c_0_360]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_1979]),c_0_1475]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1023]),
[final] ).
cnf(c_0_2141,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1980,c_0_1023]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1378,c_0_1861]),c_0_1862]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1981,c_0_1982]),
[final] ).
cnf(c_0_2144,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1863,c_0_1784]),
[final] ).
cnf(c_0_2145,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_2,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1570,c_0_1275]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1983]),c_0_1416]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1984,c_0_1985]),
[final] ).
cnf(c_0_2148,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1915]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1755,c_0_1621]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1756,c_0_1621]),
[final] ).
cnf(c_0_2152,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)],[c_0_1987,c_0_1413]),
[final] ).
cnf(c_0_2153,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1988]),c_0_1416]),
[final] ).
cnf(c_0_2154,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1989]),c_0_1416]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1352]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1338,c_0_1277]),
[final] ).
cnf(c_0_2157,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1990,c_0_1957]),c_0_1573]),c_0_368]),
[final] ).
cnf(c_0_2158,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1624]),
[final] ).
cnf(c_0_2159,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1991,c_0_1599]),c_0_1585]),
[final] ).
cnf(c_0_2160,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1992,c_0_1622]),
[final] ).
cnf(c_0_2161,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_1993]),c_0_1361]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_1286]),
[final] ).
cnf(c_0_2163,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1624]),
[final] ).
cnf(c_0_2164,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1691,c_0_1982]),
[final] ).
cnf(c_0_2165,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1995]),
[final] ).
cnf(c_0_2166,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1996,c_0_1995]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1995]),
[final] ).
cnf(c_0_2168,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1995]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1784]),
[final] ).
cnf(c_0_2170,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1727]),
[final] ).
cnf(c_0_2171,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1997]),
[final] ).
cnf(c_0_2172,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1998,c_0_1622]),c_0_1361]),
[final] ).
cnf(c_0_2173,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1999]),
[final] ).
cnf(c_0_2174,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2000,c_0_1579]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_2001,c_0_1573]),
[final] ).
cnf(c_0_2176,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1725,c_0_1573]),
[final] ).
cnf(c_0_2177,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_2002,c_0_1764]),c_0_1167]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1521,c_0_1419]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1966,c_0_1419]),
[final] ).
cnf(c_0_2180,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1549,c_0_2003]),
[final] ).
cnf(c_0_2181,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1606,c_0_1203]),
[final] ).
cnf(c_0_2182,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1445]),
[final] ).
cnf(c_0_2183,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1972,c_0_1603]),
[final] ).
cnf(c_0_2184,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2004]),
[final] ).
cnf(c_0_2185,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_1603]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1382]),
[final] ).
cnf(c_0_2189,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_1544]),
[final] ).
cnf(c_0_2190,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1715,c_0_1948]),
[final] ).
cnf(c_0_2191,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_1,e_4,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1461]),
[final] ).
cnf(c_0_2192,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2006,c_0_1352]),
[final] ).
cnf(c_0_2194,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1661]),
[final] ).
cnf(c_0_2196,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1660]),
[final] ).
cnf(c_0_2197,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1662]),
[final] ).
cnf(c_0_2198,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1522]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1499]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1538,c_0_1252]),c_0_1294]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1262]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1753,c_0_2007]),
[final] ).
cnf(c_0_2203,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2008,c_0_1203]),
[final] ).
cnf(c_0_2205,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_1645]),
[final] ).
cnf(c_0_2206,plain,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_1375]),
[final] ).
cnf(c_0_2207,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2010,c_0_1419]),
[final] ).
cnf(c_0_2208,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1365]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2011]),
[final] ).
cnf(c_0_2210,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_345,c_0_1352]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_2007]),
[final] ).
cnf(c_0_2212,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2012,c_0_1321]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_2,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1419]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1747,c_0_1325]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1363,c_0_1317]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2013,c_0_1569]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2014,c_0_1298]),c_0_1049]),
[final] ).
cnf(c_0_2218,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2015,c_0_1298]),c_0_1141]),
[final] ).
cnf(c_0_2219,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2016,c_0_1262]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1791,c_0_1586]),c_0_1539]),
[final] ).
cnf(c_0_2221,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2017,c_0_1562]),c_0_1361]),c_0_404]),
[final] ).
cnf(c_0_2222,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1785,c_0_2018]),c_0_1162]),c_0_2019]),
[final] ).
cnf(c_0_2223,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2020,c_0_1558]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_2024]),c_0_2025]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2026]),c_0_913])]),
[final] ).
cnf(c_0_2229,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1652,c_0_1712]),c_0_1239]),
[final] ).
cnf(c_0_2230,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_1285,c_0_1712]),
[final] ).
cnf(c_0_2231,plain,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1375]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1510,c_0_1162]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2027]),c_0_1068]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2028,c_0_516]),
[final] ).
cnf(c_0_2235,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2029]),c_0_2030]),
[final] ).
cnf(c_0_2236,negated_conjecture,
( product(e_5,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_2031,c_0_512]),c_0_1514]),
[final] ).
cnf(c_0_2237,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1305]),c_0_918]),c_0_1091]),c_0_2032]),
[final] ).
cnf(c_0_2238,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_1278]),
[final] ).
cnf(c_0_2239,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2033,c_0_1168]),
[final] ).
cnf(c_0_2240,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2034,c_0_1014]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_4,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2035]),
[final] ).
cnf(c_0_2242,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2036]),c_0_950]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_880,c_0_2037]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2038,c_0_900]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2039,c_0_2040]),
[final] ).
cnf(c_0_2247,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_2041]),c_0_410]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_2042]),c_0_589]),
[final] ).
cnf(c_0_2249,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_2043,c_0_608]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1903,c_0_608]),
[final] ).
cnf(c_0_2251,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_2044,c_0_608]),
[final] ).
cnf(c_0_2252,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1803,c_0_608]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1150,c_0_608]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_1139,c_0_608]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1137,c_0_608]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_599,c_0_608]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_2045,c_0_608]),
[final] ).
cnf(c_0_2258,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1118,c_0_608]),
[final] ).
cnf(c_0_2259,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_1128,c_0_608]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_386,c_0_608]),
[final] ).
cnf(c_0_2261,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1679]),
[final] ).
cnf(c_0_2262,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_542,c_0_2046]),
[final] ).
cnf(c_0_2264,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_2265,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_2266,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_2267,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_2268,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1342]),
[final] ).
cnf(c_0_2279,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2050]),
[final] ).
cnf(c_0_2280,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2050]),
[final] ).
cnf(c_0_2281,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_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2051]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2052]),
[final] ).
cnf(c_0_2283,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2053]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2054]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2055]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2056,c_0_1433]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2057,c_0_1433]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2058,c_0_1433]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2059,c_0_1433]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2060,c_0_1433]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2061]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2062]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2063]),
[final] ).
cnf(c_0_2294,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2064]),
[final] ).
cnf(c_0_2295,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2065]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2066]),
[final] ).
cnf(c_0_2297,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2067]),
[final] ).
cnf(c_0_2298,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2052]),
[final] ).
cnf(c_0_2299,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2068]),
[final] ).
cnf(c_0_2300,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2069]),
[final] ).
cnf(c_0_2301,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1932]),
[final] ).
cnf(c_0_2302,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2070]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2071]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2072]),
[final] ).
cnf(c_0_2305,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2073]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1847]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1848]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2074]),
[final] ).
cnf(c_0_2309,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2075]),
[final] ).
cnf(c_0_2310,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2076]),
[final] ).
cnf(c_0_2311,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2077]),
[final] ).
cnf(c_0_2312,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2078]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1746]),
[final] ).
cnf(c_0_2314,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1692]),
[final] ).
cnf(c_0_2315,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1692]),
[final] ).
cnf(c_0_2316,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1920]),
[final] ).
cnf(c_0_2317,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1920]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1921]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1921]),
[final] ).
cnf(c_0_2320,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1922]),
[final] ).
cnf(c_0_2321,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1922]),
[final] ).
cnf(c_0_2322,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1923]),
[final] ).
cnf(c_0_2323,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1923]),
[final] ).
cnf(c_0_2324,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1816]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1816]),
[final] ).
cnf(c_0_2326,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1817]),
[final] ).
cnf(c_0_2327,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1817]),
[final] ).
cnf(c_0_2328,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1818]),
[final] ).
cnf(c_0_2329,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1818]),
[final] ).
cnf(c_0_2330,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1819]),
[final] ).
cnf(c_0_2331,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1819]),
[final] ).
cnf(c_0_2332,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1749]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1694]),
[final] ).
cnf(c_0_2334,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2080,c_0_2081]),
[final] ).
cnf(c_0_2335,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2080,c_0_2082]),
[final] ).
cnf(c_0_2336,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2080,c_0_1957]),
[final] ).
cnf(c_0_2337,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2083]),
[final] ).
cnf(c_0_2338,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2084]),
[final] ).
cnf(c_0_2339,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2085]),
[final] ).
cnf(c_0_2340,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2086]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1620]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1947]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1571]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1858]),
[final] ).
cnf(c_0_2345,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2087]),c_0_913])]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2088]),c_0_913])]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2089,c_0_1780]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2053]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2090]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2091]),
[final] ).
cnf(c_0_2351,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1821]),
[final] ).
cnf(c_0_2352,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1838,c_0_2066]),c_0_608]),c_0_2092]),
[final] ).
cnf(c_0_2353,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1822]),
[final] ).
cnf(c_0_2354,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1823]),
[final] ).
cnf(c_0_2355,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1824]),
[final] ).
cnf(c_0_2356,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1825]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1656]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1826]),
[final] ).
cnf(c_0_2359,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1752]),
[final] ).
cnf(c_0_2360,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1754]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_2093]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_2093]),
[final] ).
cnf(c_0_2363,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2093]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1621]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1757]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1596]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1596]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1572]),
[final] ).
cnf(c_0_2369,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1811]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2067]),
[final] ).
cnf(c_0_2371,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1811]),
[final] ).
cnf(c_0_2372,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1811]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1769]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2094]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2095,c_0_2096]),c_0_420]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2097]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2097]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2097]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2098]),
[final] ).
cnf(c_0_2380,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1778]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_1957]),
[final] ).
cnf(c_0_2382,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2100,c_0_1672]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_2081]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2081]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_2082]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2082]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_175,c_0_2101]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1709]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1599]),
[final] ).
cnf(c_0_2390,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2102]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1597]),
[final] ).
cnf(c_0_2392,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2103]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1993]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1924]),
[final] ).
cnf(c_0_2395,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1924]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_2104]),
[final] ).
cnf(c_0_2397,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_2104]),
[final] ).
cnf(c_0_2398,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2104]),
[final] ).
cnf(c_0_2399,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_2105]),
[final] ).
cnf(c_0_2400,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_2105]),
[final] ).
cnf(c_0_2401,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1932]),
[final] ).
cnf(c_0_2402,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2105]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1576]),
[final] ).
cnf(c_0_2404,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_1569]),
[final] ).
cnf(c_0_2405,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2070]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2071]),
[final] ).
cnf(c_0_2407,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_2106]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_1517]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2099,c_0_1218]),
[final] ).
cnf(c_0_2410,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2107]),
[final] ).
cnf(c_0_2411,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1832]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2108,c_0_2035]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2109,c_0_2035]),
[final] ).
cnf(c_0_2414,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1708]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1708]),
[final] ).
cnf(c_0_2416,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1708]),
[final] ).
cnf(c_0_2417,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2110]),
[final] ).
cnf(c_0_2418,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1575]),
[final] ).
cnf(c_0_2419,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2111,c_0_1575]),c_0_2112]),
[final] ).
cnf(c_0_2420,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1575]),
[final] ).
cnf(c_0_2421,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1959]),
[final] ).
cnf(c_0_2422,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1959]),
[final] ).
cnf(c_0_2423,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1871]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1871]),
[final] ).
cnf(c_0_2425,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2113]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2114]),
[final] ).
cnf(c_0_2427,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1820]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2115]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2116]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2117]),
[final] ).
cnf(c_0_2431,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2118]),
[final] ).
cnf(c_0_2432,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1996,c_0_2119]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_2119]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_2119]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2119]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2120]),
[final] ).
cnf(c_0_2437,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1764]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1936]),
[final] ).
cnf(c_0_2439,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1936]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1936]),
[final] ).
cnf(c_0_2441,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2121]),
[final] ).
cnf(c_0_2442,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1551]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2122,c_0_1370]),
[final] ).
cnf(c_0_2444,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2122,c_0_1293]),
[final] ).
cnf(c_0_2445,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2123]),
[final] ).
cnf(c_0_2446,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2074]),
[final] ).
cnf(c_0_2447,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2075]),
[final] ).
cnf(c_0_2448,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2124]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2124]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2124]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1758]),
[final] ).
cnf(c_0_2452,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2125]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_1727]),
[final] ).
cnf(c_0_2454,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2078]),
[final] ).
cnf(c_0_2455,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1814]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1814]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1746]),
[final] ).
cnf(c_0_2458,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1746]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_1746]),c_0_195]),
[final] ).
cnf(c_0_2460,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1815]),c_0_135]),
[final] ).
cnf(c_0_2461,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1815]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1815]),
[final] ).
cnf(c_0_2463,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2126,c_0_1692]),
[final] ).
cnf(c_0_2464,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1692]),
[final] ).
cnf(c_0_2465,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1816]),
[final] ).
cnf(c_0_2466,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1817]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1818]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1819]),
[final] ).
cnf(c_0_2469,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1749]),
[final] ).
cnf(c_0_2470,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1704,c_0_2127]),
[final] ).
cnf(c_0_2471,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1704,c_0_2004]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2128]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2129]),
[final] ).
cnf(c_0_2474,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_1946]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2084]),
[final] ).
cnf(c_0_2476,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2130,c_0_2035]),
[final] ).
cnf(c_0_2477,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1620]),
[final] ).
cnf(c_0_2478,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1620]),c_0_224]),
[final] ).
cnf(c_0_2479,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1947]),
[final] ).
cnf(c_0_2480,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2131]),
[final] ).
cnf(c_0_2481,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1571]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1852]),
[final] ).
cnf(c_0_2483,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1498]),
[final] ).
cnf(c_0_2484,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2132,c_0_2035]),
[final] ).
cnf(c_0_2485,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_2133]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1719]),
[final] ).
cnf(c_0_2487,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1719]),
[final] ).
cnf(c_0_2488,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1851]),
[final] ).
cnf(c_0_2489,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1484]),
[final] ).
cnf(c_0_2490,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2134,c_0_2096]),c_0_1466]),c_0_1465]),c_0_1573]),c_0_1477]),
[final] ).
cnf(c_0_2491,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2135]),
[final] ).
cnf(c_0_2492,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1944]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1944]),
[final] ).
cnf(c_0_2494,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1944]),
[final] ).
cnf(c_0_2495,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2136]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1996,c_0_1849]),
[final] ).
cnf(c_0_2497,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1849]),
[final] ).
cnf(c_0_2498,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1849]),
[final] ).
cnf(c_0_2499,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1849]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1996,c_0_2137]),
[final] ).
cnf(c_0_2501,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_1373]),c_0_1573]),
[final] ).
cnf(c_0_2502,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_2137]),
[final] ).
cnf(c_0_2503,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_2137]),
[final] ).
cnf(c_0_2504,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2137]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2138]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1630,c_0_2139]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_2139]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2140,c_0_1979]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2141,c_0_1979]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_2142]),
[final] ).
cnf(c_0_2511,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_2142]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_2142]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_2142]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_2142]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2143,c_0_1780]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2144,c_0_1780]),
[final] ).
cnf(c_0_2517,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1882,c_0_1780]),c_0_373]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1780]),
[final] ).
cnf(c_0_2519,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1978]),
[final] ).
cnf(c_0_2520,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1373]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1618]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2145]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1594]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1516]),
[final] ).
cnf(c_0_2525,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_627,c_0_1500]),
[final] ).
cnf(c_0_2526,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2146]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2146]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2146]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1704,c_0_1023]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2147]),
[final] ).
cnf(c_0_2531,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1985]),
[final] ).
cnf(c_0_2532,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1441]),
[final] ).
cnf(c_0_2533,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2148,c_0_2096]),c_0_420]),
[final] ).
cnf(c_0_2534,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_238,c_0_2149]),c_0_224]),
[final] ).
cnf(c_0_2535,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1700]),
[final] ).
cnf(c_0_2536,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1701]),
[final] ).
cnf(c_0_2537,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1699]),
[final] ).
cnf(c_0_2538,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1813]),
[final] ).
cnf(c_0_2539,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1700]),
[final] ).
cnf(c_0_2540,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1701]),
[final] ).
cnf(c_0_2541,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_1699]),
[final] ).
cnf(c_0_2542,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1700]),
[final] ).
cnf(c_0_2543,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1699]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2090]),
[final] ).
cnf(c_0_2545,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1821]),
[final] ).
cnf(c_0_2546,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1950]),
[final] ).
cnf(c_0_2547,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1951]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1822]),
[final] ).
cnf(c_0_2549,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1823]),
[final] ).
cnf(c_0_2550,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1824]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1825]),
[final] ).
cnf(c_0_2552,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1656]),
[final] ).
cnf(c_0_2553,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_2150]),
[final] ).
cnf(c_0_2554,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_2151]),
[final] ).
cnf(c_0_2555,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1752]),
[final] ).
cnf(c_0_2556,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1754]),
[final] ).
cnf(c_0_2557,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1753,c_0_1621]),
[final] ).
cnf(c_0_2558,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1753,c_0_1757]),
[final] ).
cnf(c_0_2559,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1621]),
[final] ).
cnf(c_0_2560,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1757]),
[final] ).
cnf(c_0_2561,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1596]),
[final] ).
cnf(c_0_2562,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1572]),
[final] ).
cnf(c_0_2563,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1701]),
[final] ).
cnf(c_0_2564,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1813]),
[final] ).
cnf(c_0_2565,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2152]),
[final] ).
cnf(c_0_2566,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2153]),
[final] ).
cnf(c_0_2567,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2153]),
[final] ).
cnf(c_0_2568,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2153]),
[final] ).
cnf(c_0_2569,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1941]),
[final] ).
cnf(c_0_2570,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1941]),
[final] ).
cnf(c_0_2571,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1941]),
[final] ).
cnf(c_0_2572,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2154]),
[final] ).
cnf(c_0_2573,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2154]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2154]),
[final] ).
cnf(c_0_2575,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2155,c_0_1370]),
[final] ).
cnf(c_0_2576,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2155,c_0_1293]),
[final] ).
cnf(c_0_2577,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2156]),
[final] ).
cnf(c_0_2578,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_2157]),
[final] ).
cnf(c_0_2579,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1167,c_0_1914]),
[final] ).
cnf(c_0_2580,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2158]),
[final] ).
cnf(c_0_2581,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2159]),
[final] ).
cnf(c_0_2582,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1913,c_0_2160]),
[final] ).
cnf(c_0_2583,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_352,c_0_2161]),c_0_2162]),
[final] ).
cnf(c_0_2584,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1709]),
[final] ).
cnf(c_0_2585,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2160]),
[final] ).
cnf(c_0_2586,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2163,c_0_2164]),
[final] ).
cnf(c_0_2587,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1167,c_0_2160]),
[final] ).
cnf(c_0_2588,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1599]),
[final] ).
cnf(c_0_2589,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1913,c_0_1636]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2165,c_0_1622]),
[final] ).
cnf(c_0_2591,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2166,c_0_1622]),
[final] ).
cnf(c_0_2592,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2167,c_0_1622]),
[final] ).
cnf(c_0_2593,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2168,c_0_1622]),
[final] ).
cnf(c_0_2594,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2169,c_0_1622]),
[final] ).
cnf(c_0_2595,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2170,c_0_1622]),
[final] ).
cnf(c_0_2596,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2171,c_0_1622]),
[final] ).
cnf(c_0_2597,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1622]),
[final] ).
cnf(c_0_2598,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_341,c_0_2172]),
[final] ).
cnf(c_0_2599,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1863,c_0_1657]),
[final] ).
cnf(c_0_2600,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_2173,c_0_1622]),c_0_1361]),
[final] ).
cnf(c_0_2601,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2174,c_0_1622]),c_0_1361]),
[final] ).
cnf(c_0_2602,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1597]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_2103]),c_0_1361]),
[final] ).
cnf(c_0_2604,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_2103]),
[final] ).
cnf(c_0_2605,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1993]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1636]),
[final] ).
cnf(c_0_2607,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1167,c_0_1636]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1832]),
[final] ).
cnf(c_0_2609,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2110]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1575]),
[final] ).
cnf(c_0_2611,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1959]),
[final] ).
cnf(c_0_2612,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1871]),
[final] ).
cnf(c_0_2613,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_2113]),c_0_1475]),c_0_1500]),
[final] ).
cnf(c_0_2614,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_2114]),c_0_1475]),c_0_1500]),
[final] ).
cnf(c_0_2615,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1820]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2115]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2175]),
[final] ).
cnf(c_0_2618,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_2176]),
[final] ).
cnf(c_0_2619,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_2119]),
[final] ).
cnf(c_0_2620,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2177]),
[final] ).
cnf(c_0_2621,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_2177]),
[final] ).
cnf(c_0_2622,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2121]),
[final] ).
cnf(c_0_2623,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2178,c_0_2035]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1705]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1608]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2179,c_0_2035]),
[final] ).
cnf(c_0_2627,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1551]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2123]),
[final] ).
cnf(c_0_2629,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1697]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1864]),
[final] ).
cnf(c_0_2631,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1715,c_0_1527]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1515,c_0_1834]),c_0_1475]),
[final] ).
cnf(c_0_2633,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1333,c_0_1774]),
[final] ).
cnf(c_0_2634,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1774]),
[final] ).
cnf(c_0_2635,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_2125]),
[final] ).
cnf(c_0_2636,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_2125]),
[final] ).
cnf(c_0_2637,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1869,c_0_1573]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1964,c_0_1784]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_1995]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1784]),
[final] ).
cnf(c_0_2641,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2002,c_0_1784]),
[final] ).
cnf(c_0_2642,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1548]),
[final] ).
cnf(c_0_2643,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2180,c_0_2164]),
[final] ).
cnf(c_0_2644,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2122,c_0_1262]),
[final] ).
cnf(c_0_2645,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_2164]),
[final] ).
cnf(c_0_2646,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1919,c_0_2164]),
[final] ).
cnf(c_0_2647,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2164]),
[final] ).
cnf(c_0_2648,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1982]),
[final] ).
cnf(c_0_2649,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2111,c_0_1982]),
[final] ).
cnf(c_0_2650,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1982]),
[final] ).
cnf(c_0_2651,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1552]),
[final] ).
cnf(c_0_2652,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2181,c_0_1982]),
[final] ).
cnf(c_0_2653,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1219,c_0_1982]),
[final] ).
cnf(c_0_2654,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1702,c_0_1982]),
[final] ).
cnf(c_0_2655,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1697]),
[final] ).
cnf(c_0_2656,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2126,c_0_1982]),
[final] ).
cnf(c_0_2657,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2182,c_0_1982]),
[final] ).
cnf(c_0_2658,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_1552]),c_0_1475]),
[final] ).
cnf(c_0_2659,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1598,c_0_1970]),c_0_1475]),
[final] ).
cnf(c_0_2660,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1665]),
[final] ).
cnf(c_0_2661,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2183]),
[final] ).
cnf(c_0_2662,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1603]),
[final] ).
cnf(c_0_2663,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2184,c_0_1262]),
[final] ).
cnf(c_0_2664,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2127]),
[final] ).
cnf(c_0_2665,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_4,e_5,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2185]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_1484]),
[final] ).
cnf(c_0_2667,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1666]),
[final] ).
cnf(c_0_2668,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1312]),
[final] ).
cnf(c_0_2669,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1402]),
[final] ).
cnf(c_0_2670,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1476]),
[final] ).
cnf(c_0_2671,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1771]),
[final] ).
cnf(c_0_2672,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1485]),
[final] ).
cnf(c_0_2673,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1546]),
[final] ).
cnf(c_0_2674,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1504]),
[final] ).
cnf(c_0_2675,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_1,e_2,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2096]),
[final] ).
cnf(c_0_2676,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1972,c_0_1306]),
[final] ).
cnf(c_0_2677,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1021,c_0_2096]),
[final] ).
cnf(c_0_2678,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1652,c_0_2096]),c_0_420]),
[final] ).
cnf(c_0_2679,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_1546]),
[final] ).
cnf(c_0_2680,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_2096]),
[final] ).
cnf(c_0_2681,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_2096]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( product(e_5,X1,e_5)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1760]),
[final] ).
cnf(c_0_2683,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2186,c_0_1398]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2186,c_0_1262]),
[final] ).
cnf(c_0_2685,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_115,c_0_2187]),c_0_74]),
[final] ).
cnf(c_0_2686,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_2136]),
[final] ).
cnf(c_0_2687,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_2136]),
[final] ).
cnf(c_0_2688,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_2188]),c_0_2189]),
[final] ).
cnf(c_0_2689,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1494]),
[final] ).
cnf(c_0_2690,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_2137]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2138]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1678]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2190]),
[final] ).
cnf(c_0_2694,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1978]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1948]),
[final] ).
cnf(c_0_2696,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_1594]),c_0_110]),
[final] ).
cnf(c_0_2697,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1516]),
[final] ).
cnf(c_0_2698,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2191,c_0_1317]),
[final] ).
cnf(c_0_2699,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2192,c_0_1262]),
[final] ).
cnf(c_0_2700,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2006,c_0_1645]),
[final] ).
cnf(c_0_2701,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1500]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2193,c_0_1461]),c_0_1475]),
[final] ).
cnf(c_0_2703,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ 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_1172,c_0_1461]),c_0_918]),c_0_1196]),c_0_1036]),
[final] ).
cnf(c_0_2704,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1304]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2194]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1809,c_0_2195]),c_0_1413]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2196]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2197]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2147]),
[final] ).
cnf(c_0_2710,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1502]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2198,c_0_1203]),
[final] ).
cnf(c_0_2712,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1526,c_0_2199]),
[final] ).
cnf(c_0_2713,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1715,c_0_1522]),c_0_2002]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_1462]),
[final] ).
cnf(c_0_2715,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1423]),
[final] ).
cnf(c_0_2716,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2200]),
[final] ).
cnf(c_0_2717,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1846]),
[final] ).
cnf(c_0_2718,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1846]),
[final] ).
cnf(c_0_2719,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1693]),
[final] ).
cnf(c_0_2720,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1167,c_0_1915]),
[final] ).
cnf(c_0_2721,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2106]),
[final] ).
cnf(c_0_2722,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1661]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2201,c_0_1275]),
[final] ).
cnf(c_0_2724,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2202]),
[final] ).
cnf(c_0_2725,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1994,c_0_1296]),
[final] ).
cnf(c_0_2726,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2079,c_0_1873]),
[final] ).
cnf(c_0_2727,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2111,c_0_1873]),
[final] ).
cnf(c_0_2728,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1219,c_0_1873]),
[final] ).
cnf(c_0_2729,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1312]),
[final] ).
cnf(c_0_2730,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1402]),
[final] ).
cnf(c_0_2731,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2203,c_0_1873]),
[final] ).
cnf(c_0_2732,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1305]),
[final] ).
cnf(c_0_2733,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1682]),
[final] ).
cnf(c_0_2734,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1584]),
[final] ).
cnf(c_0_2735,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1499]),
[final] ).
cnf(c_0_2736,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1561]),
[final] ).
cnf(c_0_2737,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_2204,c_0_1413]),
[final] ).
cnf(c_0_2738,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2205,c_0_2206]),
[final] ).
cnf(c_0_2739,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_1681]),
[final] ).
cnf(c_0_2740,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2156]),
[final] ).
cnf(c_0_2741,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1338,c_0_1501]),
[final] ).
cnf(c_0_2742,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2007]),
[final] ).
cnf(c_0_2743,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2207,c_0_2035]),
[final] ).
cnf(c_0_2744,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1585]),
[final] ).
cnf(c_0_2745,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_1394]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_1394]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_1394]),
[final] ).
cnf(c_0_2748,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_195,c_0_1394]),
[final] ).
cnf(c_0_2749,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_238,c_0_1394]),
[final] ).
cnf(c_0_2750,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2208,c_0_1398]),
[final] ).
cnf(c_0_2751,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2208,c_0_1262]),
[final] ).
cnf(c_0_2752,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2209,c_0_1262]),
[final] ).
cnf(c_0_2753,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2155,c_0_1398]),
[final] ).
cnf(c_0_2754,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2155,c_0_1262]),
[final] ).
cnf(c_0_2755,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_353,c_0_1365]),
[final] ).
cnf(c_0_2756,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2210,c_0_2206]),
[final] ).
cnf(c_0_2757,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1494]),
[final] ).
cnf(c_0_2758,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2211]),
[final] ).
cnf(c_0_2759,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2212]),
[final] ).
cnf(c_0_2760,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1949]),
[final] ).
cnf(c_0_2761,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1480]),
[final] ).
cnf(c_0_2762,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1398]),
[final] ).
cnf(c_0_2763,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1262]),
[final] ).
cnf(c_0_2764,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2213,c_0_1443]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2213,c_0_1029]),
[final] ).
cnf(c_0_2766,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2213,c_0_2035]),
[final] ).
cnf(c_0_2767,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1339]),
[final] ).
cnf(c_0_2768,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_1339]),
[final] ).
cnf(c_0_2769,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1312]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_2194]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2214,c_0_927]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2215]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_3,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1333,c_0_1023]),
[final] ).
cnf(c_0_2774,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1842,c_0_1325]),
[final] ).
cnf(c_0_2775,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_1276]),
[final] ).
cnf(c_0_2776,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1423]),
[final] ).
cnf(c_0_2777,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_2200]),
[final] ).
cnf(c_0_2778,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1654]),c_0_134]),
[final] ).
cnf(c_0_2779,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_1654]),
[final] ).
cnf(c_0_2780,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_1654]),c_0_2162]),
[final] ).
cnf(c_0_2781,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_354,c_0_2216]),
[final] ).
cnf(c_0_2782,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_1463,c_0_1293]),c_0_345]),
[final] ).
cnf(c_0_2783,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1879]),
[final] ).
cnf(c_0_2784,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1579]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2217]),
[final] ).
cnf(c_0_2786,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_354,c_0_1917]),
[final] ).
cnf(c_0_2787,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1167,c_0_1275]),
[final] ).
cnf(c_0_2788,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2140,c_0_1579]),
[final] ).
cnf(c_0_2789,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1306]),
[final] ).
cnf(c_0_2790,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2218]),
[final] ).
cnf(c_0_2791,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2219,c_0_1298]),
[final] ).
cnf(c_0_2792,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2201,c_0_1298]),
[final] ).
cnf(c_0_2793,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1492,c_0_1298]),
[final] ).
cnf(c_0_2794,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1298]),
[final] ).
cnf(c_0_2795,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2220]),
[final] ).
cnf(c_0_2796,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2221]),
[final] ).
cnf(c_0_2797,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1296]),
[final] ).
cnf(c_0_2798,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_1296]),
[final] ).
cnf(c_0_2799,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_224,c_0_1296]),
[final] ).
cnf(c_0_2800,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1586]),
[final] ).
cnf(c_0_2801,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1562]),
[final] ).
cnf(c_0_2802,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1276]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1265]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_1232]),
[final] ).
cnf(c_0_2805,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2222]),
[final] ).
cnf(c_0_2806,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2222]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1790]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2018]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2223]),
[final] ).
cnf(c_0_2810,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1583]),
[final] ).
cnf(c_0_2811,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1558]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1167,c_0_1790]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_2018]),
[final] ).
cnf(c_0_2814,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1427]),c_0_134]),
[final] ).
cnf(c_0_2815,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_1427]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1390]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1279]),
[final] ).
cnf(c_0_2818,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_2224]),c_0_114]),
[final] ).
cnf(c_0_2819,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_2225]),c_0_114]),
[final] ).
cnf(c_0_2820,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2226,c_0_1023]),
[final] ).
cnf(c_0_2821,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2227]),
[final] ).
cnf(c_0_2822,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2228]),
[final] ).
cnf(c_0_2823,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1662]),
[final] ).
cnf(c_0_2824,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1612]),
[final] ).
cnf(c_0_2825,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1853]),
[final] ).
cnf(c_0_2826,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2229]),
[final] ).
cnf(c_0_2827,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_2229]),
[final] ).
cnf(c_0_2828,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_2229]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2230]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1712]),
[final] ).
cnf(c_0_2831,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1241]),
[final] ).
cnf(c_0_2832,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2231]),
[final] ).
cnf(c_0_2833,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2206]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1348]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1155,c_0_2206]),
[final] ).
cnf(c_0_2836,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1348]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1302,c_0_1443]),
[final] ).
cnf(c_0_2838,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1302,c_0_2035]),
[final] ).
cnf(c_0_2839,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1507]),
[final] ).
cnf(c_0_2840,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2232]),
[final] ).
cnf(c_0_2841,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1406]),
[final] ).
cnf(c_0_2842,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1131]),
[final] ).
cnf(c_0_2843,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1152]),
[final] ).
cnf(c_0_2844,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1152]),
[final] ).
cnf(c_0_2845,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1969]),c_0_224]),
[final] ).
cnf(c_0_2846,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1509]),c_0_352]),
[final] ).
cnf(c_0_2847,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2233]),
[final] ).
cnf(c_0_2848,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1356]),
[final] ).
cnf(c_0_2849,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2234]),
[final] ).
cnf(c_0_2850,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1891]),
[final] ).
cnf(c_0_2851,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1237]),
[final] ).
cnf(c_0_2852,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1891]),
[final] ).
cnf(c_0_2853,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1246]),
[final] ).
cnf(c_0_2854,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1660]),
[final] ).
cnf(c_0_2855,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2235]),
[final] ).
cnf(c_0_2856,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1228]),
[final] ).
cnf(c_0_2857,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1228]),
[final] ).
cnf(c_0_2858,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1892]),
[final] ).
cnf(c_0_2859,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2236]),
[final] ).
cnf(c_0_2860,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1892]),
[final] ).
cnf(c_0_2861,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1437]),
[final] ).
cnf(c_0_2862,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1191]),
[final] ).
cnf(c_0_2863,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1107]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1455]),c_0_92]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1360]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_1197]),c_0_238]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1881]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_627,c_0_1305]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2237]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1445]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1305]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1294]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2047,c_0_1269]),c_0_2238]),c_0_435]),
[final] ).
cnf(c_0_2874,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_1102]),
[final] ).
cnf(c_0_2875,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2239]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_2239]),
[final] ).
cnf(c_0_2877,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1894]),
[final] ).
cnf(c_0_2878,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1894]),
[final] ).
cnf(c_0_2879,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_1894]),
[final] ).
cnf(c_0_2880,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1894]),
[final] ).
cnf(c_0_2881,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1421]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1421]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1421]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_1421]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1794]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1019]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1168]),
[final] ).
cnf(c_0_2888,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2240]),
[final] ).
cnf(c_0_2889,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1220]),
[final] ).
cnf(c_0_2890,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1443]),
[final] ).
cnf(c_0_2891,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1168]),
[final] ).
cnf(c_0_2892,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1168]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1514]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_999]),
[final] ).
cnf(c_0_2895,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1652,c_0_1286]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_692,c_0_2035]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2241,c_0_512]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_404,c_0_2035]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2242]),
[final] ).
cnf(c_0_2900,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1442]),
[final] ).
cnf(c_0_2901,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_295,c_0_1442]),
[final] ).
cnf(c_0_2902,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1286]),
[final] ).
cnf(c_0_2903,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1278]),
[final] ).
cnf(c_0_2904,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_962]),c_0_224]),
[final] ).
cnf(c_0_2905,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_950]),
[final] ).
cnf(c_0_2906,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_2243]),c_0_92]),
[final] ).
cnf(c_0_2907,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1049]),
[final] ).
cnf(c_0_2908,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_913]),
[final] ).
cnf(c_0_2909,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2244]),
[final] ).
cnf(c_0_2910,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2245]),
[final] ).
cnf(c_0_2911,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2246]),
[final] ).
cnf(c_0_2912,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1899]),
[final] ).
cnf(c_0_2913,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1738]),
[final] ).
cnf(c_0_2914,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1738]),
[final] ).
cnf(c_0_2915,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_712]),
[final] ).
cnf(c_0_2916,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_135,c_0_720]),c_0_1862]),
[final] ).
cnf(c_0_2917,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1167,c_0_720]),
[final] ).
cnf(c_0_2918,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2247]),
[final] ).
cnf(c_0_2919,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_669]),c_0_195]),
[final] ).
cnf(c_0_2920,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_645]),c_0_353]),
[final] ).
cnf(c_0_2921,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_770]),
[final] ).
cnf(c_0_2922,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2248]),
[final] ).
cnf(c_0_2923,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_2248]),
[final] ).
cnf(c_0_2924,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2248]),
[final] ).
cnf(c_0_2925,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1902]),
[final] ).
cnf(c_0_2926,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_1902]),
[final] ).
cnf(c_0_2927,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_602]),
[final] ).
cnf(c_0_2928,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_581]),
[final] ).
cnf(c_0_2929,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_634]),c_0_238]),c_0_224]),
[final] ).
cnf(c_0_2930,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2249]),
[final] ).
cnf(c_0_2931,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2250]),
[final] ).
cnf(c_0_2932,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2251]),
[final] ).
cnf(c_0_2933,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1174]),
[final] ).
cnf(c_0_2934,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2252]),
[final] ).
cnf(c_0_2935,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2253]),
[final] ).
cnf(c_0_2936,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2254]),
[final] ).
cnf(c_0_2937,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2255]),
[final] ).
cnf(c_0_2938,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_613]),
[final] ).
cnf(c_0_2939,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2256]),
[final] ).
cnf(c_0_2940,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1006]),
[final] ).
cnf(c_0_2941,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2257]),
[final] ).
cnf(c_0_2942,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2258]),
[final] ).
cnf(c_0_2943,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2259]),
[final] ).
cnf(c_0_2944,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1679]),
[final] ).
cnf(c_0_2945,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2260]),
[final] ).
cnf(c_0_2946,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1723]),
[final] ).
cnf(c_0_2947,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2261]),
[final] ).
cnf(c_0_2948,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_589]),
[final] ).
cnf(c_0_2949,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2249]),
[final] ).
cnf(c_0_2950,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1174]),
[final] ).
cnf(c_0_2951,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1174]),
[final] ).
cnf(c_0_2952,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1174]),
[final] ).
cnf(c_0_2953,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_220,c_0_2253]),
[final] ).
cnf(c_0_2954,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2253]),
[final] ).
cnf(c_0_2955,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1167,c_0_2254]),
[final] ).
cnf(c_0_2956,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_613]),
[final] ).
cnf(c_0_2957,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_2256]),
[final] ).
cnf(c_0_2958,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_2256]),
[final] ).
cnf(c_0_2959,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_2256]),
[final] ).
cnf(c_0_2960,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_2256]),
[final] ).
cnf(c_0_2961,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1006]),
[final] ).
cnf(c_0_2962,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_2258]),
[final] ).
cnf(c_0_2963,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_224,c_0_2258]),
[final] ).
cnf(c_0_2964,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_2259]),
[final] ).
cnf(c_0_2965,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_2260]),
[final] ).
cnf(c_0_2966,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_601]),
[final] ).
cnf(c_0_2967,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_578]),
[final] ).
cnf(c_0_2968,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_589]),
[final] ).
cnf(c_0_2969,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_554]),
[final] ).
cnf(c_0_2970,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2262]),
[final] ).
cnf(c_0_2971,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_578]),
[final] ).
cnf(c_0_2972,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_578]),
[final] ).
cnf(c_0_2973,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_578]),
[final] ).
cnf(c_0_2974,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_525]),
[final] ).
cnf(c_0_2975,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_555]),
[final] ).
cnf(c_0_2976,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_555]),
[final] ).
cnf(c_0_2977,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_554]),
[final] ).
cnf(c_0_2978,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_220,c_0_531]),
[final] ).
cnf(c_0_2979,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_531]),
[final] ).
cnf(c_0_2980,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_524]),
[final] ).
cnf(c_0_2981,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1105]),c_0_224]),
[final] ).
cnf(c_0_2982,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2263]),c_0_195]),c_0_114]),
[final] ).
cnf(c_0_2983,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_512]),
[final] ).
cnf(c_0_2984,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1269]),
[final] ).
cnf(c_0_2985,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_412]),
[final] ).
cnf(c_0_2986,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_991]),c_0_74]),
[final] ).
cnf(c_0_2987,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2264]),
[final] ).
cnf(c_0_2988,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2265]),
[final] ).
cnf(c_0_2989,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2266]),
[final] ).
cnf(c_0_2990,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2267]),
[final] ).
cnf(c_0_2991,negated_conjecture,
~ product(e_1,e_4,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2268,c_0_167]),c_0_113]),c_0_173]),
[final] ).
cnf(c_0_2992,negated_conjecture,
~ product(e_1,e_5,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2268,c_0_130]),c_0_113]),c_0_143]),
[final] ).
cnf(c_0_2993,negated_conjecture,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2268,c_0_99]),c_0_113]),c_0_2269]),
[final] ).
cnf(c_0_2994,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_2270]),c_0_1908]),
[final] ).
cnf(c_0_2995,plain,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_2271]),c_0_2272]),
[final] ).
cnf(c_0_2996,plain,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_2273]),c_0_2274]),
[final] ).
cnf(c_0_2997,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2275,c_0_2276]),c_0_918]),c_0_220]),
[final] ).
cnf(c_0_2998,plain,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_407]),c_0_220]),c_0_354]),
[final] ).
cnf(c_0_2999,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_354,c_0_397]),c_0_2277]),c_0_2278]),c_0_220]),
[final] ).
cnf(c_0_3000,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_275,c_0_122]),c_0_112]),c_0_435]),c_0_1192]),c_0_402]),
[final] ).
cnf(c_0_3001,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_3002,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_3003,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_3004,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_3005,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_3006,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_3007,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_3008,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_3009,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_3010,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_3011,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP129-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 2400
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Oct 3 02:11:29 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.IWPYVBXWq3/E---3.1_25188.p
% 580.08/300.07 # Version: 3.1pre001
% 580.08/300.07 # Preprocessing class: FSMSSMSSSSSNFFN.
% 580.08/300.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 580.08/300.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 580.08/300.07 # Starting new_bool_3 with 300s (1) cores
% 580.08/300.07 # Starting new_bool_1 with 300s (1) cores
% 580.08/300.07 # Starting sh5l with 300s (1) cores
% 580.08/300.07 # sh5l with pid 25268 completed with status 1
% 580.08/300.07 # Result found by sh5l
% 580.08/300.07 # Preprocessing class: FSMSSMSSSSSNFFN.
% 580.08/300.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 580.08/300.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 580.08/300.07 # Starting new_bool_3 with 300s (1) cores
% 580.08/300.07 # Starting new_bool_1 with 300s (1) cores
% 580.08/300.07 # Starting sh5l with 300s (1) cores
% 580.08/300.07 # SinE strategy is gf500_gu_R04_F100_L20000
% 580.08/300.07 # Search class: FGHNF-FFSM00-SFFFFFNN
% 580.08/300.07 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 580.08/300.07 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 580.08/300.07 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 25275 completed with status 1
% 580.08/300.07 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 580.08/300.07 # Preprocessing class: FSMSSMSSSSSNFFN.
% 580.08/300.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 580.08/300.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 580.08/300.07 # Starting new_bool_3 with 300s (1) cores
% 580.08/300.07 # Starting new_bool_1 with 300s (1) cores
% 580.08/300.07 # Starting sh5l with 300s (1) cores
% 580.08/300.07 # SinE strategy is gf500_gu_R04_F100_L20000
% 580.08/300.07 # Search class: FGHNF-FFSM00-SFFFFFNN
% 580.08/300.07 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 580.08/300.07 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 580.08/300.07 # Preprocessing time : 0.001 s
% 580.08/300.07 # Presaturation interreduction done
% 580.08/300.07
% 580.08/300.07 # No proof found!
% 580.08/300.07 # SZS status Satisfiable
% 580.08/300.07 # SZS output start Saturation
% See solution above
% 580.08/300.07 # Parsed axioms : 45
% 580.08/300.07 # Removed by relevancy pruning/SinE : 0
% 580.08/300.07 # Initial clauses : 45
% 580.08/300.07 # Removed in clause preprocessing : 0
% 580.08/300.07 # Initial clauses in saturation : 45
% 580.08/300.07 # Processed clauses : 36057
% 580.08/300.07 # ...of these trivial : 36
% 580.08/300.07 # ...subsumed : 27766
% 580.08/300.07 # ...remaining for further processing : 8255
% 580.08/300.07 # Other redundant clauses eliminated : 0
% 580.08/300.07 # Clauses deleted for lack of memory : 0
% 580.08/300.07 # Backward-subsumed : 6088
% 580.08/300.07 # Backward-rewritten : 125
% 580.08/300.07 # Generated clauses : 78581
% 580.08/300.07 # ...of the previous two non-redundant : 74328
% 580.08/300.07 # ...aggressively subsumed : 0
% 580.08/300.07 # Contextual simplify-reflections : 2124
% 580.08/300.07 # Paramodulations : 78153
% 580.08/300.07 # Factorizations : 0
% 580.08/300.07 # NegExts : 0
% 580.08/300.07 # Equation resolutions : 0
% 580.08/300.07 # Total rewrite steps : 1574
% 580.08/300.07 # Propositional unsat checks : 0
% 580.08/300.07 # Propositional check models : 0
% 580.08/300.07 # Propositional check unsatisfiable : 0
% 580.08/300.07 # Propositional clauses : 0
% 580.08/300.07 # Propositional clauses after purity: 0
% 580.08/300.07 # Propositional unsat core size : 0
% 580.08/300.07 # Propositional preprocessing time : 0.000
% 580.08/300.07 # Propositional encoding time : 0.000
% 580.08/300.07 # Propositional solver time : 0.000
% 580.08/300.07 # Success case prop preproc time : 0.000
% 580.08/300.07 # Success case prop encoding time : 0.000
% 580.08/300.07 # Success case prop solver time : 0.000
% 580.08/300.07 # Current number of processed clauses : 1569
% 580.08/300.07 # Positive orientable unit clauses : 24
% 580.08/300.07 # Positive unorientable unit clauses: 0
% 580.08/300.07 # Negative unit clauses : 85
% 580.08/300.07 # Non-unit-clauses : 1460
% 580.08/300.07 # Current number of unprocessed clauses: 0
% 580.08/300.07 # ...number of literals in the above : 0
% 580.08/300.07 # Current number of archived formulas : 0
% 580.08/300.07 # Current number of archived clauses : 6686
% 580.08/300.07 # Clause-clause subsumption calls (NU) : 4528838
% 580.08/300.07 # Rec. Clause-clause subsumption calls : 821588
% 580.08/300.07 # Non-unit clause-clause subsumptions : 31843
% 580.08/300.07 # Unit Clause-clause subsumption calls : 5653
% 580.08/300.07 # Rewrite failures with RHS unbound : 0
% 580.08/300.07 # BW rewrite match attempts : 24
% 580.08/300.07 # BW rewrite match successes : 5
% 580.08/300.07 # Condensation attempts : 0
% 580.08/300.07 # Condensation successes : 0
% 580.08/300.07 # Termbank termtop insertions : 1249230
% 580.08/300.07
% 580.08/300.07 # -------------------------------------------------
% 580.08/300.07 # User time : 5.156 s
% 580.08/300.07 # System time : 0.027 s
% 580.08/300.07 # Total time : 5.183 s
% 580.08/300.07 # Maximum resident set size: 2340 pages
% 580.08/300.07
% 580.08/300.07 # -------------------------------------------------
% 580.08/300.07 # User time : 5.160 s
% 580.08/300.07 # System time : 0.029 s
% 580.08/300.07 # Total time : 5.189 s
% 580.08/300.07 # Maximum resident set size: 2248 pages
% 580.08/300.07 % E---3.1 exiting
%------------------------------------------------------------------------------