%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP126-2.005 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:24:00 PM UTC 2026
% Result : Satisfiable 6.46s 4.39s
% Output : Saturation 6.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(product_total_function1,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
cnf(no_redundancy,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_4) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(qg4,negated_conjecture,
( product(X3,X4,X2)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg4) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_2) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_1) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_then_e_5) ).
cnf(c_0_46,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_47,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_48,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_49,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_50,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_51,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_52,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_53,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_48,c_0_49]),
[final] ).
cnf(c_0_54,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_55,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_56,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_57,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_58,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_59,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_60,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_52]),
[final] ).
cnf(c_0_61,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_62,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_63,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_64,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_47]),
[final] ).
cnf(c_0_65,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_47]),
[final] ).
cnf(c_0_66,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_51])]),
[final] ).
cnf(c_0_67,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_68,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_62,c_0_63]),
[final] ).
cnf(c_0_69,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_64,c_0_51]),
[final] ).
cnf(c_0_70,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_71,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_72,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_73,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_74,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_76,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_77,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_70]),
[final] ).
cnf(c_0_78,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_79,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_71]),
[final] ).
cnf(c_0_80,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_47]),
[final] ).
cnf(c_0_81,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_82,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_47]),
[final] ).
cnf(c_0_83,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_84,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_47]),
[final] ).
cnf(c_0_85,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_86,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_77,c_0_78]),
[final] ).
cnf(c_0_87,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_79,c_0_78]),
[final] ).
cnf(c_0_88,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_80,c_0_51]),
[final] ).
cnf(c_0_89,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_47]),
[final] ).
cnf(c_0_90,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_91,plain,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_92,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_85]),c_0_86]),c_0_87]),c_0_88]) ).
cnf(c_0_93,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_94,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_95,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_96,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_89,c_0_51]),
[final] ).
cnf(c_0_97,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_47]),
[final] ).
cnf(c_0_98,plain,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_47]),
[final] ).
cnf(c_0_100,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_47]),
[final] ).
cnf(c_0_101,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_95]),c_0_96]) ).
cnf(c_0_102,plain,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]),
[final] ).
cnf(c_0_103,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_48,c_0_95]),
[final] ).
cnf(c_0_104,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_52]),
[final] ).
cnf(c_0_105,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_106,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_48,c_0_54]),
[final] ).
cnf(c_0_107,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_52]),
[final] ).
cnf(c_0_108,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_92]),
[final] ).
cnf(c_0_109,negated_conjecture,
( product(X3,X4,X2)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
qg4,
[final] ).
cnf(c_0_110,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_103,c_0_49]) ).
cnf(c_0_112,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_104,c_0_51]),
[final] ).
cnf(c_0_113,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_90,c_0_105]),
[final] ).
cnf(c_0_114,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_85]) ).
cnf(c_0_115,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_82,c_0_51]),
[final] ).
cnf(c_0_116,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_51])]),
[final] ).
cnf(c_0_117,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_48,c_0_85]),
[final] ).
cnf(c_0_118,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_52]),
[final] ).
cnf(c_0_119,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(X1,e_5,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_120,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_121,plain,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_113,c_0_51]),
[final] ).
cnf(c_0_122,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_123,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_117,c_0_54]) ).
cnf(c_0_124,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_118,c_0_51]),
[final] ).
cnf(c_0_125,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_72,c_0_105]),
[final] ).
cnf(c_0_126,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_127,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(X1,e_1,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_122]) ).
cnf(c_0_128,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_125,c_0_51]),
[final] ).
cnf(c_0_130,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_126]),c_0_51])]) ).
cnf(c_0_131,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]) ).
cnf(c_0_132,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_131]),c_0_102]) ).
cnf(c_0_134,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_49]) ).
cnf(c_0_135,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_60,c_0_51]),
[final] ).
cnf(c_0_136,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_133]) ).
cnf(c_0_138,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_5,e_2) ),
inference(sr,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_136]),c_0_51])]) ).
cnf(c_0_140,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_137]),c_0_51])]) ).
cnf(c_0_141,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_138]),c_0_51])]) ).
cnf(c_0_142,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_100,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_140]),c_0_60]),
[final] ).
cnf(c_0_144,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_92]),c_0_143]),
[final] ).
cnf(c_0_146,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_141]) ).
cnf(c_0_147,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_66]),
[final] ).
cnf(c_0_148,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_144,c_0_145]),c_0_146]),
[final] ).
cnf(c_0_149,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_48,c_0_67]),
[final] ).
cnf(c_0_150,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_52]),
[final] ).
cnf(c_0_151,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]),
[final] ).
cnf(c_0_152,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_117,c_0_49]) ).
cnf(c_0_153,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_107,c_0_51]),
[final] ).
cnf(c_0_154,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_49]) ).
cnf(c_0_155,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_150,c_0_51]),
[final] ).
cnf(c_0_156,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_147,c_0_151]) ).
cnf(c_0_157,negated_conjecture,
( product(e_2,e_1,e_2)
| product(X1,e_3,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_92]) ).
cnf(c_0_158,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_75]) ).
cnf(c_0_160,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_161,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_93,c_0_105]),
[final] ).
cnf(c_0_162,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_156]) ).
cnf(c_0_163,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_75]) ).
cnf(c_0_164,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_165,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_76,c_0_105]),
[final] ).
cnf(c_0_166,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_5,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_167,plain,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_161,c_0_51]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_162,c_0_92]) ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_163,c_0_145]) ).
cnf(c_0_170,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_157,c_0_164]) ).
cnf(c_0_171,plain,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_165,c_0_51]),
[final] ).
cnf(c_0_172,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_166]),c_0_167]) ).
cnf(c_0_173,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_92]),
[final] ).
cnf(c_0_174,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_168]),c_0_84]) ).
cnf(c_0_175,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_169]),c_0_51])]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_170]),c_0_171]) ).
cnf(c_0_177,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_172]),c_0_51])]) ).
cnf(c_0_178,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_173]),c_0_51])]),
[final] ).
cnf(c_0_179,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_103,c_0_85]) ).
cnf(c_0_180,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_100,c_0_51]),
[final] ).
cnf(c_0_181,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_182,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_145]),
[final] ).
cnf(c_0_183,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_176]),c_0_51])]) ).
cnf(c_0_184,plain,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_83]) ).
cnf(c_0_185,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_177]),c_0_178]) ).
cnf(c_0_186,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_52]),
[final] ).
cnf(c_0_187,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_179,c_0_180]),c_0_178]) ).
cnf(c_0_188,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_85]) ).
cnf(c_0_189,plain,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_84,c_0_51]),
[final] ).
cnf(c_0_190,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_5,e_4)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_181]) ).
cnf(c_0_191,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_178]),c_0_143]),
[final] ).
cnf(c_0_192,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_193,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_194,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_52]),
[final] ).
cnf(c_0_196,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_116]),
[final] ).
cnf(c_0_197,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_192]),c_0_84]),
[final] ).
cnf(c_0_198,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_151]),
[final] ).
cnf(c_0_199,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_200,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_183]),c_0_100]),c_0_150]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]),
[final] ).
cnf(c_0_202,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_197]),c_0_51])]),
[final] ).
cnf(c_0_203,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_158]) ).
cnf(c_0_204,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_66]) ).
cnf(c_0_205,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_98]) ).
cnf(c_0_206,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_52]),
[final] ).
cnf(c_0_207,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).
cnf(c_0_208,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_52]),
[final] ).
cnf(c_0_209,plain,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_92,c_0_202]),
[final] ).
cnf(c_0_210,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_203,c_0_92]) ).
cnf(c_0_211,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_204]) ).
cnf(c_0_212,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_148]) ).
cnf(c_0_213,plain,
( product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208]),
[final] ).
cnf(c_0_214,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_209]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_210,c_0_202]) ).
cnf(c_0_216,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_211,c_0_92]) ).
cnf(c_0_217,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_212]) ).
cnf(c_0_218,plain,
~ product(e_2,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_213]),c_0_51])]),
[final] ).
cnf(c_0_219,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_220,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_216]),c_0_84]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_222,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_219]),c_0_171]) ).
cnf(c_0_223,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_224,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_222]),c_0_51])]),
[final] ).
cnf(c_0_225,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_223,c_0_202]) ).
cnf(c_0_226,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_105]),
[final] ).
cnf(c_0_227,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_117,c_0_67]) ).
cnf(c_0_228,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_208,c_0_51]),
[final] ).
cnf(c_0_229,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_221,c_0_202]),
[final] ).
cnf(c_0_230,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_73,c_0_105]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product(e_3,e_5,e_1)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_224]),
[final] ).
cnf(c_0_232,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_225]),c_0_226]),
[final] ).
cnf(c_0_233,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_94,c_0_105]),
[final] ).
cnf(c_0_234,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_235,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_229]),c_0_230]),
[final] ).
cnf(c_0_236,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_4,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_196]),
[final] ).
cnf(c_0_237,negated_conjecture,
( product(e_5,e_2,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_118]),
[final] ).
cnf(c_0_238,plain,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_233,c_0_51]),
[final] ).
cnf(c_0_239,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_232]),
[final] ).
cnf(c_0_240,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_103,c_0_67]) ).
cnf(c_0_241,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_99,c_0_51]),
[final] ).
cnf(c_0_242,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_243,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]),c_0_239]),
[final] ).
cnf(c_0_244,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_245,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_158]) ).
cnf(c_0_246,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_242,c_0_243]),
[final] ).
cnf(c_0_247,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_244]) ).
cnf(c_0_248,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_185]),c_0_104]),
[final] ).
cnf(c_0_249,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_105]),
[final] ).
cnf(c_0_250,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_168]) ).
cnf(c_0_251,plain,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_252,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_247,c_0_187]) ).
cnf(c_0_253,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_248]),c_0_249]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_250,c_0_183]) ).
cnf(c_0_255,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_122]) ).
cnf(c_0_256,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_52]),
[final] ).
cnf(c_0_257,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_54]) ).
cnf(c_0_258,plain,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_195,c_0_51]),
[final] ).
cnf(c_0_259,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_251]) ).
cnf(c_0_260,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_252]),c_0_253]) ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_254,c_0_202]) ).
cnf(c_0_262,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_255,c_0_194]) ).
cnf(c_0_263,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_196]),
[final] ).
cnf(c_0_264,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_151]),
[final] ).
cnf(c_0_265,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_66]),
[final] ).
cnf(c_0_266,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_267,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_259]),c_0_171]) ).
cnf(c_0_268,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_116]) ).
cnf(c_0_269,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_262,c_0_200]) ).
cnf(c_0_270,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_186,c_0_263]),
[final] ).
cnf(c_0_271,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_132]),c_0_265]) ).
cnf(c_0_272,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_266]) ).
cnf(c_0_273,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_267]),c_0_51])]),
[final] ).
cnf(c_0_274,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_206,c_0_268]) ).
cnf(c_0_275,plain,
( product(e_2,e_5,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_269]),c_0_208]),c_0_270]),
[final] ).
cnf(c_0_276,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_271]),c_0_209])]) ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_272,c_0_145]) ).
cnf(c_0_278,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_273]),
[final] ).
cnf(c_0_279,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_274,c_0_246]) ).
cnf(c_0_280,plain,
~ product(e_2,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_275]),c_0_51])]),
[final] ).
cnf(c_0_281,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_276]) ).
cnf(c_0_282,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_277]),c_0_167]) ).
cnf(c_0_283,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_75]) ).
cnf(c_0_284,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]) ).
cnf(c_0_285,negated_conjecture,
( product(e_1,e_5,e_2)
| product(X1,e_3,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_148]),
[final] ).
cnf(c_0_286,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_281,c_0_229]) ).
cnf(c_0_287,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_1,e_5)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_282]),c_0_51])]) ).
cnf(c_0_288,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_128]) ).
cnf(c_0_289,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_290,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_66]),
[final] ).
cnf(c_0_291,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_286]),c_0_209])]) ).
cnf(c_0_292,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_287]),c_0_178]) ).
cnf(c_0_293,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_288,c_0_196]) ).
cnf(c_0_294,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_289]),c_0_51])]) ).
cnf(c_0_295,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_290]),
[final] ).
cnf(c_0_296,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_291]),c_0_246]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_5,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_292]) ).
cnf(c_0_298,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_293]),c_0_238]) ).
cnf(c_0_299,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_294]),c_0_84]),
[final] ).
cnf(c_0_300,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_132]),c_0_265]) ).
cnf(c_0_301,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_296]),
[final] ).
cnf(c_0_302,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_120]),c_0_121]) ).
cnf(c_0_303,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_298]),c_0_299]) ).
cnf(c_0_304,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_67]) ).
cnf(c_0_305,plain,
~ product(e_3,e_5,e_5),
inference(spm,[status(thm)],[c_0_65,c_0_51]),
[final] ).
cnf(c_0_306,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_300]),c_0_209])]) ).
cnf(c_0_307,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_81,c_0_105]),
[final] ).
cnf(c_0_308,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_224]),c_0_116]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_302]),c_0_51])]) ).
cnf(c_0_310,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_303]),c_0_51])]) ).
cnf(c_0_311,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_312,plain,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_98,c_0_202]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_306]) ).
cnf(c_0_314,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_308]),
[final] ).
cnf(c_0_315,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_106,c_0_95]) ).
cnf(c_0_316,plain,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_97,c_0_51]),
[final] ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_5,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_309]) ).
cnf(c_0_318,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_5,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_310]) ).
cnf(c_0_319,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_120]) ).
cnf(c_0_320,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_311]) ).
cnf(c_0_321,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_312]),
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_148]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_229]),c_0_314]) ).
cnf(c_0_324,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_290]),
[final] ).
cnf(c_0_325,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_315,c_0_316]) ).
cnf(c_0_326,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_148]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_317,c_0_292]) ).
cnf(c_0_328,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_147,c_0_290]) ).
cnf(c_0_329,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_120]),c_0_121]),c_0_319]) ).
cnf(c_0_330,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_320,c_0_244]) ).
cnf(c_0_331,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_218]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_148]),
[final] ).
cnf(c_0_333,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_323]),c_0_209])]),
[final] ).
cnf(c_0_334,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_324,c_0_66]) ).
cnf(c_0_335,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_325]) ).
cnf(c_0_336,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_326]),
[final] ).
cnf(c_0_337,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_103,c_0_54]) ).
cnf(c_0_338,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_256,c_0_51]),
[final] ).
cnf(c_0_339,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_297,c_0_327]),
[final] ).
cnf(c_0_340,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_328]) ).
cnf(c_0_341,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_326]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_329]),c_0_51])]),
[final] ).
cnf(c_0_343,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_330]),c_0_331]),c_0_248]) ).
cnf(c_0_344,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_183,c_0_202]),
[final] ).
cnf(c_0_345,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_332]),
[final] ).
cnf(c_0_346,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_326]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_301,c_0_333]),
[final] ).
cnf(c_0_348,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_334]) ).
cnf(c_0_349,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_98]) ).
cnf(c_0_350,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_148]),
[final] ).
cnf(c_0_351,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_335,c_0_122]) ).
cnf(c_0_352,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_309]),c_0_233]),
[final] ).
cnf(c_0_353,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_182,c_0_339]),
[final] ).
cnf(c_0_355,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_340,c_0_92]) ).
cnf(c_0_356,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_341,c_0_342]),
[final] ).
cnf(c_0_357,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_343]),c_0_51])]) ).
cnf(c_0_358,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_344]),
[final] ).
cnf(c_0_359,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_342]),c_0_345]),
[final] ).
cnf(c_0_360,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_342]),c_0_206]),
[final] ).
cnf(c_0_361,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_99,c_0_325]) ).
cnf(c_0_362,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_347]),
[final] ).
cnf(c_0_363,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_348,c_0_92]) ).
cnf(c_0_364,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_205,c_0_349]) ).
cnf(c_0_365,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_326]),
[final] ).
cnf(c_0_366,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_350]),
[final] ).
cnf(c_0_367,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_351]),c_0_51])]) ).
cnf(c_0_368,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_352]),c_0_233]),
[final] ).
cnf(c_0_369,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_326]),
[final] ).
cnf(c_0_370,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| ~ product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_353]) ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_354]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_333]),
[final] ).
cnf(c_0_373,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_355]) ).
cnf(c_0_374,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_356]),
[final] ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_357]),c_0_299]) ).
cnf(c_0_376,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_174,c_0_294]) ).
cnf(c_0_377,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_358,c_0_308]) ).
cnf(c_0_378,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_158,c_0_359]),c_0_360]),
[final] ).
cnf(c_0_379,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_308]),c_0_362]) ).
cnf(c_0_380,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_363]),c_0_84]),
[final] ).
cnf(c_0_381,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_364,c_0_218]) ).
cnf(c_0_382,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_160]) ).
cnf(c_0_383,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_342]),c_0_186]),
[final] ).
cnf(c_0_384,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_342]),c_0_366]),
[final] ).
cnf(c_0_385,plain,
( product(e_2,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_367,c_0_368]) ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_354]),
[final] ).
cnf(c_0_387,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_339]),c_0_371]) ).
cnf(c_0_388,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_372,c_0_296]),
[final] ).
cnf(c_0_389,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_373,c_0_183]) ).
cnf(c_0_390,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]),
[final] ).
cnf(c_0_391,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_117,c_0_95]) ).
cnf(c_0_392,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_206,c_0_51]),
[final] ).
cnf(c_0_393,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_377]),c_0_99]),
[final] ).
cnf(c_0_394,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_378]),
[final] ).
cnf(c_0_395,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_379]),c_0_51])]),
[final] ).
cnf(c_0_396,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_397,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_378]),c_0_383]),c_0_384]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_385]),c_0_386]),
[final] ).
cnf(c_0_399,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_387]),c_0_51])]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_388]),
[final] ).
cnf(c_0_401,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_321,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_389,c_0_202]) ).
cnf(c_0_403,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_296]),
[final] ).
cnf(c_0_404,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_206,c_0_390]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_333]),
[final] ).
cnf(c_0_406,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_391,c_0_392]) ).
cnf(c_0_407,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_393]),c_0_116]),c_0_99]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_214,c_0_394]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_395]),
[final] ).
cnf(c_0_410,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_396,c_0_202]),
[final] ).
cnf(c_0_411,plain,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_397]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_398,c_0_399]),
[final] ).
cnf(c_0_413,plain,
~ product(e_5,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_394]),c_0_400]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_401,c_0_342]),
[final] ).
cnf(c_0_415,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_402]) ).
cnf(c_0_416,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_194,c_0_200]),
[final] ).
cnf(c_0_417,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_160,c_0_384]),c_0_383]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_381,c_0_202]),
[final] ).
cnf(c_0_419,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_245,c_0_403]),
[final] ).
cnf(c_0_420,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]),
[final] ).
cnf(c_0_421,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_406,c_0_407]) ).
cnf(c_0_422,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_408]),c_0_409]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_410]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_214,c_0_411]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_412]),
[final] ).
cnf(c_0_426,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_412]),c_0_413]) ).
cnf(c_0_427,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_414]),c_0_104]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_201]) ).
cnf(c_0_429,plain,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_417]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_418]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_359]),c_0_360]),
[final] ).
cnf(c_0_432,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_421,c_0_422]),
[final] ).
cnf(c_0_433,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_105]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_307]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]) ).
cnf(c_0_436,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_428]) ).
cnf(c_0_437,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_429]),
[final] ).
cnf(c_0_438,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_397]),c_0_431]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_432]),
[final] ).
cnf(c_0_440,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_434]),
[final] ).
cnf(c_0_441,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_435]),c_0_51])]) ).
cnf(c_0_442,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_390]),c_0_413]),
[final] ).
cnf(c_0_443,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]),
[final] ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_130]) ).
cnf(c_0_445,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_201]),c_0_440]),
[final] ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_441]),
[final] ).
cnf(c_0_447,negated_conjecture,
( product(e_2,e_3,e_5)
| product(X1,e_5,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_442]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_442]),c_0_443]),
[final] ).
cnf(c_0_449,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_378]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_281,c_0_418]) ).
cnf(c_0_451,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_148]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_444,c_0_110]) ).
cnf(c_0_454,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_445]),c_0_446]),
[final] ).
cnf(c_0_455,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_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_325]) ).
cnf(c_0_456,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_432]),c_0_443]),
[final] ).
cnf(c_0_457,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_313,c_0_418]) ).
cnf(c_0_458,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_448]),
[final] ).
cnf(c_0_459,plain,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_312]),
[final] ).
cnf(c_0_460,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_437,c_0_449]),
[final] ).
cnf(c_0_461,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_450]),c_0_209])]),
[final] ).
cnf(c_0_462,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_451]),
[final] ).
cnf(c_0_463,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_464,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_452]),
[final] ).
cnf(c_0_465,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_466,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_455,c_0_406]) ).
cnf(c_0_467,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_456]),
[final] ).
cnf(c_0_468,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_457]),c_0_209])]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_458,c_0_312]),
[final] ).
cnf(c_0_470,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_459,c_0_460]),
[final] ).
cnf(c_0_471,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_84,c_0_461]),
[final] ).
cnf(c_0_472,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_462,c_0_463]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_388]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_5,e_3,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_465]),c_0_60]),
[final] ).
cnf(c_0_475,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_466,c_0_407]),c_0_422]),c_0_467]) ).
cnf(c_0_476,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_125,c_0_468]),
[final] ).
cnf(c_0_477,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_469]),c_0_470]),
[final] ).
cnf(c_0_478,negated_conjecture,
( product(e_1,e_3,e_4)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_417]),
[final] ).
cnf(c_0_479,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_471,c_0_412]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_308]),c_0_472]),c_0_473]) ).
cnf(c_0_481,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_120]) ).
cnf(c_0_482,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_347]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_474]),
[final] ).
cnf(c_0_484,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_475]),c_0_51])]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_224]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_3,e_5,e_2)
| product(X1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_477]),
[final] ).
cnf(c_0_487,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_478,c_0_477]),
[final] ).
cnf(c_0_488,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_456]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_479]),
[final] ).
cnf(c_0_490,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_480]),c_0_51])]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_296]),c_0_482]) ).
cnf(c_0_492,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_453]) ).
cnf(c_0_493,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_483,c_0_484]),
[final] ).
cnf(c_0_494,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_84,c_0_485]),c_0_195]),
[final] ).
cnf(c_0_495,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_488]),
[final] ).
cnf(c_0_496,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_224]),c_0_116]),
[final] ).
cnf(c_0_497,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_490]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_491]),c_0_51])]),
[final] ).
cnf(c_0_499,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_3,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_492,c_0_110]) ).
cnf(c_0_500,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_495]) ).
cnf(c_0_501,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_496]) ).
cnf(c_0_502,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_497,c_0_308]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_347]),
[final] ).
cnf(c_0_504,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_498]),
[final] ).
cnf(c_0_505,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_499,c_0_454]) ).
cnf(c_0_506,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_500]),c_0_107]),
[final] ).
cnf(c_0_507,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_468]),c_0_501]),
[final] ).
cnf(c_0_508,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_128]) ).
cnf(c_0_509,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_502]),c_0_503]),c_0_504]),
[final] ).
cnf(c_0_510,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_505,c_0_506]),
[final] ).
cnf(c_0_511,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_507]),
[final] ).
cnf(c_0_512,plain,
( product(e_4,e_2,e_3)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_432]),c_0_413]) ).
cnf(c_0_513,negated_conjecture,
( product(e_5,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_449]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_399]),
[final] ).
cnf(c_0_515,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_509]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_510]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_511,c_0_342]) ).
cnf(c_0_518,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_512]),c_0_427]) ).
cnf(c_0_519,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_513,c_0_209]),
[final] ).
cnf(c_0_520,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_175]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_309]),c_0_186]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_309]),c_0_366]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_385]),c_0_386]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_309]),c_0_345]),
[final] ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_309]),c_0_206]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_430,c_0_417]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_442]),c_0_359]),c_0_360]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_132]) ).
cnf(c_0_529,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_206,c_0_479]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_515,c_0_229]),
[final] ).
cnf(c_0_531,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_516]),c_0_517]),
[final] ).
cnf(c_0_532,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_518]),c_0_51])]),
[final] ).
cnf(c_0_533,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_447,c_0_434]),c_0_113]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_519]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(X1,e_1,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_353]) ).
cnf(c_0_536,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_388]),
[final] ).
cnf(c_0_537,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_498]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_160]),c_0_521]),c_0_522]) ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_523]),c_0_524]),c_0_525]),
[final] ).
cnf(c_0_540,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_266]) ).
cnf(c_0_541,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_526]),
[final] ).
cnf(c_0_542,plain,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_251,c_0_359]),c_0_360]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_449]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_527]),
[final] ).
cnf(c_0_545,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_546,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_206,c_0_353]) ).
cnf(c_0_547,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_528,c_0_110]) ).
cnf(c_0_548,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_132]) ).
cnf(c_0_549,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_353]) ).
cnf(c_0_550,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_529,c_0_530]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_531]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_532]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_533]),
[final] ).
cnf(c_0_554,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_465,c_0_506]),
[final] ).
cnf(c_0_555,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_353]) ).
cnf(c_0_556,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_534,c_0_408]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_395]),c_0_86]),c_0_536]),c_0_537]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_538]),c_0_539]),
[final] ).
cnf(c_0_559,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_66]) ).
cnf(c_0_560,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_540,c_0_128]) ).
cnf(c_0_561,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_66]),
[final] ).
cnf(c_0_562,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_541,c_0_542]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_543]),
[final] ).
cnf(c_0_564,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_544]),
[final] ).
cnf(c_0_565,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_545]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_547]),c_0_548]) ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_5,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_441]) ).
cnf(c_0_568,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_476,c_0_424]),c_0_307]),
[final] ).
cnf(c_0_569,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_549,c_0_550]),c_0_551]) ).
cnf(c_0_570,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_552,c_0_420]),c_0_307]),
[final] ).
cnf(c_0_571,negated_conjecture,
( product(e_5,e_3,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_553,c_0_554]),
[final] ).
cnf(c_0_572,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_342]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_557]) ).
cnf(c_0_574,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_306]) ).
cnf(c_0_575,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_558]),
[final] ).
cnf(c_0_576,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_122,c_0_368]),
[final] ).
cnf(c_0_577,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561]) ).
cnf(c_0_578,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_562]),c_0_563]),
[final] ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_3,e_5)
| product(X1,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_564]),
[final] ).
cnf(c_0_580,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_477]),
[final] ).
cnf(c_0_581,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_565,c_0_463]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_566,c_0_454]),c_0_506]) ).
cnf(c_0_583,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_342]),c_0_568]),
[final] ).
cnf(c_0_584,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_266]) ).
cnf(c_0_585,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_266]) ).
cnf(c_0_586,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_569]),c_0_51])]) ).
cnf(c_0_587,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_570]),
[final] ).
cnf(c_0_588,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_571]),
[final] ).
cnf(c_0_589,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_572]),
[final] ).
cnf(c_0_590,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_573]),c_0_51])]),
[final] ).
cnf(c_0_591,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_574,c_0_344]) ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_174,c_0_381]) ).
cnf(c_0_593,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_575,c_0_576]),
[final] ).
cnf(c_0_594,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_3,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_577]),c_0_206]),c_0_186]),
[final] ).
cnf(c_0_595,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_516]),c_0_578]),
[final] ).
cnf(c_0_596,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_581]),
[final] ).
cnf(c_0_597,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_325]) ).
cnf(c_0_598,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_582]),c_0_51])]),
[final] ).
cnf(c_0_599,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_583]),
[final] ).
cnf(c_0_600,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_410]),c_0_585]) ).
cnf(c_0_601,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_586]),c_0_587]),c_0_588]),
[final] ).
cnf(c_0_602,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_589,c_0_590]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_591]),c_0_209])]) ).
cnf(c_0_604,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_592,c_0_202]) ).
cnf(c_0_605,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_593]),
[final] ).
cnf(c_0_606,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_273]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_125,c_0_474]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_541,c_0_449]),
[final] ).
cnf(c_0_609,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_474]),
[final] ).
cnf(c_0_610,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_195,c_0_325]) ).
cnf(c_0_611,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_590]),c_0_595]),
[final] ).
cnf(c_0_612,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_447,c_0_596]),
[final] ).
cnf(c_0_613,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_598]),c_0_599]) ).
cnf(c_0_614,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_510]),
[final] ).
cnf(c_0_615,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_600,c_0_601]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_510]),
[final] ).
cnf(c_0_617,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_590]),c_0_602]) ).
cnf(c_0_618,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_603]) ).
cnf(c_0_619,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_5)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_604]) ).
cnf(c_0_620,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_471,c_0_605]),c_0_226]),
[final] ).
cnf(c_0_621,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_606]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_608]),c_0_609]),
[final] ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_410]),c_0_455]) ).
cnf(c_0_624,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_233,c_0_445]),
[final] ).
cnf(c_0_625,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_342]),
[final] ).
cnf(c_0_626,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_611]),
[final] ).
cnf(c_0_627,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_89,c_0_612]),c_0_99]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_613]),c_0_51])]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_208,c_0_474]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_614,c_0_615]),c_0_616]),
[final] ).
cnf(c_0_631,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_617]),c_0_87]) ).
cnf(c_0_632,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_485]),c_0_618]) ).
cnf(c_0_633,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_428]),c_0_116]) ).
cnf(c_0_634,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_358,c_0_494]),c_0_407]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_206,c_0_620]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_308]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_394]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_621,c_0_580]),c_0_581]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_622]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_623]),c_0_51])]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_624,c_0_312]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_507]) ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_625]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_626,c_0_477]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_453]),c_0_265]) ).
cnf(c_0_646,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_627,c_0_628]),
[final] ).
cnf(c_0_647,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_149,c_0_95]) ).
cnf(c_0_648,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_186,c_0_51]),
[final] ).
cnf(c_0_649,plain,
( product(e_1,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_417]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_453]),c_0_265]) ).
cnf(c_0_651,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_363]) ).
cnf(c_0_652,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_629,c_0_630]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_631]),c_0_51])]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_632]) ).
cnf(c_0_655,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_5,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_633]) ).
cnf(c_0_656,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_634]),c_0_195]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_635,c_0_636]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_5)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_408]),
[final] ).
cnf(c_0_659,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_637,c_0_530]),
[final] ).
cnf(c_0_660,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_99,c_0_628]),c_0_233]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_638]),
[final] ).
cnf(c_0_662,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_5,e_4,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_572]),
[final] ).
cnf(c_0_663,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_110,c_0_454]) ).
cnf(c_0_664,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_639,c_0_640]),
[final] ).
cnf(c_0_665,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_478,c_0_641]),c_0_80]),
[final] ).
cnf(c_0_666,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_642,c_0_640]),
[final] ).
cnf(c_0_667,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_273]),
[final] ).
cnf(c_0_668,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_552,c_0_550]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_570]),
[final] ).
cnf(c_0_670,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_99]),
[final] ).
cnf(c_0_671,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_645]),c_0_209])]) ).
cnf(c_0_672,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_646]),c_0_429]),
[final] ).
cnf(c_0_673,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_647,c_0_648]) ).
cnf(c_0_674,plain,
( ~ product(e_1,e_2,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_649]),
[final] ).
cnf(c_0_675,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_226,c_0_333]),
[final] ).
cnf(c_0_676,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_5,e_3,e_1)
| product(e_4,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_650]),c_0_209])]) ).
cnf(c_0_677,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_494]),
[final] ).
cnf(c_0_678,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_486,c_0_417]),
[final] ).
cnf(c_0_679,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_651,c_0_183]) ).
cnf(c_0_680,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_652,c_0_653]),
[final] ).
cnf(c_0_681,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_654,c_0_530]) ).
cnf(c_0_682,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_656]),c_0_657]),c_0_195]),
[final] ).
cnf(c_0_683,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_478,c_0_418]),
[final] ).
cnf(c_0_684,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_658,c_0_530]),
[final] ).
cnf(c_0_685,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_659,c_0_209]),
[final] ).
cnf(c_0_686,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_206,c_0_590]),
[final] ).
cnf(c_0_687,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_98]) ).
cnf(c_0_688,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_660]),
[final] ).
cnf(c_0_689,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_661,c_0_532]),
[final] ).
cnf(c_0_690,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_160]) ).
cnf(c_0_691,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_459,c_0_543]),
[final] ).
cnf(c_0_692,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_636]),
[final] ).
cnf(c_0_693,negated_conjecture,
( product(e_5,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_662,c_0_590]),
[final] ).
cnf(c_0_694,plain,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_663,c_0_506]),
[final] ).
cnf(c_0_695,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_665]),c_0_666]) ).
cnf(c_0_696,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_667]),
[final] ).
cnf(c_0_697,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_50,c_0_668]),c_0_82]),
[final] ).
cnf(c_0_698,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_669,c_0_670]),
[final] ).
cnf(c_0_699,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_671,c_0_506]),
[final] ).
cnf(c_0_700,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_672]),
[final] ).
cnf(c_0_701,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_673]) ).
cnf(c_0_702,plain,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_484]),c_0_208]),
[final] ).
cnf(c_0_703,plain,
~ product(e_4,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_394]),c_0_675]),
[final] ).
cnf(c_0_704,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_214,c_0_431]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_676,c_0_506]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_331]),c_0_677]),
[final] ).
cnf(c_0_707,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_678]),
[final] ).
cnf(c_0_708,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_438]),
[final] ).
cnf(c_0_709,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_576]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_679,c_0_202]) ).
cnf(c_0_711,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_627,c_0_680]),
[final] ).
cnf(c_0_712,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_681]),
[final] ).
cnf(c_0_713,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_682]),
[final] ).
cnf(c_0_714,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_208,c_0_683]),
[final] ).
cnf(c_0_715,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_684,c_0_685]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_643,c_0_686]),
[final] ).
cnf(c_0_717,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_215,c_0_359]),c_0_360]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_557]),
[final] ).
cnf(c_0_719,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_687,c_0_183]) ).
cnf(c_0_720,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_689]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_691]),c_0_383]),c_0_384]),c_0_692]),
[final] ).
cnf(c_0_722,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_693,c_0_694]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_695]) ).
cnf(c_0_724,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_266]),c_0_697]),c_0_543]) ).
cnf(c_0_725,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_609,c_0_653]),c_0_698]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_699]),c_0_125]),
[final] ).
cnf(c_0_727,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_208,c_0_668]),
[final] ).
cnf(c_0_728,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_5)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_556]),
[final] ).
cnf(c_0_729,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_700,c_0_449]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_479]),c_0_702]),c_0_703]),c_0_704]),c_0_445]),
[final] ).
cnf(c_0_731,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_705]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_208,c_0_706]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_308]),
[final] ).
cnf(c_0_734,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_296]),
[final] ).
cnf(c_0_735,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_449]),
[final] ).
cnf(c_0_736,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_498]),
[final] ).
cnf(c_0_737,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_224]),
[final] ).
cnf(c_0_738,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_708]),
[final] ).
cnf(c_0_739,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_709]),c_0_186]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product(e_4,e_3,e_2)
| 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_610,c_0_710]),c_0_455]) ).
cnf(c_0_741,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_447,c_0_711]),
[final] ).
cnf(c_0_742,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_273]),
[final] ).
cnf(c_0_743,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_635,c_0_246]),
[final] ).
cnf(c_0_744,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_712]),
[final] ).
cnf(c_0_745,negated_conjecture,
( product(e_5,e_3,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_713,c_0_554]),
[final] ).
cnf(c_0_746,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_714,c_0_715]),
[final] ).
cnf(c_0_747,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_686]),c_0_87]),c_0_716]) ).
cnf(c_0_748,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_541,c_0_717]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_690,c_0_75]) ).
cnf(c_0_750,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_350]),c_0_218]),
[final] ).
cnf(c_0_751,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_452]),c_0_218]),
[final] ).
cnf(c_0_752,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_670]),
[final] ).
cnf(c_0_753,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_128,c_0_413]) ).
cnf(c_0_754,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_718,c_0_395]),
[final] ).
cnf(c_0_755,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_719,c_0_202]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_417]),c_0_721]) ).
cnf(c_0_757,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_266,c_0_601]),
[final] ).
cnf(c_0_758,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_643,c_0_722]),
[final] ).
cnf(c_0_759,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_723,c_0_397]),c_0_431]),
[final] ).
cnf(c_0_760,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_542]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_622]),c_0_427]),
[final] ).
cnf(c_0_762,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_724,c_0_601]),
[final] ).
cnf(c_0_763,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_60,c_0_725]),
[final] ).
cnf(c_0_764,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_608]),
[final] ).
cnf(c_0_765,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_727,c_0_449]),
[final] ).
cnf(c_0_766,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_728,c_0_530]),
[final] ).
cnf(c_0_767,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_729]),
[final] ).
cnf(c_0_768,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_730]),
[final] ).
cnf(c_0_769,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_220,c_0_357]) ).
cnf(c_0_770,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_330]) ).
cnf(c_0_771,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_731,c_0_477]),
[final] ).
cnf(c_0_772,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_394]),c_0_733]),
[final] ).
cnf(c_0_773,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_556]),c_0_734]),
[final] ).
cnf(c_0_774,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_735]),
[final] ).
cnf(c_0_775,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_310]),c_0_403]),
[final] ).
cnf(c_0_776,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_737]),
[final] ).
cnf(c_0_777,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_738,c_0_739]),c_0_413]),
[final] ).
cnf(c_0_778,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_607,c_0_344]),
[final] ).
cnf(c_0_779,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_740]),c_0_51])]) ).
cnf(c_0_780,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_741]),
[final] ).
cnf(c_0_781,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_742]),c_0_743]),
[final] ).
cnf(c_0_782,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_745]),c_0_746]),
[final] ).
cnf(c_0_783,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
cnf(c_0_784,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_555,c_0_244]) ).
cnf(c_0_785,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_749]),c_0_167]),c_0_750]) ).
cnf(c_0_786,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_653]),c_0_752]),
[final] ).
cnf(c_0_787,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_753,c_0_595]),
[final] ).
cnf(c_0_788,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_654,c_0_754]) ).
cnf(c_0_789,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_355]),c_0_84]) ).
cnf(c_0_790,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_755]),c_0_116]) ).
cnf(c_0_791,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_220,c_0_381]) ).
cnf(c_0_792,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_4,e_3)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_326]),
[final] ).
cnf(c_0_793,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_539]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_756]),c_0_82]),
[final] ).
cnf(c_0_795,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_757]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_722]),c_0_87]),c_0_758]) ).
cnf(c_0_797,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_700,c_0_759]),
[final] ).
cnf(c_0_798,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_716,c_0_760]),c_0_99]),
[final] ).
cnf(c_0_799,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_761,c_0_653]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product(e_5,e_3,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_554]),
[final] ).
cnf(c_0_801,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_762]),
[final] ).
cnf(c_0_802,negated_conjecture,
( product(e_3,e_5,e_4)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_598]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_431]),c_0_763]),
[final] ).
cnf(c_0_804,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_764]),
[final] ).
cnf(c_0_805,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_765]),
[final] ).
cnf(c_0_806,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_717]),
[final] ).
cnf(c_0_807,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_580]),c_0_581]),
[final] ).
cnf(c_0_808,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_767,c_0_768]),c_0_60]),
[final] ).
cnf(c_0_809,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_769,c_0_427]),
[final] ).
cnf(c_0_810,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_771]),c_0_772]),c_0_773]),c_0_427]),
[final] ).
cnf(c_0_811,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_774]),c_0_99]),
[final] ).
cnf(c_0_812,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_715]),
[final] ).
cnf(c_0_813,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_775]),
[final] ).
cnf(c_0_814,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_206,c_0_739]),
[final] ).
cnf(c_0_815,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_777]),c_0_186]),
[final] ).
cnf(c_0_816,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_778,c_0_779]),
[final] ).
cnf(c_0_817,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_780,c_0_554]),
[final] ).
cnf(c_0_818,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_429]),
[final] ).
cnf(c_0_819,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_781]),
[final] ).
cnf(c_0_820,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_165,c_0_782]),
[final] ).
cnf(c_0_821,negated_conjecture,
( product(e_5,e_4,e_2)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_590]),
[final] ).
cnf(c_0_822,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_783]),c_0_51])]),
[final] ).
cnf(c_0_823,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_296]),c_0_208]),
[final] ).
cnf(c_0_824,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_784]),c_0_51])]) ).
cnf(c_0_825,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_785]),c_0_178]) ).
cnf(c_0_826,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_786]),c_0_165]),
[final] ).
cnf(c_0_827,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_461]),c_0_407]) ).
cnf(c_0_828,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_244,c_0_427]) ).
cnf(c_0_829,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_311,c_0_772]),
[final] ).
cnf(c_0_830,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_543]),
[final] ).
cnf(c_0_831,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_410]),
[final] ).
cnf(c_0_832,plain,
( product(e_5,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_787]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_476,c_0_788]),
[final] ).
cnf(c_0_834,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_224]),
[final] ).
cnf(c_0_835,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_836,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_380,c_0_221]) ).
cnf(c_0_837,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_791,c_0_202]),
[final] ).
cnf(c_0_838,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_354]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_92]),c_0_143]),
[final] ).
cnf(c_0_840,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_794]),c_0_595]),c_0_233]),
[final] ).
cnf(c_0_841,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_795,c_0_796]) ).
cnf(c_0_842,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_797]),c_0_99]),c_0_233]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_798,c_0_799]),
[final] ).
cnf(c_0_844,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_714,c_0_449]),
[final] ).
cnf(c_0_845,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_644]),
[final] ).
cnf(c_0_846,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_801,c_0_554]),
[final] ).
cnf(c_0_847,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_370,c_0_266]) ).
cnf(c_0_848,negated_conjecture,
( product(e_1,e_3,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_803]),c_0_763]),
[final] ).
cnf(c_0_849,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_804,c_0_665]),c_0_805]) ).
cnf(c_0_850,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_716,c_0_806]),c_0_99]),
[final] ).
cnf(c_0_851,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_807]),
[final] ).
cnf(c_0_852,negated_conjecture,
( product(e_1,e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_802,c_0_808]),c_0_60]),
[final] ).
cnf(c_0_853,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_809]),
[final] ).
cnf(c_0_854,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_369,c_0_810]),c_0_99]),
[final] ).
cnf(c_0_855,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_811,c_0_799]),
[final] ).
cnf(c_0_856,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_716,c_0_812]),c_0_99]),
[final] ).
cnf(c_0_857,negated_conjecture,
( product(e_3,e_5,e_4)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_583]),
[final] ).
cnf(c_0_858,negated_conjecture,
( product(e_4,e_1,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_709]),c_0_814]) ).
cnf(c_0_859,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_815]),
[final] ).
cnf(c_0_860,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_487]),
[final] ).
cnf(c_0_861,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_99,c_0_816]),
[final] ).
cnf(c_0_862,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_817]),c_0_818]),
[final] ).
cnf(c_0_863,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_795,c_0_787]),
[final] ).
cnf(c_0_864,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_819,c_0_554]),
[final] ).
cnf(c_0_865,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_820,c_0_554]),
[final] ).
cnf(c_0_866,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_822]),c_0_823]),
[final] ).
cnf(c_0_867,plain,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_824,c_0_427]),c_0_773]) ).
cnf(c_0_868,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_825,c_0_826]),
[final] ).
cnf(c_0_869,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_256,c_0_612]),
[final] ).
cnf(c_0_870,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_496]),
[final] ).
cnf(c_0_871,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_827]) ).
cnf(c_0_872,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_828,c_0_773]),
[final] ).
cnf(c_0_873,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_456]),
[final] ).
cnf(c_0_874,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_256,c_0_829]),
[final] ).
cnf(c_0_875,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_830,c_0_224]),
[final] ).
cnf(c_0_876,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_831,c_0_479]) ).
cnf(c_0_877,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_832]),c_0_427]),
[final] ).
cnf(c_0_878,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_445]),
[final] ).
cnf(c_0_879,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_833]),c_0_407]) ).
cnf(c_0_880,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_607,c_0_543]),
[final] ).
cnf(c_0_881,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_405]),
[final] ).
cnf(c_0_882,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_726,c_0_543]),
[final] ).
cnf(c_0_883,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_834]),
[final] ).
cnf(c_0_884,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_260,c_0_835]) ).
cnf(c_0_885,plain,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_252]),c_0_253]),c_0_319]) ).
cnf(c_0_886,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_174,c_0_221]) ).
cnf(c_0_887,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_836,c_0_202]) ).
cnf(c_0_888,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_837]),c_0_208]),
[final] ).
cnf(c_0_889,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_838,c_0_66]) ).
cnf(c_0_890,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_839]),
[final] ).
cnf(c_0_891,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_840]),
[final] ).
cnf(c_0_892,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_841,c_0_842]),
[final] ).
cnf(c_0_893,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_843]),c_0_721]),
[final] ).
cnf(c_0_894,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_895,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_495]),
[final] ).
cnf(c_0_896,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_844]),c_0_516]),
[final] ).
cnf(c_0_897,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_845]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_846]),
[final] ).
cnf(c_0_899,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_847]),c_0_51])]) ).
cnf(c_0_900,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_848]),
[final] ).
cnf(c_0_901,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_849]) ).
cnf(c_0_902,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_850,c_0_799]),
[final] ).
cnf(c_0_903,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_851,c_0_532]),
[final] ).
cnf(c_0_904,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_852]),
[final] ).
cnf(c_0_905,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_445]),
[final] ).
cnf(c_0_906,negated_conjecture,
( product(X1,e_5,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_848]),
[final] ).
cnf(c_0_907,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_853,c_0_532]),
[final] ).
cnf(c_0_908,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_854,c_0_799]),
[final] ).
cnf(c_0_909,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_855]),
[final] ).
cnf(c_0_910,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_856,c_0_799]),
[final] ).
cnf(c_0_911,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_858]),c_0_859]),
[final] ).
cnf(c_0_912,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_860,c_0_542]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_767,c_0_861]),c_0_233]),
[final] ).
cnf(c_0_914,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_356]),
[final] ).
cnf(c_0_915,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_796,c_0_842]),
[final] ).
cnf(c_0_916,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_863]),
[final] ).
cnf(c_0_917,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_125,c_0_864]),c_0_669]),
[final] ).
cnf(c_0_918,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_125,c_0_865]),c_0_669]),
[final] ).
cnf(c_0_919,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_186,c_0_866]),c_0_669]),
[final] ).
cnf(c_0_920,plain,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_206,c_0_867]) ).
cnf(c_0_921,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_868]),
[final] ).
cnf(c_0_922,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_869,c_0_554]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_870,c_0_510]),c_0_581]),c_0_516]),
[final] ).
cnf(c_0_924,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_468]),c_0_570]) ).
cnf(c_0_925,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_774]),c_0_427]),
[final] ).
cnf(c_0_926,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_871,c_0_872]),c_0_431]),
[final] ).
cnf(c_0_927,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_873,c_0_583]),
[final] ).
cnf(c_0_928,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_874,c_0_685]),
[final] ).
cnf(c_0_929,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_874,c_0_606]),
[final] ).
cnf(c_0_930,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_875]),
[final] ).
cnf(c_0_931,negated_conjecture,
( product(e_2,e_3,e_1)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_876]),c_0_877]),c_0_878]),
[final] ).
cnf(c_0_932,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_879]),
[final] ).
cnf(c_0_933,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_880,c_0_640]),c_0_881]),
[final] ).
cnf(c_0_934,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_882]),
[final] ).
cnf(c_0_935,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_529,c_0_246]),
[final] ).
cnf(c_0_936,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_580]),
[final] ).
cnf(c_0_937,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_474]),c_0_581]),
[final] ).
cnf(c_0_938,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_704]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_884]) ).
cnf(c_0_940,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_885]),c_0_51])]) ).
cnf(c_0_941,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_498]),
[final] ).
cnf(c_0_942,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_333]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_886,c_0_202]) ).
cnf(c_0_944,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_887]) ).
cnf(c_0_945,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_887]) ).
cnf(c_0_946,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_206,c_0_888]),
[final] ).
cnf(c_0_947,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_889]) ).
cnf(c_0_948,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_890,c_0_191]) ).
cnf(c_0_949,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_891,c_0_892]),
[final] ).
cnf(c_0_950,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_150,c_0_705]),c_0_125]),
[final] ).
cnf(c_0_951,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_474]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product(e_4,e_5,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_893]),c_0_82]),
[final] ).
cnf(c_0_953,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_894]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_895,c_0_442]),
[final] ).
cnf(c_0_955,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_745]),
[final] ).
cnf(c_0_956,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_795,c_0_896]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_893]),
[final] ).
cnf(c_0_958,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_897,c_0_796]) ).
cnf(c_0_959,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_527]),
[final] ).
cnf(c_0_960,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_898,c_0_796]) ).
cnf(c_0_961,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_541,c_0_527]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_597,c_0_899]) ).
cnf(c_0_963,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_639,c_0_653]),
[final] ).
cnf(c_0_964,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_844]),c_0_609]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_756]),c_0_586]),
[final] ).
cnf(c_0_966,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_901,c_0_397]),c_0_431]),
[final] ).
cnf(c_0_967,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_902]),
[final] ).
cnf(c_0_968,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_903]),
[final] ).
cnf(c_0_969,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_572]),c_0_104]),
[final] ).
cnf(c_0_970,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_904,c_0_756]),c_0_905]),
[final] ).
cnf(c_0_971,negated_conjecture,
( ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_808]),
[final] ).
cnf(c_0_972,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_906,c_0_416]) ).
cnf(c_0_973,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_627,c_0_799]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_907]),
[final] ).
cnf(c_0_975,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_478,c_0_908]) ).
cnf(c_0_976,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_739]),c_0_910]),c_0_445]),
[final] ).
cnf(c_0_977,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_660]) ).
cnf(c_0_978,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_860,c_0_715]),
[final] ).
cnf(c_0_979,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_629,c_0_911]),
[final] ).
cnf(c_0_980,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_912]),
[final] ).
cnf(c_0_981,negated_conjecture,
( product(e_1,e_3,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_913]),c_0_914]),
[final] ).
cnf(c_0_982,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_915]),
[final] ).
cnf(c_0_983,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_916]),
[final] ).
cnf(c_0_984,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_917,c_0_916]),
[final] ).
cnf(c_0_985,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_918,c_0_916]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_916]),
[final] ).
cnf(c_0_987,plain,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_920,c_0_832]) ).
cnf(c_0_988,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_854,c_0_680]),
[final] ).
cnf(c_0_989,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_639,c_0_484]),
[final] ).
cnf(c_0_990,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_921]),c_0_84]),
[final] ).
cnf(c_0_991,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_185]) ).
cnf(c_0_992,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_806]) ).
cnf(c_0_993,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_307,c_0_922]),c_0_818]),
[final] ).
cnf(c_0_994,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_795,c_0_923]),
[final] ).
cnf(c_0_995,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_485]),
[final] ).
cnf(c_0_996,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_924,c_0_601]),
[final] ).
cnf(c_0_997,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_311]) ).
cnf(c_0_998,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_290]) ).
cnf(c_0_999,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_925]),
[final] ).
cnf(c_0_1000,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_151]) ).
cnf(c_0_1001,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_860,c_0_926]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( product(e_3,e_5,e_4)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_927]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_928]),
[final] ).
cnf(c_0_1004,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_929]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_930,c_0_872]),
[final] ).
cnf(c_0_1006,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_634]),
[final] ).
cnf(c_0_1007,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_931,c_0_148]),
[final] ).
cnf(c_0_1008,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_655,c_0_932]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product(e_3,e_5,e_2)
| 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_455,c_0_638]),c_0_933]) ).
cnf(c_0_1010,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_934,c_0_935]),
[final] ).
cnf(c_0_1011,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_363,c_0_202]),
[final] ).
cnf(c_0_1012,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_936,c_0_224]),
[final] ).
cnf(c_0_1013,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_118,c_0_640]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_5,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_625]),
[final] ).
cnf(c_0_1015,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_937,c_0_640]),c_0_938]),
[final] ).
cnf(c_0_1016,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_673,c_0_703]) ).
cnf(c_0_1017,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_939,c_0_940]),c_0_299]) ).
cnf(c_0_1018,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_941]),c_0_230]),
[final] ).
cnf(c_0_1019,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_414]),
[final] ).
cnf(c_0_1020,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_789,c_0_294]) ).
cnf(c_0_1021,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_739]),
[final] ).
cnf(c_0_1022,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_120]) ).
cnf(c_0_1023,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_942,c_0_421]) ).
cnf(c_0_1024,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_224]),c_0_116]) ).
cnf(c_0_1025,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_206,c_0_604]) ).
cnf(c_0_1026,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_943]) ).
cnf(c_0_1027,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_944,c_0_416]) ).
cnf(c_0_1028,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_945,c_0_888]),c_0_100]),c_0_946]),
[final] ).
cnf(c_0_1029,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_789,c_0_221]) ).
cnf(c_0_1030,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_947,c_0_948]) ).
cnf(c_0_1031,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_949,c_0_151]),c_0_218]),c_0_950]) ).
cnf(c_0_1032,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_369,c_0_762]) ).
cnf(c_0_1033,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_951,c_0_640]),c_0_100]),
[final] ).
cnf(c_0_1034,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_952,c_0_863]),
[final] ).
cnf(c_0_1035,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_737]),
[final] ).
cnf(c_0_1036,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_635,c_0_530]),
[final] ).
cnf(c_0_1037,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_953,c_0_463]),
[final] ).
cnf(c_0_1038,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_233,c_0_954]),c_0_955]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_952,c_0_956]),
[final] ).
cnf(c_0_1040,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_952,c_0_892]),
[final] ).
cnf(c_0_1041,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_952,c_0_615]),
[final] ).
cnf(c_0_1042,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_957,c_0_449]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_892]),
[final] ).
cnf(c_0_1044,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_817]),
[final] ).
cnf(c_0_1045,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_958,c_0_842]),
[final] ).
cnf(c_0_1046,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_959]) ).
cnf(c_0_1047,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_960,c_0_842]),
[final] ).
cnf(c_0_1048,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_961]) ).
cnf(c_0_1049,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_646]),
[final] ).
cnf(c_0_1050,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_962,c_0_601]),c_0_670]),c_0_602]) ).
cnf(c_0_1051,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_640]),c_0_823]),
[final] ).
cnf(c_0_1052,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_963,c_0_665]),c_0_799]),c_0_852]),
[final] ).
cnf(c_0_1053,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_4,e_5,e_2)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_670]),
[final] ).
cnf(c_0_1054,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_964,c_0_653]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_965]),
[final] ).
cnf(c_0_1056,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_957,c_0_966]),
[final] ).
cnf(c_0_1057,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_832]),
[final] ).
cnf(c_0_1058,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_850,c_0_680]),
[final] ).
cnf(c_0_1059,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_967,c_0_893]),c_0_167]),
[final] ).
cnf(c_0_1060,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_856,c_0_680]),
[final] ).
cnf(c_0_1061,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_968,c_0_893]),c_0_167]),
[final] ).
cnf(c_0_1062,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_969,c_0_970]),c_0_971]),
[final] ).
cnf(c_0_1063,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_798,c_0_680]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_893]),c_0_167]),
[final] ).
cnf(c_0_1065,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_972,c_0_973]),
[final] ).
cnf(c_0_1066,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_975]),c_0_167]),
[final] ).
cnf(c_0_1067,negated_conjecture,
( product(e_3,e_1,e_4)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_976]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_977,c_0_978]) ).
cnf(c_0_1069,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_977,c_0_912]) ).
cnf(c_0_1070,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_977,c_0_903]) ).
cnf(c_0_1071,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_977,c_0_689]) ).
cnf(c_0_1072,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_850,c_0_628]),
[final] ).
cnf(c_0_1073,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_856,c_0_628]),
[final] ).
cnf(c_0_1074,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_798,c_0_628]),
[final] ).
cnf(c_0_1075,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_474]),c_0_979]),c_0_609]),
[final] ).
cnf(c_0_1076,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_854,c_0_628]),
[final] ).
cnf(c_0_1077,negated_conjecture,
( product(e_5,e_3,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_800,c_0_686]),
[final] ).
cnf(c_0_1078,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_4,e_3)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_980,c_0_417]),c_0_721]) ).
cnf(c_0_1079,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_113,c_0_981]),
[final] ).
cnf(c_0_1080,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_494]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_982,c_0_983]),
[final] ).
cnf(c_0_1082,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_982,c_0_984]),
[final] ).
cnf(c_0_1083,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_982,c_0_985]),
[final] ).
cnf(c_0_1084,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_982,c_0_986]),
[final] ).
cnf(c_0_1085,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_987,c_0_988]),
[final] ).
cnf(c_0_1086,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_915]),
[final] ).
cnf(c_0_1087,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_577]),c_0_209])]) ).
cnf(c_0_1088,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_989,c_0_665]),c_0_532]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_990]),
[final] ).
cnf(c_0_1090,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_572]),c_0_104]),
[final] ).
cnf(c_0_1091,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_559,c_0_615]) ).
cnf(c_0_1092,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_991,c_0_825]) ).
cnf(c_0_1093,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_541,c_0_715]),
[final] ).
cnf(c_0_1094,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_541,c_0_926]),
[final] ).
cnf(c_0_1095,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_992]),c_0_51])]),
[final] ).
cnf(c_0_1096,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_697,c_0_615]),
[final] ).
cnf(c_0_1097,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_993,c_0_615]),
[final] ).
cnf(c_0_1098,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_559,c_0_956]) ).
cnf(c_0_1099,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_993,c_0_994]),
[final] ).
cnf(c_0_1100,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_995,c_0_996]),c_0_506]),
[final] ).
cnf(c_0_1101,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_559,c_0_994]) ).
cnf(c_0_1102,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_997,c_0_996]),c_0_772]),c_0_506]),
[final] ).
cnf(c_0_1103,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_998,c_0_912]),c_0_882]) ).
cnf(c_0_1104,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_999,c_0_739]),c_0_903]),c_0_445]),
[final] ).
cnf(c_0_1105,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_295,c_0_531]) ).
cnf(c_0_1106,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_559,c_0_954]) ).
cnf(c_0_1107,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1000,c_0_1001]) ).
cnf(c_0_1108,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_860,c_0_449]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1002,c_0_442]),
[final] ).
cnf(c_0_1110,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1003,c_0_745]),c_0_978]),
[final] ).
cnf(c_0_1111,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1004,c_0_745]),c_0_912]),
[final] ).
cnf(c_0_1112,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_447,c_0_927]),
[final] ).
cnf(c_0_1113,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1005]),
[final] ).
cnf(c_0_1114,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_714,c_0_542]),
[final] ).
cnf(c_0_1115,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_543]),
[final] ).
cnf(c_0_1116,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1000,c_0_907]) ).
cnf(c_0_1117,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_713,c_0_572]),
[final] ).
cnf(c_0_1118,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_1006]),
[final] ).
cnf(c_0_1119,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1007]),
[final] ).
cnf(c_0_1120,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_306,c_0_506]),
[final] ).
cnf(c_0_1121,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1008]),
[final] ).
cnf(c_0_1122,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1009]),c_0_51])]),
[final] ).
cnf(c_0_1123,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_1010,c_0_479]),c_0_445]),
[final] ).
cnf(c_0_1124,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_938]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_667]),c_0_208]),
[final] ).
cnf(c_0_1126,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1011]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_424]),
[final] ).
cnf(c_0_1128,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_519]),
[final] ).
cnf(c_0_1129,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_877,c_0_1012]),
[final] ).
cnf(c_0_1130,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_777]),c_0_186]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1014,c_0_1015]),
[final] ).
cnf(c_0_1132,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1016,c_0_702]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1017,c_0_1018]),
[final] ).
cnf(c_0_1134,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1019,c_0_441]),c_0_641]),
[final] ).
cnf(c_0_1135,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_469]),
[final] ).
cnf(c_0_1136,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_390]),c_0_413]),
[final] ).
cnf(c_0_1137,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_549,c_0_187]) ).
cnf(c_0_1138,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_421]) ).
cnf(c_0_1139,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_404,c_0_530]),
[final] ).
cnf(c_0_1140,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1017]) ).
cnf(c_0_1141,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1020]) ).
cnf(c_0_1142,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1021,c_0_187]) ).
cnf(c_0_1143,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_397]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_164,c_0_202]) ).
cnf(c_0_1145,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1022,c_0_160]) ).
cnf(c_0_1146,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_402]) ).
cnf(c_0_1147,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_4,e_5)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_403]),
[final] ).
cnf(c_0_1148,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_405]),
[final] ).
cnf(c_0_1149,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_1023]),c_0_409]),
[final] ).
cnf(c_0_1150,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_206,c_0_120]) ).
cnf(c_0_1151,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_1024]),c_0_415]) ).
cnf(c_0_1152,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1025,c_0_246]) ).
cnf(c_0_1153,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1026,c_0_428]),c_0_116]) ).
cnf(c_0_1154,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_888]),
[final] ).
cnf(c_0_1155,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_2)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_416]),
[final] ).
cnf(c_0_1156,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_942,c_0_1027]) ).
cnf(c_0_1157,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_1028]),
[final] ).
cnf(c_0_1158,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_355,c_0_202]) ).
cnf(c_0_1159,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_887]) ).
cnf(c_0_1160,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1029,c_0_202]) ).
cnf(c_0_1161,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_789,c_0_381]) ).
cnf(c_0_1162,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_216]) ).
cnf(c_0_1163,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1030]),c_0_399]),
[final] ).
cnf(c_0_1164,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_342]),
[final] ).
cnf(c_0_1165,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_82,c_0_1031]),c_0_209])]),
[final] ).
cnf(c_0_1166,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_775]),c_0_946]),
[final] ).
cnf(c_0_1167,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1032,c_0_1033]),c_0_100]),
[final] ).
cnf(c_0_1168,plain,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_417]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1034]),
[final] ).
cnf(c_0_1170,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1035,c_0_1036]),c_0_1037]),c_0_226]),
[final] ).
cnf(c_0_1171,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1038,c_0_1034]),
[final] ).
cnf(c_0_1172,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1039]),
[final] ).
cnf(c_0_1173,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_952,c_0_954]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1040]),
[final] ).
cnf(c_0_1175,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1038,c_0_1040]),
[final] ).
cnf(c_0_1176,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1041]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1038,c_0_1041]),
[final] ).
cnf(c_0_1178,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1042]),
[final] ).
cnf(c_0_1179,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1043]),
[final] ).
cnf(c_0_1180,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1044,c_0_915]),
[final] ).
cnf(c_0_1181,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1045]),
[final] ).
cnf(c_0_1182,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1046]),c_0_51])]),
[final] ).
cnf(c_0_1183,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1047]),
[final] ).
cnf(c_0_1184,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1048]),c_0_51])]),
[final] ).
cnf(c_0_1185,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_729]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1049,c_0_672]),c_0_167]),
[final] ).
cnf(c_0_1187,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_916]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1044,c_0_787]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1050,c_0_842]),c_0_862]),
[final] ).
cnf(c_0_1190,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_186,c_0_1051]),c_0_669]),
[final] ).
cnf(c_0_1191,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1052]),
[final] ).
cnf(c_0_1192,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1053,c_0_680]),
[final] ).
cnf(c_0_1193,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1053,c_0_1054]),
[final] ).
cnf(c_0_1194,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_627,c_0_1054]),
[final] ).
cnf(c_0_1195,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1053,c_0_799]),
[final] ).
cnf(c_0_1196,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_983]),
[final] ).
cnf(c_0_1197,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1056]) ).
cnf(c_0_1198,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_1058]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1059]) ).
cnf(c_0_1200,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_1060]),
[final] ).
cnf(c_0_1201,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1061]) ).
cnf(c_0_1202,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_3,e_1,e_4)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1062]),
[final] ).
cnf(c_0_1203,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_850,c_0_1054]),
[final] ).
cnf(c_0_1204,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_949,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1205,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_1063]),
[final] ).
cnf(c_0_1206,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1064]) ).
cnf(c_0_1207,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_711]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1065]) ).
cnf(c_0_1209,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_988]),
[final] ).
cnf(c_0_1210,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_1055,c_0_1066]) ).
cnf(c_0_1211,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1067,c_0_148]),
[final] ).
cnf(c_0_1212,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_976]),
[final] ).
cnf(c_0_1213,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1068]),c_0_209])]),
[final] ).
cnf(c_0_1214,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1069]),c_0_209])]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1070]),c_0_209])]),
[final] ).
cnf(c_0_1216,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1071]),c_0_209])]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_1072]) ).
cnf(c_0_1218,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_1073]) ).
cnf(c_0_1219,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_1074]) ).
cnf(c_0_1220,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_4,e_5,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1075]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_452]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1034]),
[final] ).
cnf(c_0_1223,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1039]),
[final] ).
cnf(c_0_1224,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1040]),
[final] ).
cnf(c_0_1225,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1041]),
[final] ).
cnf(c_0_1226,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_92]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1073]),
[final] ).
cnf(c_0_1228,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1072]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1074]),
[final] ).
cnf(c_0_1230,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1076]),
[final] ).
cnf(c_0_1231,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_478,c_0_1076]) ).
cnf(c_0_1232,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_686]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1077]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_1078]) ).
cnf(c_0_1235,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1079,c_0_1078]),c_0_1080]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_1033]),
[final] ).
cnf(c_0_1237,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_900,c_0_1078]),c_0_195]),
[final] ).
cnf(c_0_1238,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_840]),
[final] ).
cnf(c_0_1239,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_709]),
[final] ).
cnf(c_0_1240,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1043]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1081]),c_0_823]),
[final] ).
cnf(c_0_1242,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1082]),c_0_823]),
[final] ).
cnf(c_0_1243,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1083]),c_0_823]),
[final] ).
cnf(c_0_1244,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1084]),c_0_823]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1045]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1047]),
[final] ).
cnf(c_0_1247,negated_conjecture,
( product(e_5,e_2,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_722]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_852]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_904,c_0_397]),
[final] ).
cnf(c_0_1250,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1085]),
[final] ).
cnf(c_0_1251,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_745]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( ~ product(e_5,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_208,c_0_571]),
[final] ).
cnf(c_0_1253,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1086]),c_0_823]),
[final] ).
cnf(c_0_1254,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1053,c_0_628]),
[final] ).
cnf(c_0_1255,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_916]),
[final] ).
cnf(c_0_1256,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1087,c_0_595]),c_0_601]),
[final] ).
cnf(c_0_1257,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_680]),
[final] ).
cnf(c_0_1258,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_195,c_0_1054]),
[final] ).
cnf(c_0_1259,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_195,c_0_799]),
[final] ).
cnf(c_0_1260,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_653]),c_0_823]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_510]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1088]),
[final] ).
cnf(c_0_1263,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_966]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_1)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_969,c_0_590]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1090,c_0_867]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_2,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1091]),c_0_209])]),
[final] ).
cnf(c_0_1267,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_1092]) ).
cnf(c_0_1268,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_774]) ).
cnf(c_0_1269,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_812]) ).
cnf(c_0_1270,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_764]) ).
cnf(c_0_1271,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_760]) ).
cnf(c_0_1272,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_1093]) ).
cnf(c_0_1273,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_562]) ).
cnf(c_0_1274,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_1094]) ).
cnf(c_0_1275,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1095]),c_0_823]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_447,c_0_532]),
[final] ).
cnf(c_0_1277,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1096]),
[final] ).
cnf(c_0_1278,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1097]),
[final] ).
cnf(c_0_1279,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_735]),
[final] ).
cnf(c_0_1280,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_608]),
[final] ).
cnf(c_0_1281,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_195,c_0_628]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1098]),c_0_209])]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1099]),
[final] ).
cnf(c_0_1284,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1100]),
[final] ).
cnf(c_0_1285,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_82,c_0_1101]),c_0_209])]),
[final] ).
cnf(c_0_1286,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1102]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1103]),c_0_209])]),
[final] ).
cnf(c_0_1288,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_1104]),
[final] ).
cnf(c_0_1289,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1105]),c_0_209])]),
[final] ).
cnf(c_0_1290,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1106]),c_0_209])]),
[final] ).
cnf(c_0_1291,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1107]),c_0_209])]),
[final] ).
cnf(c_0_1292,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1108]),
[final] ).
cnf(c_0_1293,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_860,c_0_717]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_559,c_0_1109]) ).
cnf(c_0_1295,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_1110]),
[final] ).
cnf(c_0_1296,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_1111]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1112]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1113,c_0_1114]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_844]),
[final] ).
cnf(c_0_1300,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1115,c_0_1114]),
[final] ).
cnf(c_0_1301,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_714,c_0_717]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_580]),
[final] ).
cnf(c_0_1303,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1116]),c_0_209])]),
[final] ).
cnf(c_0_1304,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_809]),c_0_854]) ).
cnf(c_0_1305,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_762]),
[final] ).
cnf(c_0_1306,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_869,c_0_572]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_819,c_0_572]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1115,c_0_935]),
[final] ).
cnf(c_0_1309,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1117,c_0_867]),c_0_1118]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1119,c_0_572]),
[final] ).
cnf(c_0_1311,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_810]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_461]),
[final] ).
cnf(c_0_1313,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_731,c_0_418]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_699]),
[final] ).
cnf(c_0_1315,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1120]),
[final] ).
cnf(c_0_1316,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_833]),
[final] ).
cnf(c_0_1317,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_1121,c_0_554]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_821,c_0_1122]),c_0_823]),
[final] ).
cnf(c_0_1319,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_285,c_0_1123]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_356]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_770,c_0_570]),c_0_772]),c_0_773]),c_0_427]),c_0_167]),c_0_1124]),
[final] ).
cnf(c_0_1322,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_484]),
[final] ).
cnf(c_0_1323,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_570]),c_0_1125]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_553,c_0_572]),
[final] ).
cnf(c_0_1326,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_226,c_0_1127]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_712]),c_0_407]) ).
cnf(c_0_1328,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1128]),
[final] ).
cnf(c_0_1329,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_256,c_0_1129]),
[final] ).
cnf(c_0_1330,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_1130]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1131,c_0_441]),c_0_1127]),
[final] ).
cnf(c_0_1332,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_873,c_0_465]) ).
cnf(c_0_1333,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1014,c_0_816]),
[final] ).
cnf(c_0_1334,plain,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1132]),
[final] ).
cnf(c_0_1335,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_1133]),
[final] ).
cnf(c_0_1336,plain,
( product(e_1,e_2,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_397]),
[final] ).
cnf(c_0_1337,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1134]),
[final] ).
cnf(c_0_1338,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_576]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_541,c_0_394]),
[final] ).
cnf(c_0_1340,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_448]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1135,c_0_420]),c_0_418]),
[final] ).
cnf(c_0_1342,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_701,c_0_872]),c_0_703]),c_0_1037]) ).
cnf(c_0_1343,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_519]),
[final] ).
cnf(c_0_1344,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_2,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1115,c_0_1136]),
[final] ).
cnf(c_0_1345,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_390]),c_0_413]),
[final] ).
cnf(c_0_1346,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_1137]),c_0_51])]) ).
cnf(c_0_1347,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_1017]),c_0_82]),
[final] ).
cnf(c_0_1348,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1138,c_0_1139]),c_0_422]),c_0_1037]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1140,c_0_310]) ).
cnf(c_0_1350,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1141,c_0_376]) ).
cnf(c_0_1351,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1142,c_0_1020]) ).
cnf(c_0_1352,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_438]),
[final] ).
cnf(c_0_1353,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_214,c_0_1143]),
[final] ).
cnf(c_0_1354,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1020,c_0_1018]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1144]) ).
cnf(c_0_1356,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_814,c_0_246]),
[final] ).
cnf(c_0_1357,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1145]),c_0_51])]) ).
cnf(c_0_1358,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_350]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_468]),
[final] ).
cnf(c_0_1360,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_319,c_0_207]) ).
cnf(c_0_1361,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_332]),
[final] ).
cnf(c_0_1362,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_620]),c_0_428]) ).
cnf(c_0_1363,negated_conjecture,
( product(e_2,e_3,e_5)
| product(X1,e_5,e_3)
| ~ product(e_2,e_3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1147,c_0_633]),c_0_1148]),
[final] ).
cnf(c_0_1364,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_1149,c_0_201]),c_0_82]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_742]),
[final] ).
cnf(c_0_1366,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1150,c_0_158]) ).
cnf(c_0_1367,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1151]) ).
cnf(c_0_1368,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_5)
| product(X1,e_4,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1152]) ).
cnf(c_0_1369,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_946,c_0_1153]),c_0_1154]),
[final] ).
cnf(c_0_1370,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1155,c_0_1156]),
[final] ).
cnf(c_0_1371,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1157,c_0_1158]),c_0_1154]),
[final] ).
cnf(c_0_1372,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_837]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1159,c_0_224]) ).
cnf(c_0_1374,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1026,c_0_224]),c_0_116]) ).
cnf(c_0_1375,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1160]) ).
cnf(c_0_1376,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_710]) ).
cnf(c_0_1377,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_216,c_0_202]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1161,c_0_202]) ).
cnf(c_0_1379,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1162,c_0_183]) ).
cnf(c_0_1380,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1163]),
[final] ).
cnf(c_0_1381,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_453]) ).
cnf(c_0_1382,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1165]),c_0_1166]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1165]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_949,c_0_290]),c_0_218]),c_0_1167]) ).
cnf(c_0_1385,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_65,c_0_1165]),
[final] ).
cnf(c_0_1386,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_786]),
[final] ).
cnf(c_0_1387,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_1,e_2,e_5)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1168]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_1170]),c_0_1171]),
[final] ).
cnf(c_0_1389,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1172,c_0_1170]),c_0_1173]),
[final] ).
cnf(c_0_1390,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1174,c_0_1170]),c_0_1175]),
[final] ).
cnf(c_0_1391,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1176,c_0_1170]),c_0_1177]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1178,c_0_1170]),c_0_1065]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_5,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1179,c_0_1170]),c_0_1180]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1181,c_0_1170]),c_0_1182]),
[final] ).
cnf(c_0_1395,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1183,c_0_1170]),c_0_1184]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1185,c_0_1170]),c_0_1186]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_1170]),c_0_1188]),
[final] ).
cnf(c_0_1398,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1189]),
[final] ).
cnf(c_0_1399,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_1034]),
[final] ).
cnf(c_0_1400,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_918,c_0_1034]),
[final] ).
cnf(c_0_1401,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1034]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_950,c_0_1034]),
[final] ).
cnf(c_0_1403,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_917,c_0_1034]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_1034]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1039]),
[final] ).
cnf(c_0_1406,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_1039]),
[final] ).
cnf(c_0_1407,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_1040]),
[final] ).
cnf(c_0_1408,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_918,c_0_1040]),
[final] ).
cnf(c_0_1409,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_950,c_0_1040]),
[final] ).
cnf(c_0_1410,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_917,c_0_1040]),
[final] ).
cnf(c_0_1411,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_1040]),
[final] ).
cnf(c_0_1412,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_1041]),
[final] ).
cnf(c_0_1413,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_918,c_0_1041]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1041]),
[final] ).
cnf(c_0_1415,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_950,c_0_1041]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_917,c_0_1041]),
[final] ).
cnf(c_0_1417,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_1041]),
[final] ).
cnf(c_0_1418,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1191,c_0_893]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1192,c_0_1170]),c_0_711]),
[final] ).
cnf(c_0_1420,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1193,c_0_1170]),c_0_1194]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1195,c_0_1170]),c_0_973]),
[final] ).
cnf(c_0_1422,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1196,c_0_665]),c_0_1197]),c_0_852]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_665]),c_0_1199]),c_0_852]),
[final] ).
cnf(c_0_1424,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1200,c_0_665]),c_0_1201]),c_0_852]),
[final] ).
cnf(c_0_1425,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1202,c_0_1203]),
[final] ).
cnf(c_0_1426,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1202,c_0_902]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1204,c_0_342]),
[final] ).
cnf(c_0_1428,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_662,c_0_794]),
[final] ).
cnf(c_0_1429,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_794]),
[final] ).
cnf(c_0_1430,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1205,c_0_665]),c_0_1206]),c_0_852]),
[final] ).
cnf(c_0_1431,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1207,c_0_665]),c_0_1208]),c_0_852]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1209,c_0_665]),c_0_1210]),c_0_852]),
[final] ).
cnf(c_0_1433,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1211]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1212]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1213]),
[final] ).
cnf(c_0_1436,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1214]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1215]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1216]),
[final] ).
cnf(c_0_1439,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_82,c_0_1217]),c_0_209])]),
[final] ).
cnf(c_0_1440,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_82,c_0_1218]),c_0_209])]),
[final] ).
cnf(c_0_1441,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_82,c_0_1219]),c_0_209])]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_808]),
[final] ).
cnf(c_0_1443,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_856,c_0_1054]),
[final] ).
cnf(c_0_1444,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_798,c_0_1054]),
[final] ).
cnf(c_0_1445,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_854,c_0_1054]),
[final] ).
cnf(c_0_1446,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_325,c_0_842]),
[final] ).
cnf(c_0_1447,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1086]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_1086]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1222,c_0_408]),
[final] ).
cnf(c_0_1450,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1223,c_0_408]),
[final] ).
cnf(c_0_1451,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1224,c_0_408]),
[final] ).
cnf(c_0_1452,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1225,c_0_408]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_1197]),c_0_80]),
[final] ).
cnf(c_0_1454,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_978]),
[final] ).
cnf(c_0_1455,plain,
~ product(e_2,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1226]),c_0_51])]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1001]),
[final] ).
cnf(c_0_1457,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_912]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_957,c_0_394]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1086]),
[final] ).
cnf(c_0_1460,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_803]),
[final] ).
cnf(c_0_1461,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_700,c_0_966]),
[final] ).
cnf(c_0_1462,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1227,c_0_672]),c_0_167]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1228,c_0_672]),c_0_167]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1229,c_0_672]),c_0_167]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1230,c_0_1231]),c_0_167]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_4,e_2,e_1)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_832]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_832]),
[final] ).
cnf(c_0_1468,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_1234,c_0_394]),c_0_557]),
[final] ).
cnf(c_0_1469,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_969,c_0_1235]),c_0_1236]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_1237]),c_0_595]),c_0_669]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1238,c_0_892]),
[final] ).
cnf(c_0_1472,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_970]),
[final] ).
cnf(c_0_1473,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_811,c_0_680]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_811,c_0_1054]),
[final] ).
cnf(c_0_1475,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_1168]),
[final] ).
cnf(c_0_1476,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_911]),c_0_1239]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1240,c_0_408]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1241]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1242]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1243]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1244]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1245,c_0_408]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1246,c_0_408]),
[final] ).
cnf(c_0_1484,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_808]),c_0_1248]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1249]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( product(X1,e_5,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_852]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1250]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1251,c_0_915]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1252,c_0_915]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( product(e_5,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1253]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_700,c_0_394]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_4,e_5,e_3)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_602]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1254,c_0_1170]),c_0_646]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1255,c_0_408]),
[final] ).
cnf(c_0_1495,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_780,c_0_572]),
[final] ).
cnf(c_0_1496,plain,
( product(e_5,e_2,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1256]),c_0_186]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1257,c_0_408]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1258,c_0_408]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1259,c_0_408]),
[final] ).
cnf(c_0_1500,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1260]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_4,e_3,e_1)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1261]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_4,e_3,e_1)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1167]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_4,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1014,c_0_1033]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_3,e_1)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1033]),
[final] ).
cnf(c_0_1505,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1262,c_0_990]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_1263]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_449]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_686]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_593]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1092,c_0_826]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_185,c_0_826]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1264]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1265]),
[final] ).
cnf(c_0_1514,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1266]),
[final] ).
cnf(c_0_1515,plain,
( 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_65,c_0_1256]),
[final] ).
cnf(c_0_1516,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_725]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1267,c_0_378]) ).
cnf(c_0_1518,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1268]),c_0_51])]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1269]),c_0_51])]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1270]),c_0_51])]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1271]),c_0_51])]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1272]),c_0_51])]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1273]),c_0_51])]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1274]),c_0_51])]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_866]),
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1275]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_860,c_0_527]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_1276]),
[final] ).
cnf(c_0_1529,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_811,c_0_628]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1277,c_0_1170]),c_0_932]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1278,c_0_1170]),c_0_596]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1279,c_0_1170]),c_0_959]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1280,c_0_1170]),c_0_961]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1281,c_0_408]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_752,c_0_628]) ).
cnf(c_0_1536,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1282]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1283,c_0_1129]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1284,c_0_485]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1285]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1286,c_0_829]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1266]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1287]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1288]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( product(e_3,e_5,e_2)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1104]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1289]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1290]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1256]),c_0_1166]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1256]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1291]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1292,c_0_1293]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1294]),c_0_209])]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_1110]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1295,c_0_554]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_1111]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1296,c_0_554]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1297,c_0_922]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1298,c_0_1299]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1300,c_0_1301]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1302,c_0_1005]),c_0_638]) ).
cnf(c_0_1560,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1303]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_598]),c_0_595]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1304]),c_0_51])]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_735]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1305,c_0_590]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1306,c_0_590]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1307,c_0_590]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_4,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1264]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_4,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_611]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_747,c_0_558]) ).
cnf(c_0_1570,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1308,c_0_496]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1265]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1309]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_714,c_0_527]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1310,c_0_867]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1311,c_0_867]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_782]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1312,c_0_1313]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1314,c_0_477]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1314,c_0_418]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_726,c_0_1108]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1315,c_0_477]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1316,c_0_1317]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_696,c_0_864]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1318]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_1319]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_699]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_705]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_276,c_0_506]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_745]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1014,c_0_933]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1320,c_0_1321]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_933]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_853,c_0_927]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_599,c_0_640]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_682]),
[final] ).
cnf(c_0_1596,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_552,c_0_442]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_721]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_800,c_0_1051]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_914,c_0_722]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1322,c_0_590]),c_0_1323]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1121,c_0_572]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_914,c_0_686]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1324,c_0_342]) ).
cnf(c_0_1604,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1325,c_0_867]),c_0_1326]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_423,c_0_1327]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1328,c_0_739]),c_0_685]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1329,c_0_556]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1330,c_0_755]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_726,c_0_460]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_745]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_707,c_0_394]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_1261]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_1331]),c_0_1127]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_448]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_936,c_0_408]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_860,c_0_394]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_616,c_0_543]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_616,c_0_460]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1332,c_0_506]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1333,c_0_441]),c_0_424]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_857,c_0_441]),c_0_568]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_874,c_0_556]),
[final] ).
cnf(c_0_1623,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_1164,c_0_730]),c_0_1334]),
[final] ).
cnf(c_0_1624,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_678]),c_0_488]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_1008]) ).
cnf(c_0_1626,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_781]) ).
cnf(c_0_1627,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_911]),
[final] ).
cnf(c_0_1628,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_714,c_0_394]),
[final] ).
cnf(c_0_1629,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_640]),c_0_420]),
[final] ).
cnf(c_0_1630,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_97,c_0_460]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_607,c_0_460]),
[final] ).
cnf(c_0_1632,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_682]),
[final] ).
cnf(c_0_1633,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_533]),
[final] ).
cnf(c_0_1634,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1336]),
[final] ).
cnf(c_0_1635,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_1338]),c_0_418]) ).
cnf(c_0_1636,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1339,c_0_636]),c_0_195]),
[final] ).
cnf(c_0_1637,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1340,c_0_570]),
[final] ).
cnf(c_0_1638,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_1341]),
[final] ).
cnf(c_0_1639,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_1342]),c_0_51])]),
[final] ).
cnf(c_0_1640,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1343,c_0_834]),
[final] ).
cnf(c_0_1641,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1344,c_0_1345]),
[final] ).
cnf(c_0_1642,plain,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1346,c_0_1018]),c_0_1347]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_526]),c_0_307]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_519]),
[final] ).
cnf(c_0_1645,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_875]),c_0_273]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_656]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_708]),
[final] ).
cnf(c_0_1648,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_1168]),
[final] ).
cnf(c_0_1649,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_476,c_0_408]),
[final] ).
cnf(c_0_1650,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_423,c_0_408]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1348]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1349,c_0_1018]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1350,c_0_1018]),
[final] ).
cnf(c_0_1654,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1351,c_0_1018]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_691]),
[final] ).
cnf(c_0_1656,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_875]),
[final] ).
cnf(c_0_1657,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1352]),
[final] ).
cnf(c_0_1658,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_1353]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_311]),c_0_472]) ).
cnf(c_0_1660,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1354]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1355,c_0_1356]) ).
cnf(c_0_1662,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_755]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_342]),
[final] ).
cnf(c_0_1664,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_249,c_0_620]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_414]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_322]),
[final] ).
cnf(c_0_1667,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_1357]),c_0_208]),c_0_1358]),c_0_206]),
[final] ).
cnf(c_0_1668,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1092]) ).
cnf(c_0_1669,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1359,c_0_739]),c_0_712]) ).
cnf(c_0_1670,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1360]),c_0_51])]) ).
cnf(c_0_1671,plain,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_1357]),c_0_1361]),c_0_208]),c_0_345]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_229]),
[final] ).
cnf(c_0_1673,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1362]) ).
cnf(c_0_1674,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1363,c_0_416]),
[final] ).
cnf(c_0_1675,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_813,c_0_412]),c_0_1364]) ).
cnf(c_0_1676,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_321,c_0_682]),c_0_218]),
[final] ).
cnf(c_0_1677,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_201]),c_0_935]) ).
cnf(c_0_1678,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1366]),c_0_51])]) ).
cnf(c_0_1679,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1367,c_0_941]),c_0_230]),
[final] ).
cnf(c_0_1680,plain,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_940]) ).
cnf(c_0_1681,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_1369]),c_0_1154]),c_0_208]),
[final] ).
cnf(c_0_1682,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_230,c_0_888]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_130]) ).
cnf(c_0_1684,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_1028]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1035,c_0_633]) ).
cnf(c_0_1686,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_468]),c_0_84]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1370]),
[final] ).
cnf(c_0_1688,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_603]) ).
cnf(c_0_1689,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_248]),c_0_249]),
[final] ).
cnf(c_0_1690,negated_conjecture,
( product(e_1,e_5,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_1371]),c_0_946]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1372,c_0_633]) ).
cnf(c_0_1692,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_410]),c_0_84]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_825]) ).
cnf(c_0_1694,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_1373]),c_0_946]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_1028]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_1374]),c_0_1375]) ).
cnf(c_0_1697,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1376,c_0_416]) ).
cnf(c_0_1698,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_160]) ).
cnf(c_0_1699,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1157,c_0_312]),
[final] ).
cnf(c_0_1700,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_401,c_0_130]) ).
cnf(c_0_1701,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1377]),
[final] ).
cnf(c_0_1702,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_619,c_0_1378]) ).
cnf(c_0_1703,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_673]) ).
cnf(c_0_1704,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_2)
| product(X1,e_5,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_207]) ).
cnf(c_0_1705,plain,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_242]),c_0_946]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1379,c_0_202]) ).
cnf(c_0_1707,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1380,c_0_201]),c_0_412]),
[final] ).
cnf(c_0_1708,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_339]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_399]),
[final] ).
cnf(c_0_1710,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_576]),
[final] ).
cnf(c_0_1711,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_182,c_0_1381]) ).
cnf(c_0_1712,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_1713,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_1714,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_1715,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_1716,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_339]),
[final] ).
cnf(c_0_1717,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1382]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1383,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1719,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1384]),c_0_209])]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1385,c_0_1386]),
[final] ).
cnf(c_0_1721,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1388]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1388]),
[final] ).
cnf(c_0_1723,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1389]),
[final] ).
cnf(c_0_1724,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1389]),
[final] ).
cnf(c_0_1725,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1390]),
[final] ).
cnf(c_0_1726,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1390]),
[final] ).
cnf(c_0_1727,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1391]),
[final] ).
cnf(c_0_1728,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1391]),
[final] ).
cnf(c_0_1729,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1392]),
[final] ).
cnf(c_0_1730,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1393]),
[final] ).
cnf(c_0_1731,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1393]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1394]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1394]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1395]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1395]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1388]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1389]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1390]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1391]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1396]),
[final] ).
cnf(c_0_1741,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1397]),
[final] ).
cnf(c_0_1742,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1397]),
[final] ).
cnf(c_0_1743,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1393]),
[final] ).
cnf(c_0_1744,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1398]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1189]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1394]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1395]),
[final] ).
cnf(c_0_1748,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1399]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1399]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1399]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1400]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1400]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1400]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1401]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1401]),
[final] ).
cnf(c_0_1756,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1401]),
[final] ).
cnf(c_0_1757,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1402]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1402]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1402]),
[final] ).
cnf(c_0_1760,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1403]),
[final] ).
cnf(c_0_1761,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1403]),
[final] ).
cnf(c_0_1762,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1403]),
[final] ).
cnf(c_0_1763,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1171]),
[final] ).
cnf(c_0_1764,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1171]),
[final] ).
cnf(c_0_1765,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1171]),
[final] ).
cnf(c_0_1766,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1404]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1404]),
[final] ).
cnf(c_0_1768,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1404]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1405]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1406]),
[final] ).
cnf(c_0_1771,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_3)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1407]),
[final] ).
cnf(c_0_1772,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_3)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1408]),
[final] ).
cnf(c_0_1773,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1409]),
[final] ).
cnf(c_0_1774,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_3)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1410]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1175]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_5,e_3)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1411]),
[final] ).
cnf(c_0_1777,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1412]),
[final] ).
cnf(c_0_1778,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1413]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1414]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1415]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1416]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1177]),
[final] ).
cnf(c_0_1783,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1417]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1056]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1418]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_893]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1419]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1419]),
[final] ).
cnf(c_0_1789,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1420]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1420]),
[final] ).
cnf(c_0_1791,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1421]),
[final] ).
cnf(c_0_1792,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1421]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( product(e_4,e_3,e_1)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1422]),
[final] ).
cnf(c_0_1794,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1397]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( product(e_3,e_5,e_1)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1423]),
[final] ).
cnf(c_0_1796,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1424]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1425,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1798,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1426,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_1427]),c_0_186]),
[final] ).
cnf(c_0_1800,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1428,c_0_892]),
[final] ).
cnf(c_0_1801,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1429,c_0_863]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1429,c_0_892]),
[final] ).
cnf(c_0_1803,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1429,c_0_615]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1430]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( product(e_2,e_3,e_5)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1431]),
[final] ).
cnf(c_0_1806,negated_conjecture,
( product(e_3,e_4,e_5)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1432]),
[final] ).
cnf(c_0_1807,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1433,c_0_572]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1434,c_0_572]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_976]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_976]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_976]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1435,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1436,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1814,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1437,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1438,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_1816,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1439]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1440]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1441]),
[final] ).
cnf(c_0_1819,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1398]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1081]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_1081]),
[final] ).
cnf(c_0_1822,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1081]),
[final] ).
cnf(c_0_1823,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_1203]),
[final] ).
cnf(c_0_1824,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_1443]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_1444]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_1194]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_1445]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_908]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_910]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_902]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1442,c_0_843]),
[final] ).
cnf(c_0_1832,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_892]),
[final] ).
cnf(c_0_1833,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1446]),
[final] ).
cnf(c_0_1834,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1063]),
[final] ).
cnf(c_0_1835,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1447,c_0_988]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1447,c_0_711]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1060]),
[final] ).
cnf(c_0_1838,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1447,c_0_1058]),
[final] ).
cnf(c_0_1839,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1448,c_0_1063]),
[final] ).
cnf(c_0_1840,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1448,c_0_988]),
[final] ).
cnf(c_0_1841,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1448,c_0_1060]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1448,c_0_1058]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1449,c_0_403]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1450,c_0_403]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1451,c_0_403]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1452,c_0_403]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_1399]),
[final] ).
cnf(c_0_1848,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_1400]),
[final] ).
cnf(c_0_1849,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_1401]),
[final] ).
cnf(c_0_1850,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_97,c_0_1402]),
[final] ).
cnf(c_0_1851,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_1403]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_1171]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_1404]),
[final] ).
cnf(c_0_1854,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1453,c_0_1168]),
[final] ).
cnf(c_0_1855,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_1199]),c_0_80]),
[final] ).
cnf(c_0_1856,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_1206]),c_0_80]),
[final] ).
cnf(c_0_1857,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_1201]),c_0_80]),
[final] ).
cnf(c_0_1858,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_919,c_0_1039]),
[final] ).
cnf(c_0_1859,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_1039]),c_0_1455]),
[final] ).
cnf(c_0_1860,negated_conjecture,
( product(e_4,e_5,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_1456,c_0_1039]),c_0_1455]),
[final] ).
cnf(c_0_1861,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1457,c_0_1039]),c_0_1455]),
[final] ).
cnf(c_0_1862,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_1173]),
[final] ).
cnf(c_0_1863,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_97,c_0_1042]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1061]),c_0_100]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1458,c_0_403]),
[final] ).
cnf(c_0_1866,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1063]),
[final] ).
cnf(c_0_1867,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_988]),
[final] ).
cnf(c_0_1868,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_113,c_0_1210]),c_0_80]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_711]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1060]),
[final] ).
cnf(c_0_1871,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1058]),
[final] ).
cnf(c_0_1872,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_113,c_0_1208]),c_0_80]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1460,c_0_416]),
[final] ).
cnf(c_0_1874,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_797]),
[final] ).
cnf(c_0_1875,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_3,e_1)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1461]),
[final] ).
cnf(c_0_1876,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1462]),
[final] ).
cnf(c_0_1877,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1186]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1463]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1464]),
[final] ).
cnf(c_0_1880,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_672]),
[final] ).
cnf(c_0_1881,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1465]),
[final] ).
cnf(c_0_1882,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1419]),
[final] ).
cnf(c_0_1883,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1420]),
[final] ).
cnf(c_0_1884,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1421]),
[final] ).
cnf(c_0_1885,negated_conjecture,
( product(e_4,e_5,e_2)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1052]),
[final] ).
cnf(c_0_1886,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_1052]),
[final] ).
cnf(c_0_1887,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_983]),
[final] ).
cnf(c_0_1888,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_983]),
[final] ).
cnf(c_0_1889,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_741]),
[final] ).
cnf(c_0_1890,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1466,c_0_1058]),
[final] ).
cnf(c_0_1891,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1467,c_0_1058]),
[final] ).
cnf(c_0_1892,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1058]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1468]),
[final] ).
cnf(c_0_1894,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_150,c_0_1469]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1470]),c_0_1166]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_165,c_0_1237]),
[final] ).
cnf(c_0_1897,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1466,c_0_1060]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1467,c_0_1060]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1060]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1471,c_0_1386]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1202,c_0_660]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_1062]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1062]),c_0_1166]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_891,c_0_570]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_840]),c_0_1166]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1472,c_0_660]),
[final] ).
cnf(c_0_1907,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1429,c_0_570]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_662,c_0_970]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_165,c_0_970]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_165,c_0_794]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_2,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1473]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1466,c_0_1063]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1467,c_0_1063]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1063]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1466,c_0_711]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1467,c_0_711]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_711]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1466,c_0_988]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1467,c_0_988]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_988]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1203]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1474]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_967,c_0_1168]),c_0_167]),c_0_1475]),
[final] ).
cnf(c_0_1924,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_1164,c_0_1213]),c_0_1166]),c_0_1476]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1477,c_0_403]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1478]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1479]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1480]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1481]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1482,c_0_403]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1483,c_0_403]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_795,c_0_1484]),
[final] ).
cnf(c_0_1933,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_1446]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1079,c_0_397]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_981]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1485,c_0_660]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( product(X1,e_5,e_1)
| ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1486,c_0_660]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1484]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_1484]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1487,c_0_915]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_913]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( product(e_4,e_5,e_3)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_915]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_256,c_0_913]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_808]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_808]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_125,c_0_808]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_808]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1488]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1488]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1489]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1489]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_1490]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_1253]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_1461]),c_0_99]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1462]),c_0_100]),
[final] ).
cnf(c_0_1956,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_1462]),c_0_99]),
[final] ).
cnf(c_0_1957,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_307,c_0_1186]),c_0_99]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_1463]),c_0_99]),
[final] ).
cnf(c_0_1959,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_1464]),c_0_99]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_848]),
[final] ).
cnf(c_0_1961,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1491,c_0_403]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( ~ product(e_4,e_4,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_803]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_803]),
[final] ).
cnf(c_0_1964,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_307,c_0_1465]),c_0_99]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_680]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1054]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_799]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_483,c_0_653]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1492,c_0_653]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_653]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_653]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_653]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1493]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1493]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1494,c_0_403]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_983]),
[final] ).
cnf(c_0_1977,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_956]),
[final] ).
cnf(c_0_1978,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_994]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_615]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1495,c_0_590]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1496,c_0_1085]),
[final] ).
cnf(c_0_1982,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1497,c_0_403]),
[final] ).
cnf(c_0_1983,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1498,c_0_403]),
[final] ).
cnf(c_0_1984,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1499,c_0_403]),
[final] ).
cnf(c_0_1985,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1500]),
[final] ).
cnf(c_0_1986,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_433,c_0_1058]),
[final] ).
cnf(c_0_1987,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_433,c_0_1060]),
[final] ).
cnf(c_0_1988,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_433,c_0_1063]),
[final] ).
cnf(c_0_1989,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_711]),
[final] ).
cnf(c_0_1990,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_433,c_0_988]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_902]),
[final] ).
cnf(c_0_1992,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_910]),
[final] ).
cnf(c_0_1993,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_843]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1496,c_0_1260]),
[final] ).
cnf(c_0_1995,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1263]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_3,e_5,e_1)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1502,c_0_1263]),
[final] ).
cnf(c_0_1997,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_5,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1503,c_0_1263]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_5,e_1)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1263]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_5,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1263]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,e_5,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1505]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_990]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1506,c_0_768]),
[final] ).
cnf(c_0_2003,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_616,c_0_1507]),
[final] ).
cnf(c_0_2004,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_607,c_0_1507]),
[final] ).
cnf(c_0_2005,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1508,c_0_1507]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1263]),
[final] ).
cnf(c_0_2007,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_715]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_759]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_527]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_926]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1089,c_0_542]),
[final] ).
cnf(c_0_2012,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1089,c_0_394]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1509,c_0_990]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_990]),
[final] ).
cnf(c_0_2015,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_990]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1510]),
[final] ).
cnf(c_0_2017,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_1,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_868]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1511]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_626,c_0_1386]),
[final] ).
cnf(c_0_2020,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1512,c_0_1386]),
[final] ).
cnf(c_0_2021,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1513,c_0_1386]),
[final] ).
cnf(c_0_2022,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_731,c_0_1386]),
[final] ).
cnf(c_0_2023,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1514,c_0_1386]),
[final] ).
cnf(c_0_2024,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_1386]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_220,c_0_1386]),
[final] ).
cnf(c_0_2026,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1314,c_0_1386]),
[final] ).
cnf(c_0_2027,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_380,c_0_1386]),
[final] ).
cnf(c_0_2028,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_786]),
[final] ).
cnf(c_0_2029,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1516,c_0_921]),
[final] ).
cnf(c_0_2030,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_5,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_921]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1386]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_1510]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1510]),
[final] ).
cnf(c_0_2034,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_868]),
[final] ).
cnf(c_0_2035,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_868]),
[final] ).
cnf(c_0_2036,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1517,c_0_826]),
[final] ).
cnf(c_0_2037,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_118,c_0_653]),
[final] ).
cnf(c_0_2038,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1518]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1518]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_822]),
[final] ).
cnf(c_0_2041,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_822]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_822]),
[final] ).
cnf(c_0_2043,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1519]),
[final] ).
cnf(c_0_2044,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1520]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1520]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1182]),
[final] ).
cnf(c_0_2047,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1521]),
[final] ).
cnf(c_0_2048,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1095]),
[final] ).
cnf(c_0_2049,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_1095]),
[final] ).
cnf(c_0_2050,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1095]),
[final] ).
cnf(c_0_2051,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1522]),
[final] ).
cnf(c_0_2052,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1184]),
[final] ).
cnf(c_0_2053,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1523]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1524]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_1493]),
[final] ).
cnf(c_0_2056,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1493]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1525]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1526]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_1001]),
[final] ).
cnf(c_0_2060,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_978]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_1527]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_968,c_0_1168]),c_0_167]),c_0_1475]),
[final] ).
cnf(c_0_2063,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1528,c_0_1168]),c_0_167]),c_0_1475]),
[final] ).
cnf(c_0_2064,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_1168]),c_0_167]),c_0_1475]),
[final] ).
cnf(c_0_2065,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_720,c_0_1168]),c_0_167]),c_0_1475]),
[final] ).
cnf(c_0_2066,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1529]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_628]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1530]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1530]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1531]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1531]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1288]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1532]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_1110]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1110]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_1111]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1111]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1533]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1534,c_0_403]),
[final] ).
cnf(c_0_2080,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_233,c_0_1072]),
[final] ).
cnf(c_0_2081,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_233,c_0_1073]),
[final] ).
cnf(c_0_2082,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_233,c_0_1074]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_1535]),c_0_165]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_688,c_0_1321]),
[final] ).
cnf(c_0_2085,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_161,c_0_660]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1536,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2087,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1537]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1537]),
[final] ).
cnf(c_0_2089,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1538]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1538]),
[final] ).
cnf(c_0_2091,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1539,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1540]),
[final] ).
cnf(c_0_2093,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1540]),
[final] ).
cnf(c_0_2094,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1530]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1531]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1541,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1542,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_782]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_640]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1122]),
[final] ).
cnf(c_0_2101,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1543,c_0_572]),
[final] ).
cnf(c_0_2102,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1544,c_0_148]),
[final] ).
cnf(c_0_2103,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_1104]),
[final] ).
cnf(c_0_2104,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_1104]),
[final] ).
cnf(c_0_2105,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_1104]),
[final] ).
cnf(c_0_2106,negated_conjecture,
( product(e_4,e_3,e_1)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_966]),
[final] ).
cnf(c_0_2107,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_1122]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1122]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1319]),
[final] ).
cnf(c_0_2110,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1545,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2111,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1546,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1547]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1548,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2114,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2115,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1550]),
[final] ).
cnf(c_0_2116,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1551]),
[final] ).
cnf(c_0_2117,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1552,c_0_590]),
[final] ).
cnf(c_0_2118,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1553]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1554,c_0_590]),
[final] ).
cnf(c_0_2120,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1555]),
[final] ).
cnf(c_0_2121,negated_conjecture,
( product(e_4,e_5,e_2)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_759]),
[final] ).
cnf(c_0_2122,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1556]),
[final] ).
cnf(c_0_2123,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1557]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1558]),
[final] ).
cnf(c_0_2125,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1559]),c_0_356]),
[final] ).
cnf(c_0_2126,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1560,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2127,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1561]),
[final] ).
cnf(c_0_2128,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1562]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_845]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1563]),
[final] ).
cnf(c_0_2131,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_1563]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1563]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_644]),
[final] ).
cnf(c_0_2134,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_748]),
[final] ).
cnf(c_0_2135,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_812]),
[final] ).
cnf(c_0_2136,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_760]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1233,c_0_806]),
[final] ).
cnf(c_0_2138,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1492,c_0_640]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_774]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_748]),
[final] ).
cnf(c_0_2141,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_812]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_764]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_760]),
[final] ).
cnf(c_0_2144,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_806]),
[final] ).
cnf(c_0_2145,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1564]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1565]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1566]),
[final] ).
cnf(c_0_2148,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1567,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2149,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1568,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1569]),c_0_51])]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1570]),
[final] ).
cnf(c_0_2152,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1571,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2153,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1572,c_0_1573]),
[final] ).
cnf(c_0_2154,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1572,c_0_746]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1574]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1575]),
[final] ).
cnf(c_0_2157,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_846]),
[final] ).
cnf(c_0_2158,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1282]),
[final] ).
cnf(c_0_2159,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_104,c_0_1282]),c_0_186]),
[final] ).
cnf(c_0_2160,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_113,c_0_1537]),
[final] ).
cnf(c_0_2161,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_113,c_0_1538]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1285]),
[final] ).
cnf(c_0_2163,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_113,c_0_1540]),
[final] ).
cnf(c_0_2164,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_863]),
[final] ).
cnf(c_0_2165,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1266]),c_0_186]),
[final] ).
cnf(c_0_2166,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_956]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_994]),
[final] ).
cnf(c_0_2168,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_762]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_1)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_762]),
[final] ).
cnf(c_0_2170,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_996]),
[final] ).
cnf(c_0_2171,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_3,e_2)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_615]),
[final] ).
cnf(c_0_2172,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_757]),
[final] ).
cnf(c_0_2173,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_208,c_0_865]),
[final] ).
cnf(c_0_2174,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1576,c_0_590]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_484]),
[final] ).
cnf(c_0_2176,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_925]),
[final] ).
cnf(c_0_2177,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_792,c_0_810]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_810]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1577]),
[final] ).
cnf(c_0_2180,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1578]),
[final] ).
cnf(c_0_2181,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1579]),
[final] ).
cnf(c_0_2182,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1580]),
[final] ).
cnf(c_0_2183,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1580]),
[final] ).
cnf(c_0_2184,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_774]),
[final] ).
cnf(c_0_2185,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_771]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1313]),
[final] ).
cnf(c_0_2187,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1581]),
[final] ).
cnf(c_0_2188,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1581]),
[final] ).
cnf(c_0_2189,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1582]),
[final] ).
cnf(c_0_2190,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1583]),
[final] ).
cnf(c_0_2191,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1584]),
[final] ).
cnf(c_0_2192,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1585,c_0_572]),
[final] ).
cnf(c_0_2193,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_1123]),
[final] ).
cnf(c_0_2194,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_1123]),
[final] ).
cnf(c_0_2195,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_1123]),
[final] ).
cnf(c_0_2196,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_934,c_0_1114]),
[final] ).
cnf(c_0_2197,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_922]),
[final] ).
cnf(c_0_2198,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1007]),
[final] ).
cnf(c_0_2199,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1129]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_864]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1586,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1587,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2203,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1120]),
[final] ).
cnf(c_0_2204,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1588]),
[final] ).
cnf(c_0_2205,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1289]),
[final] ).
cnf(c_0_2206,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_903]),
[final] ).
cnf(c_0_2207,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_689]),
[final] ).
cnf(c_0_2208,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_954]),
[final] ).
cnf(c_0_2209,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_809]),
[final] ).
cnf(c_0_2210,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_596]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1057,c_0_807]),
[final] ).
cnf(c_0_2212,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1589,c_0_1573]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1589,c_0_746]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_760]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_806]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_612]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1012]),
[final] ).
cnf(c_0_2218,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1527]),
[final] ).
cnf(c_0_2219,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1551]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1293]),
[final] ).
cnf(c_0_2221,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1109]),
[final] ).
cnf(c_0_2222,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_807]),
[final] ).
cnf(c_0_2223,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_596]),
[final] ).
cnf(c_0_2224,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_638]),
[final] ).
cnf(c_0_2225,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_678]),
[final] ).
cnf(c_0_2226,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1590,c_0_1114]),c_0_1591]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1592,c_0_1114]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_580]),
[final] ).
cnf(c_0_2229,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_410]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_4,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1593]),
[final] ).
cnf(c_0_2231,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1594]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1595,c_0_746]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_1,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_746]),
[final] ).
cnf(c_0_2234,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_1,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1573]),
[final] ).
cnf(c_0_2235,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_1557]),
[final] ).
cnf(c_0_2236,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_1557]),
[final] ).
cnf(c_0_2237,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_4,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1114]),
[final] ).
cnf(c_0_2238,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1301]),
[final] ).
cnf(c_0_2239,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_666]),
[final] ).
cnf(c_0_2240,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1596]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_487]),
[final] ).
cnf(c_0_2242,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_483,c_0_640]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1093]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_961]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1094]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_562]),
[final] ).
cnf(c_0_2247,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(X1,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_748]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1303]),
[final] ).
cnf(c_0_2249,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_829]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_1561]),
[final] ).
cnf(c_0_2251,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1221,c_0_640]),
[final] ).
cnf(c_0_2252,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(X1,e_3,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_640]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_907]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1276]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_683]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_526]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1597,c_0_935]),
[final] ).
cnf(c_0_2258,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_97,c_0_1563]),
[final] ).
cnf(c_0_2259,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1598]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1097]),
[final] ).
cnf(c_0_2261,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1102]),
[final] ).
cnf(c_0_2262,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1099]),
[final] ).
cnf(c_0_2263,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_1108]),
[final] ).
cnf(c_0_2264,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1190,c_0_608]),
[final] ).
cnf(c_0_2265,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1512,c_0_477]),
[final] ).
cnf(c_0_2266,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1512,c_0_418]),
[final] ).
cnf(c_0_2267,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1264]),c_0_1166]),
[final] ).
cnf(c_0_2268,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_795,c_0_1599]),
[final] ).
cnf(c_0_2269,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_611]),c_0_1166]),
[final] ).
cnf(c_0_2270,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1600]),
[final] ).
cnf(c_0_2271,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_758]),
[final] ).
cnf(c_0_2272,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1599]),
[final] ).
cnf(c_0_2273,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1601,c_0_590]),
[final] ).
cnf(c_0_2274,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_307,c_0_1077]),
[final] ).
cnf(c_0_2275,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_716,c_0_832]),
[final] ).
cnf(c_0_2276,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1602,c_0_832]),
[final] ).
cnf(c_0_2277,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_809]),
[final] ).
cnf(c_0_2278,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_1603]),c_0_1503]),
[final] ).
cnf(c_0_2279,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1265]),c_0_1166]),
[final] ).
cnf(c_0_2280,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1604]),
[final] ).
cnf(c_0_2281,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_459,c_0_1167]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_652,c_0_640]),
[final] ).
cnf(c_0_2283,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_801,c_0_1476]),c_0_186]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( product(e_4,e_2,e_1)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_630]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_630]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_3,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_507]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1605]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_550]),
[final] ).
cnf(c_0_2289,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_125,c_0_925]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1606]),
[final] ).
cnf(c_0_2291,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_165,c_0_810]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1607,c_0_403]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1578]),
[final] ).
cnf(c_0_2294,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1579]),
[final] ).
cnf(c_0_2295,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_1579]),c_0_587]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_774]),
[final] ).
cnf(c_0_2297,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_1606]),
[final] ).
cnf(c_0_2298,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_1606]),
[final] ).
cnf(c_0_2299,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_1606]),
[final] ).
cnf(c_0_2300,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_97,c_0_764]),
[final] ).
cnf(c_0_2301,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_771]),
[final] ).
cnf(c_0_2302,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1008]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1313]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_1313]),c_0_587]),
[final] ).
cnf(c_0_2305,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1581]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(X1,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_932]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( product(e_4,e_3,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1315,c_0_1608]),c_0_859]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_922]),
[final] ).
cnf(c_0_2309,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_307,c_0_1129]),c_0_233]),
[final] ).
cnf(c_0_2310,negated_conjecture,
( product(e_2,e_5,e_1)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_896]),
[final] ).
cnf(c_0_2311,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_923]),
[final] ).
cnf(c_0_2312,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_208,c_0_1317]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_864]),
[final] ).
cnf(c_0_2314,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_864]),c_0_587]),
[final] ).
cnf(c_0_2315,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_934,c_0_1356]),
[final] ).
cnf(c_0_2316,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1609]),
[final] ).
cnf(c_0_2317,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_65,c_0_1588]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_531]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_954]),c_0_1610]),
[final] ).
cnf(c_0_2320,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_97,c_0_735]),
[final] ).
cnf(c_0_2321,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1611,c_0_403]),
[final] ).
cnf(c_0_2322,negated_conjecture,
( product(e_5,e_2,e_3)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_787]),
[final] ).
cnf(c_0_2323,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1612,c_0_748]),c_0_100]),
[final] ).
cnf(c_0_2324,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_1612,c_0_1093]),c_0_100]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1612,c_0_1094]),c_0_100]),
[final] ).
cnf(c_0_2326,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_896]),
[final] ).
cnf(c_0_2327,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_896]),
[final] ).
cnf(c_0_2328,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_923]),
[final] ).
cnf(c_0_2329,negated_conjecture,
( product(e_5,e_2,e_1)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_510]),
[final] ).
cnf(c_0_2330,negated_conjecture,
( product(e_5,e_3,e_1)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_554]),
[final] ).
cnf(c_0_2331,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1088]),
[final] ).
cnf(c_0_2332,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_1613]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1331]),
[final] ).
cnf(c_0_2334,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1012]),
[final] ).
cnf(c_0_2335,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_661,c_0_1614]),c_0_107]),
[final] ).
cnf(c_0_2336,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1615,c_0_403]),
[final] ).
cnf(c_0_2337,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_97,c_0_1108]),
[final] ).
cnf(c_0_2338,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_256,c_0_1293]),
[final] ).
cnf(c_0_2339,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_307,c_0_1293]),c_0_233]),
[final] ).
cnf(c_0_2340,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1616,c_0_403]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_707,c_0_926]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1617]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_516]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_571]),
[final] ).
cnf(c_0_2345,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_433,c_0_1618]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_1617]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_516]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_516]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_745]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1619]),
[final] ).
cnf(c_0_2351,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_125,c_0_571]),
[final] ).
cnf(c_0_2352,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1619]),
[final] ).
cnf(c_0_2353,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1619]),
[final] ).
cnf(c_0_2354,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_510]),
[final] ).
cnf(c_0_2355,negated_conjecture,
( product(X1,e_5,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_694]),
[final] ).
cnf(c_0_2356,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1620]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1331]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( product(e_3,e_5,e_4)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1621]),
[final] ).
cnf(c_0_2359,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_50,c_0_1476]),
[final] ).
cnf(c_0_2360,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_84,c_0_928]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_929]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1622,c_0_403]),
[final] ).
cnf(c_0_2363,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_1623]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_730]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1013,c_0_495]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_1624]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1132]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1620]),
[final] ).
cnf(c_0_2369,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_1625,c_0_1033]),c_0_100]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1626,c_0_1033]),c_0_100]),
[final] ).
cnf(c_0_2371,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1015]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1593]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1112]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_1621]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1621]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1621]),
[final] ).
cnf(c_0_2377,negated_conjecture,
( product(X1,e_1,e_5)
| ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1627,c_0_1036]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_911]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_911]),
[final] ).
cnf(c_0_2380,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_97,c_0_844]),
[final] ).
cnf(c_0_2381,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_256,c_0_1301]),
[final] ).
cnf(c_0_2382,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_1628,c_0_403]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1629]),
[final] ).
cnf(c_0_2384,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_195,c_0_666]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1330,c_0_1334]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1330,c_0_768]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_768]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1630,c_0_768]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_534,c_0_768]),
[final] ).
cnf(c_0_2390,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_730]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_730]),
[final] ).
cnf(c_0_2392,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_730]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1321]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_1168]),c_0_488]),
[final] ).
cnf(c_0_2395,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1334]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_1334]),
[final] ).
cnf(c_0_2397,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1630,c_0_1334]),
[final] ).
cnf(c_0_2398,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_830,c_0_1334]),
[final] ).
cnf(c_0_2399,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_1631,c_0_640]),c_0_226]),
[final] ).
cnf(c_0_2400,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1590,c_0_743]),
[final] ).
cnf(c_0_2401,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1590,c_0_1356]),
[final] ).
cnf(c_0_2402,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1592,c_0_743]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1592,c_0_1356]),
[final] ).
cnf(c_0_2404,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_467,c_0_1033]),
[final] ).
cnf(c_0_2405,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1632,c_0_1033]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1633,c_0_1033]),
[final] ).
cnf(c_0_2407,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_816]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_165,c_0_622]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1634,c_0_1341]),
[final] ).
cnf(c_0_2410,negated_conjecture,
( product(e_3,e_1,e_2)
| product(X1,e_4,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1341]),
[final] ).
cnf(c_0_2411,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_1635]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_714,c_0_926]),
[final] ).
cnf(c_0_2413,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_97,c_0_608]),
[final] ).
cnf(c_0_2414,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1636]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_165,c_0_1636]),
[final] ).
cnf(c_0_2416,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1339,c_0_403]),
[final] ).
cnf(c_0_2417,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_640]),
[final] ).
cnf(c_0_2418,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1637]),
[final] ).
cnf(c_0_2419,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_570]),
[final] ).
cnf(c_0_2420,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_861]),
[final] ).
cnf(c_0_2421,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_307,c_0_474]),
[final] ).
cnf(c_0_2422,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_474]),
[final] ).
cnf(c_0_2423,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1638]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_1638]),
[final] ).
cnf(c_0_2425,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_1341]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_583]),
[final] ).
cnf(c_0_2427,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_456]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_665]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_448]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_815]),
[final] ).
cnf(c_0_2431,negated_conjecture,
( product(e_3,e_4,e_5)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_926]),
[final] ).
cnf(c_0_2432,negated_conjecture,
( product(e_3,e_4,e_5)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1639]),
[final] ).
cnf(c_0_2433,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1640]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1640]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_97,c_0_1134]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1134]),
[final] ).
cnf(c_0_2437,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_488]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_873,c_0_572]),
[final] ).
cnf(c_0_2439,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_533]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1641]),
[final] ).
cnf(c_0_2441,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_3,e_5)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1642]),
[final] ).
cnf(c_0_2442,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1643]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_165,c_0_1643]),
[final] ).
cnf(c_0_2444,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_1644]),c_0_1006]),
[final] ).
cnf(c_0_2445,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_706]),
[final] ).
cnf(c_0_2446,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_706]),
[final] ).
cnf(c_0_2447,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1597,c_0_1136]),
[final] ).
cnf(c_0_2448,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1387,c_0_1645]),
[final] ).
cnf(c_0_2449,negated_conjecture,
( product(e_4,e_3,e_2)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1645]),
[final] ).
cnf(c_0_2450,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_641]),
[final] ).
cnf(c_0_2451,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1614]),
[final] ).
cnf(c_0_2452,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1646,c_0_1614]),
[final] ).
cnf(c_0_2453,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_445]),
[final] ).
cnf(c_0_2454,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_445]),
[final] ).
cnf(c_0_2455,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_448]),
[final] ).
cnf(c_0_2456,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_448]),
[final] ).
cnf(c_0_2457,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_448]),
[final] ).
cnf(c_0_2458,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1647]),
[final] ).
cnf(c_0_2459,negated_conjecture,
( product(e_4,e_2,e_3)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_438]),
[final] ).
cnf(c_0_2460,negated_conjecture,
( product(e_3,e_4,e_5)
| product(X1,e_1,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_872]),
[final] ).
cnf(c_0_2461,negated_conjecture,
( product(e_3,e_4,e_1)
| product(X1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1644]),
[final] ).
cnf(c_0_2462,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1648,c_0_1640]),
[final] ).
cnf(c_0_2463,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1640]),
[final] ).
cnf(c_0_2464,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_1649,c_0_403]),
[final] ).
cnf(c_0_2465,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1650,c_0_403]),
[final] ).
cnf(c_0_2466,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_441]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1651,c_0_1139]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_1,e_5)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1652]),
[final] ).
cnf(c_0_2469,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1653]),
[final] ).
cnf(c_0_2470,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_3,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1654]),
[final] ).
cnf(c_0_2471,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_2,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1133]),
[final] ).
cnf(c_0_2472,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_1,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1354]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_1,e_2)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1139]),
[final] ).
cnf(c_0_2474,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_2,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1655,c_0_1136]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1656,c_0_1136]),
[final] ).
cnf(c_0_2476,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1641]),
[final] ).
cnf(c_0_2477,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_4,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1136]),
[final] ).
cnf(c_0_2478,plain,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_1642]),
[final] ).
cnf(c_0_2479,negated_conjecture,
( product(e_2,e_4,e_5)
| product(X1,e_5,e_3)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_390]),
[final] ).
cnf(c_0_2480,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_214,c_0_715]),
[final] ).
cnf(c_0_2481,negated_conjecture,
( product(e_2,e_3,e_5)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_658,c_0_754]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_226,c_0_685]),
[final] ).
cnf(c_0_2483,negated_conjecture,
( product(e_2,e_3,e_5)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_637,c_0_754]),
[final] ).
cnf(c_0_2484,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_542]),
[final] ).
cnf(c_0_2485,negated_conjecture,
( product(e_3,e_5,e_1)
| product(X1,e_4,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_717]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_1597,c_0_1356]),
[final] ).
cnf(c_0_2487,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_568]),
[final] ).
cnf(c_0_2488,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_434]),
[final] ).
cnf(c_0_2489,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_1657,c_0_1356]),
[final] ).
cnf(c_0_2490,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_568]),
[final] ).
cnf(c_0_2491,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_233,c_0_568]),
[final] ).
cnf(c_0_2492,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_443]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_5)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_728,c_0_403]),
[final] ).
cnf(c_0_2494,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_938]),
[final] ).
cnf(c_0_2495,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1127]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1658]),
[final] ).
cnf(c_0_2497,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1006]),
[final] ).
cnf(c_0_2498,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_226,c_0_564]),
[final] ).
cnf(c_0_2499,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1658]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_226,c_0_1658]),
[final] ).
cnf(c_0_2501,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_226,c_0_606]),
[final] ).
cnf(c_0_2502,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_1659]),c_0_195]),
[final] ).
cnf(c_0_2503,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_606]),
[final] ).
cnf(c_0_2504,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_834]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_834]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_1644]),
[final] ).
cnf(c_0_2507,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_519]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_4,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_397]),
[final] ).
cnf(c_0_2509,negated_conjecture,
( product(e_1,e_2,e_4)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_378]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_420]),
[final] ).
cnf(c_0_2511,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_429]),
[final] ).
cnf(c_0_2512,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1656,c_0_1356]),
[final] ).
cnf(c_0_2513,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1655,c_0_743]),
[final] ).
cnf(c_0_2514,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1655,c_0_1356]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,e_3,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1115,c_0_743]),
[final] ).
cnf(c_0_2516,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_1115,c_0_1356]),
[final] ).
cnf(c_0_2517,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_658,c_0_405]),
[final] ).
cnf(c_0_2518,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_5)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_658,c_0_403]),
[final] ).
cnf(c_0_2519,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1660,c_0_1353]),
[final] ).
cnf(c_0_2520,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1652]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1652]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_1653]),
[final] ).
cnf(c_0_2523,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_1653]),
[final] ).
cnf(c_0_2524,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_150,c_0_1653]),
[final] ).
cnf(c_0_2525,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_1653]),
[final] ).
cnf(c_0_2526,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_1653]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_1654]),
[final] ).
cnf(c_0_2528,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_1654]),
[final] ).
cnf(c_0_2529,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_1354]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1661,c_0_1139]),c_0_359]),c_0_360]),
[final] ).
cnf(c_0_2531,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_1345]),
[final] ).
cnf(c_0_2532,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_1345]),
[final] ).
cnf(c_0_2533,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_1345]),
[final] ).
cnf(c_0_2534,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1345]),
[final] ).
cnf(c_0_2535,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1662,c_0_390]),c_0_413]),
[final] ).
cnf(c_0_2536,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_637,c_0_941]),
[final] ).
cnf(c_0_2537,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_637,c_0_405]),
[final] ).
cnf(c_0_2538,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_637,c_0_636]),
[final] ).
cnf(c_0_2539,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_4,e_5)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_637,c_0_403]),
[final] ).
cnf(c_0_2540,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_460]),
[final] ).
cnf(c_0_2541,plain,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_674,c_0_542]),
[final] ).
cnf(c_0_2542,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_674,c_0_717]),
[final] ).
cnf(c_0_2543,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_649]),
[final] ).
cnf(c_0_2544,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_649]),
[final] ).
cnf(c_0_2545,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_649]),
[final] ).
cnf(c_0_2546,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_429]),
[final] ).
cnf(c_0_2547,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1168]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_424]),
[final] ).
cnf(c_0_2549,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_3,e_3,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1353]),
[final] ).
cnf(c_0_2550,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_411]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1143]),
[final] ).
cnf(c_0_2552,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_433,c_0_875]),
[final] ).
cnf(c_0_2553,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_60,c_0_691]),
[final] ).
cnf(c_0_2554,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_214,c_0_1336]),
[final] ).
cnf(c_0_2555,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1336]),
[final] ).
cnf(c_0_2556,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1121,c_0_1663]),c_0_1664]),
[final] ).
cnf(c_0_2557,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_4,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1665]),
[final] ).
cnf(c_0_2558,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_4,e_3)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1663]),
[final] ).
cnf(c_0_2559,negated_conjecture,
( product(e_1,e_4,e_2)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_342]),
[final] ).
cnf(c_0_2560,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_625]),
[final] ).
cnf(c_0_2561,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_625]),
[final] ).
cnf(c_0_2562,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1666,c_0_572]),
[final] ).
cnf(c_0_2563,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_572]),
[final] ).
cnf(c_0_2564,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_572]),
[final] ).
cnf(c_0_2565,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_713,c_0_1663]),
[final] ).
cnf(c_0_2566,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_464,c_0_1663]),
[final] ).
cnf(c_0_2567,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_1663]),
[final] ).
cnf(c_0_2568,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1663]),
[final] ).
cnf(c_0_2569,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_430,c_0_1667]),
[final] ).
cnf(c_0_2570,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1668,c_0_1667]),
[final] ).
cnf(c_0_2571,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1667]),
[final] ).
cnf(c_0_2572,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_1667]),
[final] ).
cnf(c_0_2573,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_1667]),
[final] ).
cnf(c_0_2574,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1667]),
[final] ).
cnf(c_0_2575,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_1669]),
[final] ).
cnf(c_0_2576,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_1670]),c_0_186]),
[final] ).
cnf(c_0_2577,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_1671]),c_0_89]),
[final] ).
cnf(c_0_2578,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1671]),
[final] ).
cnf(c_0_2579,plain,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_1671]),
[final] ).
cnf(c_0_2580,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1671]),
[final] ).
cnf(c_0_2581,plain,
( ~ product(e_3,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1671]),
[final] ).
cnf(c_0_2582,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_1670]),c_0_206]),
[final] ).
cnf(c_0_2583,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_507]),
[final] ).
cnf(c_0_2584,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_507]),
[final] ).
cnf(c_0_2585,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_1670]),c_0_366]),
[final] ).
cnf(c_0_2586,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_1670]),c_0_345]),
[final] ).
cnf(c_0_2587,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1605]),
[final] ).
cnf(c_0_2588,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_1327]),
[final] ).
cnf(c_0_2589,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_84,c_0_712]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_681]),
[final] ).
cnf(c_0_2591,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1170]),
[final] ).
cnf(c_0_2592,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_256,c_0_1170]),
[final] ).
cnf(c_0_2593,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_307,c_0_1170]),
[final] ).
cnf(c_0_2594,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_125,c_0_1170]),
[final] ).
cnf(c_0_2595,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_433,c_0_1170]),
[final] ).
cnf(c_0_2596,negated_conjecture,
( product(e_2,e_4,e_1)
| product(X1,e_5,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_530]),
[final] ).
cnf(c_0_2597,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1036]),
[final] ).
cnf(c_0_2598,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_530]),
[final] ).
cnf(c_0_2599,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1672,c_0_509]),
[final] ).
cnf(c_0_2600,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_509]),
[final] ).
cnf(c_0_2601,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_1008]),
[final] ).
cnf(c_0_2602,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_1008]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_932]),
[final] ).
cnf(c_0_2604,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_879]),
[final] ).
cnf(c_0_2605,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_84,c_0_833]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_788]),
[final] ).
cnf(c_0_2607,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_754]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_557]),
[final] ).
cnf(c_0_2609,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1673,c_0_350]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_245,c_0_941]),
[final] ).
cnf(c_0_2611,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_3,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1674]),
[final] ).
cnf(c_0_2612,negated_conjecture,
( ~ product(e_4,e_3,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_150,c_0_858]),
[final] ).
cnf(c_0_2613,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_113,c_0_858]),
[final] ).
cnf(c_0_2614,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_249,c_0_858]),
[final] ).
cnf(c_0_2615,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_1675]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_775]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_310]),
[final] ).
cnf(c_0_2618,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_310]),
[final] ).
cnf(c_0_2619,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_654,c_0_403]),
[final] ).
cnf(c_0_2620,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_632]),
[final] ).
cnf(c_0_2621,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_632]),
[final] ).
cnf(c_0_2622,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_1350]),
[final] ).
cnf(c_0_2623,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(X1,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_781]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1676]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_1676]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_682]),
[final] ).
cnf(c_0_2627,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_682]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(X1,e_2,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1370]),
[final] ).
cnf(c_0_2629,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_1364]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_1677]),
[final] ).
cnf(c_0_2631,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_1677]),c_0_107]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1677]),c_0_65]),
[final] ).
cnf(c_0_2633,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(X1,e_4,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_935]),
[final] ).
cnf(c_0_2634,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_620]),c_0_226]),
[final] ).
cnf(c_0_2635,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_1362]),
[final] ).
cnf(c_0_2636,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_256,c_0_496]),
[final] ).
cnf(c_0_2637,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_831,c_0_739]),c_0_186]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_5,e_1)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_502]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_502]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_490]),
[final] ).
cnf(c_0_2641,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_1678]),c_0_208]),c_0_1361]),c_0_186]),
[final] ).
cnf(c_0_2642,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_2,e_4)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_395]),
[final] ).
cnf(c_0_2643,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_4,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1679]),
[final] ).
cnf(c_0_2644,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_1679]),
[final] ).
cnf(c_0_2645,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1025,c_0_941]),c_0_230]),
[final] ).
cnf(c_0_2646,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_941]),
[final] ).
cnf(c_0_2647,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_635,c_0_941]),
[final] ).
cnf(c_0_2648,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_946,c_0_941]),
[final] ).
cnf(c_0_2649,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_113,c_0_941]),
[final] ).
cnf(c_0_2650,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_498]),
[final] ).
cnf(c_0_2651,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_1674]),
[final] ).
cnf(c_0_2652,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1674]),
[final] ).
cnf(c_0_2653,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_1674]),
[final] ).
cnf(c_0_2654,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_1674]),
[final] ).
cnf(c_0_2655,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_245,c_0_636]),
[final] ).
cnf(c_0_2656,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_366,c_0_1017]),
[final] ).
cnf(c_0_2657,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1017]),
[final] ).
cnf(c_0_2658,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_1017]),
[final] ).
cnf(c_0_2659,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_1017]),
[final] ).
cnf(c_0_2660,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1680,c_0_1681]),c_0_1682]),
[final] ).
cnf(c_0_2661,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1683,c_0_1681]),c_0_1684]),
[final] ).
cnf(c_0_2662,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_1685]),
[final] ).
cnf(c_0_2663,plain,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_1678]),c_0_1358]),c_0_208]),c_0_366]),
[final] ).
cnf(c_0_2664,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_781]),
[final] ).
cnf(c_0_2665,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_781]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_656]),
[final] ).
cnf(c_0_2667,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_634]),
[final] ).
cnf(c_0_2668,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_494]),
[final] ).
cnf(c_0_2669,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_634]),
[final] ).
cnf(c_0_2670,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_84,c_0_667]),
[final] ).
cnf(c_0_2671,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_494]),
[final] ).
cnf(c_0_2672,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_485]),
[final] ).
cnf(c_0_2673,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_485]),c_0_161]),
[final] ).
cnf(c_0_2674,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1686]),
[final] ).
cnf(c_0_2675,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_1686]),
[final] ).
cnf(c_0_2676,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_1686]),
[final] ).
cnf(c_0_2677,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1687,c_0_331]),
[final] ).
cnf(c_0_2678,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1687,c_0_248]),c_0_1664]),
[final] ).
cnf(c_0_2679,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_330]),
[final] ).
cnf(c_0_2680,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_1370]),
[final] ).
cnf(c_0_2681,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_388]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_3,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_347]),
[final] ).
cnf(c_0_2683,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_388]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_388]),
[final] ).
cnf(c_0_2685,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_388]),
[final] ).
cnf(c_0_2686,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_388]),
[final] ).
cnf(c_0_2687,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_347]),
[final] ).
cnf(c_0_2688,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_347]),
[final] ).
cnf(c_0_2689,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_333]),
[final] ).
cnf(c_0_2690,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_333]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1688,c_0_1689]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_603]),c_0_230]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_603]),c_0_165]),
[final] ).
cnf(c_0_2694,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_529,c_0_636]),c_0_195]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_743]),
[final] ).
cnf(c_0_2696,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_620]),
[final] ).
cnf(c_0_2697,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1356]),
[final] ).
cnf(c_0_2698,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_814,c_0_1153]),c_0_226]),
[final] ).
cnf(c_0_2699,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_84,c_0_479]),
[final] ).
cnf(c_0_2700,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_230,c_0_620]),
[final] ).
cnf(c_0_2701,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_249,c_0_739]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_230,c_0_739]),
[final] ).
cnf(c_0_2703,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_421]),
[final] ).
cnf(c_0_2704,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_560]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_2,e_2,e_1)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1690]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( product(e_3,e_2,e_5)
| product(X1,e_1,e_3)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_308]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_1690]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_1690]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_1690]),
[final] ).
cnf(c_0_2710,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_1690]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_165,c_0_1690]),
[final] ).
cnf(c_0_2712,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_1147,c_0_201]),
[final] ).
cnf(c_0_2713,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_636]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_308]),
[final] ).
cnf(c_0_2715,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_308]),
[final] ).
cnf(c_0_2716,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_113,c_0_403]),
[final] ).
cnf(c_0_2717,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_331]),c_0_161]),
[final] ).
cnf(c_0_2718,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_331]),c_0_161]),
[final] ).
cnf(c_0_2719,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_248]),c_0_249]),
[final] ).
cnf(c_0_2720,negated_conjecture,
( product(X1,e_3,e_5)
| ~ product(e_2,e_2,e_1)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1681]),
[final] ).
cnf(c_0_2721,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_1681]),
[final] ).
cnf(c_0_2722,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_206,c_0_1681]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_165,c_0_1681]),
[final] ).
cnf(c_0_2724,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_226,c_0_742]),
[final] ).
cnf(c_0_2725,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_742]),
[final] ).
cnf(c_0_2726,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_273]),
[final] ).
cnf(c_0_2727,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_251]),c_0_65]),
[final] ).
cnf(c_0_2728,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_97,c_0_1691]),
[final] ).
cnf(c_0_2729,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_1692]),c_0_84]),
[final] ).
cnf(c_0_2730,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_1092]),
[final] ).
cnf(c_0_2731,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1092]),
[final] ).
cnf(c_0_2732,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_1092]),
[final] ).
cnf(c_0_2733,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1693,c_0_1692]),
[final] ).
cnf(c_0_2734,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_1694]),c_0_472]),c_0_1695]),
[final] ).
cnf(c_0_2735,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_361,c_0_1694]),
[final] ).
cnf(c_0_2736,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_1151]),
[final] ).
cnf(c_0_2737,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_1151]),
[final] ).
cnf(c_0_2738,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1696]),c_0_99]),
[final] ).
cnf(c_0_2739,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_1027]),c_0_99]),
[final] ).
cnf(c_0_2740,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1697]),c_0_125]),
[final] ).
cnf(c_0_2741,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1698,c_0_1369]),
[final] ).
cnf(c_0_2742,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_940]),c_0_186]),
[final] ).
cnf(c_0_2743,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_940]),c_0_206]),
[final] ).
cnf(c_0_2744,plain,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_940]),c_0_366]),
[final] ).
cnf(c_0_2745,plain,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_940]),c_0_345]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1371]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1699]),
[final] ).
cnf(c_0_2748,negated_conjecture,
( ~ product(e_4,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_1371]),
[final] ).
cnf(c_0_2749,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_1371]),
[final] ).
cnf(c_0_2750,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_1371]),
[final] ).
cnf(c_0_2751,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1028]),
[final] ).
cnf(c_0_2752,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_1028]),
[final] ).
cnf(c_0_2753,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_1028]),
[final] ).
cnf(c_0_2754,negated_conjecture,
( ~ product(e_5,e_2,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_1028]),
[final] ).
cnf(c_0_2755,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_1028]),
[final] ).
cnf(c_0_2756,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_1700]),c_0_104]),
[final] ).
cnf(c_0_2757,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1694]),
[final] ).
cnf(c_0_2758,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_256,c_0_1694]),
[final] ).
cnf(c_0_2759,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_307,c_0_1694]),
[final] ).
cnf(c_0_2760,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_1694]),
[final] ).
cnf(c_0_2761,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_1694]),
[final] ).
cnf(c_0_2762,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_1373]),c_0_99]),
[final] ).
cnf(c_0_2763,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1024]),c_0_195]),
[final] ).
cnf(c_0_2764,negated_conjecture,
( product(e_3,e_2,e_4)
| product(X1,e_5,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_246]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_161,c_0_237]),
[final] ).
cnf(c_0_2766,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_237]),
[final] ).
cnf(c_0_2767,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_224]),
[final] ).
cnf(c_0_2768,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_455,c_0_1692]),
[final] ).
cnf(c_0_2769,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_508,c_0_1692]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1369]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_350]),c_0_218]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_332]),c_0_218]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_326]),c_0_218]),
[final] ).
cnf(c_0_2774,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_350]),c_0_218]),
[final] ).
cnf(c_0_2775,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_2,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_332]),c_0_218]),
[final] ).
cnf(c_0_2776,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1702]),
[final] ).
cnf(c_0_2777,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_455,c_0_1689]),
[final] ).
cnf(c_0_2778,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_508,c_0_1689]),
[final] ).
cnf(c_0_2779,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1703,c_0_1689]),
[final] ).
cnf(c_0_2780,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1704,c_0_1689]),
[final] ).
cnf(c_0_2781,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1705]),
[final] ).
cnf(c_0_2782,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_3,e_1)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1692]),
[final] ).
cnf(c_0_2783,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_100,c_0_1692]),
[final] ).
cnf(c_0_2784,negated_conjecture,
( ~ product(e_4,e_2,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_226,c_0_1692]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_125,c_0_1692]),
[final] ).
cnf(c_0_2786,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_433,c_0_1692]),
[final] ).
cnf(c_0_2787,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_888]),
[final] ).
cnf(c_0_2788,negated_conjecture,
( product(X1,e_5,e_3)
| ~ product(e_3,e_2,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_232]),
[final] ).
cnf(c_0_2789,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_710]),c_0_230]),
[final] ).
cnf(c_0_2790,negated_conjecture,
( product(e_4,e_2,e_1)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_710]),c_0_165]),
[final] ).
cnf(c_0_2791,negated_conjecture,
( ~ product(e_3,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_888]),
[final] ).
cnf(c_0_2792,negated_conjecture,
( ~ product(e_3,e_3,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_232]),
[final] ).
cnf(c_0_2793,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_230,c_0_232]),
[final] ).
cnf(c_0_2794,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_1011]),
[final] ).
cnf(c_0_2795,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_837]),
[final] ).
cnf(c_0_2796,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_225]),c_0_99]),
[final] ).
cnf(c_0_2797,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_1706]),c_0_125]),
[final] ).
cnf(c_0_2798,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_1377]),
[final] ).
cnf(c_0_2799,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_1378]),c_0_84]),
[final] ).
cnf(c_0_2800,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_943]),c_0_208]),
[final] ).
cnf(c_0_2801,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_402]),c_0_230]),
[final] ).
cnf(c_0_2802,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_402]),c_0_165]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_220,c_0_331]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_380,c_0_331]),
[final] ).
cnf(c_0_2805,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_5,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_331]),
[final] ).
cnf(c_0_2806,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_331]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_332]),c_0_218]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_418]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_418]),
[final] ).
cnf(c_0_2810,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_229]),
[final] ).
cnf(c_0_2811,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_60,c_0_229]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_755]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_344]),
[final] ).
cnf(c_0_2814,plain,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_312]),
[final] ).
cnf(c_0_2815,plain,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_312]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_99,c_0_1689]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_100,c_0_1689]),
[final] ).
cnf(c_0_2818,negated_conjecture,
( ~ product(e_4,e_2,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_226,c_0_1689]),
[final] ).
cnf(c_0_2819,negated_conjecture,
( product(X1,e_3,e_3)
| ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_197]),
[final] ).
cnf(c_0_2820,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_3,e_4,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1689]),
[final] ).
cnf(c_0_2821,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_125,c_0_1689]),
[final] ).
cnf(c_0_2822,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1689]),
[final] ).
cnf(c_0_2823,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_4,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_248]),
[final] ).
cnf(c_0_2824,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_248]),
[final] ).
cnf(c_0_2825,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_60,c_0_248]),
[final] ).
cnf(c_0_2826,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_248]),
[final] ).
cnf(c_0_2827,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_5,e_1)
| ~ product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_593]),
[final] ).
cnf(c_0_2828,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_605]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_593]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_208,c_0_593]),
[final] ).
cnf(c_0_2831,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_1707]),c_0_1708]),
[final] ).
cnf(c_0_2832,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_4,e_5)
| ~ product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1707]),
[final] ).
cnf(c_0_2833,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_1707]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_1707]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_1707]),
[final] ).
cnf(c_0_2836,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_1707]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_1163]),
[final] ).
cnf(c_0_2838,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_206,c_0_839]),
[final] ).
cnf(c_0_2839,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_226,c_0_839]),
[final] ).
cnf(c_0_2840,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_539]),
[final] ).
cnf(c_0_2841,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_5,e_3)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_523]),
[final] ).
cnf(c_0_2842,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1709]),
[final] ).
cnf(c_0_2843,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_399]),
[final] ).
cnf(c_0_2844,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_3,e_1)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_354]),
[final] ).
cnf(c_0_2845,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_1,e_5)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_339]),
[final] ).
cnf(c_0_2846,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_354]),
[final] ).
cnf(c_0_2847,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_208,c_0_339]),
[final] ).
cnf(c_0_2848,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_339]),
[final] ).
cnf(c_0_2849,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_339]),
[final] ).
cnf(c_0_2850,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_433,c_0_339]),
[final] ).
cnf(c_0_2851,plain,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_385]),
[final] ).
cnf(c_0_2852,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_709]),
[final] ).
cnf(c_0_2853,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1338]),
[final] ).
cnf(c_0_2854,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1710]),
[final] ).
cnf(c_0_2855,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_1,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_576]),
[final] ).
cnf(c_0_2856,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_1710]),
[final] ).
cnf(c_0_2857,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_292]),
[final] ).
cnf(c_0_2858,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_292]),
[final] ).
cnf(c_0_2859,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_292]),
[final] ).
cnf(c_0_2860,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_113,c_0_292]),
[final] ).
cnf(c_0_2861,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_249,c_0_292]),
[final] ).
cnf(c_0_2862,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_547]),
[final] ).
cnf(c_0_2863,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_547]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_307,c_0_547]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_1711]),c_0_233]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_366,c_0_453]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_453]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_3,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_453]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_221]),c_0_230]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_201]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_2,e_2,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_263]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( product(e_2,e_5,e_4)
| product(X1,e_2,e_4)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_191]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_206,c_0_201]),
[final] ).
cnf(c_0_2874,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_230,c_0_201]),
[final] ).
cnf(c_0_2875,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_230,c_0_263]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_233,c_0_196]),
[final] ).
cnf(c_0_2877,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_208,c_0_191]),
[final] ).
cnf(c_0_2878,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_290]),
[final] ).
cnf(c_0_2879,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_290]),
[final] ).
cnf(c_0_2880,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_290]),
[final] ).
cnf(c_0_2881,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_151]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_195,c_0_151]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_118,c_0_151]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1666,c_0_132]),c_0_161]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_130]),c_0_186]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_130]),c_0_206]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_366,c_0_132]),
[final] ).
cnf(c_0_2888,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_132]),
[final] ).
cnf(c_0_2889,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_147,c_0_350]),
[final] ).
cnf(c_0_2890,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_147,c_0_332]),
[final] ).
cnf(c_0_2891,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_452]),
[final] ).
cnf(c_0_2892,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_452]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_452]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_452]),
[final] ).
cnf(c_0_2895,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_322]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_322]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_322]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_322]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_3,e_5,e_3)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_322]),
[final] ).
cnf(c_0_2900,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_3,e_3)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_350]),
[final] ).
cnf(c_0_2901,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_332]),
[final] ).
cnf(c_0_2902,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_175]),
[final] ).
cnf(c_0_2903,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_175]),
[final] ).
cnf(c_0_2904,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_350]),
[final] ).
cnf(c_0_2905,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_350]),
[final] ).
cnf(c_0_2906,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_350]),
[final] ).
cnf(c_0_2907,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_332]),
[final] ).
cnf(c_0_2908,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_332]),
[final] ).
cnf(c_0_2909,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_332]),
[final] ).
cnf(c_0_2910,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_145]),
[final] ).
cnf(c_0_2911,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_118,c_0_145]),
[final] ).
cnf(c_0_2912,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_161,c_0_145]),
[final] ).
cnf(c_0_2913,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_80,c_0_132]),
[final] ).
cnf(c_0_2914,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_186,c_0_130]),
[final] ).
cnf(c_0_2915,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_206,c_0_130]),
[final] ).
cnf(c_0_2916,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_80,c_0_164]),
[final] ).
cnf(c_0_2917,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_140]),c_0_84]),
[final] ).
cnf(c_0_2918,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_110]),
[final] ).
cnf(c_0_2919,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_110]),
[final] ).
cnf(c_0_2920,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_150,c_0_110]),
[final] ).
cnf(c_0_2921,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_311]),
[final] ).
cnf(c_0_2922,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_266]),
[final] ).
cnf(c_0_2923,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_244]),
[final] ).
cnf(c_0_2924,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_673]),
[final] ).
cnf(c_0_2925,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_66]),
[final] ).
cnf(c_0_2926,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_99,c_0_406]),
[final] ).
cnf(c_0_2927,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_158]),
[final] ).
cnf(c_0_2928,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_158]),
[final] ).
cnf(c_0_2929,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_206,c_0_187]),
[final] ).
cnf(c_0_2930,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_128]),
[final] ).
cnf(c_0_2931,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_160]),
[final] ).
cnf(c_0_2932,negated_conjecture,
( product(X1,e_2,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_1226]),
[final] ).
cnf(c_0_2933,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_1712]),
[final] ).
cnf(c_0_2934,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_1713]),
[final] ).
cnf(c_0_2935,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_1714]),
[final] ).
cnf(c_0_2936,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_1715]),
[final] ).
cnf(c_0_2937,negated_conjecture,
( product(X1,X2,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_51]),
[final] ).
cnf(c_0_2938,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_1417]),c_0_186]),c_0_206]),
[final] ).
cnf(c_0_2939,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_310]),c_0_100]),
[final] ).
cnf(c_0_2940,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1686]),c_0_1716]),
[final] ).
cnf(c_0_2941,plain,
~ product(e_5,e_5,e_3),
inference(spm,[status(thm)],[c_0_249,c_0_51]),
[final] ).
cnf(c_0_2942,plain,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_230,c_0_51]),
[final] ).
cnf(c_0_2943,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_2944,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_2945,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_2946,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_2947,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_2948,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_2949,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_2950,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_2951,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_2952,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_2953,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP126-2.005 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:23:23 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 6.46/4.39 % Version : CSE_E---1.7
% 6.46/4.39 % Problem : theBenchmark.p
% 6.46/4.39 % SZS status Satisfiable for theBenchmark.p
% 6.46/4.39 % SZS output start Saturation
% See solution above
% 6.56/4.41 % Total time : 3.373s
%------------------------------------------------------------------------------