%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP129-2.005 : 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 : n024.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 04:24:17 PM UTC 2026
% Result : Satisfiable 13.08s 7.79s
% Output : Saturation 13.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_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_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_greater_e_2) ).
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(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_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(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(qg3,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
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_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
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_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
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(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_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
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_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
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_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(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(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(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_45,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_46,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_47,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_48,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_49,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_50,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_51,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_52,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_53,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]),
[final] ).
cnf(c_0_54,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]),
[final] ).
cnf(c_0_55,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_56,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_57,plain,
( product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]),
[final] ).
cnf(c_0_58,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_59,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_53,c_0_52]),
[final] ).
cnf(c_0_60,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_54,c_0_52]),
[final] ).
cnf(c_0_61,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_62,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_50]),c_0_58]),c_0_59]),c_0_60]),
[final] ).
cnf(c_0_63,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_64,negated_conjecture,
( product(X3,X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X4) ),
qg3,
[final] ).
cnf(c_0_65,plain,
( product(e_1,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]),
[final] ).
cnf(c_0_66,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_67,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_56]),
[final] ).
cnf(c_0_68,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_69,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_5,e_1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]),
[final] ).
cnf(c_0_70,plain,
( product(e_5,e_1,e_1)
| 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(spm,[status(thm)],[c_0_57,c_0_66]) ).
cnf(c_0_71,plain,
( product(e_1,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_62]),
[final] ).
cnf(c_0_72,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_73,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_74,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_68]),
[final] ).
cnf(c_0_75,negated_conjecture,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_4,e_1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_71]),
[final] ).
cnf(c_0_77,plain,
( product(e_4,e_1,e_1)
| 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(spm,[status(thm)],[c_0_57,c_0_72]) ).
cnf(c_0_78,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_79,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_73]),
[final] ).
cnf(c_0_80,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_81,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_82,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_65]),
[final] ).
cnf(c_0_83,negated_conjecture,
( product(e_1,e_5,e_2)
| 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(spm,[status(thm)],[c_0_75,c_0_70]) ).
cnf(c_0_84,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]),
[final] ).
cnf(c_0_85,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_86,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_56]),
[final] ).
cnf(c_0_87,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_88,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_79,c_0_80]),
[final] ).
cnf(c_0_89,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_68]),
[final] ).
cnf(c_0_90,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_91,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_92,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_56]),
[final] ).
cnf(c_0_93,negated_conjecture,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_70]) ).
cnf(c_0_94,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_71]),
[final] ).
cnf(c_0_95,negated_conjecture,
( product(e_1,e_4,e_2)
| 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(spm,[status(thm)],[c_0_85,c_0_77]) ).
cnf(c_0_96,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_62]),
[final] ).
cnf(c_0_97,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,X1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]),
[final] ).
cnf(c_0_98,plain,
( product(e_3,e_1,e_1)
| 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(spm,[status(thm)],[c_0_57,c_0_87]),c_0_88]) ).
cnf(c_0_99,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_62]),
[final] ).
cnf(c_0_100,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_101,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_90]),
[final] ).
cnf(c_0_102,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_103,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_91]),
[final] ).
cnf(c_0_104,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_105,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_106,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_77]) ).
cnf(c_0_107,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_108,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_96]),
[final] ).
cnf(c_0_109,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_110,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_56]),
[final] ).
cnf(c_0_111,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_112,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_101,c_0_102]),
[final] ).
cnf(c_0_113,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_103,c_0_102]),
[final] ).
cnf(c_0_114,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_100,c_0_68]),
[final] ).
cnf(c_0_115,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_56]),
[final] ).
cnf(c_0_116,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_117,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_56]),
[final] ).
cnf(c_0_118,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_98]) ).
cnf(c_0_119,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_109]) ).
cnf(c_0_120,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_62]),
[final] ).
cnf(c_0_121,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_111]),c_0_112]),c_0_113]) ).
cnf(c_0_122,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_62]),
[final] ).
cnf(c_0_123,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_124,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_125,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_98]),c_0_119]) ).
cnf(c_0_126,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_127,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_128,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_1,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_120]),
[final] ).
cnf(c_0_129,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_121]),c_0_122]) ).
cnf(c_0_130,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_62]),
[final] ).
cnf(c_0_131,plain,
( product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_66]),
[final] ).
cnf(c_0_132,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_56]),
[final] ).
cnf(c_0_133,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_56]),
[final] ).
cnf(c_0_135,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_56]),
[final] ).
cnf(c_0_136,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_128,c_0_121]) ).
cnf(c_0_137,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_129]) ).
cnf(c_0_138,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_130]),
[final] ).
cnf(c_0_139,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_131,c_0_50]) ).
cnf(c_0_140,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]),c_0_135]) ).
cnf(c_0_141,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_121]),c_0_137]) ).
cnf(c_0_142,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_130]),
[final] ).
cnf(c_0_143,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_130]),
[final] ).
cnf(c_0_144,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_130]),
[final] ).
cnf(c_0_145,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)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_146,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_147,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)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_139]) ).
cnf(c_0_148,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)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_143,c_0_139]) ).
cnf(c_0_149,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)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_144,c_0_139]) ).
cnf(c_0_150,negated_conjecture,
( 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147]),c_0_148]),c_0_149]) ).
cnf(c_0_151,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,X1,e_5)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_150]) ).
cnf(c_0_152,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_150]) ).
cnf(c_0_153,plain,
( product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_87]),
[final] ).
cnf(c_0_154,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_93]),c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_125]) ).
cnf(c_0_156,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_153,c_0_87]) ).
cnf(c_0_157,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_125]) ).
cnf(c_0_158,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_154]),c_0_74]) ).
cnf(c_0_160,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_161,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_93]),c_0_159]) ).
cnf(c_0_162,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_160]) ).
cnf(c_0_163,negated_conjecture,
( 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_114,c_0_125]) ).
cnf(c_0_164,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_161]) ).
cnf(c_0_165,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_161]),c_0_74]) ).
cnf(c_0_166,plain,
( product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_72]),
[final] ).
cnf(c_0_167,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_62]),
[final] ).
cnf(c_0_168,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_65]),
[final] ).
cnf(c_0_169,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_141]),c_0_163]) ).
cnf(c_0_170,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_65]),
[final] ).
cnf(c_0_171,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_93]),c_0_165]) ).
cnf(c_0_172,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_166,c_0_50]) ).
cnf(c_0_173,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_167]),
[final] ).
cnf(c_0_174,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_175,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_70]),c_0_115]),
[final] ).
cnf(c_0_176,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_169]),c_0_141]) ).
cnf(c_0_177,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_70]),c_0_132]),
[final] ).
cnf(c_0_178,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_171]) ).
cnf(c_0_179,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_171]),c_0_74]),
[final] ).
cnf(c_0_180,negated_conjecture,
( 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)
| ~ product(X1,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_172]),c_0_64]) ).
cnf(c_0_181,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)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_173,c_0_172]) ).
cnf(c_0_182,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_174]),
[final] ).
cnf(c_0_183,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_184,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_93]),c_0_179]),
[final] ).
cnf(c_0_185,negated_conjecture,
( product(e_3,e_1,e_3)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_125]),c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_187,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_5)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_185]) ).
cnf(c_0_188,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_186]) ).
cnf(c_0_189,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_153,c_0_72]) ).
cnf(c_0_190,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_187,c_0_125]) ).
cnf(c_0_191,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_153,c_0_50]) ).
cnf(c_0_192,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_99]),
[final] ).
cnf(c_0_193,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_188,c_0_125]) ).
cnf(c_0_194,negated_conjecture,
( 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_74,c_0_125]) ).
cnf(c_0_195,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_174]),
[final] ).
cnf(c_0_196,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_1,e_4,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_189]) ).
cnf(c_0_197,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_5)
| product(e_3,e_1,e_2)
| product(e_4,X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_190]) ).
cnf(c_0_198,negated_conjecture,
( 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)
| ~ product(X1,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_191]),c_0_64]) ).
cnf(c_0_199,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)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_192,c_0_191]) ).
cnf(c_0_200,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_193]),c_0_194]) ).
cnf(c_0_201,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_64]),c_0_64]) ).
cnf(c_0_202,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_197,c_0_125]) ).
cnf(c_0_203,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_184]),
[final] ).
cnf(c_0_204,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_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_141]),c_0_199]) ).
cnf(c_0_205,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_1,X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_200]) ).
cnf(c_0_206,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_5)
| ~ 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_195,c_0_160]),c_0_64]),c_0_64]),c_0_86]),
[final] ).
cnf(c_0_207,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_208,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_125]) ).
cnf(c_0_209,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_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_204]) ).
cnf(c_0_210,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_156]),c_0_206]) ).
cnf(c_0_211,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_207]) ).
cnf(c_0_212,negated_conjecture,
( 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_132,c_0_208]),c_0_135]) ).
cnf(c_0_213,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_209,c_0_141]) ).
cnf(c_0_214,plain,
( product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_111]),
[final] ).
cnf(c_0_215,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_210]) ).
cnf(c_0_216,negated_conjecture,
( 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_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_106]) ).
cnf(c_0_217,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_211,c_0_125]) ).
cnf(c_0_218,negated_conjecture,
( 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_212,c_0_141]) ).
cnf(c_0_219,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_213]) ).
cnf(c_0_220,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_141]) ).
cnf(c_0_221,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_214,c_0_87]) ).
cnf(c_0_222,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_215,c_0_156]) ).
cnf(c_0_223,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_68]),
[final] ).
cnf(c_0_224,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_225,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_218]),c_0_117]),c_0_134]),
[final] ).
cnf(c_0_226,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_219,c_0_141]) ).
cnf(c_0_227,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_127,c_0_174]),
[final] ).
cnf(c_0_228,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_229,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_214,c_0_111]) ).
cnf(c_0_230,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_141]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_222]) ).
cnf(c_0_232,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_210]) ).
cnf(c_0_233,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_210]),c_0_223]) ).
cnf(c_0_234,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_235,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_226]) ).
cnf(c_0_236,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_64]) ).
cnf(c_0_237,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_229]),c_0_230]) ).
cnf(c_0_238,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_141]),c_0_232]),c_0_233]) ).
cnf(c_0_239,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_234]),c_0_125]) ).
cnf(c_0_240,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_226]) ).
cnf(c_0_241,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_141]),c_0_236]) ).
cnf(c_0_242,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_126,c_0_174]),
[final] ).
cnf(c_0_243,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_214,c_0_50]) ).
cnf(c_0_244,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_237]) ).
cnf(c_0_245,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_141]),
[final] ).
cnf(c_0_246,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_238]) ).
cnf(c_0_247,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_223,c_0_238]) ).
cnf(c_0_248,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_239]),c_0_135]) ).
cnf(c_0_249,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_240]) ).
cnf(c_0_250,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_241]),c_0_242]),c_0_227]),
[final] ).
cnf(c_0_251,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_122]),
[final] ).
cnf(c_0_252,negated_conjecture,
( 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)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_243]),c_0_60]) ).
cnf(c_0_253,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_146]),c_0_245]) ).
cnf(c_0_254,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_141]),
[final] ).
cnf(c_0_255,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_226]),c_0_88]),c_0_247]) ).
cnf(c_0_256,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_213]) ).
cnf(c_0_257,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_141]) ).
cnf(c_0_258,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_141]),c_0_250]) ).
cnf(c_0_259,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_243]),c_0_252]) ).
cnf(c_0_260,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_253]),c_0_254]) ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_141]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_255]) ).
cnf(c_0_263,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_264,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_258]),c_0_177]) ).
cnf(c_0_265,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_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_259]) ).
cnf(c_0_266,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_260]),c_0_261]) ).
cnf(c_0_267,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_110,c_0_259]),
[final] ).
cnf(c_0_268,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_141]),c_0_250]) ).
cnf(c_0_269,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_263]) ).
cnf(c_0_270,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_5)
| ~ product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_264]) ).
cnf(c_0_271,negated_conjecture,
( 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)],[c_0_106,c_0_225]) ).
cnf(c_0_272,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).
cnf(c_0_273,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_268]) ).
cnf(c_0_274,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_226]) ).
cnf(c_0_275,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_269]),c_0_89]),c_0_182]),c_0_117]) ).
cnf(c_0_276,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_277,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_272]) ).
cnf(c_0_278,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_226]),c_0_274]),c_0_275]) ).
cnf(c_0_279,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_276]),c_0_114]),c_0_117]) ).
cnf(c_0_280,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_266]) ).
cnf(c_0_281,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_237]),c_0_64]),c_0_110]),
[final] ).
cnf(c_0_282,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_230]),c_0_227]),c_0_195]),c_0_110]),
[final] ).
cnf(c_0_283,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_174]),
[final] ).
cnf(c_0_284,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_278]) ).
cnf(c_0_285,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_279,c_0_125]) ).
cnf(c_0_286,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_229]),c_0_281]) ).
cnf(c_0_287,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_283]),c_0_195]),
[final] ).
cnf(c_0_288,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_86,c_0_259]) ).
cnf(c_0_289,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_247,c_0_241]) ).
cnf(c_0_290,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_141]),c_0_250]) ).
cnf(c_0_291,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_285]),c_0_134]),c_0_135]) ).
cnf(c_0_292,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_241]) ).
cnf(c_0_293,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_294,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| 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_288,c_0_241]) ).
cnf(c_0_295,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_289]),c_0_163]) ).
cnf(c_0_296,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_290]),c_0_135]) ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_291,c_0_141]) ).
cnf(c_0_298,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_272]),c_0_135]) ).
cnf(c_0_299,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_300,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_294]),c_0_135]) ).
cnf(c_0_301,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_268]),c_0_163]) ).
cnf(c_0_302,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_295]),c_0_141]) ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300]) ).
cnf(c_0_305,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,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_299]) ).
cnf(c_0_306,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_301]),c_0_302]) ).
cnf(c_0_307,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_303]) ).
cnf(c_0_308,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_304]) ).
cnf(c_0_309,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_305]),c_0_141]) ).
cnf(c_0_310,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_306]),c_0_275]),c_0_307]) ).
cnf(c_0_311,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_5)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_293]) ).
cnf(c_0_312,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_261]) ).
cnf(c_0_313,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_310]),c_0_195]),
[final] ).
cnf(c_0_314,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_112]) ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_316,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_277,c_0_315]) ).
cnf(c_0_317,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_316]) ).
cnf(c_0_318,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_315]),c_0_287]) ).
cnf(c_0_319,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_318]),c_0_112]) ).
cnf(c_0_320,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_146]),c_0_245]) ).
cnf(c_0_321,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_319]) ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_320,c_0_225]) ).
cnf(c_0_323,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| 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_265,c_0_218]) ).
cnf(c_0_324,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_113]),c_0_313]) ).
cnf(c_0_325,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_323]) ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_324]),c_0_261]),c_0_313]) ).
cnf(c_0_327,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,X1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_320]) ).
cnf(c_0_328,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_325,c_0_218]) ).
cnf(c_0_329,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_326]),c_0_113]) ).
cnf(c_0_330,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_327,c_0_146]) ).
cnf(c_0_331,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_328]) ).
cnf(c_0_332,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_329]),c_0_267]) ).
cnf(c_0_333,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_330,c_0_225]) ).
cnf(c_0_334,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_218]),c_0_245]) ).
cnf(c_0_335,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_332]),c_0_319]) ).
cnf(c_0_336,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_333]),c_0_261]) ).
cnf(c_0_337,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,X1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_334]) ).
cnf(c_0_338,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_335]) ).
cnf(c_0_339,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_2)
| product(e_2,X1,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_336]) ).
cnf(c_0_340,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_337,c_0_218]) ).
cnf(c_0_341,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_68]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_329]),c_0_287]) ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_339,c_0_333]) ).
cnf(c_0_344,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_336]),c_0_113]),c_0_313]) ).
cnf(c_0_345,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_68]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_340]),c_0_177]) ).
cnf(c_0_347,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_131,c_0_111]) ).
cnf(c_0_348,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_329]),c_0_341]),
[final] ).
cnf(c_0_349,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_245]) ).
cnf(c_0_350,negated_conjecture,
product(e_2,e_2,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_342]),c_0_113]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_313,c_0_343]) ).
cnf(c_0_352,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_68]),
[final] ).
cnf(c_0_353,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_68]),
[final] ).
cnf(c_0_354,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_126,c_0_68]),
[final] ).
cnf(c_0_355,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_153,c_0_111]) ).
cnf(c_0_356,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_344]),c_0_223]),c_0_345]),
[final] ).
cnf(c_0_357,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_261]) ).
cnf(c_0_358,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_346]),c_0_184]) ).
cnf(c_0_359,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_347,c_0_348]) ).
cnf(c_0_360,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_350])]),
[final] ).
cnf(c_0_361,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_218]) ).
cnf(c_0_362,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_166,c_0_111]) ).
cnf(c_0_363,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_351]),c_0_352]),c_0_353]),c_0_354]),
[final] ).
cnf(c_0_364,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_254]) ).
cnf(c_0_365,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| 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_288,c_0_310]) ).
cnf(c_0_366,negated_conjecture,
( product(e_2,X1,e_2)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_350]),
[final] ).
cnf(c_0_367,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_368,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_350])]),
[final] ).
cnf(c_0_369,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_358]) ).
cnf(c_0_370,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_347]),c_0_245]) ).
cnf(c_0_372,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_373,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_350])]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_365]),c_0_366]) ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_297]) ).
cnf(c_0_376,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_367,c_0_368]),
[final] ).
cnf(c_0_377,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_348]) ).
cnf(c_0_378,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_371]),c_0_114]),c_0_341]) ).
cnf(c_0_379,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_370]) ).
cnf(c_0_380,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_372,c_0_373]) ).
cnf(c_0_381,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_370]) ).
cnf(c_0_382,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_374,c_0_218]) ).
cnf(c_0_383,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_366]) ).
cnf(c_0_384,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_306]) ).
cnf(c_0_385,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_377]) ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_350])]) ).
cnf(c_0_387,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_129]),c_0_135]) ).
cnf(c_0_388,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_379,c_0_376]) ).
cnf(c_0_389,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_380]) ).
cnf(c_0_390,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_381,c_0_380]) ).
cnf(c_0_391,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_3,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_382]) ).
cnf(c_0_392,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_383]) ).
cnf(c_0_393,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_376]),c_0_366]) ).
cnf(c_0_394,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_385,c_0_386]) ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_386]) ).
cnf(c_0_396,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_388]),c_0_352]) ).
cnf(c_0_397,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_389,c_0_376]) ).
cnf(c_0_398,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_390]),c_0_352]) ).
cnf(c_0_399,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_218]),c_0_360]) ).
cnf(c_0_400,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_96]),
[final] ).
cnf(c_0_401,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_96]),
[final] ).
cnf(c_0_402,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_100,c_0_174]),
[final] ).
cnf(c_0_403,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_96]),
[final] ).
cnf(c_0_404,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_81,c_0_174]),
[final] ).
cnf(c_0_405,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_275]) ).
cnf(c_0_406,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_394]),c_0_395]) ).
cnf(c_0_407,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_398]) ).
cnf(c_0_408,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_376]),
[final] ).
cnf(c_0_409,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_374,c_0_399]) ).
cnf(c_0_410,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_146]),c_0_401]),c_0_402]),c_0_403]),
[final] ).
cnf(c_0_411,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_405]) ).
cnf(c_0_412,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_406]),c_0_404]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_407]) ).
cnf(c_0_414,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_71]),
[final] ).
cnf(c_0_415,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_71]),
[final] ).
cnf(c_0_416,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_71]),
[final] ).
cnf(c_0_417,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410]),c_0_411]),c_0_412]) ).
cnf(c_0_418,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_413,c_0_310]) ).
cnf(c_0_419,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_380]) ).
cnf(c_0_420,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_146]),c_0_402]),c_0_415]),c_0_416]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_417]),c_0_350])]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_418]),c_0_134]) ).
cnf(c_0_423,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_365]),c_0_420]),c_0_366]) ).
cnf(c_0_424,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_421]),c_0_352]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_310]) ).
cnf(c_0_426,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_422,c_0_257]) ).
cnf(c_0_427,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_428,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_429,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_380,c_0_424]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_427]) ).
cnf(c_0_431,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_428,c_0_424]) ).
cnf(c_0_432,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_429]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_431]),c_0_368]) ).
cnf(c_0_434,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_271]) ).
cnf(c_0_435,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_63,c_0_174]),
[final] ).
cnf(c_0_436,negated_conjecture,
( 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_432,c_0_433]) ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_5,X1,e_5)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_390]) ).
cnf(c_0_438,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_434,c_0_380]) ).
cnf(c_0_439,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_436]) ).
cnf(c_0_441,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_442,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_257]),c_0_440]) ).
cnf(c_0_443,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_441,c_0_424]) ).
cnf(c_0_444,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_442]),c_0_177]) ).
cnf(c_0_445,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_443]),c_0_92]) ).
cnf(c_0_446,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_444]),c_0_184]) ).
cnf(c_0_447,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_447]),c_0_134]) ).
cnf(c_0_449,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_448,c_0_141]) ).
cnf(c_0_450,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_166,c_0_66]) ).
cnf(c_0_451,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_449]),c_0_350])]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_184]),
[final] ).
cnf(c_0_453,plain,
( product(e_5,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)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_450]) ).
cnf(c_0_454,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_451]),
[final] ).
cnf(c_0_455,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_438,c_0_424]) ).
cnf(c_0_456,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_446]) ).
cnf(c_0_457,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| 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_452,c_0_418]) ).
cnf(c_0_458,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_167]),
[final] ).
cnf(c_0_459,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_167]),
[final] ).
cnf(c_0_460,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_167]),
[final] ).
cnf(c_0_461,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_167]),
[final] ).
cnf(c_0_462,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| 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_453,c_0_380]) ).
cnf(c_0_463,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_454,c_0_455]) ).
cnf(c_0_464,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_456,c_0_125]) ).
cnf(c_0_465,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_457,c_0_424]) ).
cnf(c_0_466,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_167]),c_0_112]),c_0_458]) ).
cnf(c_0_467,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)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_172]) ).
cnf(c_0_468,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)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_460,c_0_172]) ).
cnf(c_0_469,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)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_461,c_0_172]) ).
cnf(c_0_470,plain,
( product(e_5,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)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_462,c_0_424]) ).
cnf(c_0_471,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_463]),c_0_117]) ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_464]),c_0_117]) ).
cnf(c_0_473,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_109]),c_0_115]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_465]),c_0_141]) ).
cnf(c_0_475,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_98]),c_0_135]),
[final] ).
cnf(c_0_476,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_166,c_0_72]) ).
cnf(c_0_477,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_271]),
[final] ).
cnf(c_0_478,negated_conjecture,
( 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)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_466,c_0_172]) ).
cnf(c_0_479,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_1,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_146]),c_0_468]),c_0_181]),c_0_469]) ).
cnf(c_0_480,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| ~ product(X1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_470]),c_0_64]) ).
cnf(c_0_481,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_125]),c_0_472]) ).
cnf(c_0_482,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_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_204]),
[final] ).
cnf(c_0_483,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_475]) ).
cnf(c_0_484,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_4,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_476]),c_0_477]) ).
cnf(c_0_485,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_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_478]),c_0_404]),c_0_283]) ).
cnf(c_0_486,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_479]) ).
cnf(c_0_487,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_446]) ).
cnf(c_0_488,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_480,c_0_451]) ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_481]),c_0_482]) ).
cnf(c_0_490,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_483]),c_0_135]),c_0_223]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_442]) ).
cnf(c_0_492,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_484]),c_0_64]),c_0_64]),c_0_67]),
[final] ).
cnf(c_0_493,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| 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(spm,[status(thm)],[c_0_485,c_0_455]),c_0_486]) ).
cnf(c_0_494,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_463]),c_0_92]) ).
cnf(c_0_495,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_496,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_489]) ).
cnf(c_0_497,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_490]),c_0_482]),c_0_86]),
[final] ).
cnf(c_0_498,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_491,c_0_436]) ).
cnf(c_0_499,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_455]) ).
cnf(c_0_500,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_484]),c_0_64]),c_0_67]) ).
cnf(c_0_501,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_493]) ).
cnf(c_0_502,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_503,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_481]),c_0_497]) ).
cnf(c_0_504,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_498]) ).
cnf(c_0_505,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_499,c_0_442]) ).
cnf(c_0_506,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_498]) ).
cnf(c_0_507,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_508,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_502]) ).
cnf(c_0_509,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_160]),c_0_64]),c_0_86]) ).
cnf(c_0_510,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_206,c_0_503]) ).
cnf(c_0_511,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_481]) ).
cnf(c_0_512,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_505]),c_0_506]) ).
cnf(c_0_513,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_507]),c_0_92]) ).
cnf(c_0_514,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_508,c_0_451]) ).
cnf(c_0_515,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]) ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_512]),c_0_141]) ).
cnf(c_0_517,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_345,c_0_451]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_519,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_515]) ).
cnf(c_0_520,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_516]),c_0_350])]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_483]),c_0_517]) ).
cnf(c_0_522,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_518]) ).
cnf(c_0_523,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_464]),c_0_135]) ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_519]),c_0_520]) ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_521]),c_0_135]) ).
cnf(c_0_526,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_522,c_0_429]) ).
cnf(c_0_527,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_523,c_0_524]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_525,c_0_524]),
[final] ).
cnf(c_0_529,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_495]) ).
cnf(c_0_530,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_526]),c_0_420]) ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_488]) ).
cnf(c_0_532,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_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_454,c_0_259]) ).
cnf(c_0_533,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_527]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_432,c_0_528]),
[final] ).
cnf(c_0_535,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_531]) ).
cnf(c_0_536,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_166,c_0_87]) ).
cnf(c_0_537,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_532]),c_0_420]) ).
cnf(c_0_538,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_533,c_0_534]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_535]) ).
cnf(c_0_540,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_536]) ).
cnf(c_0_541,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_2,e_2)
| product(e_5,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_537]) ).
cnf(c_0_542,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_538]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_495]) ).
cnf(c_0_544,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_484]),c_0_64]),c_0_67]) ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_530]),c_0_354]),c_0_195]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_538]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_539,c_0_451]) ).
cnf(c_0_548,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| 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_540,c_0_380]) ).
cnf(c_0_549,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_527]),c_0_368]),c_0_542]),
[final] ).
cnf(c_0_550,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_534]),
[final] ).
cnf(c_0_551,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_543,c_0_524]) ).
cnf(c_0_552,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_544,c_0_538]),c_0_545]) ).
cnf(c_0_553,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_546,c_0_547]),
[final] ).
cnf(c_0_554,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_548,c_0_424]) ).
cnf(c_0_555,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_549]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_550,c_0_551]),c_0_546]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_552]),c_0_553]) ).
cnf(c_0_558,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_130]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_554]) ).
cnf(c_0_560,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_555,c_0_556]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_557]),
[final] ).
cnf(c_0_562,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_115,c_0_551]),c_0_546]),
[final] ).
cnf(c_0_563,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_527]),
[final] ).
cnf(c_0_564,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_139]),c_0_353]),
[final] ).
cnf(c_0_565,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_560]),c_0_561]),c_0_562]),c_0_563]),
[final] ).
cnf(c_0_566,negated_conjecture,
( product(e_2,e_4,e_5)
| 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_564,c_0_538]) ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_565]),
[final] ).
cnf(c_0_568,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_184]),
[final] ).
cnf(c_0_569,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_131,c_0_66]) ).
cnf(c_0_570,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_184]) ).
cnf(c_0_571,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_566]) ).
cnf(c_0_572,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_567,c_0_429]),
[final] ).
cnf(c_0_573,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_569]),c_0_570]) ).
cnf(c_0_574,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_209,c_0_395]) ).
cnf(c_0_575,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_576,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_110,c_0_573]) ).
cnf(c_0_577,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_153,c_0_66]) ).
cnf(c_0_578,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_574]),c_0_421]) ).
cnf(c_0_579,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_296,c_0_386]) ).
cnf(c_0_580,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_446]),c_0_227]),
[final] ).
cnf(c_0_581,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_575]),c_0_560]),
[final] ).
cnf(c_0_582,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_576,c_0_421]) ).
cnf(c_0_583,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_577]) ).
cnf(c_0_584,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_549]),
[final] ).
cnf(c_0_585,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_578]) ).
cnf(c_0_586,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_579]),c_0_195]) ).
cnf(c_0_587,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_451]),c_0_580]) ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_581]),
[final] ).
cnf(c_0_589,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_582]) ).
cnf(c_0_590,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_534]),c_0_584]) ).
cnf(c_0_591,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_395]),c_0_586]) ).
cnf(c_0_592,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_5)
| product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_587]),c_0_353]) ).
cnf(c_0_593,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_588,c_0_565]),
[final] ).
cnf(c_0_594,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_589,c_0_141]) ).
cnf(c_0_595,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_495]),c_0_352]) ).
cnf(c_0_596,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_590]),c_0_520]) ).
cnf(c_0_597,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_591]) ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_386]) ).
cnf(c_0_599,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_592,c_0_593]) ).
cnf(c_0_600,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_418,c_0_424]) ).
cnf(c_0_601,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_594]),c_0_345]) ).
cnf(c_0_602,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_546]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_524]),
[final] ).
cnf(c_0_604,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_581]),
[final] ).
cnf(c_0_605,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_370]) ).
cnf(c_0_606,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_395]),c_0_598]) ).
cnf(c_0_607,negated_conjecture,
( product(e_5,e_5,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_599]),c_0_353]),
[final] ).
cnf(c_0_608,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_255]),c_0_117]) ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_426,c_0_424]) ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_600]),c_0_223]),c_0_135]),
[final] ).
cnf(c_0_611,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_151,c_0_106]) ).
cnf(c_0_612,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_5,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_602]),c_0_603]),c_0_517]),c_0_604]) ).
cnf(c_0_613,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_386]) ).
cnf(c_0_614,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_605,c_0_606]) ).
cnf(c_0_615,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_607]),
[final] ).
cnf(c_0_616,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_609]),c_0_610]) ).
cnf(c_0_617,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_413,c_0_405]) ).
cnf(c_0_618,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_611,c_0_225]) ).
cnf(c_0_619,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_612]),c_0_132]),
[final] ).
cnf(c_0_620,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_613,c_0_614]) ).
cnf(c_0_621,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_602]),c_0_353]),
[final] ).
cnf(c_0_622,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_507]) ).
cnf(c_0_623,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_565]),c_0_134]),
[final] ).
cnf(c_0_624,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_616]),c_0_177]) ).
cnf(c_0_625,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_617,c_0_424]) ).
cnf(c_0_626,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_618,c_0_619]) ).
cnf(c_0_627,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_620,c_0_621]),
[final] ).
cnf(c_0_628,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_622]) ).
cnf(c_0_629,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_476,c_0_623]) ).
cnf(c_0_630,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_624]),c_0_184]) ).
cnf(c_0_631,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| 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_452,c_0_625]) ).
cnf(c_0_632,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_626]),c_0_627]) ).
cnf(c_0_633,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_628,c_0_629]),c_0_492]) ).
cnf(c_0_634,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_630]),c_0_114]) ).
cnf(c_0_635,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_631]),c_0_141]) ).
cnf(c_0_636,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_632]) ).
cnf(c_0_637,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_633]) ).
cnf(c_0_638,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_634,c_0_125]) ).
cnf(c_0_639,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_635]),c_0_475]) ).
cnf(c_0_640,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_150]) ).
cnf(c_0_641,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_636,c_0_271]) ).
cnf(c_0_642,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_637,c_0_629]) ).
cnf(c_0_643,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_638]),c_0_135]) ).
cnf(c_0_644,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_486,c_0_520]) ).
cnf(c_0_645,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_639]) ).
cnf(c_0_646,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_640,c_0_479]) ).
cnf(c_0_647,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_641]) ).
cnf(c_0_648,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_642]),c_0_92]) ).
cnf(c_0_649,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_643,c_0_141]) ).
cnf(c_0_650,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_644]) ).
cnf(c_0_651,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_645,c_0_376]) ).
cnf(c_0_652,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_566]),c_0_110]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| 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(spm,[status(thm)],[c_0_110,c_0_646]) ).
cnf(c_0_654,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_3,e_4) ),
inference(spm,[status(thm)],[c_0_486,c_0_517]) ).
cnf(c_0_655,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_184]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_507]),c_0_648]) ).
cnf(c_0_657,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_649]),c_0_177]) ).
cnf(c_0_658,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_650,c_0_651]) ).
cnf(c_0_659,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_652,c_0_479]) ).
cnf(c_0_660,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_421]),c_0_654]) ).
cnf(c_0_661,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_642]) ).
cnf(c_0_662,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_633]),c_0_353]) ).
cnf(c_0_663,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_655,c_0_656]) ).
cnf(c_0_664,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_657]),c_0_184]) ).
cnf(c_0_665,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_658]) ).
cnf(c_0_666,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_208]),c_0_117]) ).
cnf(c_0_667,negated_conjecture,
( product(e_1,e_5,e_3)
| 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(spm,[status(thm)],[c_0_242,c_0_659]),c_0_660]) ).
cnf(c_0_668,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_184]),c_0_662]) ).
cnf(c_0_669,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_633]) ).
cnf(c_0_670,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_663]),c_0_134]) ).
cnf(c_0_671,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_664]) ).
cnf(c_0_672,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_665,c_0_639]) ).
cnf(c_0_673,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| 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_666,c_0_239]) ).
cnf(c_0_674,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_667]),c_0_353]) ).
cnf(c_0_675,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_656]) ).
cnf(c_0_676,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_668]),c_0_633]) ).
cnf(c_0_677,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_669,c_0_141]) ).
cnf(c_0_678,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_670,c_0_141]) ).
cnf(c_0_679,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_671,c_0_656]) ).
cnf(c_0_680,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_672]) ).
cnf(c_0_681,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_673]),c_0_257]) ).
cnf(c_0_682,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_641]) ).
cnf(c_0_683,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_675,c_0_125]) ).
cnf(c_0_684,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_676]),c_0_677]) ).
cnf(c_0_685,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_678]),c_0_135]) ).
cnf(c_0_686,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_679]),c_0_89]),c_0_117]) ).
cnf(c_0_687,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_217]),c_0_195]),c_0_227]),
[final] ).
cnf(c_0_688,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_680,c_0_639]) ).
cnf(c_0_689,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_681]) ).
cnf(c_0_690,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_4,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_682]),c_0_84]) ).
cnf(c_0_691,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_683]),c_0_684]),c_0_685]),c_0_686]) ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_688]),c_0_689]) ).
cnf(c_0_693,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,X1,e_5)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_520]),
[final] ).
cnf(c_0_694,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_690,c_0_691]) ).
cnf(c_0_695,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_692]) ).
cnf(c_0_696,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_635]),c_0_135]) ).
cnf(c_0_697,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_651]) ).
cnf(c_0_698,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_634,c_0_639]) ).
cnf(c_0_699,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_694]),c_0_67]) ).
cnf(c_0_700,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_695,c_0_658]),c_0_696]) ).
cnf(c_0_701,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_697]),c_0_117]) ).
cnf(c_0_702,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_639]) ).
cnf(c_0_703,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_698]) ).
cnf(c_0_704,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_699,c_0_700]),c_0_701]) ).
cnf(c_0_705,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_1,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_413,c_0_259]) ).
cnf(c_0_706,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_702]) ).
cnf(c_0_707,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_703,c_0_704]) ).
cnf(c_0_708,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| 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_705,c_0_424]) ).
cnf(c_0_709,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_129]),c_0_132]) ).
cnf(c_0_710,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_706,c_0_704]) ).
cnf(c_0_711,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_707]) ).
cnf(c_0_712,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_5,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_708]) ).
cnf(c_0_713,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_709,c_0_710]) ).
cnf(c_0_714,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_711,c_0_376]) ).
cnf(c_0_715,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_712]),c_0_410]) ).
cnf(c_0_716,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_713]) ).
cnf(c_0_717,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_714]),c_0_410]) ).
cnf(c_0_718,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_704]) ).
cnf(c_0_719,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_715]),c_0_350])]) ).
cnf(c_0_720,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_702]),c_0_135]) ).
cnf(c_0_721,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_716,c_0_717]) ).
cnf(c_0_722,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_718,c_0_421]) ).
cnf(c_0_723,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_618]) ).
cnf(c_0_724,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_719]) ).
cnf(c_0_725,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_720,c_0_721]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_408,c_0_722]) ).
cnf(c_0_727,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_723,c_0_271]) ).
cnf(c_0_728,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_724,c_0_725]) ).
cnf(c_0_729,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_726]) ).
cnf(c_0_730,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_5,e_4,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_727]) ).
cnf(c_0_731,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_728]) ).
cnf(c_0_732,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_729,c_0_717]),
[final] ).
cnf(c_0_733,negated_conjecture,
( product(e_5,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)
| product(e_1,e_5,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_434,c_0_450]) ).
cnf(c_0_734,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_1,e_5,e_2)
| product(e_5,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_730,c_0_271]) ).
cnf(c_0_735,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_3)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_641]) ).
cnf(c_0_736,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_737,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_733]),c_0_734]) ).
cnf(c_0_738,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_735,c_0_271]) ).
cnf(c_0_739,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_736]),c_0_135]),
[final] ).
cnf(c_0_740,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_482,c_0_238]) ).
cnf(c_0_741,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_443]),c_0_132]) ).
cnf(c_0_742,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(X1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_737]),c_0_64]) ).
cnf(c_0_743,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_738]) ).
cnf(c_0_744,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_739,c_0_238]) ).
cnf(c_0_745,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_740]),c_0_135]) ).
cnf(c_0_746,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_476]) ).
cnf(c_0_747,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_493]),c_0_84]) ).
cnf(c_0_748,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_741,c_0_737]),c_0_742]) ).
cnf(c_0_749,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_743,c_0_421]) ).
cnf(c_0_750,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_744]),c_0_745]) ).
cnf(c_0_751,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_746,c_0_380]) ).
cnf(c_0_752,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_747,c_0_684]) ).
cnf(c_0_753,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_748]),c_0_84]) ).
cnf(c_0_754,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_749]) ).
cnf(c_0_755,negated_conjecture,
( product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_691]),
[final] ).
cnf(c_0_756,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_750]) ).
cnf(c_0_757,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_750]),c_0_88]) ).
cnf(c_0_758,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_476]) ).
cnf(c_0_759,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_751,c_0_424]) ).
cnf(c_0_760,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_752]),c_0_92]) ).
cnf(c_0_761,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_753,c_0_684]) ).
cnf(c_0_762,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_755]),c_0_134]),c_0_89]),
[final] ).
cnf(c_0_763,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_756,c_0_490]),c_0_757]) ).
cnf(c_0_764,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_758,c_0_536]) ).
cnf(c_0_765,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_759]),c_0_135]) ).
cnf(c_0_766,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_760,c_0_761]) ).
cnf(c_0_767,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_691]),c_0_227]),
[final] ).
cnf(c_0_768,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_184]),
[final] ).
cnf(c_0_769,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_638]),c_0_117]) ).
cnf(c_0_770,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_681]) ).
cnf(c_0_771,negated_conjecture,
( product(e_3,e_3,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_763]),c_0_117]) ).
cnf(c_0_772,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_764]),c_0_554]),c_0_765]) ).
cnf(c_0_773,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_766,c_0_767]) ).
cnf(c_0_774,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_768,c_0_748]),c_0_655]) ).
cnf(c_0_775,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_770]),c_0_771]) ).
cnf(c_0_776,plain,
( product(e_3,e_4,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_772]),c_0_64]),c_0_64]),c_0_64]) ).
cnf(c_0_777,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_125]) ).
cnf(c_0_778,plain,
( product(e_5,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)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_450]) ).
cnf(c_0_779,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_773]),c_0_115]),c_0_117]),
[final] ).
cnf(c_0_780,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_774]),c_0_134]) ).
cnf(c_0_781,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_775]) ).
cnf(c_0_782,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_681]),c_0_777]) ).
cnf(c_0_783,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| 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_778,c_0_536]) ).
cnf(c_0_784,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_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_470]),c_0_135]) ).
cnf(c_0_785,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_666,c_0_779]),c_0_84]),
[final] ).
cnf(c_0_786,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_780,c_0_141]) ).
cnf(c_0_787,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_782]),c_0_373]),c_0_771]) ).
cnf(c_0_788,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_783]),c_0_593]),c_0_784]) ).
cnf(c_0_789,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_709,c_0_785]) ).
cnf(c_0_790,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_786]),c_0_135]) ).
cnf(c_0_791,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_84,c_0_787]),c_0_352]),
[final] ).
cnf(c_0_792,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_788]),c_0_117]) ).
cnf(c_0_793,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_779]),c_0_789]),
[final] ).
cnf(c_0_794,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_676]),c_0_92]) ).
cnf(c_0_795,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_790,c_0_791]),c_0_115]),
[final] ).
cnf(c_0_796,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_691]),c_0_793]) ).
cnf(c_0_797,negated_conjecture,
( product(e_4,e_4,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_795]),c_0_767]) ).
cnf(c_0_798,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_796]) ).
cnf(c_0_799,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_797]),c_0_115]),c_0_86]),
[final] ).
cnf(c_0_800,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_791]) ).
cnf(c_0_801,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_798,c_0_421]) ).
cnf(c_0_802,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_799]),c_0_800]),
[final] ).
cnf(c_0_803,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_644]) ).
cnf(c_0_804,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_801,c_0_802]) ).
cnf(c_0_805,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_644]) ).
cnf(c_0_806,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_803]),c_0_84]),c_0_227]) ).
cnf(c_0_807,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_804]) ).
cnf(c_0_808,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_257]) ).
cnf(c_0_809,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_684]),c_0_806]) ).
cnf(c_0_810,negated_conjecture,
( 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_84,c_0_208]) ).
cnf(c_0_811,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_796,c_0_802]) ).
cnf(c_0_812,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_807,c_0_421]) ).
cnf(c_0_813,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_666,c_0_770]) ).
cnf(c_0_814,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_808]),c_0_141]) ).
cnf(c_0_815,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_695,c_0_809]) ).
cnf(c_0_816,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_5,e_4,e_2)
| 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_810,c_0_811]) ).
cnf(c_0_817,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_812]),c_0_223]) ).
cnf(c_0_818,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_813]),c_0_814]) ).
cnf(c_0_819,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_763]) ).
cnf(c_0_820,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_815]),c_0_92]) ).
cnf(c_0_821,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_816]),c_0_387]) ).
cnf(c_0_822,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_817,c_0_818]) ).
cnf(c_0_823,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_490]),c_0_195]),c_0_242]),
[final] ).
cnf(c_0_824,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_387]) ).
cnf(c_0_825,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_822]) ).
cnf(c_0_826,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_238,c_0_823]) ).
cnf(c_0_827,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_824]) ).
cnf(c_0_828,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_825,c_0_782]),c_0_373]),c_0_689]) ).
cnf(c_0_829,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_771,c_0_692]) ).
cnf(c_0_830,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_826]) ).
cnf(c_0_831,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_649]),c_0_227]),
[final] ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_827,c_0_828]),c_0_387]) ).
cnf(c_0_833,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_829]),c_0_830]) ).
cnf(c_0_834,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_141]),c_0_250]),c_0_831]) ).
cnf(c_0_835,negated_conjecture,
( product(e_5,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)
| product(e_4,X1,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_450]) ).
cnf(c_0_836,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_832]) ).
cnf(c_0_837,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_833]),c_0_834]) ).
cnf(c_0_838,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_828]),c_0_89]),
[final] ).
cnf(c_0_839,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,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_835,c_0_421]) ).
cnf(c_0_840,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_836,c_0_837]) ).
cnf(c_0_841,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_838]),c_0_182]),c_0_86]),
[final] ).
cnf(c_0_842,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_736]),c_0_110]),
[final] ).
cnf(c_0_843,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_839]),c_0_488]) ).
cnf(c_0_844,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_840]) ).
cnf(c_0_845,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_840]),c_0_842]) ).
cnf(c_0_846,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_843]),c_0_132]) ).
cnf(c_0_847,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_474]) ).
cnf(c_0_848,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_821]) ).
cnf(c_0_849,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_844,c_0_845]),c_0_387]) ).
cnf(c_0_850,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_4,e_3)
| product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_600]),c_0_847]) ).
cnf(c_0_851,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_412]),c_0_849]) ).
cnf(c_0_852,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_850]) ).
cnf(c_0_853,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_297]),c_0_288]) ).
cnf(c_0_854,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_851]),c_0_223]) ).
cnf(c_0_855,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_405]),c_0_366]) ).
cnf(c_0_856,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_852,c_0_421]) ).
cnf(c_0_857,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_853]),c_0_366]) ).
cnf(c_0_858,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_854,c_0_828]),c_0_387]) ).
cnf(c_0_859,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_855]) ).
cnf(c_0_860,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_609]) ).
cnf(c_0_861,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_856]) ).
cnf(c_0_862,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_474]),c_0_135]) ).
cnf(c_0_863,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_207]) ).
cnf(c_0_864,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_857]) ).
cnf(c_0_865,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_858]) ).
cnf(c_0_866,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_859]),c_0_410]) ).
cnf(c_0_867,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_860,c_0_861]),c_0_862]) ).
cnf(c_0_868,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_788,c_0_793]) ).
cnf(c_0_869,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_863]),c_0_135]) ).
cnf(c_0_870,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_218]),c_0_360]) ).
cnf(c_0_871,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_865,c_0_837]) ).
cnf(c_0_872,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_866]) ).
cnf(c_0_873,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_867]),c_0_411]) ).
cnf(c_0_874,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_656]),c_0_352]) ).
cnf(c_0_875,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_677]) ).
cnf(c_0_876,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_868,c_0_802]) ).
cnf(c_0_877,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_869,c_0_141]) ).
cnf(c_0_878,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_870]),c_0_134]),c_0_117]) ).
cnf(c_0_879,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_841,c_0_871]) ).
cnf(c_0_880,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_872,c_0_873]) ).
cnf(c_0_881,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_817,c_0_814]) ).
cnf(c_0_882,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_874,c_0_257]) ).
cnf(c_0_883,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_875,c_0_257]) ).
cnf(c_0_884,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_876]),c_0_117]) ).
cnf(c_0_885,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_877,c_0_767]),c_0_878]) ).
cnf(c_0_886,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_1,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_879]) ).
cnf(c_0_887,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_880]),c_0_110]) ).
cnf(c_0_888,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_881]) ).
cnf(c_0_889,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_882]),c_0_883]) ).
cnf(c_0_890,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_257]) ).
cnf(c_0_891,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,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_884,c_0_885]),c_0_790]) ).
cnf(c_0_892,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_871]) ).
cnf(c_0_893,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_886,c_0_858]),c_0_823]) ).
cnf(c_0_894,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_887,c_0_213]) ).
cnf(c_0_895,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_889]),c_0_373]),c_0_890]) ).
cnf(c_0_896,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_891]) ).
cnf(c_0_897,negated_conjecture,
product(e_2,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_892,c_0_893]),c_0_387]),
[final] ).
cnf(c_0_898,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_894]) ).
cnf(c_0_899,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_213]) ).
cnf(c_0_900,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_895]) ).
cnf(c_0_901,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_218]) ).
cnf(c_0_902,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_755]),c_0_373]),c_0_134]) ).
cnf(c_0_903,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_896,c_0_421]) ).
cnf(c_0_904,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_227,c_0_897]),
[final] ).
cnf(c_0_905,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_898,c_0_834]) ).
cnf(c_0_906,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_5,e_5)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_323]),c_0_366]) ).
cnf(c_0_907,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_838]) ).
cnf(c_0_908,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_900,c_0_891]),c_0_901]),c_0_902]) ).
cnf(c_0_909,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_903,c_0_904]) ).
cnf(c_0_910,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_905]) ).
cnf(c_0_911,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_906,c_0_621]) ).
cnf(c_0_912,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_907,c_0_897])]),
[final] ).
cnf(c_0_913,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_908]),c_0_177]) ).
cnf(c_0_914,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_909]) ).
cnf(c_0_915,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_141]),c_0_250]) ).
cnf(c_0_916,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_911,c_0_904]) ).
cnf(c_0_917,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_837,c_0_912]),
[final] ).
cnf(c_0_918,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_913]),c_0_184]) ).
cnf(c_0_919,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_914,c_0_812]) ).
cnf(c_0_920,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_915]),c_0_366]) ).
cnf(c_0_921,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_916]),c_0_917])]) ).
cnf(c_0_922,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_895,c_0_904]),
[final] ).
cnf(c_0_923,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_918]) ).
cnf(c_0_924,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_762,c_0_919]) ).
cnf(c_0_925,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_920]) ).
cnf(c_0_926,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_921]),c_0_922]) ).
cnf(c_0_927,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_536,c_0_793]) ).
cnf(c_0_928,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_923,c_0_125]) ).
cnf(c_0_929,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_924]),c_0_897])]) ).
cnf(c_0_930,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_925]) ).
cnf(c_0_931,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_926]) ).
cnf(c_0_932,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_897])]),
[final] ).
cnf(c_0_933,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_927,c_0_802]) ).
cnf(c_0_934,negated_conjecture,
( product(e_3,e_5,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_132,c_0_928]),c_0_135]) ).
cnf(c_0_935,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_929]) ).
cnf(c_0_936,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_755]),
[final] ).
cnf(c_0_937,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_930,c_0_908]),c_0_368]) ).
cnf(c_0_938,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_932]),c_0_360]),
[final] ).
cnf(c_0_939,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_933]) ).
cnf(c_0_940,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_209,c_0_897]) ).
cnf(c_0_941,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_934,c_0_897])]),
[final] ).
cnf(c_0_942,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_755]),c_0_373]),c_0_936]),c_0_134]),
[final] ).
cnf(c_0_943,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_937,c_0_904]) ).
cnf(c_0_944,negated_conjecture,
( product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_691]),
[final] ).
cnf(c_0_945,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_175,c_0_938]) ).
cnf(c_0_946,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_434,c_0_536]) ).
cnf(c_0_947,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_939,c_0_940]),c_0_420]) ).
cnf(c_0_948,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_941]),
[final] ).
cnf(c_0_949,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_189,c_0_942]) ).
cnf(c_0_950,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_943]),c_0_134]),
[final] ).
cnf(c_0_951,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_944]),
[final] ).
cnf(c_0_952,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_945]),c_0_184]) ).
cnf(c_0_953,negated_conjecture,
( product(e_4,e_1,e_4)
| 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)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_946]),c_0_64]),
[final] ).
cnf(c_0_954,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_947]),c_0_917])]) ).
cnf(c_0_955,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_949]),c_0_950]) ).
cnf(c_0_956,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_951,c_0_922]),
[final] ).
cnf(c_0_957,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,X1,e_5)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_479]) ).
cnf(c_0_958,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_952]) ).
cnf(c_0_959,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_953,c_0_954]),c_0_793]),c_0_802]) ).
cnf(c_0_960,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_955]),c_0_352]) ).
cnf(c_0_961,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_956]),
[final] ).
cnf(c_0_962,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_957,c_0_184]) ).
cnf(c_0_963,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_958,c_0_959]) ).
cnf(c_0_964,negated_conjecture,
( product(e_3,X1,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_917]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_4,e_3,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_944]),c_0_961]),
[final] ).
cnf(c_0_966,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_962]) ).
cnf(c_0_967,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_963]),c_0_897])]) ).
cnf(c_0_968,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_965]),c_0_802]),
[final] ).
cnf(c_0_969,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_966,c_0_184]) ).
cnf(c_0_970,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_967,c_0_968]),
[final] ).
cnf(c_0_971,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_131,c_0_72]) ).
cnf(c_0_972,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_969]) ).
cnf(c_0_973,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_970]),
[final] ).
cnf(c_0_974,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_1,e_4,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_568,c_0_971]) ).
cnf(c_0_975,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_972,c_0_184]) ).
cnf(c_0_976,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_4,e_1,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_973,c_0_940]) ).
cnf(c_0_977,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_974]),c_0_975]) ).
cnf(c_0_978,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_1,e_5)
| product(e_1,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_976]),c_0_917])]) ).
cnf(c_0_979,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_132,c_0_977]) ).
cnf(c_0_980,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_978]) ).
cnf(c_0_981,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_941]),c_0_341]),
[final] ).
cnf(c_0_982,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_2)
| 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_979,c_0_141]) ).
cnf(c_0_983,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_980,c_0_897]),c_0_981]),
[final] ).
cnf(c_0_984,negated_conjecture,
( product(e_4,e_5,e_5)
| 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_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_982]),c_0_135]) ).
cnf(c_0_985,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_983]),
[final] ).
cnf(c_0_986,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_984,c_0_938]),c_0_985]) ).
cnf(c_0_987,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_606,c_0_621]),
[final] ).
cnf(c_0_988,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_986]),c_0_987]) ).
cnf(c_0_989,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_988]) ).
cnf(c_0_990,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_989,c_0_970]) ).
cnf(c_0_991,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_990]),c_0_917])]),
[final] ).
cnf(c_0_992,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_991]),
[final] ).
cnf(c_0_993,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_650,c_0_920]) ).
cnf(c_0_994,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_780,c_0_897])]) ).
cnf(c_0_995,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_992,c_0_970]),
[final] ).
cnf(c_0_996,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_993,c_0_904]) ).
cnf(c_0_997,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_891,c_0_904]) ).
cnf(c_0_998,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_644]) ).
cnf(c_0_999,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_214,c_0_66]) ).
cnf(c_0_1000,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_582]),c_0_353]) ).
cnf(c_0_1001,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_994]),c_0_352]),
[final] ).
cnf(c_0_1002,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_223,c_0_995]),
[final] ).
cnf(c_0_1003,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_996]) ).
cnf(c_0_1004,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_997,c_0_942]),
[final] ).
cnf(c_0_1005,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_998,c_0_184]) ).
cnf(c_0_1006,negated_conjecture,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_999]) ).
cnf(c_0_1007,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_5,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_1001]),c_0_345]),c_0_89]) ).
cnf(c_0_1008,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_992,c_0_517]),c_0_1002]),
[final] ).
cnf(c_0_1009,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_642]),c_0_67]) ).
cnf(c_0_1010,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1003,c_0_1004]) ).
cnf(c_0_1011,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_4)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1005]),c_0_84]) ).
cnf(c_0_1012,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_377]),c_0_412]) ).
cnf(c_0_1013,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,e_4,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_167]),
[final] ).
cnf(c_0_1014,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1006]),c_0_61]) ).
cnf(c_0_1015,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_925,c_0_904]) ).
cnf(c_0_1016,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1007,c_0_995]),c_0_1008]) ).
cnf(c_0_1017,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_1010]),c_0_767]) ).
cnf(c_0_1018,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1011,c_0_1004]) ).
cnf(c_0_1019,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_500,c_0_803]) ).
cnf(c_0_1020,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_620]) ).
cnf(c_0_1021,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1012]),c_0_395]) ).
cnf(c_0_1022,negated_conjecture,
( 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)
| product(e_1,X1,e_2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_1013,c_0_172]) ).
cnf(c_0_1023,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1014,c_0_1015]),c_0_904]) ).
cnf(c_0_1024,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1016]),c_0_115]),
[final] ).
cnf(c_0_1025,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1017]) ).
cnf(c_0_1026,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_1018]),c_0_767]) ).
cnf(c_0_1027,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1019]),c_0_92]) ).
cnf(c_0_1028,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1020,c_0_1021]) ).
cnf(c_0_1029,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_1021]) ).
cnf(c_0_1030,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_969]),c_0_84]) ).
cnf(c_0_1031,negated_conjecture,
( product(e_1,e_1,e_2)
| 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_1022,c_0_62]) ).
cnf(c_0_1032,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_3,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_605,c_0_579]) ).
cnf(c_0_1033,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_1023,c_0_1024]) ).
cnf(c_0_1034,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1025,c_0_1026]),c_0_360]) ).
cnf(c_0_1035,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1027,c_0_1028]),c_0_412]),c_0_1029]) ).
cnf(c_0_1036,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1030,c_0_1004]) ).
cnf(c_0_1037,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_885,c_0_904]) ).
cnf(c_0_1038,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_667]),c_0_354]),
[final] ).
cnf(c_0_1039,negated_conjecture,
( 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_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1031]),c_0_353]) ).
cnf(c_0_1040,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_613,c_0_1032]) ).
cnf(c_0_1041,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_5,e_2,e_2)
| product(e_4,e_5,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_1033]) ).
cnf(c_0_1042,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1034]),c_0_767]) ).
cnf(c_0_1043,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1035,c_0_621]) ).
cnf(c_0_1044,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_1036]),c_0_767]) ).
cnf(c_0_1045,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1037,c_0_942]) ).
cnf(c_0_1046,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1038,c_0_925]) ).
cnf(c_0_1047,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_4)
| 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_1039,c_0_1040]) ).
cnf(c_0_1048,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_5)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1041]),c_0_348]) ).
cnf(c_0_1049,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1042]),c_0_1043]) ).
cnf(c_0_1050,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1044]),c_0_1045]) ).
cnf(c_0_1051,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_214,c_0_72]) ).
cnf(c_0_1052,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1046,c_0_904]) ).
cnf(c_0_1053,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1047]),c_0_451]) ).
cnf(c_0_1054,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1048]),c_0_345]),c_0_134]),
[final] ).
cnf(c_0_1055,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_805,c_0_1049]) ).
cnf(c_0_1056,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_271]) ).
cnf(c_0_1057,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1050]),c_0_767]) ).
cnf(c_0_1058,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_1051]) ).
cnf(c_0_1059,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1052]) ).
cnf(c_0_1060,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1053]),c_0_86]) ).
cnf(c_0_1061,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_949,c_0_1054]) ).
cnf(c_0_1062,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1055]) ).
cnf(c_0_1063,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1004]),
[final] ).
cnf(c_0_1064,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1056,c_0_1057]) ).
cnf(c_0_1065,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_1058]),c_0_64]) ).
cnf(c_0_1066,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1059,c_0_1049]) ).
cnf(c_0_1067,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_983]),c_0_117]),
[final] ).
cnf(c_0_1068,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1042]),c_0_354]),
[final] ).
cnf(c_0_1069,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1015]) ).
cnf(c_0_1070,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1060,c_0_377]) ).
cnf(c_0_1071,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1061]) ).
cnf(c_0_1072,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_747,c_0_691]) ).
cnf(c_0_1073,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1062,c_0_1004]) ).
cnf(c_0_1074,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1063,c_0_412]) ).
cnf(c_0_1075,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1064]),c_0_341]),c_0_354]),
[final] ).
cnf(c_0_1076,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1066]),c_0_904]),c_0_1067]),c_0_1068]),c_0_1069]),
[final] ).
cnf(c_0_1077,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_131,c_0_87]) ).
cnf(c_0_1078,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_5,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1070]) ).
cnf(c_0_1079,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_358,c_0_348]) ).
cnf(c_0_1080,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1072]),c_0_410]) ).
cnf(c_0_1081,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1073]),c_0_904]),c_0_1067]),c_0_1074]) ).
cnf(c_0_1082,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1075]),c_0_897])]),
[final] ).
cnf(c_0_1083,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_1076]),c_0_619]) ).
cnf(c_0_1084,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1077]) ).
cnf(c_0_1085,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_386]) ).
cnf(c_0_1086,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1078,c_0_1079]) ).
cnf(c_0_1087,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1080]),c_0_92]) ).
cnf(c_0_1088,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1081,c_0_1082]),
[final] ).
cnf(c_0_1089,negated_conjecture,
( product(e_2,e_1,e_2)
| 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)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1058]) ).
cnf(c_0_1090,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1083]),c_0_627]) ).
cnf(c_0_1091,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_955]) ).
cnf(c_0_1092,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1071,c_0_1004]) ).
cnf(c_0_1093,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1084,c_0_370]),c_0_1085]) ).
cnf(c_0_1094,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1086]),c_0_395]) ).
cnf(c_0_1095,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1087,c_0_1088]) ).
cnf(c_0_1096,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1089,c_0_1004]),c_0_904]) ).
cnf(c_0_1097,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1090]) ).
cnf(c_0_1098,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1091,c_0_1092]) ).
cnf(c_0_1099,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_1093]) ).
cnf(c_0_1100,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_117,c_0_1094]) ).
cnf(c_0_1101,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_614]) ).
cnf(c_0_1102,negated_conjecture,
( product(e_1,e_4,e_3)
| 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(sr,[status(thm)],[c_0_1058,c_0_904]) ).
cnf(c_0_1103,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1095]),c_0_897])]) ).
cnf(c_0_1104,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1051]) ).
cnf(c_0_1105,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1096,c_0_1067]) ).
cnf(c_0_1106,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1055]),c_0_410]) ).
cnf(c_0_1107,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1090]) ).
cnf(c_0_1108,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1097,c_0_1055]),
[final] ).
cnf(c_0_1109,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1098]),c_0_802]) ).
cnf(c_0_1110,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1099,c_0_606]),c_0_1100]) ).
cnf(c_0_1111,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1021]) ).
cnf(c_0_1112,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1101,c_0_1094]) ).
cnf(c_0_1113,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1102,c_0_1067]) ).
cnf(c_0_1114,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1103]),c_0_802]),
[final] ).
cnf(c_0_1115,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1104,c_0_1105]),c_0_1067]) ).
cnf(c_0_1116,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1106]) ).
cnf(c_0_1117,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1107,c_0_1076]) ).
cnf(c_0_1118,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1055]) ).
cnf(c_0_1119,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1108]) ).
cnf(c_0_1120,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1109]) ).
cnf(c_0_1121,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1110]) ).
cnf(c_0_1122,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1111,c_0_1112]) ).
cnf(c_0_1123,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1113,c_0_1082]) ).
cnf(c_0_1124,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1114]),c_0_227]),
[final] ).
cnf(c_0_1125,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_5,e_1)
| ~ product(X1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_1115]),c_0_64]) ).
cnf(c_0_1126,negated_conjecture,
( product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_691]),
[final] ).
cnf(c_0_1127,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1116,c_0_1092]) ).
cnf(c_0_1128,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1117]) ).
cnf(c_0_1129,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1118,c_0_918]),c_0_1119]) ).
cnf(c_0_1130,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1120,c_0_1004]),
[final] ).
cnf(c_0_1131,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1121,c_0_1122]) ).
cnf(c_0_1132,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1123,c_0_1124]),
[final] ).
cnf(c_0_1133,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_983]),c_0_619]) ).
cnf(c_0_1134,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_1126]),c_0_1115]) ).
cnf(c_0_1135,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1127]),c_0_802]) ).
cnf(c_0_1136,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_1,e_3)
| product(e_5,e_4,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1128,c_0_1129]) ).
cnf(c_0_1137,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1130]),
[final] ).
cnf(c_0_1138,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_223,c_0_1109]) ).
cnf(c_0_1139,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_218]) ).
cnf(c_0_1140,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1131,c_0_621]),
[final] ).
cnf(c_0_1141,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,X1,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_488]) ).
cnf(c_0_1142,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_2,e_4) ),
inference(sr,[status(thm)],[c_0_365,c_0_904]) ).
cnf(c_0_1143,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1132]),c_0_67]),
[final] ).
cnf(c_0_1144,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1133]),c_0_627]) ).
cnf(c_0_1145,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1134]) ).
cnf(c_0_1146,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1016]),c_0_341]),
[final] ).
cnf(c_0_1147,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1135]) ).
cnf(c_0_1148,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_3)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1136]),c_0_897])]) ).
cnf(c_0_1149,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1137,c_0_412]),c_0_1138]) ).
cnf(c_0_1150,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_569]),c_0_1139]) ).
cnf(c_0_1151,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1140]),c_0_132]),
[final] ).
cnf(c_0_1152,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1141,c_0_451]) ).
cnf(c_0_1153,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_514]) ).
cnf(c_0_1154,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_1142,c_0_1143]) ).
cnf(c_0_1155,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1144]) ).
cnf(c_0_1156,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_918]) ).
cnf(c_0_1157,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1145,c_0_1130]),c_0_360]),c_0_1138]),
[final] ).
cnf(c_0_1158,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_1077,c_0_1146]) ).
cnf(c_0_1159,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1147,c_0_1148]),c_0_1149]),
[final] ).
cnf(c_0_1160,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_174]),
[final] ).
cnf(c_0_1161,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1150,c_0_1151]) ).
cnf(c_0_1162,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1152]) ).
cnf(c_0_1163,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1153,c_0_451]) ).
cnf(c_0_1164,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1154]),c_0_115]),
[final] ).
cnf(c_0_1165,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1155,c_0_983]) ).
cnf(c_0_1166,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1156,c_0_1157]) ).
cnf(c_0_1167,negated_conjecture,
( product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_1,e_3,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1156,c_0_1158]) ).
cnf(c_0_1168,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1159]),c_0_1160]),c_0_227]),
[final] ).
cnf(c_0_1169,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1161,c_0_904]) ).
cnf(c_0_1170,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1162,c_0_451]) ).
cnf(c_0_1171,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1163]),c_0_195]),c_0_242]),
[final] ).
cnf(c_0_1172,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_999,c_0_1024]) ).
cnf(c_0_1173,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1164]),c_0_904]),
[final] ).
cnf(c_0_1174,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_1165]) ).
cnf(c_0_1175,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1166]) ).
cnf(c_0_1176,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_1134,c_0_1124]),
[final] ).
cnf(c_0_1177,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1167,c_0_1168]) ).
cnf(c_0_1178,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_3)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1129]),c_0_904]),c_0_1082]),c_0_1067]) ).
cnf(c_0_1179,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_589,c_0_897])]) ).
cnf(c_0_1180,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_1169]),c_0_941]) ).
cnf(c_0_1181,negated_conjecture,
( product(e_1,e_5,e_3)
| 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(sr,[status(thm)],[c_0_1006,c_0_904]) ).
cnf(c_0_1182,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_5,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_708]),c_0_420]) ).
cnf(c_0_1183,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_1170]),c_0_1171]) ).
cnf(c_0_1184,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_1172,c_0_1173]) ).
cnf(c_0_1185,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1174,c_0_991]),
[final] ).
cnf(c_0_1186,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1175,c_0_897]) ).
cnf(c_0_1187,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1176]),
[final] ).
cnf(c_0_1188,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1004]),
[final] ).
cnf(c_0_1189,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_842,c_0_1177]) ).
cnf(c_0_1190,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1178]),c_0_897])]) ).
cnf(c_0_1191,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1179]),c_0_1180]) ).
cnf(c_0_1192,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4)
| product(e_5,X1,e_5)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1057]) ).
cnf(c_0_1193,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_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1181,c_0_1024]) ).
cnf(c_0_1194,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_4)
| product(e_1,e_2,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1182]),c_0_517]) ).
cnf(c_0_1195,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1183,c_0_451]) ).
cnf(c_0_1196,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1184]) ).
cnf(c_0_1197,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1185]),
[final] ).
cnf(c_0_1198,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1186]),c_0_897])]),
[final] ).
cnf(c_0_1199,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_1188]),c_0_360]),
[final] ).
cnf(c_0_1200,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5)
| ~ product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_959]),c_0_117]) ).
cnf(c_0_1201,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1189]),c_0_897])]),
[final] ).
cnf(c_0_1202,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1190]),c_0_223]),
[final] ).
cnf(c_0_1203,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,X1,e_5)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1191]) ).
cnf(c_0_1204,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1192,c_0_517]),c_0_1024]) ).
cnf(c_0_1205,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1193,c_0_1173]) ).
cnf(c_0_1206,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1194,c_0_1195]) ).
cnf(c_0_1207,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_933,c_0_968]),
[final] ).
cnf(c_0_1208,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1196,c_0_991]),c_0_1002]),c_0_1197]),
[final] ).
cnf(c_0_1209,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1196,c_0_1198]),c_0_1199]) ).
cnf(c_0_1210,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_5,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_708]) ).
cnf(c_0_1211,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_909,c_0_942]) ).
cnf(c_0_1212,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1200,c_0_691]) ).
cnf(c_0_1213,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1148]) ).
cnf(c_0_1214,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1201]),c_0_1202]),
[final] ).
cnf(c_0_1215,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1203,c_0_1057]),c_0_619]),c_0_1204]) ).
cnf(c_0_1216,negated_conjecture,
( product(e_5,e_2,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1205]),c_0_341]),
[final] ).
cnf(c_0_1217,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_4)
| product(e_4,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1206]),c_0_350])]) ).
cnf(c_0_1218,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_323,c_0_621]),c_0_366]) ).
cnf(c_0_1219,plain,
( product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1207]),
[final] ).
cnf(c_0_1220,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1208]),
[final] ).
cnf(c_0_1221,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1209]),c_0_348]),
[final] ).
cnf(c_0_1222,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1210,c_0_941]) ).
cnf(c_0_1223,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_1211]),c_0_817]) ).
cnf(c_0_1224,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1212]) ).
cnf(c_0_1225,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1062,c_0_1148]) ).
cnf(c_0_1226,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1213,c_0_1214]),
[final] ).
cnf(c_0_1227,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1215]) ).
cnf(c_0_1228,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_994]),c_0_354]),
[final] ).
cnf(c_0_1229,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1216,c_0_1215]) ).
cnf(c_0_1230,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_5,e_5)
| 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(spm,[status(thm)],[c_0_957,c_0_1217]),c_0_486]) ).
cnf(c_0_1231,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1218,c_0_904]) ).
cnf(c_0_1232,plain,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1219]),
[final] ).
cnf(c_0_1233,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_310,c_0_904]),
[final] ).
cnf(c_0_1234,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1220,c_0_1221]),
[final] ).
cnf(c_0_1235,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1008]),
[final] ).
cnf(c_0_1236,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1222]) ).
cnf(c_0_1237,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1223]),c_0_802]) ).
cnf(c_0_1238,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_1212]),c_0_373]),c_0_1224]) ).
cnf(c_0_1239,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1225]) ).
cnf(c_0_1240,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_227,c_0_1226]),c_0_117]),
[final] ).
cnf(c_0_1241,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4)
| product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1227,c_0_1228]),c_0_1229]) ).
cnf(c_0_1242,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_4,e_2,e_2)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1230]) ).
cnf(c_0_1243,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1231]) ).
cnf(c_0_1244,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1232,c_0_1233]),
[final] ).
cnf(c_0_1245,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1234]),
[final] ).
cnf(c_0_1246,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_932]),
[final] ).
cnf(c_0_1247,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_1235,c_0_1221]),c_0_435]),
[final] ).
cnf(c_0_1248,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1231]),c_0_227]),
[final] ).
cnf(c_0_1249,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1236,c_0_1237]) ).
cnf(c_0_1250,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_1238]) ).
cnf(c_0_1251,plain,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_429]),
[final] ).
cnf(c_0_1252,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_184]),c_0_1240]) ).
cnf(c_0_1253,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1241]) ).
cnf(c_0_1254,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1241]) ).
cnf(c_0_1255,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_922]),
[final] ).
cnf(c_0_1256,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1242,c_0_691]) ).
cnf(c_0_1257,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_223,c_0_922]),
[final] ).
cnf(c_0_1258,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1045]),
[final] ).
cnf(c_0_1259,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1243,c_0_1244]) ).
cnf(c_0_1260,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1245,c_0_421]),
[final] ).
cnf(c_0_1261,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1246,c_0_1247]),c_0_1248]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1249]),c_0_904]) ).
cnf(c_0_1263,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_421]),
[final] ).
cnf(c_0_1264,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1251]),c_0_435]),
[final] ).
cnf(c_0_1265,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1252]),c_0_897])]),
[final] ).
cnf(c_0_1266,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_479]) ).
cnf(c_0_1267,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_55,c_0_174]),
[final] ).
cnf(c_0_1268,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1253,c_0_1057]),c_0_1254]) ).
cnf(c_0_1269,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1255,c_0_1256]),c_0_1257]),c_0_1258]) ).
cnf(c_0_1270,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_1260]),c_0_1143]),c_0_1261]),
[final] ).
cnf(c_0_1271,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1262]),c_0_132]),
[final] ).
cnf(c_0_1272,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_1263,c_0_1264]),c_0_435]),
[final] ).
cnf(c_0_1273,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1265]),
[final] ).
cnf(c_0_1274,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_1266,c_0_1219]) ).
cnf(c_0_1275,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1245,c_0_412]),c_0_1267]),
[final] ).
cnf(c_0_1276,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1268]),c_0_767]) ).
cnf(c_0_1277,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_5,e_5)
| 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_564,c_0_1269]) ).
cnf(c_0_1278,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_150]) ).
cnf(c_0_1279,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_259,c_0_1143]) ).
cnf(c_0_1280,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1260]),
[final] ).
cnf(c_0_1281,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1270]),c_0_1143]),c_0_904]),
[final] ).
cnf(c_0_1282,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1271,c_0_1272]),
[final] ).
cnf(c_0_1283,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1090]) ).
cnf(c_0_1284,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1273,c_0_1261]),c_0_404]),
[final] ).
cnf(c_0_1285,negated_conjecture,
( 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(spm,[status(thm)],[c_0_1274,c_0_1275]),c_0_1055]) ).
cnf(c_0_1286,negated_conjecture,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1276]),c_0_767]),
[final] ).
cnf(c_0_1287,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_5,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1277]),c_0_92]) ).
cnf(c_0_1288,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_152,c_0_1180]) ).
cnf(c_0_1289,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1132]),
[final] ).
cnf(c_0_1290,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_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1278,c_0_204]) ).
cnf(c_0_1291,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_352,c_0_479]) ).
cnf(c_0_1292,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_1279]) ).
cnf(c_0_1293,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1270]),
[final] ).
cnf(c_0_1294,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1280,c_0_1281]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1119,c_0_1282]),c_0_1267]),
[final] ).
cnf(c_0_1296,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_1283,c_0_1284]),c_0_404]),
[final] ).
cnf(c_0_1297,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1285]),c_0_1286])]),
[final] ).
cnf(c_0_1298,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_600,c_0_904]),
[final] ).
cnf(c_0_1299,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1287,c_0_1180]) ).
cnf(c_0_1300,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1288]),c_0_627]) ).
cnf(c_0_1301,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1289,c_0_184]) ).
cnf(c_0_1302,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1290]),c_0_352]) ).
cnf(c_0_1303,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_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1291,c_0_204]) ).
cnf(c_0_1304,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_646]),c_0_352]) ).
cnf(c_0_1305,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1292,c_0_1008]) ).
cnf(c_0_1306,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1293,c_0_1294]),c_0_1295]),
[final] ).
cnf(c_0_1307,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_1296]),
[final] ).
cnf(c_0_1308,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1297]),
[final] ).
cnf(c_0_1309,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1298]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1299]),c_0_1300]) ).
cnf(c_0_1311,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_1130]),c_0_360]),c_0_1138]),
[final] ).
cnf(c_0_1312,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1301]),c_0_897])]) ).
cnf(c_0_1313,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_130]),
[final] ).
cnf(c_0_1314,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1302,c_0_1303]),c_0_1304]) ).
cnf(c_0_1315,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_708,c_0_1143]),c_0_1305]) ).
cnf(c_0_1316,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1306]),c_0_1307]),
[final] ).
cnf(c_0_1317,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_4,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1308]),
[final] ).
cnf(c_0_1318,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1309,c_0_1310]),c_0_862]) ).
cnf(c_0_1319,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_1311]),c_0_242]),
[final] ).
cnf(c_0_1320,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1312]),c_0_1088]),
[final] ).
cnf(c_0_1321,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_130]),c_0_112]),c_0_1313]) ).
cnf(c_0_1322,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1314]),c_0_223]),c_0_354]),
[final] ).
cnf(c_0_1323,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1315,c_0_1316]),
[final] ).
cnf(c_0_1324,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1317,c_0_1004]),
[final] ).
cnf(c_0_1325,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1309,c_0_1318]),c_0_1319]),
[final] ).
cnf(c_0_1326,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1320]),c_0_223]),
[final] ).
cnf(c_0_1327,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1071,c_0_1001]),c_0_92]) ).
cnf(c_0_1328,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1321,c_0_139]) ).
cnf(c_0_1329,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1322,c_0_1015]) ).
cnf(c_0_1330,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1306]),
[final] ).
cnf(c_0_1331,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1323]),
[final] ).
cnf(c_0_1332,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_569,c_0_1151]) ).
cnf(c_0_1333,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1324,c_0_184]) ).
cnf(c_0_1334,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1325]),
[final] ).
cnf(c_0_1335,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1061,c_0_1326]),
[final] ).
cnf(c_0_1336,plain,
( product(e_4,e_5,e_5)
| 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_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_971]) ).
cnf(c_0_1337,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_3,e_3)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1327,c_0_995]) ).
cnf(c_0_1338,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1231,c_0_1143]),
[final] ).
cnf(c_0_1339,negated_conjecture,
( 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_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1328]),c_0_404]),c_0_283]) ).
cnf(c_0_1340,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_915,c_0_904]),
[final] ).
cnf(c_0_1341,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_1329]),c_0_943]) ).
cnf(c_0_1342,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_227,c_0_1159]),c_0_117]),
[final] ).
cnf(c_0_1343,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_1330,c_0_1331]),c_0_1235]),
[final] ).
cnf(c_0_1344,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_1332]) ).
cnf(c_0_1345,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1333]),c_0_897])]),
[final] ).
cnf(c_0_1346,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_4,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1334,c_0_1335]) ).
cnf(c_0_1347,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| 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_1336,c_0_189]) ).
cnf(c_0_1348,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_964,c_0_1337]),c_0_802]),
[final] ).
cnf(c_0_1349,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1338]),
[final] ).
cnf(c_0_1350,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_5,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1092]) ).
cnf(c_0_1351,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_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1339,c_0_259]) ).
cnf(c_0_1352,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_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_485,c_0_259]) ).
cnf(c_0_1353,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1266,c_0_970]) ).
cnf(c_0_1354,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1340]),
[final] ).
cnf(c_0_1355,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_1341]),c_0_767]) ).
cnf(c_0_1356,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1342,c_0_1343]),
[final] ).
cnf(c_0_1357,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_242,c_0_1331]),
[final] ).
cnf(c_0_1358,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_1331]),
[final] ).
cnf(c_0_1359,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1344,c_0_1247]),c_0_1191]) ).
cnf(c_0_1360,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1345]),c_0_92]),c_0_353]),
[final] ).
cnf(c_0_1361,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_664]) ).
cnf(c_0_1362,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1346]),c_0_86]) ).
cnf(c_0_1363,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_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)
| product(e_5,X1,e_5)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1347]) ).
cnf(c_0_1364,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1157]),
[final] ).
cnf(c_0_1365,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1348]),
[final] ).
cnf(c_0_1366,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1210,c_0_1349]),c_0_1143]),c_0_1235]) ).
cnf(c_0_1367,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1350,c_0_412]),c_0_1135]) ).
cnf(c_0_1368,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| 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_4) ),
inference(spm,[status(thm)],[c_0_110,c_0_1351]) ).
cnf(c_0_1369,negated_conjecture,
( 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)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1352]) ).
cnf(c_0_1370,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1353]) ).
cnf(c_0_1371,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1230,c_0_1124]) ).
cnf(c_0_1372,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1323]),
[final] ).
cnf(c_0_1373,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_1275]),c_0_1143]),
[final] ).
cnf(c_0_1374,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1354,c_0_1355]),c_0_112]) ).
cnf(c_0_1375,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1351]),c_0_223]) ).
cnf(c_0_1376,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_1356]),c_0_1357]),c_0_1358]),
[final] ).
cnf(c_0_1377,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1359,c_0_1360]) ).
cnf(c_0_1378,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_748]),c_0_671]) ).
cnf(c_0_1379,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1362,c_0_1315]) ).
cnf(c_0_1380,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1363,c_0_520]),c_0_942]),c_0_1054]),c_0_1024]) ).
cnf(c_0_1381,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_1349]),
[final] ).
cnf(c_0_1382,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_1364,c_0_1207]),
[final] ).
cnf(c_0_1383,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_1365]),
[final] ).
cnf(c_0_1384,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1366,c_0_1221]) ).
cnf(c_0_1385,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1367]),c_0_802]) ).
cnf(c_0_1386,negated_conjecture,
( product(e_2,e_3,e_4)
| 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_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1368,c_0_421]) ).
cnf(c_0_1387,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1335]),
[final] ).
cnf(c_0_1388,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1369,c_0_1286])]),c_0_1143]) ).
cnf(c_0_1389,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1144]) ).
cnf(c_0_1390,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1370,c_0_691]) ).
cnf(c_0_1391,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1371]) ).
cnf(c_0_1392,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1372,c_0_1373]),c_0_404]),
[final] ).
cnf(c_0_1393,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_1374]),c_0_84]),
[final] ).
cnf(c_0_1394,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1375,c_0_1376]),c_0_1143]),c_0_1316]) ).
cnf(c_0_1395,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_1373]),c_0_1143]),c_0_904]),c_0_404]),
[final] ).
cnf(c_0_1396,negated_conjecture,
( product(e_5,e_5,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_1377]),
[final] ).
cnf(c_0_1397,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1205]) ).
cnf(c_0_1398,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1378]),c_0_89]),c_0_117]) ).
cnf(c_0_1399,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1379]),c_0_904]) ).
cnf(c_0_1400,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1380,c_0_1326]),c_0_1240]) ).
cnf(c_0_1401,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1381,c_0_1382]),c_0_1383]),
[final] ).
cnf(c_0_1402,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1384]),c_0_904]) ).
cnf(c_0_1403,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1221]),
[final] ).
cnf(c_0_1404,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1385,c_0_1124]),
[final] ).
cnf(c_0_1405,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1386,c_0_1143]),c_0_1305]) ).
cnf(c_0_1406,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_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_223,c_0_204]) ).
cnf(c_0_1407,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1387,c_0_1388]),c_0_410]) ).
cnf(c_0_1408,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1389,c_0_1390]) ).
cnf(c_0_1409,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_634,c_0_483]) ).
cnf(c_0_1410,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1391,c_0_1286])]) ).
cnf(c_0_1411,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1392]),c_0_1393]),
[final] ).
cnf(c_0_1412,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_1394,c_0_1395]),c_0_1090]),
[final] ).
cnf(c_0_1413,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1331]),
[final] ).
cnf(c_0_1414,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_1294]),
[final] ).
cnf(c_0_1415,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_1396]),
[final] ).
cnf(c_0_1416,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1397,c_0_1297]) ).
cnf(c_0_1417,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1398,c_0_787]),c_0_790]) ).
cnf(c_0_1418,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1399]),c_0_132]),
[final] ).
cnf(c_0_1419,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_3,e_2)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1400]),c_0_1286])]) ).
cnf(c_0_1420,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1401]),
[final] ).
cnf(c_0_1421,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1402]) ).
cnf(c_0_1422,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1403,c_0_1404]),c_0_424]),
[final] ).
cnf(c_0_1423,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_719]),c_0_132]) ).
cnf(c_0_1424,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1405]) ).
cnf(c_0_1425,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_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1406,c_0_259]) ).
cnf(c_0_1426,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(spm,[status(thm)],[c_0_352,c_0_1407]),c_0_67]),c_0_223]),
[final] ).
cnf(c_0_1427,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1408]),c_0_353]) ).
cnf(c_0_1428,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_1409]) ).
cnf(c_0_1429,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_744]),c_0_64]) ).
cnf(c_0_1430,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1410]) ).
cnf(c_0_1431,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_271,c_0_1411]),
[final] ).
cnf(c_0_1432,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_1006]),c_0_64]) ).
cnf(c_0_1433,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1412]),
[final] ).
cnf(c_0_1434,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1219]),
[final] ).
cnf(c_0_1435,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1413,c_0_1281]) ).
cnf(c_0_1436,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1414,c_0_1404]),
[final] ).
cnf(c_0_1437,negated_conjecture,
( ~ product(e_5,e_3,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1415,c_0_1228]),
[final] ).
cnf(c_0_1438,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1416]),c_0_354]),
[final] ).
cnf(c_0_1439,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_1417]),c_0_115]),
[final] ).
cnf(c_0_1440,plain,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_1335]),c_0_1418]) ).
cnf(c_0_1441,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1419]),c_0_1114]),
[final] ).
cnf(c_0_1442,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1420,c_0_1221]),
[final] ).
cnf(c_0_1443,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1421,c_0_1422]),
[final] ).
cnf(c_0_1444,negated_conjecture,
( product(e_4,e_1,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1423,c_0_1272]),c_0_1267]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1424,c_0_1388]) ).
cnf(c_0_1446,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1425,c_0_1143]),c_0_1426]) ).
cnf(c_0_1447,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1412]),
[final] ).
cnf(c_0_1448,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_1297]),
[final] ).
cnf(c_0_1449,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1427,c_0_991]),
[final] ).
cnf(c_0_1450,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_167]),
[final] ).
cnf(c_0_1451,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_1417]),c_0_1429]) ).
cnf(c_0_1452,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1430,c_0_1228]),
[final] ).
cnf(c_0_1453,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_1431]),
[final] ).
cnf(c_0_1454,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1433]),c_0_904]),c_0_1173]),c_0_1024]),c_0_341]),
[final] ).
cnf(c_0_1455,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_1158,c_0_1168]),
[final] ).
cnf(c_0_1456,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_955,c_0_1326]) ).
cnf(c_0_1457,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1434,c_0_1260]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1435,c_0_1436]),
[final] ).
cnf(c_0_1459,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_577]) ).
cnf(c_0_1460,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1216,c_0_1396]),c_0_1437]),
[final] ).
cnf(c_0_1461,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1438,c_0_1439]),c_0_223]),
[final] ).
cnf(c_0_1462,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1440]),c_0_1441]) ).
cnf(c_0_1463,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_1443]),c_0_1444]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1445,c_0_1316]) ).
cnf(c_0_1465,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1446,c_0_1316]) ).
cnf(c_0_1466,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1447]),c_0_1448]),
[final] ).
cnf(c_0_1467,negated_conjecture,
( product(e_3,e_2,e_5)
| 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_564,c_0_1449]) ).
cnf(c_0_1468,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_139]),c_0_1450]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1451]) ).
cnf(c_0_1470,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_1293,c_0_1335]),c_0_1295]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1397,c_0_1410]),c_0_1452]) ).
cnf(c_0_1472,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1453]),c_0_897])]),
[final] ).
cnf(c_0_1473,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1310,c_0_1454]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_932]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1455]),
[final] ).
cnf(c_0_1476,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_171]),c_0_435]),c_0_1160]),c_0_402]),
[final] ).
cnf(c_0_1477,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_1456]),c_0_67]),
[final] ).
cnf(c_0_1478,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1412]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1457,c_0_1458]),c_0_1444]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1280,c_0_1323]),c_0_420]) ).
cnf(c_0_1481,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1412]),c_0_1460]),c_0_1461]),c_0_410]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_5,e_3,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1001]),
[final] ).
cnf(c_0_1483,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1462]),c_0_1168]),
[final] ).
cnf(c_0_1484,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_1455]) ).
cnf(c_0_1485,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_1261]),
[final] ).
cnf(c_0_1486,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_353,c_0_1158]) ).
cnf(c_0_1487,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1463]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1383,c_0_1395]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_1464]) ).
cnf(c_0_1490,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1154,c_0_1316]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1465,c_0_1466]),
[final] ).
cnf(c_0_1492,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1279,c_0_1316]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1467]),c_0_1144]) ).
cnf(c_0_1494,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_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1468,c_0_172]),c_0_564]) ).
cnf(c_0_1495,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1469,c_0_421]) ).
cnf(c_0_1496,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_1470]),c_0_67]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1471,c_0_1472]),
[final] ).
cnf(c_0_1498,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1473]),c_0_1460]),c_0_1461]),c_0_410]),c_0_1474]),
[final] ).
cnf(c_0_1499,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1475,c_0_204]),c_0_1476]),c_0_1477]) ).
cnf(c_0_1500,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1478,c_0_1479]),c_0_1296]),
[final] ).
cnf(c_0_1501,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1480]),c_0_132]),
[final] ).
cnf(c_0_1502,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1481]),c_0_904]),c_0_1173]),c_0_1024]),
[final] ).
cnf(c_0_1503,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1482,c_0_1483]),
[final] ).
cnf(c_0_1504,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_1484,c_0_1247]),c_0_1485]),
[final] ).
cnf(c_0_1505,plain,
( 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_1486,c_0_1207]) ).
cnf(c_0_1506,negated_conjecture,
( product(e_1,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1487,c_0_1275]),c_0_1488]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1481]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1489,c_0_1343]),c_0_1490]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1491]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1290]),c_0_223]) ).
cnf(c_0_1511,plain,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_1492]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1493]),c_0_1144]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1073]) ).
cnf(c_0_1514,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1494]),c_0_354]) ).
cnf(c_0_1515,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1494]),c_0_352]) ).
cnf(c_0_1516,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_693,c_0_1218]) ).
cnf(c_0_1517,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1495]),c_0_363]) ).
cnf(c_0_1518,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_204,c_0_1496]) ).
cnf(c_0_1519,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1497]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1498]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1499,c_0_1466]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1500]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1502]),
[final] ).
cnf(c_0_1524,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1503,c_0_1504]),c_0_1326]),
[final] ).
cnf(c_0_1525,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_4,e_3,e_3)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1063,c_0_1505]) ).
cnf(c_0_1526,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_404,c_0_1506]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1507,c_0_1508]),c_0_1509]),
[final] ).
cnf(c_0_1528,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1511]),c_0_1496]),c_0_1512]) ).
cnf(c_0_1529,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1513,c_0_184]),c_0_1240]) ).
cnf(c_0_1530,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_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1514,c_0_259]) ).
cnf(c_0_1531,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_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1515,c_0_204]) ).
cnf(c_0_1532,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1516]) ).
cnf(c_0_1533,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_577]) ).
cnf(c_0_1534,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_5,e_5)
| 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(spm,[status(thm)],[c_0_957,c_0_446]),c_0_486]) ).
cnf(c_0_1535,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_1161]),c_0_74]) ).
cnf(c_0_1536,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_862,c_0_908]) ).
cnf(c_0_1537,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_207]) ).
cnf(c_0_1538,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_3,X1,e_3)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_263]) ).
cnf(c_0_1539,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1505]) ).
cnf(c_0_1540,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1517]),c_0_345]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1198]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1518,c_0_1466]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1519,c_0_184]) ).
cnf(c_0_1544,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1520,c_0_1473]),
[final] ).
cnf(c_0_1545,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_223,c_0_1521]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1522,c_0_1508]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1500]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1523]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1362,c_0_1511]),c_0_1524]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1525,c_0_1168]) ).
cnf(c_0_1551,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1527]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1481]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1528]),c_0_352]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1529]),c_0_897])]),
[final] ).
cnf(c_0_1555,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1530]),c_0_352]),c_0_223]) ).
cnf(c_0_1556,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1531]),c_0_354]),c_0_223]) ).
cnf(c_0_1557,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1532,c_0_218]),c_0_360]) ).
cnf(c_0_1558,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1025,c_0_941]),c_0_368]) ).
cnf(c_0_1559,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_1533]) ).
cnf(c_0_1560,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_638]),c_0_115]) ).
cnf(c_0_1561,negated_conjecture,
( 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_89,c_0_218]) ).
cnf(c_0_1562,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1534]) ).
cnf(c_0_1563,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1535,c_0_1536]) ).
cnf(c_0_1564,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[c_0_370,c_0_621]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_446]) ).
cnf(c_0_1566,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_494,c_0_521]) ).
cnf(c_0_1567,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_442]),c_0_368]),c_0_366]) ).
cnf(c_0_1568,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1065,c_0_498]) ).
cnf(c_0_1569,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_399]),c_0_177]) ).
cnf(c_0_1570,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1537,c_0_322]) ).
cnf(c_0_1571,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1538,c_0_141]) ).
cnf(c_0_1572,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1297]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1539,c_0_421]),c_0_1540]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1479]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1541,c_0_1542]),c_0_1376]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1543]),c_0_897])]),
[final] ).
cnf(c_0_1577,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1544]),c_0_227]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1545,c_0_1546]),c_0_1547]),
[final] ).
cnf(c_0_1579,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_1548,c_0_1549]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1208]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1091,c_0_1550]) ).
cnf(c_0_1582,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1177]) ).
cnf(c_0_1583,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1226]),c_0_1460]),c_0_1461]),c_0_1551]),c_0_1552]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1553]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_473,c_0_1554]) ).
cnf(c_0_1586,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1273,c_0_1270]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1555,c_0_1425]),c_0_1556]) ).
cnf(c_0_1588,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1557,c_0_904]) ).
cnf(c_0_1589,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1558]),c_0_767]) ).
cnf(c_0_1590,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1559,c_0_323]),c_0_366]),c_0_1560]),c_0_1561]) ).
cnf(c_0_1591,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_1126]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1504]),c_0_1326]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1562,c_0_691]) ).
cnf(c_0_1594,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1563,c_0_904]) ).
cnf(c_0_1595,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_341,c_0_1564]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_736]) ).
cnf(c_0_1597,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_873]) ).
cnf(c_0_1598,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1565,c_0_518]) ).
cnf(c_0_1599,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1566]),c_0_195]),c_0_114]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1567]) ).
cnf(c_0_1601,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_5,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_454,c_0_1568]) ).
cnf(c_0_1602,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1569]),c_0_184]) ).
cnf(c_0_1603,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1570]),c_0_257]) ).
cnf(c_0_1604,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1571]) ).
cnf(c_0_1605,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1572,c_0_1331]) ).
cnf(c_0_1606,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1573]),
[final] ).
cnf(c_0_1607,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_1574,c_0_1207]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_1575]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_1576]),c_0_1577]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1578]),
[final] ).
cnf(c_0_1611,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_1579,c_0_1365]),c_0_345]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1483]),c_0_621]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1581]),c_0_802]) ).
cnf(c_0_1614,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1582,c_0_897]) ).
cnf(c_0_1615,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1430,c_0_1001]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1271,c_0_1583]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1584,c_0_1297]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1213,c_0_1585]) ).
cnf(c_0_1619,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1283,c_0_1586]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_1587,c_0_1143]) ).
cnf(c_0_1621,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1588]) ).
cnf(c_0_1622,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1589]),c_0_961]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1590,c_0_621]) ).
cnf(c_0_1624,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1591,c_0_922]),
[final] ).
cnf(c_0_1625,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_1592]),
[final] ).
cnf(c_0_1626,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1345]),
[final] ).
cnf(c_0_1627,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_4,e_4,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1593]),c_0_84]) ).
cnf(c_0_1628,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| product(e_5,X1,e_5)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1594]) ).
cnf(c_0_1629,plain,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_429]),
[final] ).
cnf(c_0_1630,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1595]),
[final] ).
cnf(c_0_1631,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1596,c_0_721]) ).
cnf(c_0_1632,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1597,c_0_625]) ).
cnf(c_0_1633,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3)
| product(e_4,e_4,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1598]),c_0_117]) ).
cnf(c_0_1634,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1599,c_0_483]),c_0_517]) ).
cnf(c_0_1635,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_498]) ).
cnf(c_0_1636,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_498]) ).
cnf(c_0_1637,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1600,c_0_1601]) ).
cnf(c_0_1638,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1602]),c_0_114]) ).
cnf(c_0_1639,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1603]) ).
cnf(c_0_1640,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1604,c_0_141]),c_0_250]) ).
cnf(c_0_1641,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1605,c_0_1395]),c_0_1225]),
[final] ).
cnf(c_0_1642,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1606,c_0_1607]),
[final] ).
cnf(c_0_1643,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1234]),
[final] ).
cnf(c_0_1644,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1608,c_0_1323]),
[final] ).
cnf(c_0_1645,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_1199,c_0_1609]),
[final] ).
cnf(c_0_1646,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1611]),
[final] ).
cnf(c_0_1647,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1554]),c_0_354]),
[final] ).
cnf(c_0_1648,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1612]),
[final] ).
cnf(c_0_1649,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1613]) ).
cnf(c_0_1650,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1614]),c_0_897])]),
[final] ).
cnf(c_0_1651,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_817,c_0_1114]),
[final] ).
cnf(c_0_1652,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_1616]),c_0_1472]),c_0_1617]),
[final] ).
cnf(c_0_1653,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1283,c_0_1618]) ).
cnf(c_0_1654,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1619]),
[final] ).
cnf(c_0_1655,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1620,c_0_1496]),c_0_1316]) ).
cnf(c_0_1656,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_933]),c_0_1622]) ).
cnf(c_0_1657,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_1623,c_0_904]) ).
cnf(c_0_1658,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1255,c_0_1113]),c_0_1257]),c_0_1624]),
[final] ).
cnf(c_0_1659,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1076]),
[final] ).
cnf(c_0_1660,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1583]),c_0_1625]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1626,c_0_1270]),
[final] ).
cnf(c_0_1662,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_842,c_0_1166]) ).
cnf(c_0_1663,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1021]),c_0_134]),
[final] ).
cnf(c_0_1664,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| 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_984,c_0_386]) ).
cnf(c_0_1665,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1505,c_0_1168]),
[final] ).
cnf(c_0_1666,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1627,c_0_796]) ).
cnf(c_0_1667,plain,
( product(e_4,e_2,e_4)
| 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_1051,c_0_1067]) ).
cnf(c_0_1668,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1628,c_0_1057]),c_0_619]),c_0_1204]) ).
cnf(c_0_1669,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1250,c_0_1629]),c_0_1630]),
[final] ).
cnf(c_0_1670,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_732]),
[final] ).
cnf(c_0_1671,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_1263,c_0_1631]),
[final] ).
cnf(c_0_1672,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_700]) ).
cnf(c_0_1673,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1632]) ).
cnf(c_0_1674,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1633,c_0_1634]) ).
cnf(c_0_1675,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_521]),c_0_117]) ).
cnf(c_0_1676,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_436]) ).
cnf(c_0_1677,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1600,c_0_488]),c_0_1635]) ).
cnf(c_0_1678,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1636]),c_0_354]) ).
cnf(c_0_1679,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1637]),c_0_433]) ).
cnf(c_0_1680,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1638,c_0_125]) ).
cnf(c_0_1681,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1351]),c_0_354]) ).
cnf(c_0_1682,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1639,c_0_1640]) ).
cnf(c_0_1683,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1641]),
[final] ).
cnf(c_0_1684,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1207]),
[final] ).
cnf(c_0_1685,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1642]),c_0_1625]),
[final] ).
cnf(c_0_1686,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1643,c_0_1208]),
[final] ).
cnf(c_0_1687,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1644]),
[final] ).
cnf(c_0_1688,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_1342,c_0_1645]),
[final] ).
cnf(c_0_1689,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1646]),c_0_1326]),
[final] ).
cnf(c_0_1690,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1551]),c_0_1647]),
[final] ).
cnf(c_0_1691,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1648,c_0_1004]),
[final] ).
cnf(c_0_1692,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1649,c_0_1004]),
[final] ).
cnf(c_0_1693,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1650]),c_0_1326]),
[final] ).
cnf(c_0_1694,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1651]),
[final] ).
cnf(c_0_1695,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1652]),
[final] ).
cnf(c_0_1696,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_1653]) ).
cnf(c_0_1697,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1654,c_0_1308]),
[final] ).
cnf(c_0_1698,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1655,c_0_1466]),
[final] ).
cnf(c_0_1699,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1656]),c_0_132]) ).
cnf(c_0_1700,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1657]),c_0_1658]) ).
cnf(c_0_1701,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_632,c_0_1411]) ).
cnf(c_0_1702,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1201]),
[final] ).
cnf(c_0_1703,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1659,c_0_1660]),c_0_736]),
[final] ).
cnf(c_0_1704,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1661]),
[final] ).
cnf(c_0_1705,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1564]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1662]),c_0_897])]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1117]) ).
cnf(c_0_1708,negated_conjecture,
( product(e_4,e_5,e_3)
| 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_564,c_0_1641]) ).
cnf(c_0_1709,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1377,c_0_1454]),
[final] ).
cnf(c_0_1710,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_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1663,c_0_1664]) ).
cnf(c_0_1711,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1665]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_4,e_4,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1666,c_0_802]) ).
cnf(c_0_1713,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_242,c_0_1286]),
[final] ).
cnf(c_0_1714,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_1667,c_0_1082]) ).
cnf(c_0_1715,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1216,c_0_1668]) ).
cnf(c_0_1716,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1116,c_0_1088]) ).
cnf(c_0_1717,negated_conjecture,
( product(e_5,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1263,c_0_1669]),c_0_1630]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,X1,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_843]) ).
cnf(c_0_1719,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_1670,c_0_1671]),
[final] ).
cnf(c_0_1720,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1672,c_0_639]) ).
cnf(c_0_1721,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1673,c_0_520]) ).
cnf(c_0_1722,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_747,c_0_1674]),c_0_1675]) ).
cnf(c_0_1723,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1567]) ).
cnf(c_0_1724,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1676,c_0_1677]) ).
cnf(c_0_1725,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1678,c_0_1679]) ).
cnf(c_0_1726,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1680]),c_0_135]) ).
cnf(c_0_1727,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1375,c_0_1425]) ).
cnf(c_0_1728,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_1352]),c_0_223]) ).
cnf(c_0_1729,negated_conjecture,
( 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_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1681,c_0_1352]) ).
cnf(c_0_1730,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1682]),c_0_141]) ).
cnf(c_0_1731,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1683,c_0_1188]),
[final] ).
cnf(c_0_1732,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1684,c_0_1502]),c_0_1685]),
[final] ).
cnf(c_0_1733,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1293,c_0_1686]),
[final] ).
cnf(c_0_1734,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1687,c_0_1688]),
[final] ).
cnf(c_0_1735,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_1689]),
[final] ).
cnf(c_0_1736,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1502]),
[final] ).
cnf(c_0_1737,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_1205,c_0_1690]),
[final] ).
cnf(c_0_1738,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1683,c_0_1691]),
[final] ).
cnf(c_0_1739,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1683,c_0_1692]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1683,c_0_1693]),
[final] ).
cnf(c_0_1741,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1694,c_0_1188]),c_0_360]),
[final] ).
cnf(c_0_1742,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1695,c_0_1188]),
[final] ).
cnf(c_0_1743,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1696]),c_0_1286])]) ).
cnf(c_0_1744,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1697,c_0_1578]),
[final] ).
cnf(c_0_1745,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1698]),c_0_1460]),c_0_1461]),c_0_410]),
[final] ).
cnf(c_0_1746,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_564,c_0_1308]),
[final] ).
cnf(c_0_1747,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1699,c_0_1700]) ).
cnf(c_0_1748,negated_conjecture,
( product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1701]),c_0_74]),
[final] ).
cnf(c_0_1749,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1617]),
[final] ).
cnf(c_0_1750,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1702,c_0_1703]),c_0_1392]),
[final] ).
cnf(c_0_1751,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1704,c_0_1705]),c_0_1124]),c_0_352]),
[final] ).
cnf(c_0_1752,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1157]),
[final] ).
cnf(c_0_1753,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1208]),
[final] ).
cnf(c_0_1754,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1119,c_0_1706]) ).
cnf(c_0_1755,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1145,c_0_1126]),c_0_373]),c_0_242]),
[final] ).
cnf(c_0_1756,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_223,c_0_1443]),
[final] ).
cnf(c_0_1757,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_1707,c_0_1282]),c_0_1267]),
[final] ).
cnf(c_0_1758,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1507,c_0_1641]),
[final] ).
cnf(c_0_1759,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_5,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1708]),c_0_1709])]) ).
cnf(c_0_1760,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1710]),c_0_135]) ).
cnf(c_0_1761,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1665]),
[final] ).
cnf(c_0_1762,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1659,c_0_1207]) ).
cnf(c_0_1763,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1711,c_0_412]) ).
cnf(c_0_1764,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_361,c_0_971]) ).
cnf(c_0_1765,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1399]) ).
cnf(c_0_1766,plain,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_1335]),
[final] ).
cnf(c_0_1767,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1553]),
[final] ).
cnf(c_0_1768,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_1330,c_0_1392]),c_0_404]),
[final] ).
cnf(c_0_1769,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_1221]),c_0_1054]),
[final] ).
cnf(c_0_1770,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1712,c_0_1713]) ).
cnf(c_0_1771,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1108]),c_0_904]),c_0_1024]) ).
cnf(c_0_1772,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_918]),c_0_227]),
[final] ).
cnf(c_0_1773,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_1184]) ).
cnf(c_0_1774,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1714,c_0_1124]),
[final] ).
cnf(c_0_1775,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1088]),
[final] ).
cnf(c_0_1776,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| 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_957,c_0_483]),c_0_1054]),c_0_654]) ).
cnf(c_0_1777,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1715]),c_0_348]) ).
cnf(c_0_1778,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_747,c_0_1045]) ).
cnf(c_0_1779,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1283,c_0_1159]),c_0_1149]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_1716]),c_0_802]) ).
cnf(c_0_1781,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_805,c_0_1045]) ).
cnf(c_0_1782,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1271,c_0_1717]),
[final] ).
cnf(c_0_1783,plain,
( ~ product(e_2,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_1629]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| 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_203,c_0_483]) ).
cnf(c_0_1785,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_790,c_0_908]) ).
cnf(c_0_1786,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1718,c_0_421]) ).
cnf(c_0_1787,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_536]) ).
cnf(c_0_1788,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_782]),c_0_84]),
[final] ).
cnf(c_0_1789,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1719]),
[final] ).
cnf(c_0_1790,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1720]) ).
cnf(c_0_1791,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_625]) ).
cnf(c_0_1792,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_220,c_0_1721]) ).
cnf(c_0_1793,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_786]),c_0_475]) ).
cnf(c_0_1794,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1040]) ).
cnf(c_0_1795,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1722]),c_0_67]) ).
cnf(c_0_1796,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1723,c_0_1724]) ).
cnf(c_0_1797,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_1725]) ).
cnf(c_0_1798,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_115,c_0_1677]) ).
cnf(c_0_1799,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_442]) ).
cnf(c_0_1800,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_617]),c_0_134]) ).
cnf(c_0_1801,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_1019]) ).
cnf(c_0_1802,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1726,c_0_141]) ).
cnf(c_0_1803,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1727]),c_0_354]),c_0_352]) ).
cnf(c_0_1804,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1728,c_0_1425]) ).
cnf(c_0_1805,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1729]),c_0_223]),c_0_352]) ).
cnf(c_0_1806,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_1730]),c_0_261]) ).
cnf(c_0_1807,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1731,c_0_1732]),
[final] ).
cnf(c_0_1808,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1733]),
[final] ).
cnf(c_0_1809,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1734]),c_0_1735]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1736,c_0_1737]),
[final] ).
cnf(c_0_1811,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1233]),
[final] ).
cnf(c_0_1812,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_227,c_0_1738]),c_0_117]),
[final] ).
cnf(c_0_1813,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1609]),
[final] ).
cnf(c_0_1814,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_227,c_0_1739]),c_0_117]),
[final] ).
cnf(c_0_1815,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_227,c_0_1740]),c_0_117]),
[final] ).
cnf(c_0_1816,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_1741,c_0_1609]),
[final] ).
cnf(c_0_1817,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1742,c_0_1609]),
[final] ).
cnf(c_0_1818,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1743]) ).
cnf(c_0_1819,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1744]),
[final] ).
cnf(c_0_1820,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1745]),
[final] ).
cnf(c_0_1821,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1746,c_0_1578]) ).
cnf(c_0_1822,negated_conjecture,
( product(e_2,e_3,e_4)
| 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_564,c_0_1306]) ).
cnf(c_0_1823,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1684,c_0_1747]) ).
cnf(c_0_1824,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1748]),
[final] ).
cnf(c_0_1825,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1585,c_0_1577]),
[final] ).
cnf(c_0_1826,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_1373]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1749,c_0_1188]),
[final] ).
cnf(c_0_1828,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1750]),
[final] ).
cnf(c_0_1829,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1342,c_0_1751]),
[final] ).
cnf(c_0_1830,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1751]),
[final] ).
cnf(c_0_1831,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1752,c_0_204]),c_0_1476]),c_0_1477]) ).
cnf(c_0_1832,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1262]) ).
cnf(c_0_1833,negated_conjecture,
( product(e_2,e_3,e_4)
| 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_452,c_0_1753]) ).
cnf(c_0_1834,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1754]),c_0_904]),c_0_1067]),c_0_1755]) ).
cnf(c_0_1835,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_1756,c_0_1546]),c_0_1757]),
[final] ).
cnf(c_0_1836,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1758]),
[final] ).
cnf(c_0_1837,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1759]),c_0_1412]),
[final] ).
cnf(c_0_1838,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_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1760,c_0_1505]),c_0_621]) ).
cnf(c_0_1839,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1761,c_0_1762]),c_0_1763]) ).
cnf(c_0_1840,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1764]),c_0_984]),c_0_353]) ).
cnf(c_0_1841,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1765,c_0_1436]),c_0_1766]),c_0_1524]),
[final] ).
cnf(c_0_1842,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1767,c_0_1297]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1342,c_0_1768]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1769]),
[final] ).
cnf(c_0_1845,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1770,c_0_1472]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1653]) ).
cnf(c_0_1847,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1771,c_0_1173]) ).
cnf(c_0_1848,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_120]),
[final] ).
cnf(c_0_1849,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_120]),
[final] ).
cnf(c_0_1850,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_120]),
[final] ).
cnf(c_0_1851,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1578]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1508]),
[final] ).
cnf(c_0_1853,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_1345]),
[final] ).
cnf(c_0_1854,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_632]) ).
cnf(c_0_1855,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_632]),c_0_74]) ).
cnf(c_0_1856,plain,
( product(e_4,e_2,e_3)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1773,c_0_1774]),c_0_1775]),
[final] ).
cnf(c_0_1857,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1117]),c_0_904]),c_0_1024]) ).
cnf(c_0_1858,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1776]) ).
cnf(c_0_1859,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_1777]),c_0_1043]) ).
cnf(c_0_1860,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1778]) ).
cnf(c_0_1861,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| 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_564,c_0_207]) ).
cnf(c_0_1862,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1456]) ).
cnf(c_0_1863,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1779]),c_0_115]),
[final] ).
cnf(c_0_1864,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1780]),c_0_227]),
[final] ).
cnf(c_0_1865,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_943]) ).
cnf(c_0_1866,negated_conjecture,
( product(e_3,e_5,e_2)
| 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_984,c_0_941]) ).
cnf(c_0_1867,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1781]) ).
cnf(c_0_1868,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1119,c_0_1782]),c_0_1783]),
[final] ).
cnf(c_0_1869,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1512]),
[final] ).
cnf(c_0_1870,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_1,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1210,c_0_938]) ).
cnf(c_0_1871,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1449]),
[final] ).
cnf(c_0_1872,negated_conjecture,
( product(e_4,e_5,e_5)
| 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_1,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_982]) ).
cnf(c_0_1873,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1784]),c_0_135]) ).
cnf(c_0_1874,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1785,c_0_904]) ).
cnf(c_0_1875,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1786]) ).
cnf(c_0_1876,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1787,c_0_681]),c_0_1788]),c_0_777]) ).
cnf(c_0_1877,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_721]) ).
cnf(c_0_1878,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1789,c_0_520]),
[final] ).
cnf(c_0_1879,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1790,c_0_704]) ).
cnf(c_0_1880,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1791,c_0_1792]) ).
cnf(c_0_1881,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1793]) ).
cnf(c_0_1882,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_297]),c_0_177]) ).
cnf(c_0_1883,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1131]) ).
cnf(c_0_1884,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1794,c_0_1021]) ).
cnf(c_0_1885,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1795,c_0_537]) ).
cnf(c_0_1886,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_559,c_0_1796]),c_0_1797]),c_0_1798]),c_0_1799]) ).
cnf(c_0_1887,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1800,c_0_257]) ).
cnf(c_0_1888,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_1801]) ).
cnf(c_0_1889,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_1802]),c_0_177]) ).
cnf(c_0_1890,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_569]) ).
cnf(c_0_1891,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1803,c_0_1804]),c_0_1322]),c_0_1805]) ).
cnf(c_0_1892,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_65]),
[final] ).
cnf(c_0_1893,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_65]),
[final] ).
cnf(c_0_1894,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_65]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_862,c_0_956]),c_0_354]),
[final] ).
cnf(c_0_1896,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_1806]),c_0_113]),c_0_313]) ).
cnf(c_0_1897,negated_conjecture,
( product(e_4,X1,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1286]),
[final] ).
cnf(c_0_1898,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_568,c_0_1807]) ).
cnf(c_0_1899,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_971,c_0_1472]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1583]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_971]) ).
cnf(c_0_1902,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1686]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1808,c_0_1641]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1732]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1199,c_0_1732]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1809,c_0_1810]),
[final] ).
cnf(c_0_1907,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1685,c_0_1810]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1810]),c_0_621]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1810]),c_0_621]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1758]),
[final] ).
cnf(c_0_1911,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_1812,c_0_1813]),
[final] ).
cnf(c_0_1912,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_1814,c_0_1813]),
[final] ).
cnf(c_0_1913,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_1342,c_0_1813]),
[final] ).
cnf(c_0_1914,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_1815,c_0_1813]),
[final] ).
cnf(c_0_1915,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_1342,c_0_1816]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1342,c_0_1817]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1652]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_452,c_0_1583]) ).
cnf(c_0_1919,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1818,c_0_1578]),c_0_1577]),
[final] ).
cnf(c_0_1920,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_1819,c_0_1703]),c_0_1392]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_1523]),c_0_1326]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1820,c_0_1578]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,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_61,c_0_1821]),c_0_1709])]) ).
cnf(c_0_1924,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1317,c_0_1578]),
[final] ).
cnf(c_0_1925,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_1507,c_0_1306]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1822]),c_0_1412]) ).
cnf(c_0_1927,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1823]) ).
cnf(c_0_1928,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_1587]),c_0_341]),c_0_345]) ).
cnf(c_0_1929,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1824,c_0_1448]),
[final] ).
cnf(c_0_1930,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_1749,c_0_1825]),c_0_1826]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1827,c_0_1611]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1292,c_0_1208]) ).
cnf(c_0_1933,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1492]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1828,c_0_1829]),c_0_1830]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_353,c_0_1296]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1641]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_564,c_0_1652]) ).
cnf(c_0_1938,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_932]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1295]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1831,c_0_1466]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1832,c_0_1311]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1833]),c_0_897])]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1834]) ).
cnf(c_0_1944,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1746,c_0_1835]) ).
cnf(c_0_1945,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1836,c_0_1837]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1838,c_0_1168]) ).
cnf(c_0_1947,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1839]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1840,c_0_755]),c_0_345]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_1841]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1842]),
[final] ).
cnf(c_0_1951,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1184,c_0_1690]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_1544]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_435,c_0_1843]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1844,c_0_1340]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_564,c_0_1470]) ).
cnf(c_0_1956,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_434,c_0_933]) ).
cnf(c_0_1957,negated_conjecture,
( product(e_1,e_2,e_4)
| 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_564,c_0_1508]) ).
cnf(c_0_1958,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_564,c_0_1845]) ).
cnf(c_0_1959,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1846,c_0_1847]) ).
cnf(c_0_1960,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1774]),
[final] ).
cnf(c_0_1961,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1848,c_0_146]),c_0_1849]),c_0_1850]),c_0_402]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1851,c_0_1661]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1523]),c_0_621]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1271,c_0_1758]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1271,c_0_1502]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_4,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1852]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_1499]) ).
cnf(c_0_1968,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_1853]),c_0_360]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1554]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1470]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1483]),c_0_621]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1854,c_0_501]) ).
cnf(c_0_1973,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1855,c_0_1320]) ).
cnf(c_0_1974,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1856]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_3)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1684,c_0_1446]),c_0_420]) ).
cnf(c_0_1976,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_4,e_3)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1857,c_0_1173]) ).
cnf(c_0_1977,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_1115]) ).
cnf(c_0_1978,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_690,c_0_1286])]) ).
cnf(c_0_1979,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1858,c_0_1859]) ).
cnf(c_0_1980,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_699,c_0_1860]) ).
cnf(c_0_1981,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,X1,e_5)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1861]) ).
cnf(c_0_1982,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_564,c_0_1754]) ).
cnf(c_0_1983,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1862,c_0_1693]) ).
cnf(c_0_1984,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_4,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1256,c_0_1124]) ).
cnf(c_0_1985,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1863,c_0_1241]) ).
cnf(c_0_1986,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_341,c_0_569]) ).
cnf(c_0_1987,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_564,c_0_1073]) ).
cnf(c_0_1988,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1754]) ).
cnf(c_0_1989,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1684,c_0_1753]),c_0_1219]),
[final] ).
cnf(c_0_1990,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_1283,c_0_1226]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1097,c_0_1123]),c_0_1864]) ).
cnf(c_0_1992,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1081]),c_0_767]) ).
cnf(c_0_1993,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_3,e_5)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1865,c_0_1866]) ).
cnf(c_0_1994,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| 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_564,c_0_1867]) ).
cnf(c_0_1995,negated_conjecture,
( product(e_4,e_4,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_1868]),c_0_767]) ).
cnf(c_0_1996,negated_conjecture,
( product(e_4,e_4,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1009,c_0_1295]),c_0_767]) ).
cnf(c_0_1997,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1869,c_0_1870]),c_0_1871]),c_0_1008]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_991]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| 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_1872,c_0_971]) ).
cnf(c_0_2000,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1058]),c_0_67]) ).
cnf(c_0_2001,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1873,c_0_897])]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1874]) ).
cnf(c_0_2003,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_291,c_0_849]) ).
cnf(c_0_2004,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_643,c_0_849]) ).
cnf(c_0_2005,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1875,c_0_421]) ).
cnf(c_0_2006,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_1876]),c_0_782]) ).
cnf(c_0_2007,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1877,c_0_1878]) ).
cnf(c_0_2008,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1879]) ).
cnf(c_0_2009,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1019]) ).
cnf(c_0_2010,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1880]) ).
cnf(c_0_2011,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1881,c_0_421]) ).
cnf(c_0_2012,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1882]),c_0_184]) ).
cnf(c_0_2013,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1883,c_0_370]) ).
cnf(c_0_2014,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1884]) ).
cnf(c_0_2015,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_606]) ).
cnf(c_0_2016,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1094]) ).
cnf(c_0_2017,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_4)
| product(e_1,e_2,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1885]) ).
cnf(c_0_2018,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_592,c_0_1152]),c_0_1171]) ).
cnf(c_0_2019,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1886]) ).
cnf(c_0_2020,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1887,c_0_424]) ).
cnf(c_0_2021,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1888,c_0_141]) ).
cnf(c_0_2022,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1889]),c_0_184]) ).
cnf(c_0_2023,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1890,c_0_150]),c_0_1476]),c_0_152]) ).
cnf(c_0_2024,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_154]) ).
cnf(c_0_2025,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_1891]),c_0_1892]),c_0_1893]),c_0_1894]),
[final] ).
cnf(c_0_2026,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_939,c_0_1298]),c_0_1895]) ).
cnf(c_0_2027,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_386]) ).
cnf(c_0_2028,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_1896]),c_0_182]),
[final] ).
cnf(c_0_2029,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1897,c_0_1898]),c_0_1411]) ).
cnf(c_0_2030,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1899]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1683,c_0_1661]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1431]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1900]),c_0_621]),
[final] ).
cnf(c_0_2034,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,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_1901,c_0_520]) ).
cnf(c_0_2035,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1902,c_0_1903]),
[final] ).
cnf(c_0_2036,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1904]),
[final] ).
cnf(c_0_2037,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_1826,c_0_1382]),c_0_1488]),
[final] ).
cnf(c_0_2038,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1807]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1905]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1748]),
[final] ).
cnf(c_0_2041,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_1731,c_0_1906]),
[final] ).
cnf(c_0_2042,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1731,c_0_1907]),
[final] ).
cnf(c_0_2043,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_1731,c_0_1908]),
[final] ).
cnf(c_0_2044,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_1731,c_0_1909]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_1910]),c_0_1326]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_1911]) ).
cnf(c_0_2047,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_1912]) ).
cnf(c_0_2048,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_1913]) ).
cnf(c_0_2049,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_1914]) ).
cnf(c_0_2050,negated_conjecture,
( product(e_3,e_5,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_203,c_0_1915]) ).
cnf(c_0_2051,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_1916]) ).
cnf(c_0_2052,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1917,c_0_184]) ).
cnf(c_0_2053,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1918]),c_0_897])]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1703]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_1919]) ).
cnf(c_0_2056,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1920]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1921]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_1900]),c_0_1326]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_452,c_0_1922]) ).
cnf(c_0_2060,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1922]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1923]),c_0_1412]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1924,c_0_184]) ).
cnf(c_0_2063,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_452,c_0_1758]) ).
cnf(c_0_2064,negated_conjecture,
( product(e_5,e_3,e_2)
| 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_452,c_0_1925]) ).
cnf(c_0_2065,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1925]),
[final] ).
cnf(c_0_2066,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_1926]),c_0_1412]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1927,c_0_520]) ).
cnf(c_0_2068,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_452,c_0_1502]) ).
cnf(c_0_2069,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1928,c_0_1748]),c_0_1143]),c_0_1929]),
[final] ).
cnf(c_0_2070,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_1687,c_0_1930]),c_0_1931]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1608,c_0_1527]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_1932,c_0_1316]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_1345]),c_0_621]),c_0_1852]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( ~ product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_1934]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1935,c_0_1448]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1812,c_0_1817]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1815,c_0_1817]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1936,c_0_184]) ).
cnf(c_0_2079,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_1616]),c_0_1326]),
[final] ).
cnf(c_0_2080,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1345]),c_0_352]),
[final] ).
cnf(c_0_2081,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1937]),c_0_1709])]) ).
cnf(c_0_2082,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1354,c_0_1616]),c_0_621]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1938,c_0_1188]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1685,c_0_1523]),
[final] ).
cnf(c_0_2085,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1808,c_0_1308]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1292,c_0_1264]),c_0_1939]),
[final] ).
cnf(c_0_2087,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1507,c_0_1845]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_1940]),
[final] ).
cnf(c_0_2089,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_223,c_0_1941]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_473,c_0_1942]) ).
cnf(c_0_2091,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1748]),c_0_904]),c_0_1173]),c_0_1024]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1943,c_0_1585]),c_0_360]) ).
cnf(c_0_2093,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1944]),c_0_1709])]) ).
cnf(c_0_2094,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1945]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1527]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1810]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1698]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1855,c_0_1946]),c_0_1947]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1330,c_0_184]) ).
cnf(c_0_2100,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1948,c_0_257]) ).
cnf(c_0_2101,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1949,c_0_1323]),
[final] ).
cnf(c_0_2102,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1950,c_0_1188]),
[final] ).
cnf(c_0_2103,plain,
( product(e_5,e_2,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_1951]),
[final] ).
cnf(c_0_2104,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1273,c_0_1952]),c_0_1953]),
[final] ).
cnf(c_0_2105,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_577,c_0_1461]) ).
cnf(c_0_2106,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1382]),
[final] ).
cnf(c_0_2107,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1487,c_0_1207]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1954]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1955]),c_0_1412]) ).
cnf(c_0_2110,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_175,c_0_1270]) ).
cnf(c_0_2111,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1813]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1816]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1817]),
[final] ).
cnf(c_0_2114,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1645]),
[final] ).
cnf(c_0_2115,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_1,e_3,e_5)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1956,c_0_968]) ).
cnf(c_0_2116,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1957]),c_0_1709])]) ).
cnf(c_0_2117,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_5,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1958]),c_0_1709])]) ).
cnf(c_0_2118,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1900]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1616]),
[final] ).
cnf(c_0_2120,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1959]) ).
cnf(c_0_2121,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_1611]),
[final] ).
cnf(c_0_2122,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1960,c_0_1652]),c_0_1961]),
[final] ).
cnf(c_0_2123,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1962]),
[final] ).
cnf(c_0_2124,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1963]),
[final] ).
cnf(c_0_2125,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1910]),
[final] ).
cnf(c_0_2126,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1964]),
[final] ).
cnf(c_0_2127,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1001]),
[final] ).
cnf(c_0_2128,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1965]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_227,c_0_1757]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1132]),
[final] ).
cnf(c_0_2131,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1483]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1966,c_0_1188]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_2,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1188]),
[final] ).
cnf(c_0_2134,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1757]),
[final] ).
cnf(c_0_2135,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1473]),
[final] ).
cnf(c_0_2136,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_86,c_0_1546]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_1,e_3,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1967,c_0_1323]) ).
cnf(c_0_2138,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_5,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1842]),
[final] ).
cnf(c_0_2139,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1968]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1847]) ).
cnf(c_0_2141,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1969,c_0_1270]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1970,c_0_1331]),c_0_1971]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1972,c_0_1713]) ).
cnf(c_0_2144,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_1852]),
[final] ).
cnf(c_0_2145,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1973,c_0_1411]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1974,c_0_1343]),c_0_373]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_1975]),c_0_917])]) ).
cnf(c_0_2148,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1839]) ).
cnf(c_0_2149,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_1270]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_983]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1976]) ).
cnf(c_0_2152,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1977,c_0_1244]),c_0_353]) ).
cnf(c_0_2153,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1349]),
[final] ).
cnf(c_0_2154,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_135,c_0_970]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_1691]),c_0_360]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_1,e_3)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1397,c_0_1978]),c_0_1228]) ).
cnf(c_0_2157,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1979]) ).
cnf(c_0_2158,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1325]),
[final] ).
cnf(c_0_2159,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1980]) ).
cnf(c_0_2160,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1981,c_0_271]),c_0_1054]),c_0_942]),c_0_619]) ).
cnf(c_0_2161,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1445]),c_0_904]),c_0_1173]),c_0_1024]) ).
cnf(c_0_2162,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1982]),c_0_1090]) ).
cnf(c_0_2163,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1983]) ).
cnf(c_0_2164,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_747,c_0_1286])]) ).
cnf(c_0_2165,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1387,c_0_1984]),c_0_410]) ).
cnf(c_0_2166,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1080,c_0_1326]) ).
cnf(c_0_2167,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_4,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_1985]),c_0_767]) ).
cnf(c_0_2168,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1979]) ).
cnf(c_0_2169,plain,
( product(e_5,e_2,e_5)
| 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_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1986,c_0_999]) ).
cnf(c_0_2170,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1987]),c_0_1090]) ).
cnf(c_0_2171,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1988,c_0_184]),c_0_1240]) ).
cnf(c_0_2172,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1942]),
[final] ).
cnf(c_0_2173,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1271,c_0_1753]),
[final] ).
cnf(c_0_2174,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_1989]),
[final] ).
cnf(c_0_2175,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1989]) ).
cnf(c_0_2176,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_920,c_0_904]) ).
cnf(c_0_2177,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_1990]) ).
cnf(c_0_2178,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1226]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_4,X1,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1303]) ).
cnf(c_0_2180,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_1779]) ).
cnf(c_0_2181,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_1130]),c_0_767]) ).
cnf(c_0_2182,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1159]),
[final] ).
cnf(c_0_2183,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1000,c_0_1004]) ).
cnf(c_0_2184,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_1991]) ).
cnf(c_0_2185,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1992,c_0_1082]) ).
cnf(c_0_2186,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1091,c_0_1088]) ).
cnf(c_0_2187,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_1993]),c_0_1049]) ).
cnf(c_0_2188,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1994]),c_0_1090]) ).
cnf(c_0_2189,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1995]),
[final] ).
cnf(c_0_2190,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1996]),
[final] ).
cnf(c_0_2191,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_943]),c_0_619]) ).
cnf(c_0_2192,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1997]),
[final] ).
cnf(c_0_2193,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1998,c_0_1126]),
[final] ).
cnf(c_0_2194,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1144]) ).
cnf(c_0_2195,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1999,c_0_904]) ).
cnf(c_0_2196,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_1115]),c_0_623]) ).
cnf(c_0_2197,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2000,c_0_1015]),c_0_904]) ).
cnf(c_0_2198,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,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)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1425]) ).
cnf(c_0_2199,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2001]),
[final] ).
cnf(c_0_2200,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1588]),c_0_134]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2002,c_0_421]) ).
cnf(c_0_2202,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_881,c_0_904]) ).
cnf(c_0_2203,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_867,c_0_904]) ).
cnf(c_0_2204,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_296,c_0_2003]) ).
cnf(c_0_2205,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_2004]),c_0_837]) ).
cnf(c_0_2206,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2005]) ).
cnf(c_0_2207,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2006]),c_0_89]) ).
cnf(c_0_2208,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_223,c_0_837]),
[final] ).
cnf(c_0_2209,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| ~ product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_1332]) ).
cnf(c_0_2210,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2007]),
[final] ).
cnf(c_0_2211,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_725]) ).
cnf(c_0_2212,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1671]),
[final] ).
cnf(c_0_2213,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2008,c_0_376]) ).
cnf(c_0_2214,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_682]) ).
cnf(c_0_2215,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2009,c_0_656]) ).
cnf(c_0_2216,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2010,c_0_376]) ).
cnf(c_0_2217,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_633]),c_0_354]) ).
cnf(c_0_2218,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2011]) ).
cnf(c_0_2219,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2012]),c_0_227]) ).
cnf(c_0_2220,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_946]),c_0_64]),c_0_64]) ).
cnf(c_0_2221,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_549]),
[final] ).
cnf(c_0_2222,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5)
| ~ product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1332]) ).
cnf(c_0_2223,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_614,c_0_621]),
[final] ).
cnf(c_0_2224,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_627]),
[final] ).
cnf(c_0_2225,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1060,c_0_2013]) ).
cnf(c_0_2226,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_2013,c_0_621]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2014,c_0_1110]),c_0_2015]) ).
cnf(c_0_2228,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2016,c_0_517]),c_0_421]) ).
cnf(c_0_2229,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_538]),
[final] ).
cnf(c_0_2230,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_569]) ).
cnf(c_0_2231,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2017,c_0_547]),c_0_1194]) ).
cnf(c_0_2232,negated_conjecture,
( product(e_5,e_5,e_2)
| ~ product(e_5,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_2018]),c_0_132]),c_0_182]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2019,c_0_429]) ).
cnf(c_0_2234,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2020]) ).
cnf(c_0_2235,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_2021]),c_0_806]) ).
cnf(c_0_2236,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| 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_5,e_4) ),
inference(spm,[status(thm)],[c_0_110,c_0_1290]) ).
cnf(c_0_2237,negated_conjecture,
( product(e_5,e_1,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_2022]),c_0_132]),
[final] ).
cnf(c_0_2238,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_569]) ).
cnf(c_0_2239,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2023]),c_0_132]) ).
cnf(c_0_2240,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_569]) ).
cnf(c_0_2241,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1077]) ).
cnf(c_0_2242,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_3)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_977]) ).
cnf(c_0_2243,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_347]) ).
cnf(c_0_2244,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_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_245]),c_0_267]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1891]) ).
cnf(c_0_2246,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1322,c_0_304]) ).
cnf(c_0_2247,negated_conjecture,
( product(e_1,e_5,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2024,c_0_2025]),c_0_402]),c_0_1160]),c_0_435]),c_0_82]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2026]) ).
cnf(c_0_2249,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_1669]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2027,c_0_2028]),c_0_341]),
[final] ).
cnf(c_0_2251,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2029]),c_0_897])]),
[final] ).
cnf(c_0_2252,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2030,c_0_1251]),c_0_2031]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2032,c_0_2033]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_5,e_2,e_1)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_2034,c_0_1472]),c_0_1240]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2032,c_0_2035]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2036,c_0_520]),c_0_2037]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2038,c_0_520]),c_0_2037]),
[final] ).
cnf(c_0_2258,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2039,c_0_520]),c_0_2037]),
[final] ).
cnf(c_0_2259,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2041]),
[final] ).
cnf(c_0_2260,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2042]),
[final] ).
cnf(c_0_2261,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2043]),
[final] ).
cnf(c_0_2262,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2044]),
[final] ).
cnf(c_0_2263,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2045]),
[final] ).
cnf(c_0_2264,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2046]),c_0_897])]),
[final] ).
cnf(c_0_2265,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2047]),c_0_897])]),
[final] ).
cnf(c_0_2266,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2048]),c_0_897])]),
[final] ).
cnf(c_0_2267,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2049]),c_0_897])]),
[final] ).
cnf(c_0_2268,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2050]),c_0_897])]),
[final] ).
cnf(c_0_2269,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2051]),c_0_897])]),
[final] ).
cnf(c_0_2270,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2052]),c_0_897])]),
[final] ).
cnf(c_0_2271,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_2053]),c_0_1577]),
[final] ).
cnf(c_0_2272,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2054,c_0_2055]),c_0_1146]),
[final] ).
cnf(c_0_2273,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2056,c_0_2057]),
[final] ).
cnf(c_0_2274,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2056,c_0_2058]),
[final] ).
cnf(c_0_2275,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2059]),c_0_897])]),
[final] ).
cnf(c_0_2276,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2060,c_0_2061]),
[final] ).
cnf(c_0_2277,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2062]),c_0_897])]),
[final] ).
cnf(c_0_2278,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_3)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2063]),c_0_897])]),
[final] ).
cnf(c_0_2279,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2064]),c_0_897])]),
[final] ).
cnf(c_0_2280,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2065,c_0_2066]),
[final] ).
cnf(c_0_2281,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_2067,c_0_1577]),c_0_1373]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2068]),c_0_897])]),
[final] ).
cnf(c_0_2283,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2069]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2070]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1616]),c_0_621]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1616]),c_0_621]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_2071]),c_0_1577]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1608,c_0_2072]),
[final] ).
cnf(c_0_2289,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1608,c_0_1490]),
[final] ).
cnf(c_0_2290,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1608,c_0_2073]),
[final] ).
cnf(c_0_2291,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2074,c_0_1546]),
[final] ).
cnf(c_0_2292,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1465]),c_0_2075]),
[final] ).
cnf(c_0_2293,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_2076]) ).
cnf(c_0_2294,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_2077]) ).
cnf(c_0_2295,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2078]),c_0_897])]),
[final] ).
cnf(c_0_2296,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1731,c_0_1609]),
[final] ).
cnf(c_0_2297,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1828,c_0_2079]),
[final] ).
cnf(c_0_2298,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2080,c_0_1900]),
[final] ).
cnf(c_0_2299,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2033]),
[final] ).
cnf(c_0_2300,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_223,c_0_1542]),
[final] ).
cnf(c_0_2301,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2081]),c_0_1412]),
[final] ).
cnf(c_0_2302,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2080,c_0_1616]),
[final] ).
cnf(c_0_2303,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1930]),
[final] ).
cnf(c_0_2304,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2082]),
[final] ).
cnf(c_0_2305,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2083,c_0_1611]),
[final] ).
cnf(c_0_2306,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1922]),
[final] ).
cnf(c_0_2307,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_2084]),
[final] ).
cnf(c_0_2308,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1685,c_0_1910]),
[final] ).
cnf(c_0_2309,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1910]),c_0_621]),
[final] ).
cnf(c_0_2310,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2085,c_0_1578]),
[final] ).
cnf(c_0_2311,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2086]),
[final] ).
cnf(c_0_2312,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_2087]),c_0_360]),
[final] ).
cnf(c_0_2313,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1545,c_0_1527]),
[final] ).
cnf(c_0_2314,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2088,c_0_1527]),
[final] ).
cnf(c_0_2315,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_2089,c_0_1527]),
[final] ).
cnf(c_0_2316,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_2090,c_0_1577]),
[final] ).
cnf(c_0_2317,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1618,c_0_1577]),
[final] ).
cnf(c_0_2318,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2091]),
[final] ).
cnf(c_0_2319,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_2092,c_0_1577]),
[final] ).
cnf(c_0_2320,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1545,c_0_2073]),
[final] ).
cnf(c_0_2321,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2093]),c_0_1412]),
[final] ).
cnf(c_0_2322,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2094,c_0_1549]),
[final] ).
cnf(c_0_2323,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2095]),
[final] ).
cnf(c_0_2324,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1684,c_0_1498]),
[final] ).
cnf(c_0_2325,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_2,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2096,c_0_1549]),
[final] ).
cnf(c_0_2326,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1546]),
[final] ).
cnf(c_0_2327,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2097,c_0_2098]),c_0_1814]),
[final] ).
cnf(c_0_2328,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1533]),c_0_61]),
[final] ).
cnf(c_0_2329,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_2070]),c_0_621]),
[final] ).
cnf(c_0_2330,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1608,c_0_1511]),
[final] ).
cnf(c_0_2331,negated_conjecture,
( product(e_5,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1608,c_0_2086]),c_0_345]),
[final] ).
cnf(c_0_2332,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2099]),c_0_897])]),
[final] ).
cnf(c_0_2333,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_1,e_2,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1260]),
[final] ).
cnf(c_0_2334,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1438,c_0_1661]),
[final] ).
cnf(c_0_2335,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1683,c_0_1853]),
[final] ).
cnf(c_0_2336,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1438,c_0_1853]),
[final] ).
cnf(c_0_2337,negated_conjecture,
( product(e_5,e_1,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2074,c_0_1323]),
[final] ).
cnf(c_0_2338,negated_conjecture,
( product(e_5,e_3,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2074,c_0_1527]),
[final] ).
cnf(c_0_2339,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1824,c_0_1508]),
[final] ).
cnf(c_0_2340,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_2100]),c_0_227]),c_0_345]),
[final] ).
cnf(c_0_2341,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1751]),
[final] ).
cnf(c_0_2342,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_2101]),
[final] ).
cnf(c_0_2343,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2102,c_0_2103]),
[final] ).
cnf(c_0_2344,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_227,c_0_2104]),
[final] ).
cnf(c_0_2345,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_2105,c_0_1460]),
[final] ).
cnf(c_0_2346,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2035]),
[final] ).
cnf(c_0_2347,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2106,c_0_2107]),
[final] ).
cnf(c_0_2348,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2108,c_0_1586]),
[final] ).
cnf(c_0_2349,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2109]),c_0_1412]),
[final] ).
cnf(c_0_2350,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_2110]),c_0_184]) ).
cnf(c_0_2351,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_2111,c_0_1549]),
[final] ).
cnf(c_0_2352,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_2112,c_0_1549]),
[final] ).
cnf(c_0_2353,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2113,c_0_1549]),
[final] ).
cnf(c_0_2354,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_2114,c_0_1549]),
[final] ).
cnf(c_0_2355,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_1812,c_0_1645]),
[final] ).
cnf(c_0_2356,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_1815,c_0_1645]),
[final] ).
cnf(c_0_2357,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_2115,c_0_1411]),
[final] ).
cnf(c_0_2358,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2116]),c_0_1412]),
[final] ).
cnf(c_0_2359,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2117]),c_0_1412]),
[final] ).
cnf(c_0_2360,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1343]),
[final] ).
cnf(c_0_2361,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1330,c_0_1262]),
[final] ).
cnf(c_0_2362,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2118,c_0_1549]),
[final] ).
cnf(c_0_2363,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2119,c_0_1549]),
[final] ).
cnf(c_0_2364,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2120,c_0_2082]),c_0_1577]),c_0_368]),
[final] ).
cnf(c_0_2365,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1522,c_0_1652]),
[final] ).
cnf(c_0_2366,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2121,c_0_2122]),
[final] ).
cnf(c_0_2367,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2123,c_0_1549]),
[final] ).
cnf(c_0_2368,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_2124]),c_0_1326]),
[final] ).
cnf(c_0_2369,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_1272]),
[final] ).
cnf(c_0_2370,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2125,c_0_1549]),
[final] ).
cnf(c_0_2371,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2126,c_0_1549]),
[final] ).
cnf(c_0_2372,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1824,c_0_1652]),
[final] ).
cnf(c_0_2373,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1731,c_0_2103]),
[final] ).
cnf(c_0_2374,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_2104]),
[final] ).
cnf(c_0_2375,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1731,c_0_1611]),
[final] ).
cnf(c_0_2376,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2127,c_0_1483]),
[final] ).
cnf(c_0_2377,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_2128,c_0_1549]),
[final] ).
cnf(c_0_2378,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1743,c_0_1577]),
[final] ).
cnf(c_0_2379,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1653,c_0_1577]),
[final] ).
cnf(c_0_2380,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_2129,c_0_1825]),c_0_1267]),
[final] ).
cnf(c_0_2381,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1545,c_0_1511]),
[final] ).
cnf(c_0_2382,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2130,c_0_1578]),
[final] ).
cnf(c_0_2383,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2131,c_0_2104]),c_0_793]),
[final] ).
cnf(c_0_2384,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2132,c_0_2091]),
[final] ).
cnf(c_0_2385,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_5,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_2091]),
[final] ).
cnf(c_0_2386,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1969,c_0_1952]),c_0_1953]),
[final] ).
cnf(c_0_2387,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2134,c_0_2091]),
[final] ).
cnf(c_0_2388,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1824,c_0_1308]),
[final] ).
cnf(c_0_2389,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1522,c_0_1641]),
[final] ).
cnf(c_0_2390,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1500]),
[final] ).
cnf(c_0_2391,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2135,c_0_1500]),
[final] ).
cnf(c_0_2392,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1500]),c_0_904]),c_0_1173]),c_0_1024]),
[final] ).
cnf(c_0_2393,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2136]),
[final] ).
cnf(c_0_2394,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_1500]),
[final] ).
cnf(c_0_2395,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1376]),
[final] ).
cnf(c_0_2396,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_699,c_0_1306]) ).
cnf(c_0_2397,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_1479]),
[final] ).
cnf(c_0_2398,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_1592]),
[final] ).
cnf(c_0_2399,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_5,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1555,c_0_1841]),c_0_1143]),c_0_1316]) ).
cnf(c_0_2400,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_2137]),c_0_917])]) ).
cnf(c_0_2401,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_1,e_4,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1553]),
[final] ).
cnf(c_0_2402,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2138,c_0_1343]),
[final] ).
cnf(c_0_2403,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_1277]),c_0_242]),c_0_227]) ).
cnf(c_0_2404,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_2139,c_0_1549]),
[final] ).
cnf(c_0_2405,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1756,c_0_2073]),
[final] ).
cnf(c_0_2406,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1438,c_0_1691]),
[final] ).
cnf(c_0_2407,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1438,c_0_1692]),
[final] ).
cnf(c_0_2408,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1438,c_0_1693]),
[final] ).
cnf(c_0_2409,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_1733]) ).
cnf(c_0_2410,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1484,c_0_1234]),c_0_1282]),
[final] ).
cnf(c_0_2411,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1733]),c_0_904]),c_0_1173]),c_0_1024]),
[final] ).
cnf(c_0_2412,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1526,c_0_1852]),
[final] ).
cnf(c_0_2413,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_674,c_0_1619]) ).
cnf(c_0_2414,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2140,c_0_2141]),
[final] ).
cnf(c_0_2415,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1244]),
[final] ).
cnf(c_0_2416,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1814,c_0_2142]),
[final] ).
cnf(c_0_2417,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_2143,c_0_1411]),
[final] ).
cnf(c_0_2418,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2144,c_0_1188]),
[final] ).
cnf(c_0_2419,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1960,c_0_1508]),c_0_1961]),
[final] ).
cnf(c_0_2420,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_1768]),
[final] ).
cnf(c_0_2421,plain,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_1335]),
[final] ).
cnf(c_0_2422,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2089,c_0_1511]),
[final] ).
cnf(c_0_2423,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_2145]),
[final] ).
cnf(c_0_2424,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1356]),
[final] ).
cnf(c_0_2425,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_2,e_4)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2146]),
[final] ).
cnf(c_0_2426,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_345,c_0_1343]),
[final] ).
cnf(c_0_2427,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_2,e_5)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1549]),
[final] ).
cnf(c_0_2428,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_2142]),
[final] ).
cnf(c_0_2429,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_2147,c_0_1316]),
[final] ).
cnf(c_0_2430,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_2,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1511]),
[final] ).
cnf(c_0_2431,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1255,c_0_1297]),
[final] ).
cnf(c_0_2432,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2148,c_0_1247]),c_0_1573]) ).
cnf(c_0_2433,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_1272]),
[final] ).
cnf(c_0_2434,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_1444]),
[final] ).
cnf(c_0_2435,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2149,c_0_1573]),
[final] ).
cnf(c_0_2436,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2149,c_0_1382]),
[final] ).
cnf(c_0_2437,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1470]),
[final] ).
cnf(c_0_2438,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2150,c_0_1275]),c_0_1340]),
[final] ).
cnf(c_0_2439,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2151,c_0_1504]),c_0_1326]),c_0_404]),
[final] ).
cnf(c_0_2440,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2152,c_0_1275]),c_0_1124]),
[final] ).
cnf(c_0_2441,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2153,c_0_1244]),
[final] ).
cnf(c_0_2442,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_404,c_0_2154]),
[final] ).
cnf(c_0_2443,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1535,c_0_2155]),c_0_904]) ).
cnf(c_0_2444,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1648,c_0_2156]) ).
cnf(c_0_2445,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_5,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1007,c_0_1483]) ).
cnf(c_0_2446,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2157,c_0_1325]),c_0_1326]),c_0_2158]) ).
cnf(c_0_2447,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2159,c_0_2160]) ).
cnf(c_0_2448,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_2161]) ).
cnf(c_0_2449,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2162]),c_0_1090]) ).
cnf(c_0_2450,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2163,c_0_2156]) ).
cnf(c_0_2451,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1649,c_0_2156]) ).
cnf(c_0_2452,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,e_5,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1471]) ).
cnf(c_0_2453,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2164]) ).
cnf(c_0_2454,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_2165,c_0_1713]) ).
cnf(c_0_2455,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_2166,c_0_1713]) ).
cnf(c_0_2456,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_773,c_0_1713]) ).
cnf(c_0_2457,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_794,c_0_2167]),c_0_767]) ).
cnf(c_0_2458,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2168,c_0_1004]) ).
cnf(c_0_2459,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1387,c_0_1979]),c_0_410]) ).
cnf(c_0_2460,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2169,c_0_1151]),c_0_1024]),c_0_1173]),c_0_1216]) ).
cnf(c_0_2461,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_5,e_4,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2170]),c_0_1090]) ).
cnf(c_0_2462,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_5,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2171]),c_0_897])]),
[final] ).
cnf(c_0_2463,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2172,c_0_1989]),c_0_1219]) ).
cnf(c_0_2464,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1535,c_0_2173]),c_0_904]) ).
cnf(c_0_2465,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2174,c_0_1057]),c_0_2175]) ).
cnf(c_0_2466,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_991]),
[final] ).
cnf(c_0_2467,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_2176,c_0_1143]),
[final] ).
cnf(c_0_2468,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1535,c_0_1198]),c_0_904]) ).
cnf(c_0_2469,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2177]),c_0_1049]),
[final] ).
cnf(c_0_2470,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2178,c_0_520]),
[final] ).
cnf(c_0_2471,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2179,c_0_184]) ).
cnf(c_0_2472,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2180]),c_0_2181]),
[final] ).
cnf(c_0_2473,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2182,c_0_517]),c_0_1311]),
[final] ).
cnf(c_0_2474,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_99]),
[final] ).
cnf(c_0_2475,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1772,c_0_2183]) ).
cnf(c_0_2476,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2184]),c_0_1049]) ).
cnf(c_0_2477,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_690,c_0_2185]) ).
cnf(c_0_2478,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_747,c_0_2185]) ).
cnf(c_0_2479,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_2186]),c_0_802]) ).
cnf(c_0_2480,negated_conjecture,
( product(e_4,e_5,e_2)
| 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_1283,c_0_2187]) ).
cnf(c_0_2481,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_1264]),
[final] ).
cnf(c_0_2482,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2188]),c_0_1090]) ).
cnf(c_0_2483,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1535,c_0_1382]),c_0_904]) ).
cnf(c_0_2484,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1868]),c_0_904]),c_0_1067]),c_0_2189]),
[final] ).
cnf(c_0_2485,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2129,c_0_1081]),c_0_2190]),
[final] ).
cnf(c_0_2486,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1707,c_0_1782]),c_0_1783]),
[final] ).
cnf(c_0_2487,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_99]),
[final] ).
cnf(c_0_2488,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1314]),c_0_410]) ).
cnf(c_0_2489,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_167]),
[final] ).
cnf(c_0_2490,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_1,e_3)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_690,c_0_1049]) ).
cnf(c_0_2491,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_1076]),
[final] ).
cnf(c_0_2492,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1036]),c_0_92]),
[final] ).
cnf(c_0_2493,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2191]),c_0_627]) ).
cnf(c_0_2494,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_3,e_5,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1092]),c_0_352]) ).
cnf(c_0_2495,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2192,c_0_1348]),
[final] ).
cnf(c_0_2496,negated_conjecture,
( ~ product(e_5,e_2,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_1717]),
[final] ).
cnf(c_0_2497,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1065,c_0_1449]),c_0_904]),c_0_1067]),c_0_2193]),
[final] ).
cnf(c_0_2498,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2194,c_0_988]) ).
cnf(c_0_2499,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2195]),c_0_353]),
[final] ).
cnf(c_0_2500,negated_conjecture,
( product(e_5,e_1,e_2)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_979,c_0_897])]) ).
cnf(c_0_2501,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1069,c_0_2196]) ).
cnf(c_0_2502,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_2197,c_0_1067]) ).
cnf(c_0_2503,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_4,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2154]),
[final] ).
cnf(c_0_2504,plain,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_1207]),
[final] ).
cnf(c_0_2505,negated_conjecture,
( product(e_4,e_1,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1423,c_0_1717]),c_0_1783]),
[final] ).
cnf(c_0_2506,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,X1,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_691]) ).
cnf(c_0_2507,negated_conjecture,
( product(e_3,e_4,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_967]),c_0_223]),
[final] ).
cnf(c_0_2508,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1045]) ).
cnf(c_0_2509,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_99]),
[final] ).
cnf(c_0_2510,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_1727]),c_0_410]),c_0_2198]) ).
cnf(c_0_2511,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2199,c_0_2026]) ).
cnf(c_0_2512,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_207,c_0_942]),c_0_2200]) ).
cnf(c_0_2513,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2201]) ).
cnf(c_0_2514,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1536,c_0_904]),
[final] ).
cnf(c_0_2515,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2202]) ).
cnf(c_0_2516,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2203]) ).
cnf(c_0_2517,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_2204]),c_0_2205]) ).
cnf(c_0_2518,negated_conjecture,
( 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_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2206,c_0_812]) ).
cnf(c_0_2519,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_768,c_0_876]) ).
cnf(c_0_2520,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_787]),c_0_345]),
[final] ).
cnf(c_0_2521,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2207,c_0_2208]),c_0_354]),c_0_114]),
[final] ).
cnf(c_0_2522,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_692]),c_0_89]) ).
cnf(c_0_2523,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2209,c_0_1719]),c_0_2210]),c_0_2211]) ).
cnf(c_0_2524,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2212,c_0_2007]),
[final] ).
cnf(c_0_2525,plain,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1705]),
[final] ).
cnf(c_0_2526,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_2213]),c_0_410]),
[final] ).
cnf(c_0_2527,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2011]) ).
cnf(c_0_2528,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_2012]) ).
cnf(c_0_2529,negated_conjecture,
( product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2214]),c_0_84]),c_0_227]),c_0_92]),
[final] ).
cnf(c_0_2530,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_2215]),c_0_684]) ).
cnf(c_0_2531,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2216]) ).
cnf(c_0_2532,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_2217,c_0_867]) ).
cnf(c_0_2533,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_768,c_0_843]) ).
cnf(c_0_2534,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_1534]) ).
cnf(c_0_2535,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2218,c_0_421]) ).
cnf(c_0_2536,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_297]),c_0_368]) ).
cnf(c_0_2537,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_2219,c_0_786]) ).
cnf(c_0_2538,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_786]),c_0_353]) ).
cnf(c_0_2539,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1218]) ).
cnf(c_0_2540,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2220,c_0_560]),c_0_562]),c_0_563]),c_0_2221]),
[final] ).
cnf(c_0_2541,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2222,c_0_2223]),c_0_2224]) ).
cnf(c_0_2542,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_2225,c_0_621]),
[final] ).
cnf(c_0_2543,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2226]),
[final] ).
cnf(c_0_2544,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_2227,c_0_621]),
[final] ).
cnf(c_0_2545,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1028,c_0_621]),
[final] ).
cnf(c_0_2546,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1122,c_0_621]),
[final] ).
cnf(c_0_2547,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_1112,c_0_621]),
[final] ).
cnf(c_0_2548,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1110,c_0_621]),
[final] ).
cnf(c_0_2549,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_2228,c_0_621]),
[final] ).
cnf(c_0_2550,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_1094,c_0_621]),
[final] ).
cnf(c_0_2551,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_1021,c_0_621]),
[final] ).
cnf(c_0_2552,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_386,c_0_621]),
[final] ).
cnf(c_0_2553,plain,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1564]),
[final] ).
cnf(c_0_2554,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_227,c_0_490]),
[final] ).
cnf(c_0_2555,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2229,c_0_549]),
[final] ).
cnf(c_0_2556,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_2230,c_0_1077]) ).
cnf(c_0_2557,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_5,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2231]),c_0_350])]) ).
cnf(c_0_2558,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_776,c_0_257]) ).
cnf(c_0_2559,negated_conjecture,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_999]) ).
cnf(c_0_2560,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_2232]),
[final] ).
cnf(c_0_2561,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2233]) ).
cnf(c_0_2562,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2234,c_0_2235]) ).
cnf(c_0_2563,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2236,c_0_421]) ).
cnf(c_0_2564,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_227,c_0_2237]),
[final] ).
cnf(c_0_2565,plain,
( product(e_5,e_3,e_5)
| 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_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_2238,c_0_577]) ).
cnf(c_0_2566,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2239,c_0_421]) ).
cnf(c_0_2567,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_2240,c_0_370]) ).
cnf(c_0_2568,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_443]),c_0_271]) ).
cnf(c_0_2569,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_962]) ).
cnf(c_0_2570,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_492,c_0_1303]) ).
cnf(c_0_2571,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_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2241,c_0_204]),c_0_1476]) ).
cnf(c_0_2572,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_1,e_2)
| 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_2242,c_0_971]) ).
cnf(c_0_2573,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_5)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_434,c_0_362]) ).
cnf(c_0_2574,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_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2243,c_0_259]),c_0_1476]),c_0_2244]) ).
cnf(c_0_2575,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2245,c_0_271]) ).
cnf(c_0_2576,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_568,c_0_1077]) ).
cnf(c_0_2577,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2246]),c_0_336]) ).
cnf(c_0_2578,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_99]),
[final] ).
cnf(c_0_2579,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2000,c_0_304]) ).
cnf(c_0_2580,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1014,c_0_304]) ).
cnf(c_0_2581,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_2247]),
[final] ).
cnf(c_0_2582,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_2025]),
[final] ).
cnf(c_0_2583,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_2247]),
[final] ).
cnf(c_0_2584,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_2025]),
[final] ).
cnf(c_0_2585,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1533]),c_0_64]),c_0_64]) ).
cnf(c_0_2586,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_3,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_190]) ).
cnf(c_0_2587,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1303]),c_0_223]) ).
cnf(c_0_2588,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_4,X1,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_362]) ).
cnf(c_0_2589,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_99]),
[final] ).
cnf(c_0_2590,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| 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_155,c_0_355]) ).
cnf(c_0_2591,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_294]) ).
cnf(c_0_2592,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_71]),
[final] ).
cnf(c_0_2593,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_120]),
[final] ).
cnf(c_0_2594,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_96]),
[final] ).
cnf(c_0_2595,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_65]),
[final] ).
cnf(c_0_2596,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_130]),
[final] ).
cnf(c_0_2597,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_2598,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_2599,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_2600,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_2601,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1338]),
[final] ).
cnf(c_0_2602,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2248,c_0_1629]),c_0_132]),c_0_1630]),c_0_2249]),
[final] ).
cnf(c_0_2603,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_534]),
[final] ).
cnf(c_0_2604,plain,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1207]),
[final] ).
cnf(c_0_2605,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_341,c_0_556]),
[final] ).
cnf(c_0_2606,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_290]),c_0_354]),
[final] ).
cnf(c_0_2607,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1634]),c_0_195]),
[final] ).
cnf(c_0_2608,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_2250]),
[final] ).
cnf(c_0_2609,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_2250]),
[final] ).
cnf(c_0_2610,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2251]),
[final] ).
cnf(c_0_2611,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2251]),
[final] ).
cnf(c_0_2612,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2252]),
[final] ).
cnf(c_0_2613,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2253]),
[final] ).
cnf(c_0_2614,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2254]),
[final] ).
cnf(c_0_2615,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2255]),
[final] ).
cnf(c_0_2616,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2256]),
[final] ).
cnf(c_0_2617,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2257]),
[final] ).
cnf(c_0_2618,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2258]),
[final] ).
cnf(c_0_2619,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2259,c_0_1431]),
[final] ).
cnf(c_0_2620,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2260,c_0_1431]),
[final] ).
cnf(c_0_2621,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2261,c_0_1431]),
[final] ).
cnf(c_0_2622,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2262,c_0_1431]),
[final] ).
cnf(c_0_2623,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2263,c_0_1431]),
[final] ).
cnf(c_0_2624,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2264]),
[final] ).
cnf(c_0_2625,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2265]),
[final] ).
cnf(c_0_2626,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2266]),
[final] ).
cnf(c_0_2627,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2267]),
[final] ).
cnf(c_0_2628,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2268]),
[final] ).
cnf(c_0_2629,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2269]),
[final] ).
cnf(c_0_2630,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2270]),
[final] ).
cnf(c_0_2631,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2253]),
[final] ).
cnf(c_0_2632,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2271]),
[final] ).
cnf(c_0_2633,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2053]),
[final] ).
cnf(c_0_2634,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2272]),
[final] ).
cnf(c_0_2635,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2273]),
[final] ).
cnf(c_0_2636,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2274]),
[final] ).
cnf(c_0_2637,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2275]),
[final] ).
cnf(c_0_2638,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2276]),
[final] ).
cnf(c_0_2639,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2277]),
[final] ).
cnf(c_0_2640,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2278]),
[final] ).
cnf(c_0_2641,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1945]),
[final] ).
cnf(c_0_2642,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2279]),
[final] ).
cnf(c_0_2643,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2280]),
[final] ).
cnf(c_0_2644,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2281]),
[final] ).
cnf(c_0_2645,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2282]),
[final] ).
cnf(c_0_2646,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1732]),
[final] ).
cnf(c_0_2647,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1732]),
[final] ).
cnf(c_0_2648,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2041]),
[final] ).
cnf(c_0_2649,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2041]),
[final] ).
cnf(c_0_2650,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2042]),
[final] ).
cnf(c_0_2651,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2042]),
[final] ).
cnf(c_0_2652,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2043]),
[final] ).
cnf(c_0_2653,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2043]),
[final] ).
cnf(c_0_2654,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2044]),
[final] ).
cnf(c_0_2655,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2044]),
[final] ).
cnf(c_0_2656,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1906]),
[final] ).
cnf(c_0_2657,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1906]),
[final] ).
cnf(c_0_2658,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1907]),
[final] ).
cnf(c_0_2659,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1907]),
[final] ).
cnf(c_0_2660,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1908]),
[final] ).
cnf(c_0_2661,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1908]),
[final] ).
cnf(c_0_2662,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1909]),
[final] ).
cnf(c_0_2663,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1909]),
[final] ).
cnf(c_0_2664,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1810]),
[final] ).
cnf(c_0_2665,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2285]),
[final] ).
cnf(c_0_2666,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2082]),
[final] ).
cnf(c_0_2667,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2284,c_0_2286]),
[final] ).
cnf(c_0_2668,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1734]),
[final] ).
cnf(c_0_2669,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2287]),
[final] ).
cnf(c_0_2670,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1644]),
[final] ).
cnf(c_0_2671,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2288]),
[final] ).
cnf(c_0_2672,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2289]),
[final] ).
cnf(c_0_2673,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2071]),
[final] ).
cnf(c_0_2674,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2290]),
[final] ).
cnf(c_0_2675,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1575]),
[final] ).
cnf(c_0_2676,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1746,c_0_2291]),
[final] ).
cnf(c_0_2677,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2255]),
[final] ).
cnf(c_0_2678,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_2268]),c_0_621]),c_0_2292]),
[final] ).
cnf(c_0_2679,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2293]),c_0_897])]),
[final] ).
cnf(c_0_2680,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_2294]),c_0_897])]),
[final] ).
cnf(c_0_2681,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2295]),
[final] ).
cnf(c_0_2682,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1911]),
[final] ).
cnf(c_0_2683,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1912]),
[final] ).
cnf(c_0_2684,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1913]),
[final] ).
cnf(c_0_2685,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1914]),
[final] ).
cnf(c_0_2686,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1915]),
[final] ).
cnf(c_0_2687,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1916]),
[final] ).
cnf(c_0_2688,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1688]),
[final] ).
cnf(c_0_2689,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1813]),
[final] ).
cnf(c_0_2690,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2296]),
[final] ).
cnf(c_0_2691,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2296]),
[final] ).
cnf(c_0_2692,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2296]),
[final] ).
cnf(c_0_2693,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1816]),
[final] ).
cnf(c_0_2694,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1817]),
[final] ).
cnf(c_0_2695,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1645]),
[final] ).
cnf(c_0_2696,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1609]),
[final] ).
cnf(c_0_2697,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1609]),
[final] ).
cnf(c_0_2698,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1576]),
[final] ).
cnf(c_0_2699,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1899]),
[final] ).
cnf(c_0_2700,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1899]),
[final] ).
cnf(c_0_2701,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1899]),
[final] ).
cnf(c_0_2702,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2270]),
[final] ).
cnf(c_0_2703,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2297]),
[final] ).
cnf(c_0_2704,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2298]),
[final] ).
cnf(c_0_2705,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2058]),
[final] ).
cnf(c_0_2706,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2299,c_0_2300]),c_0_420]),
[final] ).
cnf(c_0_2707,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2301]),
[final] ).
cnf(c_0_2708,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2301]),
[final] ).
cnf(c_0_2709,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2301]),
[final] ).
cnf(c_0_2710,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2302]),
[final] ).
cnf(c_0_2711,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2079]),
[final] ).
cnf(c_0_2712,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_2082]),
[final] ).
cnf(c_0_2713,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2304,c_0_1703]),
[final] ).
cnf(c_0_2714,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_2285]),
[final] ).
cnf(c_0_2715,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2285]),
[final] ).
cnf(c_0_2716,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_2286]),
[final] ).
cnf(c_0_2717,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2286]),
[final] ).
cnf(c_0_2718,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_175,c_0_2305]),
[final] ).
cnf(c_0_2719,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1900]),
[final] ).
cnf(c_0_2720,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1616]),
[final] ).
cnf(c_0_2721,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2306]),
[final] ).
cnf(c_0_2722,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2057]),
[final] ).
cnf(c_0_2723,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2307]),
[final] ).
cnf(c_0_2724,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2124]),
[final] ).
cnf(c_0_2725,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2045]),
[final] ).
cnf(c_0_2726,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2045]),
[final] ).
cnf(c_0_2727,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2308]),
[final] ).
cnf(c_0_2728,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2308]),
[final] ).
cnf(c_0_2729,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2308]),
[final] ).
cnf(c_0_2730,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2309]),
[final] ).
cnf(c_0_2731,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2309]),
[final] ).
cnf(c_0_2732,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2309]),
[final] ).
cnf(c_0_2733,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2053]),
[final] ).
cnf(c_0_2734,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1583]),
[final] ).
cnf(c_0_2735,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_1573]),
[final] ).
cnf(c_0_2736,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_2155]),
[final] ).
cnf(c_0_2737,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_1382]),
[final] ).
cnf(c_0_2738,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2303,c_0_1198]),
[final] ).
cnf(c_0_2739,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1962]),
[final] ).
cnf(c_0_2740,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_223,c_0_2273]),
[final] ).
cnf(c_0_2741,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_2274]),
[final] ).
cnf(c_0_2742,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1920]),
[final] ).
cnf(c_0_2743,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1920]),
[final] ).
cnf(c_0_2744,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_115,c_0_2275]),
[final] ).
cnf(c_0_2745,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2310]),
[final] ).
cnf(c_0_2746,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1919]),
[final] ).
cnf(c_0_2747,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2277]),
[final] ).
cnf(c_0_2748,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2132,c_0_1921]),c_0_2311]),
[final] ).
cnf(c_0_2749,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1921]),
[final] ).
cnf(c_0_2750,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1921]),
[final] ).
cnf(c_0_2751,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_2084]),
[final] ).
cnf(c_0_2752,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2084]),
[final] ).
cnf(c_0_2753,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1963]),
[final] ).
cnf(c_0_2754,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1963]),
[final] ).
cnf(c_0_2755,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2312]),
[final] ).
cnf(c_0_2756,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1910]),
[final] ).
cnf(c_0_2757,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1964]),
[final] ).
cnf(c_0_2758,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2313]),
[final] ).
cnf(c_0_2759,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2314]),
[final] ).
cnf(c_0_2760,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2315]),
[final] ).
cnf(c_0_2761,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2316]),
[final] ).
cnf(c_0_2762,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2317]),
[final] ).
cnf(c_0_2763,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2318,c_0_2317]),
[final] ).
cnf(c_0_2764,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2317]),
[final] ).
cnf(c_0_2765,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2317]),
[final] ).
cnf(c_0_2766,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_1)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2319]),
[final] ).
cnf(c_0_2767,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1825]),
[final] ).
cnf(c_0_2768,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2061]),
[final] ).
cnf(c_0_2769,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2061]),
[final] ).
cnf(c_0_2770,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2061]),
[final] ).
cnf(c_0_2771,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2320]),
[final] ).
cnf(c_0_2772,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_5,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1523]),
[final] ).
cnf(c_0_2773,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2321]),
[final] ).
cnf(c_0_2774,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2321]),
[final] ).
cnf(c_0_2775,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2321]),
[final] ).
cnf(c_0_2776,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1965]),
[final] ).
cnf(c_0_2777,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2087]),
[final] ).
cnf(c_0_2778,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2278]),
[final] ).
cnf(c_0_2779,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2322,c_0_2154]),
[final] ).
cnf(c_0_2780,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2323,c_0_1221]),
[final] ).
cnf(c_0_2781,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2323,c_0_1281]),
[final] ).
cnf(c_0_2782,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2324]),
[final] ).
cnf(c_0_2783,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_1952]),
[final] ).
cnf(c_0_2784,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2282]),
[final] ).
cnf(c_0_2785,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1904]),
[final] ).
cnf(c_0_2786,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1904]),
[final] ).
cnf(c_0_2787,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1807]),
[final] ).
cnf(c_0_2788,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1807]),
[final] ).
cnf(c_0_2789,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_1807]),c_0_195]),
[final] ).
cnf(c_0_2790,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_1905]),c_0_135]),
[final] ).
cnf(c_0_2791,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1905]),
[final] ).
cnf(c_0_2792,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1905]),
[final] ).
cnf(c_0_2793,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1827,c_0_1732]),
[final] ).
cnf(c_0_2794,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_5,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1732]),
[final] ).
cnf(c_0_2795,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2325,c_0_2154]),
[final] ).
cnf(c_0_2796,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1906]),
[final] ).
cnf(c_0_2797,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1907]),
[final] ).
cnf(c_0_2798,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1908]),
[final] ).
cnf(c_0_2799,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1909]),
[final] ).
cnf(c_0_2800,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1746,c_0_2326]),
[final] ).
cnf(c_0_2801,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1746,c_0_2136]),
[final] ).
cnf(c_0_2802,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1745]),
[final] ).
cnf(c_0_2803,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1521]),
[final] ).
cnf(c_0_2804,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1940]),
[final] ).
cnf(c_0_2805,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1481]),
[final] ).
cnf(c_0_2806,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_227,c_0_2327]),
[final] ).
cnf(c_0_2807,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2328,c_0_2300]),c_0_1461]),c_0_1460]),c_0_1577]),c_0_1474]),
[final] ).
cnf(c_0_2808,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2329]),
[final] ).
cnf(c_0_2809,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_2070]),
[final] ).
cnf(c_0_2810,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1644]),
[final] ).
cnf(c_0_2811,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1644]),c_0_227]),
[final] ).
cnf(c_0_2812,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2071]),
[final] ).
cnf(c_0_2813,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,e_5,e_2)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2290]),
[final] ).
cnf(c_0_2814,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2330,c_0_2154]),
[final] ).
cnf(c_0_2815,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2331]),
[final] ).
cnf(c_0_2816,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1575]),
[final] ).
cnf(c_0_2817,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2332]),
[final] ).
cnf(c_0_2818,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1642]),
[final] ).
cnf(c_0_2819,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2333]),
[final] ).
cnf(c_0_2820,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1607]),
[final] ).
cnf(c_0_2821,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1458]),
[final] ).
cnf(c_0_2822,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2066]),
[final] ).
cnf(c_0_2823,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2066]),
[final] ).
cnf(c_0_2824,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2066]),
[final] ).
cnf(c_0_2825,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_564,c_0_1842]),
[final] ).
cnf(c_0_2826,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_564,c_0_1617]),
[final] ).
cnf(c_0_2827,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2031]),
[final] ).
cnf(c_0_2828,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2031]),
[final] ).
cnf(c_0_2829,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2031]),
[final] ).
cnf(c_0_2830,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2334]),
[final] ).
cnf(c_0_2831,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2335]),
[final] ).
cnf(c_0_2832,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2335]),
[final] ).
cnf(c_0_2833,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2335]),
[final] ).
cnf(c_0_2834,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2336]),
[final] ).
cnf(c_0_2835,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1968]),
[final] ).
cnf(c_0_2836,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_1345]),c_0_1577]),
[final] ).
cnf(c_0_2837,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_2337]),
[final] ).
cnf(c_0_2838,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_2337]),
[final] ).
cnf(c_0_2839,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_2337]),
[final] ).
cnf(c_0_2840,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_2338]),c_0_1472]),
[final] ).
cnf(c_0_2841,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_2291]),
[final] ).
cnf(c_0_2842,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2074,c_0_2339]),
[final] ).
cnf(c_0_2843,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2074,c_0_1852]),
[final] ).
cnf(c_0_2844,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_1934]),
[final] ).
cnf(c_0_2845,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2340,c_0_1751]),c_0_904]),
[final] ).
cnf(c_0_2846,negated_conjecture,
( ~ product(e_2,e_4,e_1)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2341,c_0_2342]),
[final] ).
cnf(c_0_2847,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2343,c_0_1751]),
[final] ).
cnf(c_0_2848,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2344,c_0_1751]),
[final] ).
cnf(c_0_2849,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_1974,c_0_1751]),c_0_373]),
[final] ).
cnf(c_0_2850,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2345]),
[final] ).
cnf(c_0_2851,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1853]),
[final] ).
cnf(c_0_2852,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1345]),
[final] ).
cnf(c_0_2853,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1746,c_0_1001]),
[final] ).
cnf(c_0_2854,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2346,c_0_2300]),c_0_420]),
[final] ).
cnf(c_0_2855,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2347]),
[final] ).
cnf(c_0_2856,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2107]),
[final] ).
cnf(c_0_2857,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1443]),
[final] ).
cnf(c_0_2858,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2348]),
[final] ).
cnf(c_0_2859,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2349]),
[final] ).
cnf(c_0_2860,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2349]),
[final] ).
cnf(c_0_2861,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2349]),
[final] ).
cnf(c_0_2862,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2350]),c_0_227]),
[final] ).
cnf(c_0_2863,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_1740]),
[final] ).
cnf(c_0_2864,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_1903]),
[final] ).
cnf(c_0_2865,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_1739]),
[final] ).
cnf(c_0_2866,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_1586]),
[final] ).
cnf(c_0_2867,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_1738]),
[final] ).
cnf(c_0_2868,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_1740]),
[final] ).
cnf(c_0_2869,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_1738]),
[final] ).
cnf(c_0_2870,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1738]),
[final] ).
cnf(c_0_2871,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2295]),
[final] ).
cnf(c_0_2872,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1739]),
[final] ).
cnf(c_0_2873,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1740]),
[final] ).
cnf(c_0_2874,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_2351,c_0_2154]),
[final] ).
cnf(c_0_2875,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_2352,c_0_2154]),
[final] ).
cnf(c_0_2876,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2353,c_0_2154]),
[final] ).
cnf(c_0_2877,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_2354,c_0_2154]),
[final] ).
cnf(c_0_2878,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_242,c_0_1911]),
[final] ).
cnf(c_0_2879,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_242,c_0_1912]),
[final] ).
cnf(c_0_2880,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_242,c_0_1913]),
[final] ).
cnf(c_0_2881,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_242,c_0_1914]),
[final] ).
cnf(c_0_2882,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2076]),
[final] ).
cnf(c_0_2883,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1916]),
[final] ).
cnf(c_0_2884,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2077]),
[final] ).
cnf(c_0_2885,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2355]),
[final] ).
cnf(c_0_2886,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1688]),
[final] ).
cnf(c_0_2887,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2356]),
[final] ).
cnf(c_0_2888,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_1814,c_0_1816]),
[final] ).
cnf(c_0_2889,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_1814,c_0_1645]),
[final] ).
cnf(c_0_2890,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1609]),
[final] ).
cnf(c_0_2891,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_2098]),c_0_1814]),
[final] ).
cnf(c_0_2892,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_1576]),
[final] ).
cnf(c_0_2893,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1903]),
[final] ).
cnf(c_0_2894,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_4,e_5)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2357]),
[final] ).
cnf(c_0_2895,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2358]),
[final] ).
cnf(c_0_2896,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2358]),
[final] ).
cnf(c_0_2897,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2358]),
[final] ).
cnf(c_0_2898,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1837]),
[final] ).
cnf(c_0_2899,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1837]),
[final] ).
cnf(c_0_2900,negated_conjecture,
( product(e_4,e_5,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1837]),
[final] ).
cnf(c_0_2901,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2359]),
[final] ).
cnf(c_0_2902,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2359]),
[final] ).
cnf(c_0_2903,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2359]),
[final] ).
cnf(c_0_2904,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2360,c_0_1221]),
[final] ).
cnf(c_0_2905,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2360,c_0_1281]),
[final] ).
cnf(c_0_2906,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2361]),
[final] ).
cnf(c_0_2907,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_2297]),
[final] ).
cnf(c_0_2908,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2362,c_0_2154]),
[final] ).
cnf(c_0_2909,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2363,c_0_2154]),
[final] ).
cnf(c_0_2910,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_4,e_1)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2364]),
[final] ).
cnf(c_0_2911,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2033]),
[final] ).
cnf(c_0_2912,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2365]),
[final] ).
cnf(c_0_2913,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2032,c_0_2366]),
[final] ).
cnf(c_0_2914,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2122]),
[final] ).
cnf(c_0_2915,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1750]),
[final] ).
cnf(c_0_2916,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1750]),
[final] ).
cnf(c_0_2917,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2367,c_0_2154]),
[final] ).
cnf(c_0_2918,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_2368]),c_0_2369]),
[final] ).
cnf(c_0_2919,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2370,c_0_2154]),
[final] ).
cnf(c_0_2920,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2371,c_0_2154]),
[final] ).
cnf(c_0_2921,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2366]),
[final] ).
cnf(c_0_2922,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2372,c_0_2373]),
[final] ).
cnf(c_0_2923,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2366]),
[final] ).
cnf(c_0_2924,negated_conjecture,
( product(e_3,e_4,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2374,c_0_2122]),
[final] ).
cnf(c_0_2925,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2032,c_0_1660]),
[final] ).
cnf(c_0_2926,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_2123,c_0_2342]),c_0_74]),
[final] ).
cnf(c_0_2927,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_2057]),
[final] ).
cnf(c_0_2928,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_2307]),c_0_1326]),
[final] ).
cnf(c_0_2929,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_2307]),
[final] ).
cnf(c_0_2930,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1646]),
[final] ).
cnf(c_0_2931,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_2124]),
[final] ).
cnf(c_0_2932,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2375]),
[final] ).
cnf(c_0_2933,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2375]),
[final] ).
cnf(c_0_2934,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2375]),
[final] ).
cnf(c_0_2935,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2305]),
[final] ).
cnf(c_0_2936,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_1611]),
[final] ).
cnf(c_0_2937,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1611]),
[final] ).
cnf(c_0_2938,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2376,c_0_1611]),
[final] ).
cnf(c_0_2939,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_2102,c_0_1611]),
[final] ).
cnf(c_0_2940,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_1579,c_0_2154]),
[final] ).
cnf(c_0_2941,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_2377,c_0_2154]),
[final] ).
cnf(c_0_2942,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1660]),
[final] ).
cnf(c_0_2943,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1267,c_0_1660]),
[final] ).
cnf(c_0_2944,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1919]),
[final] ).
cnf(c_0_2945,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1921]),
[final] ).
cnf(c_0_2946,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_2084]),
[final] ).
cnf(c_0_2947,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1963]),
[final] ).
cnf(c_0_2948,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_2313]),c_0_1472]),c_0_1617]),
[final] ).
cnf(c_0_2949,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_1615,c_0_2314]),c_0_1472]),c_0_1617]),
[final] ).
cnf(c_0_2950,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2378]),
[final] ).
cnf(c_0_2951,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_2379]),
[final] ).
cnf(c_0_2952,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_2317]),
[final] ).
cnf(c_0_2953,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2380]),
[final] ).
cnf(c_0_2954,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_2380]),
[final] ).
cnf(c_0_2955,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2320]),
[final] ).
cnf(c_0_2956,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2381,c_0_2154]),
[final] ).
cnf(c_0_2957,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2382]),
[final] ).
cnf(c_0_2958,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1578]),
[final] ).
cnf(c_0_2959,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1317,c_0_1835]),
[final] ).
cnf(c_0_2960,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1835]),
[final] ).
cnf(c_0_2961,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1737]),
[final] ).
cnf(c_0_2962,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1951]),
[final] ).
cnf(c_0_2963,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_1756,c_0_1527]),
[final] ).
cnf(c_0_2964,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1280,c_0_1527]),c_0_420]),
[final] ).
cnf(c_0_2965,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2383]),
[final] ).
cnf(c_0_2966,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2104]),
[final] ).
cnf(c_0_2967,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1527]),
[final] ).
cnf(c_0_2968,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_2324]),
[final] ).
cnf(c_0_2969,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_2324]),
[final] ).
cnf(c_0_2970,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2384,c_0_2104]),
[final] ).
cnf(c_0_2971,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_2318,c_0_2104]),
[final] ).
cnf(c_0_2972,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2104]),
[final] ).
cnf(c_0_2973,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2385,c_0_2104]),
[final] ).
cnf(c_0_2974,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2104]),
[final] ).
cnf(c_0_2975,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1438,c_0_2386]),
[final] ).
cnf(c_0_2976,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_2386]),
[final] ).
cnf(c_0_2977,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2387,c_0_2104]),
[final] ).
cnf(c_0_2978,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_4)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1959,c_0_1577]),
[final] ).
cnf(c_0_2979,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1544]),
[final] ).
cnf(c_0_2980,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1610,c_0_2103]),
[final] ).
cnf(c_0_2981,negated_conjecture,
( product(e_3,e_5,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2388,c_0_1578]),
[final] ).
cnf(c_0_2982,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2389]),
[final] ).
cnf(c_0_2983,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1546]),
[final] ).
cnf(c_0_2984,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2390]),
[final] ).
cnf(c_0_2985,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2391]),
[final] ).
cnf(c_0_2986,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2392]),
[final] ).
cnf(c_0_2987,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2323,c_0_1244]),
[final] ).
cnf(c_0_2988,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2040,c_0_2373]),
[final] ).
cnf(c_0_2989,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_2373]),
[final] ).
cnf(c_0_2990,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2373]),
[final] ).
cnf(c_0_2991,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2132,c_0_2103]),
[final] ).
cnf(c_0_2992,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_2103]),
[final] ).
cnf(c_0_2993,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1500]),
[final] ).
cnf(c_0_2994,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2103]),
[final] ).
cnf(c_0_2995,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1551]),
[final] ).
cnf(c_0_2996,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1741,c_0_2103]),
[final] ).
cnf(c_0_2997,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1199,c_0_2103]),
[final] ).
cnf(c_0_2998,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2083,c_0_2103]),
[final] ).
cnf(c_0_2999,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_1827,c_0_2103]),
[final] ).
cnf(c_0_3000,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2134,c_0_2103]),
[final] ).
cnf(c_0_3001,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1737]),
[final] ).
cnf(c_0_3002,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_1551]),c_0_1472]),
[final] ).
cnf(c_0_3003,negated_conjecture,
( product(e_1,e_4,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_2095]),c_0_1472]),
[final] ).
cnf(c_0_3004,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_2095]),
[final] ).
cnf(c_0_3005,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_5,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1952]),
[final] ).
cnf(c_0_3006,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2393,c_0_1244]),
[final] ).
cnf(c_0_3007,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2326]),
[final] ).
cnf(c_0_3008,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_4,e_5,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2394]),
[final] ).
cnf(c_0_3009,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1547]),
[final] ).
cnf(c_0_3010,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1522,c_0_1306]),
[final] ).
cnf(c_0_3011,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1522,c_0_1470]),
[final] ).
cnf(c_0_3012,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_1481]),
[final] ).
cnf(c_0_3013,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1473]),
[final] ).
cnf(c_0_3014,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1698]),
[final] ).
cnf(c_0_3015,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1491]),
[final] ).
cnf(c_0_3016,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1542]),
[final] ).
cnf(c_0_3017,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1509]),
[final] ).
cnf(c_0_3018,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_1,e_2,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2300]),
[final] ).
cnf(c_0_3019,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2097,c_0_1296]),
[final] ).
cnf(c_0_3020,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_842,c_0_2300]),
[final] ).
cnf(c_0_3021,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_1,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1684,c_0_2300]),c_0_420]),
[final] ).
cnf(c_0_3022,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_2300]),
[final] ).
cnf(c_0_3023,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_2300]),
[final] ).
cnf(c_0_3024,negated_conjecture,
( product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_110,c_0_1542]),
[final] ).
cnf(c_0_3025,negated_conjecture,
( product(e_5,X1,e_5)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1709]),
[final] ).
cnf(c_0_3026,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2395,c_0_1395]),
[final] ).
cnf(c_0_3027,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_2395,c_0_1244]),
[final] ).
cnf(c_0_3028,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_195,c_0_1376]),
[final] ).
cnf(c_0_3029,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_2396]),c_0_2397]),
[final] ).
cnf(c_0_3030,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1642]),c_0_2398]),
[final] ).
cnf(c_0_3031,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_1607]),c_0_110]),
[final] ).
cnf(c_0_3032,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_1607]),c_0_2075]),
[final] ).
cnf(c_0_3033,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_223,c_0_1458]),
[final] ).
cnf(c_0_3034,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_1458]),c_0_2075]),
[final] ).
cnf(c_0_3035,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2399]),
[final] ).
cnf(c_0_3036,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_1,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2342]),
[final] ).
cnf(c_0_3037,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2101]),
[final] ).
cnf(c_0_3038,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1841]),
[final] ).
cnf(c_0_3039,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_2101]),
[final] ).
cnf(c_0_3040,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_2101]),
[final] ).
cnf(c_0_3041,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2101]),
[final] ).
cnf(c_0_3042,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1841]),
[final] ).
cnf(c_0_3043,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1436]),
[final] ).
cnf(c_0_3044,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_2400]),c_0_74]),
[final] ).
cnf(c_0_3045,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_2401,c_0_1297]),
[final] ).
cnf(c_0_3046,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2402,c_0_1244]),
[final] ).
cnf(c_0_3047,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2138,c_0_1768]),
[final] ).
cnf(c_0_3048,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1617]),
[final] ).
cnf(c_0_3049,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_2403,c_0_1553]),c_0_1472]),
[final] ).
cnf(c_0_3050,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1553]),c_0_904]),c_0_1173]),c_0_1024]),
[final] ).
cnf(c_0_3051,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1294]),
[final] ).
cnf(c_0_3052,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_2404,c_0_2154]),
[final] ).
cnf(c_0_3053,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_92,c_0_2334]),
[final] ).
cnf(c_0_3054,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_92,c_0_2336]),
[final] ).
cnf(c_0_3055,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2405]),
[final] ).
cnf(c_0_3056,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_2345]),
[final] ).
cnf(c_0_3057,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_223,c_0_2345]),
[final] ).
cnf(c_0_3058,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2073]),
[final] ).
cnf(c_0_3059,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1396]),
[final] ).
cnf(c_0_3060,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_1396]),
[final] ).
cnf(c_0_3061,negated_conjecture,
( product(e_4,e_5,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1345]),c_0_354]),
[final] ).
cnf(c_0_3062,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2406]),
[final] ).
cnf(c_0_3063,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2407]),
[final] ).
cnf(c_0_3064,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2408]),
[final] ).
cnf(c_0_3065,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1897,c_0_2409]),c_0_1411]),
[final] ).
cnf(c_0_3066,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_1448]),c_0_345]),
[final] ).
cnf(c_0_3067,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2410]),
[final] ).
cnf(c_0_3068,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2133,c_0_2411]),
[final] ).
cnf(c_0_3069,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2411]),
[final] ).
cnf(c_0_3070,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1733]),
[final] ).
cnf(c_0_3071,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2035]),
[final] ).
cnf(c_0_3072,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_115,c_0_2347]),
[final] ).
cnf(c_0_3073,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1506]),
[final] ).
cnf(c_0_3074,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_2412,c_0_1188]),
[final] ).
cnf(c_0_3075,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1526,c_0_2339]),
[final] ).
cnf(c_0_3076,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_1756,c_0_1852]),c_0_2129]),
[final] ).
cnf(c_0_3077,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_1463]),
[final] ).
cnf(c_0_3078,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1897,c_0_2413]),c_0_1411]),
[final] ).
cnf(c_0_3079,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2348]),
[final] ).
cnf(c_0_3080,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1655]),
[final] ).
cnf(c_0_3081,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1422]),
[final] ).
cnf(c_0_3082,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2414]),
[final] ).
cnf(c_0_3083,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1619]),
[final] ).
cnf(c_0_3084,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2141]),
[final] ).
cnf(c_0_3085,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1586]),
[final] ).
cnf(c_0_3086,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2415,c_0_1260]),
[final] ).
cnf(c_0_3087,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2416]),
[final] ).
cnf(c_0_3088,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_2283,c_0_1284]),
[final] ).
cnf(c_0_3089,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_2417]),
[final] ).
cnf(c_0_3090,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2388,c_0_1001]),
[final] ).
cnf(c_0_3091,negated_conjecture,
( product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1824,c_0_1845]),
[final] ).
cnf(c_0_3092,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2376,c_0_2091]),
[final] ).
cnf(c_0_3093,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1741,c_0_2091]),
[final] ).
cnf(c_0_3094,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1199,c_0_2091]),
[final] ).
cnf(c_0_3095,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_2418,c_0_2091]),
[final] ).
cnf(c_0_3096,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_227,c_0_2091]),
[final] ).
cnf(c_0_3097,negated_conjecture,
( ~ product(e_5,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1748]),
[final] ).
cnf(c_0_3098,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1748]),
[final] ).
cnf(c_0_3099,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2419]),
[final] ).
cnf(c_0_3100,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1508]),
[final] ).
cnf(c_0_3101,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2145]),
[final] ).
cnf(c_0_3102,negated_conjecture,
( ~ product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2420,c_0_2421]),
[final] ).
cnf(c_0_3103,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_1843]),
[final] ).
cnf(c_0_3104,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_2361]),
[final] ).
cnf(c_0_3105,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2142]),
[final] ).
cnf(c_0_3106,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2422,c_0_2154]),
[final] ).
cnf(c_0_3107,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_4,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1330,c_0_1480]),
[final] ).
cnf(c_0_3108,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2423]),
[final] ).
cnf(c_0_3109,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_2145]),
[final] ).
cnf(c_0_3110,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_1392]),
[final] ).
cnf(c_0_3111,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_1392]),
[final] ).
cnf(c_0_3112,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_1392]),
[final] ).
cnf(c_0_3113,negated_conjecture,
( ~ product(e_5,e_1,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_195,c_0_1392]),
[final] ).
cnf(c_0_3114,negated_conjecture,
( ~ product(e_5,e_1,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_242,c_0_1392]),
[final] ).
cnf(c_0_3115,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2424,c_0_1395]),
[final] ).
cnf(c_0_3116,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_2424,c_0_1244]),
[final] ).
cnf(c_0_3117,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_2425,c_0_1244]),
[final] ).
cnf(c_0_3118,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2360,c_0_1395]),
[final] ).
cnf(c_0_3119,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2360,c_0_1244]),
[final] ).
cnf(c_0_3120,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_353,c_0_1356]),
[final] ).
cnf(c_0_3121,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2426,c_0_2421]),
[final] ).
cnf(c_0_3122,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1436]),
[final] ).
cnf(c_0_3123,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2427,c_0_1365]),
[final] ).
cnf(c_0_3124,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_4,e_5)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2427,c_0_2154]),
[final] ).
cnf(c_0_3125,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_5,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2428]),
[final] ).
cnf(c_0_3126,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2429]),
[final] ).
cnf(c_0_3127,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2072]),
[final] ).
cnf(c_0_3128,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1490]),
[final] ).
cnf(c_0_3129,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1413,c_0_1395]),
[final] ).
cnf(c_0_3130,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1413,c_0_1244]),
[final] ).
cnf(c_0_3131,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2430,c_0_1365]),
[final] ).
cnf(c_0_3132,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2430,c_0_1008]),
[final] ).
cnf(c_0_3133,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_4,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_2430,c_0_2154]),
[final] ).
cnf(c_0_3134,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1331]),
[final] ).
cnf(c_0_3135,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1331]),
[final] ).
cnf(c_0_3136,negated_conjecture,
( ~ product(e_5,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_1331]),
[final] ).
cnf(c_0_3137,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1306]),
[final] ).
cnf(c_0_3138,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_2085,c_0_1004]),
[final] ).
cnf(c_0_3139,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1416]),c_0_61]),
[final] ).
cnf(c_0_3140,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2431]),
[final] ).
cnf(c_0_3141,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_2,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1317,c_0_1228]),
[final] ).
cnf(c_0_3142,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_3,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1317,c_0_1001]),
[final] ).
cnf(c_0_3143,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_1,e_3,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1448]),
[final] ).
cnf(c_0_3144,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1935,c_0_1308]),
[final] ).
cnf(c_0_3145,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1308]),
[final] ).
cnf(c_0_3146,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_1448]),
[final] ).
cnf(c_0_3147,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1448]),
[final] ).
cnf(c_0_3148,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_1261]),
[final] ).
cnf(c_0_3149,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1359]),
[final] ).
cnf(c_0_3150,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_2410]),
[final] ).
cnf(c_0_3151,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2432]),
[final] ).
cnf(c_0_3152,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_2411]),
[final] ).
cnf(c_0_3153,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2411]),
[final] ).
cnf(c_0_3154,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_61,c_0_1733]),
[final] ).
cnf(c_0_3155,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1733]),c_0_1939]),
[final] ).
cnf(c_0_3156,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1686]),c_0_134]),
[final] ).
cnf(c_0_3157,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_1686]),
[final] ).
cnf(c_0_3158,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_1686]),c_0_2369]),
[final] ).
cnf(c_0_3159,negated_conjecture,
( product(e_2,e_4,e_1)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1160,c_0_1686]),c_0_2433]),
[final] ).
cnf(c_0_3160,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1402]),c_0_2434]),
[final] ).
cnf(c_0_3161,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1954]),c_0_134]),
[final] ).
cnf(c_0_3162,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_1954]),
[final] ).
cnf(c_0_3163,negated_conjecture,
( product(e_2,e_3,e_1)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_1954]),c_0_132]),
[final] ).
cnf(c_0_3164,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_1)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1422]),
[final] ).
cnf(c_0_3165,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_1518]),
[final] ).
cnf(c_0_3166,negated_conjecture,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_354,c_0_2435]),
[final] ).
cnf(c_0_3167,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_354,c_0_2436]),
[final] ).
cnf(c_0_3168,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1586]),
[final] ).
cnf(c_0_3169,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_1383,c_0_1281]),c_0_345]),
[final] ).
cnf(c_0_3170,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_2437,c_0_1439]),
[final] ).
cnf(c_0_3171,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1470]),
[final] ).
cnf(c_0_3172,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2438]),
[final] ).
cnf(c_0_3173,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1296]),
[final] ).
cnf(c_0_3174,negated_conjecture,
( ~ product(e_5,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1296]),
[final] ).
cnf(c_0_3175,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_345,c_0_1296]),
[final] ).
cnf(c_0_3176,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_1267,c_0_1260]),
[final] ).
cnf(c_0_3177,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_354,c_0_2037]),
[final] ).
cnf(c_0_3178,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2439]),
[final] ).
cnf(c_0_3179,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1284]),
[final] ).
cnf(c_0_3180,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2440]),
[final] ).
cnf(c_0_3181,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1434,c_0_1275]),
[final] ).
cnf(c_0_3182,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2441,c_0_1275]),
[final] ).
cnf(c_0_3183,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2415,c_0_1275]),
[final] ).
cnf(c_0_3184,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1275]),
[final] ).
cnf(c_0_3185,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1524]),
[final] ).
cnf(c_0_3186,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1592]),
[final] ).
cnf(c_0_3187,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1504]),
[final] ).
cnf(c_0_3188,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_341,c_0_1284]),
[final] ).
cnf(c_0_3189,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_227,c_0_1284]),
[final] ).
cnf(c_0_3190,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1261]),
[final] ).
cnf(c_0_3191,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_1)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1769]),
[final] ).
cnf(c_0_3192,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1247]),
[final] ).
cnf(c_0_3193,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_2442,c_0_1221]),
[final] ).
cnf(c_0_3194,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2443]),
[final] ).
cnf(c_0_3195,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_5,e_1)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_2443]),c_0_227]),
[final] ).
cnf(c_0_3196,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_2444]),c_0_114]),
[final] ).
cnf(c_0_3197,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2155]),
[final] ).
cnf(c_0_3198,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1691]),
[final] ).
cnf(c_0_3199,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2445]),
[final] ).
cnf(c_0_3200,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_2445]),
[final] ).
cnf(c_0_3201,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_182,c_0_2445]),
[final] ).
cnf(c_0_3202,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1648,c_0_1228]),
[final] ).
cnf(c_0_3203,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1971]),
[final] ).
cnf(c_0_3204,negated_conjecture,
( product(e_4,e_3,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_223,c_0_1483]),
[final] ).
cnf(c_0_3205,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_2446]),
[final] ).
cnf(c_0_3206,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_2446]),
[final] ).
cnf(c_0_3207,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1441]),
[final] ).
cnf(c_0_3208,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2447]),
[final] ).
cnf(c_0_3209,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2448,c_0_1439]),c_0_223]),
[final] ).
cnf(c_0_3210,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2449]),
[final] ).
cnf(c_0_3211,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_2449]),
[final] ).
cnf(c_0_3212,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_2098]),c_0_92]),c_0_115]),
[final] ).
cnf(c_0_3213,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1265]),
[final] ).
cnf(c_0_3214,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_2450]),c_0_114]),
[final] ).
cnf(c_0_3215,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_2451]),c_0_114]),
[final] ).
cnf(c_0_3216,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_341,c_0_2143]),c_0_354]),
[final] ).
cnf(c_0_3217,negated_conjecture,
( product(e_4,e_5,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2452,c_0_1439]),c_0_223]),
[final] ).
cnf(c_0_3218,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_2156]),c_0_223]),
[final] ).
cnf(c_0_3219,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2453,c_0_1228]),
[final] ).
cnf(c_0_3220,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2453,c_0_1001]),
[final] ).
cnf(c_0_3221,negated_conjecture,
( product(e_4,e_5,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_2454]),c_0_67]),
[final] ).
cnf(c_0_3222,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_2455]),c_0_67]),
[final] ).
cnf(c_0_3223,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_5,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1770]),
[final] ).
cnf(c_0_3224,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_2456]),
[final] ).
cnf(c_0_3225,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_1978]),
[final] ).
cnf(c_0_3226,negated_conjecture,
( product(e_3,e_5,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2457]),
[final] ).
cnf(c_0_3227,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_2458]),
[final] ).
cnf(c_0_3228,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_2168,c_0_1228]),
[final] ).
cnf(c_0_3229,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_2459]),c_0_67]),
[final] ).
cnf(c_0_3230,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1859]),
[final] ).
cnf(c_0_3231,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1399]),
[final] ).
cnf(c_0_3232,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_5,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2460]),
[final] ).
cnf(c_0_3233,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_5,e_2)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_2460]),
[final] ).
cnf(c_0_3234,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1693]),
[final] ).
cnf(c_0_3235,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1650]),
[final] ).
cnf(c_0_3236,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_1693]),
[final] ).
cnf(c_0_3237,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1650]),
[final] ).
cnf(c_0_3238,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2461]),
[final] ).
cnf(c_0_3239,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_2461]),
[final] ).
cnf(c_0_3240,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2462]),
[final] ).
cnf(c_0_3241,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_2463]),
[final] ).
cnf(c_0_3242,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_2463]),
[final] ).
cnf(c_0_3243,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2464]),
[final] ).
cnf(c_0_3244,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_2465]),
[final] ).
cnf(c_0_3245,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1989]),
[final] ).
cnf(c_0_3246,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2173]),
[final] ).
cnf(c_0_3247,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_1942]),
[final] ).
cnf(c_0_3248,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_1942]),
[final] ).
cnf(c_0_3249,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1989]),
[final] ).
cnf(c_0_3250,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1989]),
[final] ).
cnf(c_0_3251,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_1)
| product(e_3,X1,e_4)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1753]),
[final] ).
cnf(c_0_3252,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1456]),c_0_352]),
[final] ).
cnf(c_0_3253,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_1973]),
[final] ).
cnf(c_0_3254,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_2,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_341,c_0_1973]),
[final] ).
cnf(c_0_3255,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1320]),
[final] ).
cnf(c_0_3256,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1766]),
[final] ).
cnf(c_0_3257,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_4,e_2,e_1)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2421]),
[final] ).
cnf(c_0_3258,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2466,c_0_2421]),
[final] ).
cnf(c_0_3259,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1320]),
[final] ).
cnf(c_0_3260,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_352,c_0_1976]),c_0_223]),
[final] ).
cnf(c_0_3261,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1205]),
[final] ).
cnf(c_0_3262,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_1292,c_0_1365]),
[final] ).
cnf(c_0_3263,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1292,c_0_2154]),
[final] ).
cnf(c_0_3264,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,X1,e_4)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2467]),
[final] ).
cnf(c_0_3265,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1404]),
[final] ).
cnf(c_0_3266,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_5,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1187,c_0_1439]),c_0_360]),
[final] ).
cnf(c_0_3267,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1694,c_0_1439]),c_0_360]),
[final] ).
cnf(c_0_3268,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1114]),
[final] ).
cnf(c_0_3269,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_2467]),
[final] ).
cnf(c_0_3270,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_61,c_0_1338]),
[final] ).
cnf(c_0_3271,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_1132]),
[final] ).
cnf(c_0_3272,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1132]),
[final] ).
cnf(c_0_3273,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2468]),
[final] ).
cnf(c_0_3274,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_2468]),c_0_227]),
[final] ).
cnf(c_0_3275,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2092]),c_0_227]),
[final] ).
cnf(c_0_3276,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1554]),
[final] ).
cnf(c_0_3277,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_1554]),c_0_352]),
[final] ).
cnf(c_0_3278,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2469]),
[final] ).
cnf(c_0_3279,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_2469]),
[final] ).
cnf(c_0_3280,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2470]),
[final] ).
cnf(c_0_3281,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1990]),
[final] ).
cnf(c_0_3282,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1214]),
[final] ).
cnf(c_0_3283,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1990]),
[final] ).
cnf(c_0_3284,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_4,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_2471]),c_0_223]),
[final] ).
cnf(c_0_3285,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1226]),
[final] ).
cnf(c_0_3286,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_1839]),
[final] ).
cnf(c_0_3287,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_5,e_2)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1692]),
[final] ).
cnf(c_0_3288,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2472]),
[final] ).
cnf(c_0_3289,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_2472]),
[final] ).
cnf(c_0_3290,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_2472]),
[final] ).
cnf(c_0_3291,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2473]),
[final] ).
cnf(c_0_3292,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_5,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1946]),
[final] ).
cnf(c_0_3293,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1201]),
[final] ).
cnf(c_0_3294,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1177]),
[final] ).
cnf(c_0_3295,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1779]),
[final] ).
cnf(c_0_3296,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1450,c_0_1779]),
[final] ).
cnf(c_0_3297,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2474,c_0_1779]),
[final] ).
cnf(c_0_3298,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_1779]),
[final] ).
cnf(c_0_3299,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_341,c_0_1779]),
[final] ).
cnf(c_0_3300,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1455]),
[final] ).
cnf(c_0_3301,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1159]),
[final] ).
cnf(c_0_3302,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1159]),
[final] ).
cnf(c_0_3303,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_4,e_2,e_3)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_117,c_0_1190]),
[final] ).
cnf(c_0_3304,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_2475]),c_0_64]),
[final] ).
cnf(c_0_3305,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_2475]),c_0_227]),
[final] ).
cnf(c_0_3306,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_2476]),c_0_67]),
[final] ).
cnf(c_0_3307,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_2477]),c_0_67]),
[final] ).
cnf(c_0_3308,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_2478]),c_0_67]),
[final] ).
cnf(c_0_3309,negated_conjecture,
( product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_2479]),c_0_227]),
[final] ).
cnf(c_0_3310,negated_conjecture,
( product(e_4,e_2,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_1123]),c_0_67]),
[final] ).
cnf(c_0_3311,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1088]),
[final] ).
cnf(c_0_3312,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1088]),
[final] ).
cnf(c_0_3313,negated_conjecture,
( product(e_4,e_2,e_3)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_1088]),
[final] ).
cnf(c_0_3314,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1310]),c_0_92]),
[final] ).
cnf(c_0_3315,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1310]),
[final] ).
cnf(c_0_3316,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_1310]),
[final] ).
cnf(c_0_3317,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_2480]),c_0_115]),c_0_92]),
[final] ).
cnf(c_0_3318,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2187]),c_0_227]),
[final] ).
cnf(c_0_3319,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2248,c_0_1251]),c_0_435]),c_0_2481]),
[final] ).
cnf(c_0_3320,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2482]),
[final] ).
cnf(c_0_3321,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_2482]),
[final] ).
cnf(c_0_3322,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_3,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1706]),
[final] ).
cnf(c_0_3323,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_1)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2483]),
[final] ).
cnf(c_0_3324,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_5,e_1)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1166]),
[final] ).
cnf(c_0_3325,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_1157]),c_0_242]),
[final] ).
cnf(c_0_3326,negated_conjecture,
( product(e_2,e_5,e_1)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1160,c_0_1157]),c_0_227]),
[final] ).
cnf(c_0_3327,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1941]),
[final] ).
cnf(c_0_3328,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_564,c_0_1868]),
[final] ).
cnf(c_0_3329,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_564,c_0_1295]),
[final] ).
cnf(c_0_3330,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1941]),
[final] ).
cnf(c_0_3331,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2484]),
[final] ).
cnf(c_0_3332,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2485]),
[final] ).
cnf(c_0_3333,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_227,c_0_2484]),
[final] ).
cnf(c_0_3334,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1868]),
[final] ).
cnf(c_0_3335,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_227,c_0_2485]),
[final] ).
cnf(c_0_3336,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2486]),
[final] ).
cnf(c_0_3337,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1295]),
[final] ).
cnf(c_0_3338,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_2487,c_0_1868]),
[final] ).
cnf(c_0_3339,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_1868]),
[final] ).
cnf(c_0_3340,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_1868]),
[final] ).
cnf(c_0_3341,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_1868]),
[final] ).
cnf(c_0_3342,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_2486]),
[final] ).
cnf(c_0_3343,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_227,c_0_2486]),
[final] ).
cnf(c_0_3344,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1757]),
[final] ).
cnf(c_0_3345,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_1295]),
[final] ).
cnf(c_0_3346,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_1295]),
[final] ).
cnf(c_0_3347,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1262]),
[final] ).
cnf(c_0_3348,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1782]),
[final] ).
cnf(c_0_3349,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1282]),
[final] ).
cnf(c_0_3350,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_2488]),c_0_1160]),c_0_402]),c_0_2489]),
[final] ).
cnf(c_0_3351,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_1108]),c_0_402]),
[final] ).
cnf(c_0_3352,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_1108]),c_0_352]),
[final] ).
cnf(c_0_3353,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_2490]),c_0_2491]),
[final] ).
cnf(c_0_3354,negated_conjecture,
( product(e_3,e_4,e_5)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1762]),c_0_132]),
[final] ).
cnf(c_0_3355,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_1076]),
[final] ).
cnf(c_0_3356,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_242,c_0_1049]),
[final] ).
cnf(c_0_3357,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_5)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2492,c_0_1126]),c_0_341]),
[final] ).
cnf(c_0_3358,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_2493]),c_0_227]),
[final] ).
cnf(c_0_3359,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_1823]),
[final] ).
cnf(c_0_3360,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1311]),
[final] ).
cnf(c_0_3361,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1311]),
[final] ).
cnf(c_0_3362,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1120,c_0_1228]),
[final] ).
cnf(c_0_3363,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1591,c_0_1109]),
[final] ).
cnf(c_0_3364,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_4,e_3,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_2494,c_0_1126]),
[final] ).
cnf(c_0_3365,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2495]),
[final] ).
cnf(c_0_3366,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1348]),
[final] ).
cnf(c_0_3367,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_5,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1365]),
[final] ).
cnf(c_0_3368,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_2495]),
[final] ).
cnf(c_0_3369,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1348]),
[final] ).
cnf(c_0_3370,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1348]),
[final] ).
cnf(c_0_3371,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_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1193]),
[final] ).
cnf(c_0_3372,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_1193]),c_0_61]),
[final] ).
cnf(c_0_3373,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_1172]),c_0_2496]),
[final] ).
cnf(c_0_3374,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1997]),
[final] ).
cnf(c_0_3375,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1997]),
[final] ).
cnf(c_0_3376,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_1997]),
[final] ).
cnf(c_0_3377,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_1997]),
[final] ).
cnf(c_0_3378,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1997]),
[final] ).
cnf(c_0_3379,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_5,X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1512]),
[final] ).
cnf(c_0_3380,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_1512]),
[final] ).
cnf(c_0_3381,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1512]),
[final] ).
cnf(c_0_3382,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_1512]),
[final] ).
cnf(c_0_3383,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_1512]),
[final] ).
cnf(c_0_3384,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1512]),
[final] ).
cnf(c_0_3385,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2497]),
[final] ).
cnf(c_0_3386,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_1016]),
[final] ).
cnf(c_0_3387,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_1016]),
[final] ).
cnf(c_0_3388,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_995]),
[final] ).
cnf(c_0_3389,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1449]),
[final] ).
cnf(c_0_3390,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1185]),
[final] ).
cnf(c_0_3391,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2487,c_0_1449]),
[final] ).
cnf(c_0_3392,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_1449]),
[final] ).
cnf(c_0_3393,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_1185]),
[final] ).
cnf(c_0_3394,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_1185]),
[final] ).
cnf(c_0_3395,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_341,c_0_991]),
[final] ).
cnf(c_0_3396,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_2498]),c_0_92]),
[final] ).
cnf(c_0_3397,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2499,c_0_1126]),c_0_341]),
[final] ).
cnf(c_0_3398,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_2195]),
[final] ).
cnf(c_0_3399,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_2500]),c_0_92]),
[final] ).
cnf(c_0_3400,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_5,e_1)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_2501]),c_0_134]),
[final] ).
cnf(c_0_3401,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_4,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_1408]),c_0_402]),
[final] ).
cnf(c_0_3402,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_2502]),c_0_134]),
[final] ).
cnf(c_0_3403,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1658]),
[final] ).
cnf(c_0_3404,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_983]),
[final] ).
cnf(c_0_3405,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_983]),
[final] ).
cnf(c_0_3406,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_983]),
[final] ).
cnf(c_0_3407,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2487,c_0_955]),
[final] ).
cnf(c_0_3408,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1684,c_0_1272]),
[final] ).
cnf(c_0_3409,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1263,c_0_2154]),
[final] ).
cnf(c_0_3410,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_2503,c_0_517]),
[final] ).
cnf(c_0_3411,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_960,c_0_1126]),
[final] ).
cnf(c_0_3412,plain,
( ~ product(e_3,e_2,e_5)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_2504]),
[final] ).
cnf(c_0_3413,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_1191]),
[final] ).
cnf(c_0_3414,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_1191]),
[final] ).
cnf(c_0_3415,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1444]),
[final] ).
cnf(c_0_3416,negated_conjecture,
( ~ product(e_4,e_5,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_1444]),
[final] ).
cnf(c_0_3417,negated_conjecture,
( ~ product(e_4,e_2,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_1444]),
[final] ).
cnf(c_0_3418,negated_conjecture,
( ~ product(e_4,e_3,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_1444]),
[final] ).
cnf(c_0_3419,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_283,c_0_1444]),
[final] ).
cnf(c_0_3420,negated_conjecture,
( ~ product(e_4,e_5,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_2505]),
[final] ).
cnf(c_0_3421,negated_conjecture,
( ~ product(e_4,e_2,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_2505]),
[final] ).
cnf(c_0_3422,negated_conjecture,
( ~ product(e_4,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_2505]),
[final] ).
cnf(c_0_3423,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2505]),
[final] ).
cnf(c_0_3424,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1272]),
[final] ).
cnf(c_0_3425,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_404,c_0_2505]),
[final] ).
cnf(c_0_3426,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_283,c_0_2505]),
[final] ).
cnf(c_0_3427,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_452,c_0_1717]),
[final] ).
cnf(c_0_3428,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_1717]),
[final] ).
cnf(c_0_3429,negated_conjecture,
( ~ product(e_5,e_2,e_4)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_1272]),
[final] ).
cnf(c_0_3430,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1264]),
[final] ).
cnf(c_0_3431,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_1717]),
[final] ).
cnf(c_0_3432,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_1717]),
[final] ).
cnf(c_0_3433,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1669]),
[final] ).
cnf(c_0_3434,negated_conjecture,
( product(e_4,e_4,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2506,c_0_2507]),c_0_942]),
[final] ).
cnf(c_0_3435,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2508,c_0_2507]),c_0_942]),
[final] ).
cnf(c_0_3436,negated_conjecture,
( product(e_4,e_5,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2487,c_0_1269]),c_0_2509]),
[final] ).
cnf(c_0_3437,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_2510]),c_0_345]),
[final] ).
cnf(c_0_3438,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2487,c_0_2511]),
[final] ).
cnf(c_0_3439,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_952]),c_0_227]),
[final] ).
cnf(c_0_3440,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_938]),
[final] ).
cnf(c_0_3441,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_938]),
[final] ).
cnf(c_0_3442,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_984,c_0_956]),
[final] ).
cnf(c_0_3443,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_117,c_0_949]),
[final] ).
cnf(c_0_3444,negated_conjecture,
( product(e_4,e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2487,c_0_1860]),c_0_2509]),
[final] ).
cnf(c_0_3445,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2487,c_0_1867]),c_0_2509]),
[final] ).
cnf(c_0_3446,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2487,c_0_2512]),c_0_2509]),
[final] ).
cnf(c_0_3447,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_2512]),
[final] ).
cnf(c_0_3448,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1188]),
[final] ).
cnf(c_0_3449,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_5,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2513,c_0_755]),c_0_134]),
[final] ).
cnf(c_0_3450,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_919]),c_0_223]),
[final] ).
cnf(c_0_3451,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1594]),
[final] ).
cnf(c_0_3452,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_1594]),
[final] ).
cnf(c_0_3453,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_5,e_3)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_1594]),
[final] ).
cnf(c_0_3454,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1180]),
[final] ).
cnf(c_0_3455,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_1180]),
[final] ).
cnf(c_0_3456,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_1180]),
[final] ).
cnf(c_0_3457,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1142]),c_0_117]),
[final] ).
cnf(c_0_3458,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_2,e_5)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_940]),
[final] ).
cnf(c_0_3459,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2514]),
[final] ).
cnf(c_0_3460,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2515,c_0_755]),c_0_373]),c_0_134]),
[final] ).
cnf(c_0_3461,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2516,c_0_1126]),c_0_373]),c_0_117]),
[final] ).
cnf(c_0_3462,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_175,c_0_956]),
[final] ).
cnf(c_0_3463,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_943]),
[final] ).
cnf(c_0_3464,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2176]),c_0_227]),
[final] ).
cnf(c_0_3465,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2203]),
[final] ).
cnf(c_0_3466,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_1588]),
[final] ).
cnf(c_0_3467,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1298]),c_0_134]),
[final] ).
cnf(c_0_3468,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_1298]),c_0_115]),
[final] ).
cnf(c_0_3469,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_2001]),
[final] ).
cnf(c_0_3470,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_2001]),
[final] ).
cnf(c_0_3471,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_5,e_2,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1228]),
[final] ).
cnf(c_0_3472,negated_conjecture,
( product(e_5,e_4,e_3)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_994]),c_0_353]),
[final] ).
cnf(c_0_3473,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_4,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_956]),
[final] ).
cnf(c_0_3474,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1938,c_0_1439]),
[final] ).
cnf(c_0_3475,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_1340]),
[final] ).
cnf(c_0_3476,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_932]),
[final] ).
cnf(c_0_3477,negated_conjecture,
( product(e_3,e_1,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_932]),
[final] ).
cnf(c_0_3478,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_897]),
[final] ).
cnf(c_0_3479,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_918]),
[final] ).
cnf(c_0_3480,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_918]),
[final] ).
cnf(c_0_3481,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_2517]),c_0_242]),
[final] ).
cnf(c_0_3482,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2205]),
[final] ).
cnf(c_0_3483,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_849]),
[final] ).
cnf(c_0_3484,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_2518]),c_0_404]),c_0_283]),c_0_182]),
[final] ).
cnf(c_0_3485,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_2519]),c_0_353]),
[final] ).
cnf(c_0_3486,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_816]),c_0_135]),
[final] ).
cnf(c_0_3487,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,e_3,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_838]),
[final] ).
cnf(c_0_3488,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_984,c_0_2520]),c_0_117]),
[final] ).
cnf(c_0_3489,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_799]),
[final] ).
cnf(c_0_3490,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_799]),
[final] ).
cnf(c_0_3491,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_799]),
[final] ).
cnf(c_0_3492,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_799]),
[final] ).
cnf(c_0_3493,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_805,c_0_797]),c_0_86]),
[final] ).
cnf(c_0_3494,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_175,c_0_791]),
[final] ).
cnf(c_0_3495,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_175,c_0_2520]),
[final] ).
cnf(c_0_3496,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_5,e_3,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1439]),
[final] ).
cnf(c_0_3497,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1439]),
[final] ).
cnf(c_0_3498,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1439]),
[final] ).
cnf(c_0_3499,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_797]),
[final] ).
cnf(c_0_3500,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_797]),
[final] ).
cnf(c_0_3501,negated_conjecture,
( ~ product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_795]),
[final] ).
cnf(c_0_3502,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_795]),
[final] ).
cnf(c_0_3503,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_4,e_3)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_795]),
[final] ).
cnf(c_0_3504,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_795]),
[final] ).
cnf(c_0_3505,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_862,c_0_791]),
[final] ).
cnf(c_0_3506,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_4,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_791]),
[final] ).
cnf(c_0_3507,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_135,c_0_791]),
[final] ).
cnf(c_0_3508,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_791]),
[final] ).
cnf(c_0_3509,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_791]),
[final] ).
cnf(c_0_3510,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_791]),
[final] ).
cnf(c_0_3511,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_3,e_5,e_3)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2520]),
[final] ).
cnf(c_0_3512,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_135,c_0_2520]),
[final] ).
cnf(c_0_3513,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_2520]),
[final] ).
cnf(c_0_3514,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_2520]),
[final] ).
cnf(c_0_3515,negated_conjecture,
( ~ product(e_3,e_3,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_2521]),
[final] ).
cnf(c_0_3516,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_404,c_0_2521]),
[final] ).
cnf(c_0_3517,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2522,c_0_2208]),c_0_114]),
[final] ).
cnf(c_0_3518,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_3,e_2,e_3)
| ~ product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2208]),
[final] ).
cnf(c_0_3519,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_750]),c_0_117]),
[final] ).
cnf(c_0_3520,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_3,e_2)
| ~ product(e_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_750]),c_0_115]),
[final] ).
cnf(c_0_3521,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_2523]),
[final] ).
cnf(c_0_3522,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,X1,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2524]),
[final] ).
cnf(c_0_3523,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,X1,e_1)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_1878]),
[final] ).
cnf(c_0_3524,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_2524]),
[final] ).
cnf(c_0_3525,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_1878]),
[final] ).
cnf(c_0_3526,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1719]),
[final] ).
cnf(c_0_3527,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_1719]),
[final] ).
cnf(c_0_3528,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_1719]),
[final] ).
cnf(c_0_3529,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1671]),c_0_134]),
[final] ).
cnf(c_0_3530,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_1671]),c_0_135]),
[final] ).
cnf(c_0_3531,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_736]),c_0_132]),
[final] ).
cnf(c_0_3532,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_736]),
[final] ).
cnf(c_0_3533,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_725]),
[final] ).
cnf(c_0_3534,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_728]),c_0_134]),
[final] ).
cnf(c_0_3535,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_732]),c_0_2525]),
[final] ).
cnf(c_0_3536,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_352,c_0_732]),
[final] ).
cnf(c_0_3537,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_732]),
[final] ).
cnf(c_0_3538,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_732]),
[final] ).
cnf(c_0_3539,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2526]),
[final] ).
cnf(c_0_3540,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1593]),
[final] ).
cnf(c_0_3541,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_1593]),
[final] ).
cnf(c_0_3542,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_4,e_2,e_2)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1256]),
[final] ).
cnf(c_0_3543,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_704]),c_0_84]),
[final] ).
cnf(c_0_3544,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1840,c_0_944]),
[final] ).
cnf(c_0_3545,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2527,c_0_755]),c_0_134]),
[final] ).
cnf(c_0_3546,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_779]),
[final] ).
cnf(c_0_3547,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,e_4,e_2)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_779]),
[final] ).
cnf(c_0_3548,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_779]),
[final] ).
cnf(c_0_3549,negated_conjecture,
( ~ product(e_4,e_3,e_3)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_779]),
[final] ).
cnf(c_0_3550,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_3,e_4,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_944]),
[final] ).
cnf(c_0_3551,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_3,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_755]),
[final] ).
cnf(c_0_3552,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_4,e_2,e_4)
| ~ product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1126]),
[final] ).
cnf(c_0_3553,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_944]),
[final] ).
cnf(c_0_3554,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_755]),
[final] ).
cnf(c_0_3555,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_1126]),
[final] ).
cnf(c_0_3556,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_2528,c_0_2529]),
[final] ).
cnf(c_0_3557,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_957,c_0_2529]),c_0_623]),c_0_67]),
[final] ).
cnf(c_0_3558,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_655,c_0_2529]),
[final] ).
cnf(c_0_3559,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_117,c_0_2529]),
[final] ).
cnf(c_0_3560,negated_conjecture,
( ~ product(e_4,e_5,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_2529]),
[final] ).
cnf(c_0_3561,negated_conjecture,
( ~ product(e_4,e_2,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_114,c_0_2529]),
[final] ).
cnf(c_0_3562,negated_conjecture,
( ~ product(e_4,e_3,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_2529]),
[final] ).
cnf(c_0_3563,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_4,e_4,e_3)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2529]),
[final] ).
cnf(c_0_3564,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_682]),c_0_195]),
[final] ).
cnf(c_0_3565,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_4,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_1972]),c_0_402]),
[final] ).
cnf(c_0_3566,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_2530]),c_0_227]),
[final] ).
cnf(c_0_3567,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_656]),c_0_353]),
[final] ).
cnf(c_0_3568,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1450,c_0_641]),
[final] ).
cnf(c_0_3569,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_632]),
[final] ).
cnf(c_0_3570,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_632]),
[final] ).
cnf(c_0_3571,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_612]),
[final] ).
cnf(c_0_3572,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_182,c_0_612]),
[final] ).
cnf(c_0_3573,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2531,c_0_130]),c_0_113]),c_0_144]),
[final] ).
cnf(c_0_3574,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_2532]),c_0_227]),
[final] ).
cnf(c_0_3575,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_861]),c_0_67]),
[final] ).
cnf(c_0_3576,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_815]),c_0_84]),c_0_117]),
[final] ).
cnf(c_0_3577,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_1)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_2533]),c_0_353]),
[final] ).
cnf(c_0_3578,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2534]),c_0_84]),c_0_227]),
[final] ).
cnf(c_0_3579,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2535]),c_0_114]),
[final] ).
cnf(c_0_3580,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_1)
| product(e_5,e_4,e_2)
| product(e_4,e_2,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1786]),
[final] ).
cnf(c_0_3581,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_2536]),c_0_117]),
[final] ).
cnf(c_0_3582,negated_conjecture,
( product(e_4,e_5,e_5)
| 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_3,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_2034]),
[final] ).
cnf(c_0_3583,negated_conjecture,
( product(e_4,e_5,e_5)
| 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_3,e_5)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2034]),
[final] ).
cnf(c_0_3584,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_2537]),
[final] ).
cnf(c_0_3585,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1793]),
[final] ).
cnf(c_0_3586,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_5,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2538,c_0_2232]),c_0_283]),
[final] ).
cnf(c_0_3587,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_774]),c_0_353]),
[final] ).
cnf(c_0_3588,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2539,c_0_167]),c_0_113]),c_0_461]),c_0_173]),
[final] ).
cnf(c_0_3589,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2539,c_0_130]),c_0_113]),c_0_144]),c_0_143]),
[final] ).
cnf(c_0_3590,negated_conjecture,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2539,c_0_99]),c_0_113]),c_0_192]),c_0_2509]),
[final] ).
cnf(c_0_3591,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_5)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2540]),
[final] ).
cnf(c_0_3592,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_352,c_0_2540]),
[final] ).
cnf(c_0_3593,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_2541]),
[final] ).
cnf(c_0_3594,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_2541]),
[final] ).
cnf(c_0_3595,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2542]),
[final] ).
cnf(c_0_3596,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2543,c_0_130]),c_0_113]),
[final] ).
cnf(c_0_3597,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,X1,e_2)
| ~ product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2544]),
[final] ).
cnf(c_0_3598,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,X1,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_1140]),
[final] ).
cnf(c_0_3599,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,X1,e_2)
| ~ product(X1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2545]),
[final] ).
cnf(c_0_3600,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,X1,e_5)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2546]),
[final] ).
cnf(c_0_3601,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,X1,e_1)
| ~ product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_2547]),
[final] ).
cnf(c_0_3602,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_4)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2548]),
[final] ).
cnf(c_0_3603,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_627]),
[final] ).
cnf(c_0_3604,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,X1,e_1)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_2223]),
[final] ).
cnf(c_0_3605,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_5)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_987]),
[final] ).
cnf(c_0_3606,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,X1,e_3)
| ~ product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2549]),
[final] ).
cnf(c_0_3607,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_3)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2550]),
[final] ).
cnf(c_0_3608,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,X1,e_5)
| ~ product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2551]),
[final] ).
cnf(c_0_3609,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,X1,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1564]),
[final] ).
cnf(c_0_3610,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_1,X1,e_2)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2552]),
[final] ).
cnf(c_0_3611,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_4,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1705]),
[final] ).
cnf(c_0_3612,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2553]),
[final] ).
cnf(c_0_3613,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_1595]),
[final] ).
cnf(c_0_3614,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_2224,c_0_2232]),
[final] ).
cnf(c_0_3615,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_352,c_0_1043]),
[final] ).
cnf(c_0_3616,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_2542]),
[final] ).
cnf(c_0_3617,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_2226]),
[final] ).
cnf(c_0_3618,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_2226]),
[final] ).
cnf(c_0_3619,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_223,c_0_2544]),
[final] ).
cnf(c_0_3620,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_1140]),
[final] ).
cnf(c_0_3621,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1140]),
[final] ).
cnf(c_0_3622,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_1140]),
[final] ).
cnf(c_0_3623,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_1140]),
[final] ).
cnf(c_0_3624,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_2545]),
[final] ).
cnf(c_0_3625,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_2546]),
[final] ).
cnf(c_0_3626,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_223,c_0_2546]),
[final] ).
cnf(c_0_3627,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2546]),
[final] ).
cnf(c_0_3628,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_2546]),
[final] ).
cnf(c_0_3629,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_354,c_0_2547]),
[final] ).
cnf(c_0_3630,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2547]),
[final] ).
cnf(c_0_3631,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1160,c_0_2547]),
[final] ).
cnf(c_0_3632,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_353,c_0_2548]),
[final] ).
cnf(c_0_3633,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_1450,c_0_627]),
[final] ).
cnf(c_0_3634,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_2474,c_0_627]),
[final] ).
cnf(c_0_3635,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_353,c_0_627]),
[final] ).
cnf(c_0_3636,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_345,c_0_627]),
[final] ).
cnf(c_0_3637,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_341,c_0_627]),
[final] ).
cnf(c_0_3638,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_2223]),
[final] ).
cnf(c_0_3639,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_2223]),
[final] ).
cnf(c_0_3640,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_2223]),
[final] ).
cnf(c_0_3641,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_2223]),
[final] ).
cnf(c_0_3642,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_2223]),
[final] ).
cnf(c_0_3643,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_2223]),
[final] ).
cnf(c_0_3644,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1160,c_0_2223]),
[final] ).
cnf(c_0_3645,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_987]),
[final] ).
cnf(c_0_3646,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_115,c_0_2549]),
[final] ).
cnf(c_0_3647,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2549]),
[final] ).
cnf(c_0_3648,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_117,c_0_2550]),
[final] ).
cnf(c_0_3649,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_2550]),
[final] ).
cnf(c_0_3650,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_345,c_0_2550]),
[final] ).
cnf(c_0_3651,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_2550]),
[final] ).
cnf(c_0_3652,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_2550]),
[final] ).
cnf(c_0_3653,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_2551]),
[final] ).
cnf(c_0_3654,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_2551]),
[final] ).
cnf(c_0_3655,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_404,c_0_2551]),
[final] ).
cnf(c_0_3656,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_2551]),
[final] ).
cnf(c_0_3657,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_2554,c_0_2552]),
[final] ).
cnf(c_0_3658,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_135,c_0_2552]),
[final] ).
cnf(c_0_3659,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_2552]),
[final] ).
cnf(c_0_3660,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_2552]),
[final] ).
cnf(c_0_3661,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_2552]),
[final] ).
cnf(c_0_3662,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_2552]),
[final] ).
cnf(c_0_3663,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_607]),
[final] ).
cnf(c_0_3664,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_607]),
[final] ).
cnf(c_0_3665,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_607]),
[final] ).
cnf(c_0_3666,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_607]),
[final] ).
cnf(c_0_3667,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_352,c_0_593]),
[final] ).
cnf(c_0_3668,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_593]),
[final] ).
cnf(c_0_3669,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_581]),
[final] ).
cnf(c_0_3670,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_353,c_0_581]),
[final] ).
cnf(c_0_3671,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,X1,e_5)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_572]),
[final] ).
cnf(c_0_3672,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_572]),
[final] ).
cnf(c_0_3673,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_86,c_0_572]),
[final] ).
cnf(c_0_3674,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_572]),
[final] ).
cnf(c_0_3675,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_565]),
[final] ).
cnf(c_0_3676,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_565]),
[final] ).
cnf(c_0_3677,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_283,c_0_565]),
[final] ).
cnf(c_0_3678,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,X1,e_2)
| ~ product(X1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_602]),
[final] ).
cnf(c_0_3679,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_223,c_0_602]),
[final] ).
cnf(c_0_3680,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| ~ product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_566]),c_0_353]),
[final] ).
cnf(c_0_3681,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_566]),c_0_242]),c_0_227]),
[final] ).
cnf(c_0_3682,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,X1,e_3)
| ~ product(X1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_551]),c_0_546]),
[final] ).
cnf(c_0_3683,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,X1,e_4)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_560]),
[final] ).
cnf(c_0_3684,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_1)
| ~ product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_556]),
[final] ).
cnf(c_0_3685,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_223,c_0_560]),
[final] ).
cnf(c_0_3686,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_560]),
[final] ).
cnf(c_0_3687,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_556]),
[final] ).
cnf(c_0_3688,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_353,c_0_556]),
[final] ).
cnf(c_0_3689,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_556]),
[final] ).
cnf(c_0_3690,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_556]),
[final] ).
cnf(c_0_3691,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1160,c_0_556]),
[final] ).
cnf(c_0_3692,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_5,X1,e_2)
| ~ product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2555]),
[final] ).
cnf(c_0_3693,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,X1,e_3)
| ~ product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_553]),
[final] ).
cnf(c_0_3694,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,X1,e_4)
| ~ product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_528]),
[final] ).
cnf(c_0_3695,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_549]),
[final] ).
cnf(c_0_3696,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_549]),
[final] ).
cnf(c_0_3697,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_195,c_0_549]),
[final] ).
cnf(c_0_3698,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_227,c_0_553]),
[final] ).
cnf(c_0_3699,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_538]),
[final] ).
cnf(c_0_3700,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_352,c_0_538]),
[final] ).
cnf(c_0_3701,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_534]),
[final] ).
cnf(c_0_3702,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_534]),
[final] ).
cnf(c_0_3703,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_534]),
[final] ).
cnf(c_0_3704,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_402,c_0_534]),
[final] ).
cnf(c_0_3705,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1160,c_0_534]),
[final] ).
cnf(c_0_3706,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_527]),
[final] ).
cnf(c_0_3707,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_527]),
[final] ).
cnf(c_0_3708,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2554,c_0_515]),c_0_404]),
[final] ).
cnf(c_0_3709,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_510]),c_0_89]),c_0_182]),
[final] ).
cnf(c_0_3710,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_5)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_2556]),c_0_64]),c_0_64]),c_0_64]),
[final] ).
cnf(c_0_3711,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_2557]),c_0_115]),
[final] ).
cnf(c_0_3712,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| 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)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_341,c_0_2556]),
[final] ).
cnf(c_0_3713,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_3,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_2558]),c_0_242]),c_0_84]),
[final] ).
cnf(c_0_3714,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2559,c_0_2232]),c_0_2560]),c_0_354]),
[final] ).
cnf(c_0_3715,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2561,c_0_167]),c_0_112]),c_0_461]),
[final] ).
cnf(c_0_3716,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2561,c_0_130]),c_0_112]),c_0_144]),
[final] ).
cnf(c_0_3717,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1886]),c_0_134]),
[final] ).
cnf(c_0_3718,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_2562]),c_0_84]),c_0_117]),
[final] ).
cnf(c_0_3719,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_2563]),c_0_223]),
[final] ).
cnf(c_0_3720,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2564,c_0_982]),c_0_92]),
[final] ).
cnf(c_0_3721,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_2237]),c_0_115]),
[final] ).
cnf(c_0_3722,negated_conjecture,
( product(e_2,e_5,e_5)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1131]),c_0_132]),
[final] ).
cnf(c_0_3723,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| 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_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_2565]),c_0_223]),
[final] ).
cnf(c_0_3724,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_179,c_0_2232]),
[final] ).
cnf(c_0_3725,negated_conjecture,
( ~ product(e_4,e_5,e_2)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_2232]),
[final] ).
cnf(c_0_3726,negated_conjecture,
( ~ product(e_3,e_5,e_2)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_115,c_0_2232]),
[final] ).
cnf(c_0_3727,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_2232]),
[final] ).
cnf(c_0_3728,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_5,e_4,e_5)
| ~ product(X1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2232]),
[final] ).
cnf(c_0_3729,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_2566]),
[final] ).
cnf(c_0_3730,negated_conjecture,
( product(e_3,e_5,e_5)
| 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_5,e_4) ),
inference(spm,[status(thm)],[c_0_209,c_0_2237]),
[final] ).
cnf(c_0_3731,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2564,c_0_635]),
[final] ).
cnf(c_0_3732,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2564,c_0_474]),
[final] ).
cnf(c_0_3733,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_2237]),
[final] ).
cnf(c_0_3734,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_115,c_0_2237]),
[final] ).
cnf(c_0_3735,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_2564,c_0_218]),
[final] ).
cnf(c_0_3736,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_5,e_5,e_4)
| ~ product(X1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2237]),
[final] ).
cnf(c_0_3737,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_2237]),
[final] ).
cnf(c_0_3738,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_2237]),
[final] ).
cnf(c_0_3739,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_2237]),
[final] ).
cnf(c_0_3740,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_2022]),c_0_227]),
[final] ).
cnf(c_0_3741,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1901,c_0_1629]),c_0_132]),
[final] ).
cnf(c_0_3742,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_1086]),c_0_92]),
[final] ).
cnf(c_0_3743,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_2,e_5,e_5)
| ~ product(e_5,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_2567]),c_0_64]),c_0_64]),
[final] ).
cnf(c_0_3744,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_1021]),
[final] ).
cnf(c_0_3745,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_697]),
[final] ).
cnf(c_0_3746,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,e_3,e_4)
| ~ product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_490]),
[final] ).
cnf(c_0_3747,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_490]),
[final] ).
cnf(c_0_3748,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_74,c_0_490]),
[final] ).
cnf(c_0_3749,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_490]),
[final] ).
cnf(c_0_3750,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_3,e_4)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_517]),
[final] ).
cnf(c_0_3751,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_2568]),c_0_134]),
[final] ).
cnf(c_0_3752,negated_conjecture,
( product(e_2,e_4,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2487,c_0_498]),c_0_192]),
[final] ).
cnf(c_0_3753,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_3,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1251]),
[final] ).
cnf(c_0_3754,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,e_2,e_1)
| ~ product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_1629]),
[final] ).
cnf(c_0_3755,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_412]),
[final] ).
cnf(c_0_3756,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_3,e_5)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_412]),
[final] ).
cnf(c_0_3757,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_377]),c_0_341]),
[final] ).
cnf(c_0_3758,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,e_2,e_5)
| ~ product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2250]),
[final] ).
cnf(c_0_3759,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_223,c_0_376]),
[final] ).
cnf(c_0_3760,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_365]),c_0_135]),
[final] ).
cnf(c_0_3761,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_177,c_0_2028]),
[final] ).
cnf(c_0_3762,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_74,c_0_2028]),
[final] ).
cnf(c_0_3763,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_475,c_0_2028]),
[final] ).
cnf(c_0_3764,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_2,e_5)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_2028]),
[final] ).
cnf(c_0_3765,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_315]),c_0_354]),
[final] ).
cnf(c_0_3766,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_315]),c_0_341]),
[final] ).
cnf(c_0_3767,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_315]),c_0_223]),
[final] ).
cnf(c_0_3768,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_5,e_5)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_110,c_0_2569]),
[final] ).
cnf(c_0_3769,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_1,e_4,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2570]),c_0_84]),c_0_227]),
[final] ).
cnf(c_0_3770,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_4,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_110,c_0_2570]),
[final] ).
cnf(c_0_3771,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_877]),
[final] ).
cnf(c_0_3772,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_2571]),
[final] ).
cnf(c_0_3773,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2572]),c_0_353]),
[final] ).
cnf(c_0_3774,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| 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_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2573]),c_0_354]),
[final] ).
cnf(c_0_3775,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2574]),c_0_341]),
[final] ).
cnf(c_0_3776,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_1764]),c_0_984]),c_0_84]),
[final] ).
cnf(c_0_3777,negated_conjecture,
( product(e_2,e_1,e_2)
| 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)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_1764]),c_0_984]),
[final] ).
cnf(c_0_3778,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| ~ product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_734]),
[final] ).
cnf(c_0_3779,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_297]),
[final] ).
cnf(c_0_3780,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2575]),c_0_92]),
[final] ).
cnf(c_0_3781,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2575]),c_0_132]),
[final] ).
cnf(c_0_3782,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| 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)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_2576]),
[final] ).
cnf(c_0_3783,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_2576]),c_0_345]),
[final] ).
cnf(c_0_3784,negated_conjecture,
( product(e_5,e_1,e_2)
| 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)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_2576]),c_0_64]),
[final] ).
cnf(c_0_3785,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_977]),c_0_74]),
[final] ).
cnf(c_0_3786,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_977]),c_0_92]),
[final] ).
cnf(c_0_3787,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_975]),
[final] ).
cnf(c_0_3788,negated_conjecture,
( product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_354,c_0_975]),
[final] ).
cnf(c_0_3789,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2577]),c_0_354]),c_0_84]),
[final] ).
cnf(c_0_3790,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_5)
| product(e_1,e_5,e_2)
| product(e_5,e_4,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_110,c_0_727]),
[final] ).
cnf(c_0_3791,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_110,c_0_969]),
[final] ).
cnf(c_0_3792,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_969]),
[final] ).
cnf(c_0_3793,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_5,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_354,c_0_969]),
[final] ).
cnf(c_0_3794,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_261]),c_0_135]),
[final] ).
cnf(c_0_3795,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_110,c_0_1587]),
[final] ).
cnf(c_0_3796,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1587]),
[final] ).
cnf(c_0_3797,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_257]),c_0_227]),
[final] ).
cnf(c_0_3798,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_336]),c_0_134]),
[final] ).
cnf(c_0_3799,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_271]),
[final] ).
cnf(c_0_3800,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_89,c_0_271]),
[final] ).
cnf(c_0_3801,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_184]),
[final] ).
cnf(c_0_3802,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_171]),c_0_459]),
[final] ).
cnf(c_0_3803,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2474,c_0_171]),c_0_2578]),
[final] ).
cnf(c_0_3804,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_2579]),c_0_92]),c_0_132]),
[final] ).
cnf(c_0_3805,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_2580]),c_0_92]),c_0_134]),
[final] ).
cnf(c_0_3806,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2581,c_0_1058]),c_0_170]),c_0_2582]),
[final] ).
cnf(c_0_3807,negated_conjecture,
( product(e_3,e_2,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2583,c_0_226]),c_0_1893]),c_0_170]),c_0_2584]),
[final] ).
cnf(c_0_3808,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2585,c_0_2247]),c_0_168]),
[final] ).
cnf(c_0_3809,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_3,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1459,c_0_2247]),c_0_410]),
[final] ).
cnf(c_0_3810,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_5,e_1,e_1)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_2247]),
[final] ).
cnf(c_0_3811,negated_conjecture,
( ~ product(e_4,e_5,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_2247]),
[final] ).
cnf(c_0_3812,negated_conjecture,
( ~ product(e_5,e_5,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_2247]),
[final] ).
cnf(c_0_3813,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_2247]),
[final] ).
cnf(c_0_3814,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_2247]),
[final] ).
cnf(c_0_3815,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2586,c_0_2025]),c_0_168]),c_0_1894]),
[final] ).
cnf(c_0_3816,negated_conjecture,
( ~ product(e_5,e_2,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_2025]),
[final] ).
cnf(c_0_3817,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_110,c_0_2025]),
[final] ).
cnf(c_0_3818,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_2025]),
[final] ).
cnf(c_0_3819,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2587,c_0_2025]),c_0_1893]),c_0_1894]),
[final] ).
cnf(c_0_3820,negated_conjecture,
( 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)
| ~ product(e_5,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2588,c_0_2025]),c_0_420]),
[final] ).
cnf(c_0_3821,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_5,e_1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_2025]),
[final] ).
cnf(c_0_3822,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1450,c_0_1891]),c_0_458]),c_0_2489]),c_0_402]),
[final] ).
cnf(c_0_3823,negated_conjecture,
( product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2474,c_0_1891]),c_0_2589]),c_0_402]),c_0_2487]),
[final] ).
cnf(c_0_3824,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_5)
| ~ product(e_5,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_264]),c_0_115]),
[final] ).
cnf(c_0_3825,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1727]),
[final] ).
cnf(c_0_3826,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_2590]),c_0_223]),
[final] ).
cnf(c_0_3827,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1894,c_0_207]),c_0_168]),
[final] ).
cnf(c_0_3828,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_110,c_0_207]),
[final] ).
cnf(c_0_3829,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_207]),c_0_84]),
[final] ).
cnf(c_0_3830,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_1533]),c_0_345]),
[final] ).
cnf(c_0_3831,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_254]),c_0_364]),
[final] ).
cnf(c_0_3832,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_245]),c_0_349]),
[final] ).
cnf(c_0_3833,negated_conjecture,
( product(e_2,X1,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_282]),
[final] ).
cnf(c_0_3834,negated_conjecture,
( ~ product(e_5,e_1,e_1)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1892,c_0_282]),
[final] ).
cnf(c_0_3835,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_67,c_0_282]),
[final] ).
cnf(c_0_3836,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_61,c_0_282]),
[final] ).
cnf(c_0_3837,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_282]),
[final] ).
cnf(c_0_3838,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_261]),c_0_357]),
[final] ).
cnf(c_0_3839,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2591,c_0_65]),c_0_113]),c_0_170]),c_0_1892]),
[final] ).
cnf(c_0_3840,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,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)
| ~ product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_67,c_0_1425]),
[final] ).
cnf(c_0_3841,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_1058]),c_0_354]),
[final] ).
cnf(c_0_3842,negated_conjecture,
( product(e_2,e_1,e_2)
| 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)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_1058]),
[final] ).
cnf(c_0_3843,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_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_67,c_0_204]),
[final] ).
cnf(c_0_3844,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_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_254]),c_0_267]),
[final] ).
cnf(c_0_3845,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_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_261]),c_0_267]),
[final] ).
cnf(c_0_3846,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_71]),c_0_112]),c_0_2592]),
[final] ).
cnf(c_0_3847,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_120]),c_0_112]),c_0_2593]),
[final] ).
cnf(c_0_3848,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_96]),c_0_112]),c_0_2594]),
[final] ).
cnf(c_0_3849,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_254]),c_0_110]),
[final] ).
cnf(c_0_3850,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_245]),c_0_110]),
[final] ).
cnf(c_0_3851,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2595,c_0_70]),c_0_92]),
[final] ).
cnf(c_0_3852,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_254]),
[final] ).
cnf(c_0_3853,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_245]),
[final] ).
cnf(c_0_3854,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_230]),
[final] ).
cnf(c_0_3855,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_177,c_0_261]),
[final] ).
cnf(c_0_3856,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_70]),c_0_414]),
[final] ).
cnf(c_0_3857,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_70]),c_0_400]),
[final] ).
cnf(c_0_3858,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_70]),c_0_1848]),
[final] ).
cnf(c_0_3859,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_67,c_0_259]),
[final] ).
cnf(c_0_3860,plain,
( 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_2,e_5) ),
inference(spm,[status(thm)],[c_0_61,c_0_259]),
[final] ).
cnf(c_0_3861,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_1051]),
[final] ).
cnf(c_0_3862,plain,
( product(e_5,e_2,e_5)
| 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_2,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_999]),
[final] ).
cnf(c_0_3863,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_109]),c_0_117]),
[final] ).
cnf(c_0_3864,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_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_172]),c_0_354]),
[final] ).
cnf(c_0_3865,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_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2489,c_0_172]),c_0_352]),
[final] ).
cnf(c_0_3866,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_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1313,c_0_139]),c_0_341]),
[final] ).
cnf(c_0_3867,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_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2596,c_0_139]),c_0_345]),
[final] ).
cnf(c_0_3868,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| ~ product(e_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_115,c_0_577]),
[final] ).
cnf(c_0_3869,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_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_139]),c_0_2474]),
[final] ).
cnf(c_0_3870,plain,
( product(e_3,e_5,e_5)
| 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_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_1077]),
[final] ).
cnf(c_0_3871,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_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_172]),c_0_2487]),
[final] ).
cnf(c_0_3872,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_475,c_0_254]),
[final] ).
cnf(c_0_3873,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_475,c_0_245]),
[final] ).
cnf(c_0_3874,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_475,c_0_230]),
[final] ).
cnf(c_0_3875,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_475,c_0_261]),
[final] ).
cnf(c_0_3876,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_98]),c_0_1850]),
[final] ).
cnf(c_0_3877,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_4,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_254]),
[final] ).
cnf(c_0_3878,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_5,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_245]),
[final] ).
cnf(c_0_3879,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_2,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_230]),
[final] ).
cnf(c_0_3880,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,e_3,e_3)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_261]),
[final] ).
cnf(c_0_3881,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_254]),
[final] ).
cnf(c_0_3882,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_254]),
[final] ).
cnf(c_0_3883,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_245]),
[final] ).
cnf(c_0_3884,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_245]),
[final] ).
cnf(c_0_3885,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_230]),
[final] ).
cnf(c_0_3886,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_230]),
[final] ).
cnf(c_0_3887,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_230]),
[final] ).
cnf(c_0_3888,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_261]),
[final] ).
cnf(c_0_3889,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_261]),
[final] ).
cnf(c_0_3890,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_71]),
[final] ).
cnf(c_0_3891,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_71]),
[final] ).
cnf(c_0_3892,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_120]),
[final] ).
cnf(c_0_3893,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_120]),
[final] ).
cnf(c_0_3894,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_120]),
[final] ).
cnf(c_0_3895,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_96]),
[final] ).
cnf(c_0_3896,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_96]),
[final] ).
cnf(c_0_3897,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_96]),
[final] ).
cnf(c_0_3898,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,e_5,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_130]),
[final] ).
cnf(c_0_3899,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,e_2,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_122]),
[final] ).
cnf(c_0_3900,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_1,e_3,e_1)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_99]),
[final] ).
cnf(c_0_3901,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_122]),
[final] ).
cnf(c_0_3902,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_61,c_0_122]),
[final] ).
cnf(c_0_3903,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_122]),
[final] ).
cnf(c_0_3904,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_122]),
[final] ).
cnf(c_0_3905,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_74,c_0_122]),
[final] ).
cnf(c_0_3906,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_122]),
[final] ).
cnf(c_0_3907,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_67,c_0_99]),
[final] ).
cnf(c_0_3908,plain,
( product(e_3,e_5,e_5)
| 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_2,e_1) ),
inference(spm,[status(thm)],[c_0_341,c_0_1077]),
[final] ).
cnf(c_0_3909,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2597]),
[final] ).
cnf(c_0_3910,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2598]),
[final] ).
cnf(c_0_3911,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2599]),
[final] ).
cnf(c_0_3912,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_2600]),
[final] ).
cnf(c_0_3913,negated_conjecture,
~ product(e_1,e_4,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2601,c_0_167]),c_0_113]),c_0_173]),
[final] ).
cnf(c_0_3914,negated_conjecture,
~ product(e_1,e_5,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2601,c_0_130]),c_0_113]),c_0_143]),
[final] ).
cnf(c_0_3915,negated_conjecture,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2601,c_0_99]),c_0_113]),c_0_2509]),
[final] ).
cnf(c_0_3916,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_2602]),c_0_1669]),
[final] ).
cnf(c_0_3917,plain,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_2504]),c_0_2603]),
[final] ).
cnf(c_0_3918,plain,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_2604]),c_0_2605]),
[final] ).
cnf(c_0_3919,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2606,c_0_2507]),c_0_904]),c_0_223]),
[final] ).
cnf(c_0_3920,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_2521]),c_0_2607]),
[final] ).
cnf(c_0_3921,plain,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_407]),c_0_223]),c_0_354]),
[final] ).
cnf(c_0_3922,plain,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_397]),c_0_2608]),c_0_2609]),c_0_223]),
[final] ).
cnf(c_0_3923,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_122]),c_0_112]),c_0_435]),c_0_1160]),c_0_402]),
[final] ).
cnf(c_0_3924,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_3925,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_3926,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_3927,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_3928,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_3929,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_3930,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_3931,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_3932,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_3933,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_3934,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GRP129-2.005 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 13:24:11 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 13.08/7.79 % Version : CSE_E---1.7
% 13.08/7.79 % Problem : theBenchmark.p
% 13.08/7.79 % SZS status Satisfiable for theBenchmark.p
% 13.08/7.79 % SZS output start Saturation
% See solution above
% 13.18/7.84 % Total time : 6.367s
%------------------------------------------------------------------------------