%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP135-2.005 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 04:24:32 PM UTC 2026
% Result : Satisfiable 19.31s 11.70s
% Output : Saturation 19.31s
% 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/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_2) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(qg3,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(product_total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_greater_e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_1) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_1) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_1) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/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_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_47,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_48,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_49,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_50,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_51,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_52,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_53,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_54,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_55,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]),
[final] ).
cnf(c_0_56,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]),
[final] ).
cnf(c_0_57,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_58,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_49]),
[final] ).
cnf(c_0_59,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_50]),
[final] ).
cnf(c_0_60,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_51,c_0_52]),
[final] ).
cnf(c_0_61,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_62,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[final] ).
cnf(c_0_63,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_55,c_0_54]),
[final] ).
cnf(c_0_64,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_65,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_66,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_67,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_58,c_0_57]),
[final] ).
cnf(c_0_68,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_59,c_0_57]),
[final] ).
cnf(c_0_69,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
qg3,
[final] ).
cnf(c_0_70,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_60,c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_71,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]),
[final] ).
cnf(c_0_72,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_60,c_0_52]),c_0_66]),c_0_67]),c_0_68]),
[final] ).
cnf(c_0_73,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_74,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_76,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_73]),
[final] ).
cnf(c_0_77,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_70]) ).
cnf(c_0_78,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_79,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_71]) ).
cnf(c_0_80,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_73]),
[final] ).
cnf(c_0_81,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_82,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_75]),c_0_80]),
[final] ).
cnf(c_0_83,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_65]),
[final] ).
cnf(c_0_84,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_81]),
[final] ).
cnf(c_0_85,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_86,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_51,c_0_61]),
[final] ).
cnf(c_0_87,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_88,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_70,c_0_82]) ).
cnf(c_0_89,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_72]),
[final] ).
cnf(c_0_90,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_72]),
[final] ).
cnf(c_0_91,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_92,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_81]),
[final] ).
cnf(c_0_93,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_94,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_86,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_3,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_89]),
[final] ).
cnf(c_0_97,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_90]),
[final] ).
cnf(c_0_98,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_99,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_51,c_0_91]),
[final] ).
cnf(c_0_100,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_86,c_0_61]) ).
cnf(c_0_101,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_88]),
[final] ).
cnf(c_0_102,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_81]),
[final] ).
cnf(c_0_103,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_104,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_81]),
[final] ).
cnf(c_0_105,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_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_94]) ).
cnf(c_0_106,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_90]),c_0_96]),c_0_97]),
[final] ).
cnf(c_0_107,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_81]),
[final] ).
cnf(c_0_108,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_99,c_0_61]) ).
cnf(c_0_109,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_100]) ).
cnf(c_0_110,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_101]) ).
cnf(c_0_111,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_112,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_51,c_0_87]),
[final] ).
cnf(c_0_113,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_88]),
[final] ).
cnf(c_0_114,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_115,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_51,c_0_103]),
[final] ).
cnf(c_0_116,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_88]),
[final] ).
cnf(c_0_117,negated_conjecture,
( product(e_2,e_1,e_2)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_88]),c_0_106]) ).
cnf(c_0_118,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_119,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_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_120,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_101]),c_0_106]),c_0_110]),c_0_107]) ).
cnf(c_0_121,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_81]),
[final] ).
cnf(c_0_122,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_112,c_0_61]) ).
cnf(c_0_123,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_113]) ).
cnf(c_0_124,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_81]),
[final] ).
cnf(c_0_125,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_115,c_0_61]) ).
cnf(c_0_126,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_116]) ).
cnf(c_0_127,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_128,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_117]) ).
cnf(c_0_129,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_81]),
[final] ).
cnf(c_0_130,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| 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_119,c_0_100]),c_0_120]) ).
cnf(c_0_131,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_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_132,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_113]),c_0_106]),c_0_123]),c_0_121]),
[final] ).
cnf(c_0_133,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_134,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_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_116]),c_0_106]),c_0_126]),c_0_124]) ).
cnf(c_0_136,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_81]),
[final] ).
cnf(c_0_137,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_65]),
[final] ).
cnf(c_0_138,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_128,c_0_88]) ).
cnf(c_0_139,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_65]),
[final] ).
cnf(c_0_140,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| 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_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_121]) ).
cnf(c_0_141,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_100]),c_0_132]) ).
cnf(c_0_142,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_81]),
[final] ).
cnf(c_0_143,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_100]),c_0_135]) ).
cnf(c_0_144,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| 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_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_130]),c_0_124]) ).
cnf(c_0_145,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_146,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_139,c_0_117]) ).
cnf(c_0_147,plain,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_88]),
[final] ).
cnf(c_0_148,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_149,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| 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_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_121]) ).
cnf(c_0_150,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_143]) ).
cnf(c_0_151,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_100]),c_0_146]),c_0_147]) ).
cnf(c_0_152,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_148]),c_0_124]),c_0_142]) ).
cnf(c_0_153,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_149,c_0_141]) ).
cnf(c_0_154,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_150]),c_0_121]),c_0_142]) ).
cnf(c_0_155,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_151]) ).
cnf(c_0_156,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_157,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_65]),
[final] ).
cnf(c_0_158,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_88]) ).
cnf(c_0_159,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_73]),
[final] ).
cnf(c_0_160,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_72]),
[final] ).
cnf(c_0_161,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_2,e_5)
| 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_109,c_0_156]) ).
cnf(c_0_162,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_76]),c_0_159]),
[final] ).
cnf(c_0_163,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_160]),
[final] ).
cnf(c_0_164,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_99,c_0_52]) ).
cnf(c_0_165,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_89]),
[final] ).
cnf(c_0_166,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_102,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_104,c_0_72]),
[final] ).
cnf(c_0_168,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_161]) ).
cnf(c_0_169,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)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_100]),c_0_147]) ).
cnf(c_0_170,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_65]),
[final] ).
cnf(c_0_171,negated_conjecture,
( product(e_3,e_1,e_1)
| ~ product(e_1,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_160]),c_0_163]),
[final] ).
cnf(c_0_172,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_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_164]),c_0_62]),c_0_165]) ).
cnf(c_0_173,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_166]),
[final] ).
cnf(c_0_174,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_167]),
[final] ).
cnf(c_0_175,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_115,c_0_52]) ).
cnf(c_0_176,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_89]) ).
cnf(c_0_177,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_4,e_2)
| 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_168,c_0_100]) ).
cnf(c_0_178,negated_conjecture,
( product(e_3,e_2,e_2)
| 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_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_169]) ).
cnf(c_0_179,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_138]),c_0_159]),c_0_80]),c_0_76]),
[final] ).
cnf(c_0_180,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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_164]),c_0_172]) ).
cnf(c_0_181,negated_conjecture,
( product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_166]),c_0_173]),
[final] ).
cnf(c_0_182,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_112,c_0_52]) ).
cnf(c_0_183,negated_conjecture,
( product(e_3,e_1,e_1)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_167]),c_0_174]),
[final] ).
cnf(c_0_184,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_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_175]),c_0_63]),c_0_176]),
[final] ).
cnf(c_0_185,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_177]),c_0_69]),c_0_139]) ).
cnf(c_0_186,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)
| product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_88]),c_0_179]) ).
cnf(c_0_187,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(spm,[status(thm)],[c_0_107,c_0_180]) ).
cnf(c_0_188,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_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_52]),c_0_106]) ).
cnf(c_0_189,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(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_190,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_3,e_5) ),
inference(spm,[status(thm)],[c_0_129,c_0_180]) ).
cnf(c_0_191,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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_175]),c_0_184]) ).
cnf(c_0_192,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_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_180]) ).
cnf(c_0_193,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_194,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_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_187,c_0_188]) ).
cnf(c_0_195,negated_conjecture,
( product(e_3,e_1,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_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_189]) ).
cnf(c_0_196,negated_conjecture,
( product(e_3,e_1,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_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_190,c_0_189]) ).
cnf(c_0_197,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(spm,[status(thm)],[c_0_124,c_0_191]) ).
cnf(c_0_198,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_3,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_191]) ).
cnf(c_0_199,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_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_192,c_0_191]) ).
cnf(c_0_200,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_193]),c_0_106]) ).
cnf(c_0_201,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_65]),
[final] ).
cnf(c_0_202,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_194]),c_0_121]) ).
cnf(c_0_203,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_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_195,c_0_188]) ).
cnf(c_0_204,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_196]),c_0_121]) ).
cnf(c_0_205,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_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_197,c_0_188]) ).
cnf(c_0_206,negated_conjecture,
( product(e_3,e_1,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_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_189]) ).
cnf(c_0_207,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_194]),c_0_124]) ).
cnf(c_0_208,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_199]),c_0_124]) ).
cnf(c_0_209,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_2,e_4)
| 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_109,c_0_200]) ).
cnf(c_0_210,plain,
( product(e_1,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_72]),
[final] ).
cnf(c_0_211,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).
cnf(c_0_212,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_205]),c_0_121]) ).
cnf(c_0_213,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_206]),c_0_121]) ).
cnf(c_0_214,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_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_205]),c_0_208]) ).
cnf(c_0_215,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_216,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_209]) ).
cnf(c_0_217,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_65]),
[final] ).
cnf(c_0_218,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_65]),
[final] ).
cnf(c_0_219,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_210]),
[final] ).
cnf(c_0_220,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_211]),c_0_124]),c_0_142]),
[final] ).
cnf(c_0_221,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_203]),c_0_213]) ).
cnf(c_0_222,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| 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_129,c_0_214]),c_0_121]),c_0_142]) ).
cnf(c_0_223,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_215]),
[final] ).
cnf(c_0_224,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_225,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_3,e_2)
| 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_216,c_0_100]) ).
cnf(c_0_226,plain,
( product(e_1,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_72]),
[final] ).
cnf(c_0_227,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_115,c_0_91]) ).
cnf(c_0_228,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_210]),c_0_218]),c_0_219]),
[final] ).
cnf(c_0_229,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]) ).
cnf(c_0_230,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_223,c_0_224]),
[final] ).
cnf(c_0_231,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_225]),c_0_69]),c_0_139]) ).
cnf(c_0_232,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_226]),
[final] ).
cnf(c_0_233,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_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_227]) ).
cnf(c_0_234,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_103]),c_0_228]) ).
cnf(c_0_235,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_196]),c_0_142]) ).
cnf(c_0_236,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_199]),c_0_142]) ).
cnf(c_0_237,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_229]),c_0_230]) ).
cnf(c_0_238,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_89]),
[final] ).
cnf(c_0_239,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_60,c_0_87]),c_0_230]) ).
cnf(c_0_240,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_231,c_0_186]) ).
cnf(c_0_241,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_226]),c_0_170]),c_0_232]),
[final] ).
cnf(c_0_242,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,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_233,c_0_234]) ).
cnf(c_0_243,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_206]),c_0_236]) ).
cnf(c_0_244,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_237]) ).
cnf(c_0_245,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_238,c_0_239]),c_0_139]) ).
cnf(c_0_246,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_86,c_0_91]) ).
cnf(c_0_247,negated_conjecture,
( product(e_2,e_3,e_2)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_240]),c_0_106]) ).
cnf(c_0_248,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_65]),
[final] ).
cnf(c_0_249,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_91]),c_0_241]) ).
cnf(c_0_250,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,e_1,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_217,c_0_242]),c_0_227]) ).
cnf(c_0_251,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| 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_107,c_0_243]),c_0_121]),c_0_124]) ).
cnf(c_0_252,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_244]),c_0_245]) ).
cnf(c_0_253,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_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_246]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product(e_1,e_2,e_3)
| 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_109,c_0_247]) ).
cnf(c_0_255,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_256,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,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,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_250]) ).
cnf(c_0_257,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_258,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| 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_253,c_0_100]) ).
cnf(c_0_259,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_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_254]),c_0_137]) ).
cnf(c_0_260,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_255,c_0_234]) ).
cnf(c_0_261,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_73]),
[final] ).
cnf(c_0_262,negated_conjecture,
( product(e_5,e_4,e_1)
| 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_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_256,c_0_234]) ).
cnf(c_0_263,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_257]),c_0_230]),c_0_95]),c_0_95]),c_0_245]) ).
cnf(c_0_264,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_2)
| 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)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_258]),c_0_259]) ).
cnf(c_0_265,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_240]),c_0_142]),c_0_69]) ).
cnf(c_0_266,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,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_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_260]) ).
cnf(c_0_267,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_250]) ).
cnf(c_0_268,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_263]) ).
cnf(c_0_269,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_263]) ).
cnf(c_0_270,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_143]),c_0_265]) ).
cnf(c_0_271,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_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_272,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_89]),c_0_83]),c_0_238]) ).
cnf(c_0_273,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_186]),c_0_245]),c_0_269]) ).
cnf(c_0_274,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_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_191]) ).
cnf(c_0_275,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_115,c_0_103]) ).
cnf(c_0_276,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_191]) ).
cnf(c_0_277,negated_conjecture,
( product(e_5,e_2,e_2)
| 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)
| product(e_2,e_4,e_4)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_270]) ).
cnf(c_0_278,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_270]),c_0_157]) ).
cnf(c_0_279,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_254]) ).
cnf(c_0_280,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_271]),c_0_157]) ).
cnf(c_0_281,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_282,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_5,e_4,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_274,c_0_275]),c_0_276]) ).
cnf(c_0_283,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_143]),c_0_265]),c_0_278]) ).
cnf(c_0_284,negated_conjecture,
( product(e_3,e_2,e_2)
| 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_279,c_0_100]) ).
cnf(c_0_285,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_89]) ).
cnf(c_0_286,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_280,c_0_88]) ).
cnf(c_0_287,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_89]) ).
cnf(c_0_288,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_281]) ).
cnf(c_0_289,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_3)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_282]),c_0_137]),c_0_69]),c_0_157]) ).
cnf(c_0_290,negated_conjecture,
( 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)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_283]),c_0_284]) ).
cnf(c_0_291,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_287]),c_0_238]) ).
cnf(c_0_292,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_286]),c_0_218]),c_0_139]) ).
cnf(c_0_293,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_288,c_0_254]) ).
cnf(c_0_294,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_240]) ).
cnf(c_0_295,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_133,c_0_73]),
[final] ).
cnf(c_0_296,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_160]),
[final] ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,e_4,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
cnf(c_0_298,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_2,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_147]),
[final] ).
cnf(c_0_299,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_239]),c_0_292]) ).
cnf(c_0_300,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_293]),c_0_88]) ).
cnf(c_0_301,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_111,c_0_73]),
[final] ).
cnf(c_0_302,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_73]),
[final] ).
cnf(c_0_303,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_89]),c_0_82]) ).
cnf(c_0_304,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_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_209]),c_0_71]) ).
cnf(c_0_305,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_296,c_0_164]),c_0_107]) ).
cnf(c_0_306,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_167]),
[final] ).
cnf(c_0_307,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_3)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_297]),c_0_254]) ).
cnf(c_0_308,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_89]),c_0_82]),
[final] ).
cnf(c_0_309,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_299]) ).
cnf(c_0_310,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_3)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_300]) ).
cnf(c_0_311,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_273]),c_0_301]),c_0_302]) ).
cnf(c_0_312,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_160]),
[final] ).
cnf(c_0_313,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_229]),c_0_62]),c_0_303]),c_0_304]) ).
cnf(c_0_314,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| 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_305,c_0_263]),c_0_172]) ).
cnf(c_0_315,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_306,c_0_175]),c_0_124]),
[final] ).
cnf(c_0_316,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_4,e_4,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_307]),c_0_308]) ).
cnf(c_0_317,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_309,c_0_234]) ).
cnf(c_0_318,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_1,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_273]) ).
cnf(c_0_319,plain,
( 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_245,c_0_147]) ).
cnf(c_0_320,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_254]),c_0_311]) ).
cnf(c_0_321,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_312,c_0_164]),c_0_129]) ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_313]),c_0_63]) ).
cnf(c_0_323,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_167]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_314]) ).
cnf(c_0_325,negated_conjecture,
( 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)
| product(e_1,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_263]),c_0_184]) ).
cnf(c_0_326,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_314]) ).
cnf(c_0_327,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_316,c_0_273]) ).
cnf(c_0_328,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_317]) ).
cnf(c_0_329,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_254]),c_0_319]) ).
cnf(c_0_330,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_320]) ).
cnf(c_0_331,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_254]) ).
cnf(c_0_332,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_305]) ).
cnf(c_0_333,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_323,c_0_175]),c_0_142]),
[final] ).
cnf(c_0_334,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_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_324,c_0_188]) ).
cnf(c_0_335,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_124,c_0_325]) ).
cnf(c_0_336,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_326,c_0_325]) ).
cnf(c_0_337,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_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_327]) ).
cnf(c_0_338,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_328,c_0_234]) ).
cnf(c_0_339,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_201,c_0_329]) ).
cnf(c_0_340,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_273]) ).
cnf(c_0_341,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_230]) ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_332]),c_0_71]) ).
cnf(c_0_343,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,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_333,c_0_322]),c_0_315]) ).
cnf(c_0_344,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_334]),c_0_124]) ).
cnf(c_0_345,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_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_335,c_0_188]) ).
cnf(c_0_346,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_336]),c_0_124]) ).
cnf(c_0_347,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_5,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_188]) ).
cnf(c_0_348,plain,
( 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_2,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_188]) ).
cnf(c_0_349,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_188]) ).
cnf(c_0_350,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_338]),c_0_339]),c_0_340]) ).
cnf(c_0_351,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_330,c_0_341]) ).
cnf(c_0_352,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_160]) ).
cnf(c_0_353,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_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_342,c_0_188]) ).
cnf(c_0_354,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_343]),c_0_71]) ).
cnf(c_0_355,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_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]) ).
cnf(c_0_356,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_100]),c_0_348]) ).
cnf(c_0_357,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_349,c_0_117]) ).
cnf(c_0_358,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_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_350]),c_0_327]) ).
cnf(c_0_359,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_351]),c_0_247]) ).
cnf(c_0_360,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_352,c_0_164]),c_0_136]) ).
cnf(c_0_361,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_173,c_0_182]) ).
cnf(c_0_362,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_353]),c_0_124]) ).
cnf(c_0_363,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_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_354,c_0_188]) ).
cnf(c_0_364,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_355]),c_0_66]) ).
cnf(c_0_365,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_356]),c_0_139]) ).
cnf(c_0_366,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_357]),c_0_139]) ).
cnf(c_0_367,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_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_246]) ).
cnf(c_0_368,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_138]),c_0_170]) ).
cnf(c_0_369,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_358]) ).
cnf(c_0_370,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_359]),c_0_295]) ).
cnf(c_0_371,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_2,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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_341]),c_0_172]),c_0_321]) ).
cnf(c_0_372,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,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_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_361,c_0_240]) ).
cnf(c_0_373,negated_conjecture,
( 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_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_374,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_364]),c_0_67]) ).
cnf(c_0_375,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_151]),c_0_366]),c_0_147]) ).
cnf(c_0_376,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_158]),c_0_368]) ).
cnf(c_0_377,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_4,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_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_254]),c_0_370]) ).
cnf(c_0_378,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_371]),c_0_107]) ).
cnf(c_0_379,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_193]),c_0_136]),c_0_129]),c_0_69]) ).
cnf(c_0_380,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_372]),c_0_71]) ).
cnf(c_0_381,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_373]),c_0_121]),c_0_142]) ).
cnf(c_0_382,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_374]) ).
cnf(c_0_383,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_375]),c_0_301]),c_0_170]) ).
cnf(c_0_384,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_376]),c_0_186]) ).
cnf(c_0_385,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_377]) ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_130]),c_0_379]) ).
cnf(c_0_387,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_353]),c_0_121]) ).
cnf(c_0_388,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_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_188]),c_0_381]) ).
cnf(c_0_389,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_100]),c_0_319]) ).
cnf(c_0_390,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_391,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_5,e_4)
| 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)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_62]) ).
cnf(c_0_392,negated_conjecture,
( 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_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_393,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_389]),c_0_69]),c_0_170]),c_0_137]) ).
cnf(c_0_394,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_390]) ).
cnf(c_0_395,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_391]),c_0_254]) ).
cnf(c_0_396,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_363]),c_0_121]) ).
cnf(c_0_397,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| 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(spm,[status(thm)],[c_0_136,c_0_392]),c_0_124]) ).
cnf(c_0_398,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,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_393,c_0_394]),c_0_245]) ).
cnf(c_0_399,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)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_395]),c_0_290]) ).
cnf(c_0_400,negated_conjecture,
( 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_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_388]),c_0_397]) ).
cnf(c_0_401,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_147]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_398]),c_0_139]),c_0_302]),c_0_295]) ).
cnf(c_0_403,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_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_399]),c_0_290]) ).
cnf(c_0_404,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_400]),c_0_301]),c_0_401]),c_0_295]),c_0_71]),c_0_84]) ).
cnf(c_0_405,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_402,c_0_151]) ).
cnf(c_0_406,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_403]),c_0_404]) ).
cnf(c_0_407,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_405]),c_0_88]) ).
cnf(c_0_408,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_406]),c_0_139]) ).
cnf(c_0_409,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_407]) ).
cnf(c_0_410,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_151]),c_0_366]) ).
cnf(c_0_411,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_384]) ).
cnf(c_0_412,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_413,negated_conjecture,
( product(e_5,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_403]),c_0_147]) ).
cnf(c_0_414,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_412]),c_0_413]) ).
cnf(c_0_415,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_414]) ).
cnf(c_0_416,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_88]),c_0_179]) ).
cnf(c_0_417,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_416]) ).
cnf(c_0_418,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_403]) ).
cnf(c_0_419,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_417,c_0_88]) ).
cnf(c_0_420,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_5,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_418,c_0_419]) ).
cnf(c_0_421,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_138]) ).
cnf(c_0_422,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_86,c_0_103]) ).
cnf(c_0_423,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_420]) ).
cnf(c_0_424,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,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_425,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_423,c_0_403]) ).
cnf(c_0_426,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_158]),c_0_157]) ).
cnf(c_0_427,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| 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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_424]),c_0_117]) ).
cnf(c_0_428,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_158]),c_0_218]),c_0_69]) ).
cnf(c_0_429,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_425]),c_0_69]),c_0_157]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_428]) ).
cnf(c_0_431,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_430]),c_0_162]),c_0_147]) ).
cnf(c_0_432,negated_conjecture,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_166]),c_0_102]),c_0_173]) ).
cnf(c_0_433,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_431]),c_0_416]) ).
cnf(c_0_434,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(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_432,c_0_182]) ).
cnf(c_0_435,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_433]) ).
cnf(c_0_436,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_434]) ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_1,e_3)
| 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_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_190,c_0_434]) ).
cnf(c_0_438,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_88]),c_0_179]) ).
cnf(c_0_439,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_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_3) ),
inference(spm,[status(thm)],[c_0_436,c_0_188]) ).
cnf(c_0_440,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_437]),c_0_121]) ).
cnf(c_0_441,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_198,c_0_434]) ).
cnf(c_0_442,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_438]) ).
cnf(c_0_443,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_439]),c_0_440]) ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_441]),c_0_121]) ).
cnf(c_0_445,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_442,c_0_88]) ).
cnf(c_0_446,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_443]),c_0_124]),c_0_142]) ).
cnf(c_0_447,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_439]),c_0_444]) ).
cnf(c_0_448,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_445]) ).
cnf(c_0_449,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_446,c_0_447]),c_0_222]) ).
cnf(c_0_450,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_449]),c_0_62]),c_0_448]) ).
cnf(c_0_451,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_450]),c_0_63]) ).
cnf(c_0_452,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_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_246]) ).
cnf(c_0_453,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_71,c_0_451]),c_0_301]),c_0_80]),c_0_84]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_403]),c_0_453]) ).
cnf(c_0_455,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_2,e_2,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_454]),c_0_170]),c_0_139]) ).
cnf(c_0_456,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_420]),c_0_157]) ).
cnf(c_0_457,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_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_455,c_0_438]) ).
cnf(c_0_458,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_127,c_0_73]),
[final] ).
cnf(c_0_459,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_98,c_0_73]),
[final] ).
cnf(c_0_460,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,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_456,c_0_422]) ).
cnf(c_0_461,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_457]),c_0_458]),c_0_459]) ).
cnf(c_0_462,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_406]),c_0_157]) ).
cnf(c_0_463,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_460]),c_0_403]) ).
cnf(c_0_464,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_403]),c_0_147]) ).
cnf(c_0_465,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_453]) ).
cnf(c_0_466,negated_conjecture,
( product(e_5,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)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_464]) ).
cnf(c_0_467,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_465]),c_0_248]) ).
cnf(c_0_468,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_403]),c_0_147]) ).
cnf(c_0_469,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_438]),c_0_245]),c_0_269]) ).
cnf(c_0_470,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_437]),c_0_142]) ).
cnf(c_0_471,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_472,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_469]),c_0_301]),c_0_302]),
[final] ).
cnf(c_0_473,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_441]),c_0_236]) ).
cnf(c_0_474,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_471]),c_0_472]) ).
cnf(c_0_475,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_1,e_3)
| 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_107,c_0_473]),c_0_121]),c_0_124]) ).
cnf(c_0_476,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_474]),c_0_438]) ).
cnf(c_0_477,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_451]),c_0_448]) ).
cnf(c_0_478,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_418,c_0_476]) ).
cnf(c_0_479,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_89]),
[final] ).
cnf(c_0_480,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_477]),c_0_62]) ).
cnf(c_0_481,negated_conjecture,
~ 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_137,c_0_478]),c_0_80]),c_0_159]),c_0_76]),
[final] ).
cnf(c_0_482,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_390]),c_0_238]) ).
cnf(c_0_483,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_416]),c_0_269]),c_0_245]) ).
cnf(c_0_484,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_420]),c_0_139]) ).
cnf(c_0_485,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_480]),c_0_63]) ).
cnf(c_0_486,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_445,c_0_481]) ).
cnf(c_0_487,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_393]) ).
cnf(c_0_488,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_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_484,c_0_94]) ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_485,c_0_481]) ).
cnf(c_0_490,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_486]),c_0_121]),
[final] ).
cnf(c_0_491,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_487]),c_0_302]),c_0_139]),c_0_295]) ).
cnf(c_0_492,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_488]),c_0_403]) ).
cnf(c_0_493,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_489]) ).
cnf(c_0_494,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_122,c_0_490]) ).
cnf(c_0_495,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_496,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_497,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_495]) ).
cnf(c_0_498,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_408,c_0_492]) ).
cnf(c_0_499,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_496]),c_0_486]) ).
cnf(c_0_500,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_73]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_425,c_0_481]),c_0_453]) ).
cnf(c_0_502,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_166]),
[final] ).
cnf(c_0_503,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_472]) ).
cnf(c_0_504,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_499]),c_0_500]),c_0_459]) ).
cnf(c_0_505,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,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_305,c_0_501]) ).
cnf(c_0_506,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_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_182]),c_0_121]) ).
cnf(c_0_507,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_463]),c_0_139]),c_0_69]) ).
cnf(c_0_508,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| 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_201,c_0_503]),c_0_157]),c_0_218]) ).
cnf(c_0_509,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_463]) ).
cnf(c_0_510,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_504,c_0_403]) ).
cnf(c_0_511,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_501]),c_0_157]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_129,c_0_505]) ).
cnf(c_0_513,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| 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_506,c_0_501]) ).
cnf(c_0_514,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,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_315,c_0_501]) ).
cnf(c_0_515,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_505]) ).
cnf(c_0_516,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_3,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_113]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_492]),c_0_508]) ).
cnf(c_0_518,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]) ).
cnf(c_0_519,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_520,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_514]) ).
cnf(c_0_521,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_515,c_0_514]) ).
cnf(c_0_522,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_166]),c_0_82]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_517]) ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_3)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_518]),c_0_139]) ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_501]),c_0_139]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,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_136,c_0_519]),c_0_142]) ).
cnf(c_0_527,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_520,c_0_513]) ).
cnf(c_0_528,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,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_129,c_0_521]),c_0_142]) ).
cnf(c_0_529,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_182]),c_0_71]) ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_510]),c_0_524]),c_0_525]) ).
cnf(c_0_531,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_513]),c_0_302]),c_0_301]) ).
cnf(c_0_532,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_245,c_0_445]) ).
cnf(c_0_533,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_527]),c_0_528]) ).
cnf(c_0_534,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_531]) ).
cnf(c_0_535,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_532,c_0_481]) ).
cnf(c_0_536,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_533]) ).
cnf(c_0_537,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_534]),c_0_295]) ).
cnf(c_0_538,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_5,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_347,c_0_125]) ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_535]) ).
cnf(c_0_540,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_478]),c_0_537]) ).
cnf(c_0_541,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_5,e_2,e_4)
| 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_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_538]) ).
cnf(c_0_542,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| 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_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_538]),c_0_248]) ).
cnf(c_0_543,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_2,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_544,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_5,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_541,c_0_125]),c_0_542]) ).
cnf(c_0_545,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_543]),c_0_535]) ).
cnf(c_0_546,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_2,e_4)
| 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_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_544]) ).
cnf(c_0_547,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| ~ product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_201,c_0_263]) ).
cnf(c_0_548,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_545]) ).
cnf(c_0_549,negated_conjecture,
( product(e_3,e_2,e_4)
| 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_5,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_546,c_0_125]) ).
cnf(c_0_550,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| 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_547,c_0_430]),c_0_268]),c_0_245]),c_0_269]) ).
cnf(c_0_551,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_548,c_0_540]) ).
cnf(c_0_552,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_263]) ).
cnf(c_0_553,plain,
( 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_245,c_0_116]) ).
cnf(c_0_554,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_549]),c_0_116]) ).
cnf(c_0_555,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,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_76,c_0_550]),c_0_301]),c_0_302]),
[final] ).
cnf(c_0_556,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_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_172,c_0_239]) ).
cnf(c_0_557,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_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_184,c_0_239]) ).
cnf(c_0_558,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_505]) ).
cnf(c_0_559,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_530]) ).
cnf(c_0_560,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_551]),c_0_545]) ).
cnf(c_0_561,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_125]),c_0_553]) ).
cnf(c_0_562,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_554]),c_0_555]) ).
cnf(c_0_563,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_89]),
[final] ).
cnf(c_0_564,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,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_239]) ).
cnf(c_0_565,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_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_556]),c_0_302]),c_0_301]) ).
cnf(c_0_566,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_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_557]),c_0_302]),c_0_301]) ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_558,c_0_478]) ).
cnf(c_0_568,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_534]) ).
cnf(c_0_569,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_559,c_0_560]) ).
cnf(c_0_570,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_512,c_0_534]) ).
cnf(c_0_571,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_561]),c_0_301]),c_0_302]) ).
cnf(c_0_572,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_562]),c_0_124]) ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_400]),c_0_479]) ).
cnf(c_0_574,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| 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(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_564,c_0_214]),c_0_66]),c_0_565]),c_0_566]) ).
cnf(c_0_575,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_129,c_0_567]) ).
cnf(c_0_576,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_568,c_0_569]) ).
cnf(c_0_577,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_570]),c_0_142]) ).
cnf(c_0_578,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_520,c_0_534]) ).
cnf(c_0_579,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_407]),c_0_572]) ).
cnf(c_0_580,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_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_573,c_0_239]) ).
cnf(c_0_581,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| 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_564,c_0_574]),c_0_67]) ).
cnf(c_0_582,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_575,c_0_576]) ).
cnf(c_0_583,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_578]),c_0_528]) ).
cnf(c_0_584,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_579]) ).
cnf(c_0_585,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_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_182]) ).
cnf(c_0_586,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_112,c_0_87]) ).
cnf(c_0_587,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_3)
| 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_302,c_0_580]),c_0_581]) ).
cnf(c_0_588,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_582]) ).
cnf(c_0_589,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_583]),c_0_230]),c_0_525]) ).
cnf(c_0_590,negated_conjecture,
( product(e_5,e_2,e_4)
| 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_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_549]),c_0_302]) ).
cnf(c_0_591,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_584,c_0_88]),c_0_179]) ).
cnf(c_0_592,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,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_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_585,c_0_586]) ).
cnf(c_0_593,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_587,c_0_472]) ).
cnf(c_0_594,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_595,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_356]),c_0_302]),c_0_137]) ).
cnf(c_0_596,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_590,c_0_591]),c_0_116]) ).
cnf(c_0_597,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_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_592]) ).
cnf(c_0_598,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_1,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_593]),c_0_84]) ).
cnf(c_0_599,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_594]),c_0_560]) ).
cnf(c_0_600,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_147]) ).
cnf(c_0_601,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,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_305,c_0_485]) ).
cnf(c_0_602,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_486]),c_0_107]),
[final] ).
cnf(c_0_603,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| 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_597,c_0_586]) ).
cnf(c_0_604,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_490]) ).
cnf(c_0_605,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_600]) ).
cnf(c_0_606,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_596]) ).
cnf(c_0_607,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_129,c_0_601]) ).
cnf(c_0_608,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3)
| 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_506,c_0_485]) ).
cnf(c_0_609,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3)
| 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_315,c_0_485]) ).
cnf(c_0_610,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_601]) ).
cnf(c_0_611,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_108,c_0_602]) ).
cnf(c_0_612,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| 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)
| product(e_5,e_3,e_3)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_603]) ).
cnf(c_0_613,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_604]) ).
cnf(c_0_614,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_569]) ).
cnf(c_0_615,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| 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_605,c_0_125]),c_0_116]),c_0_606]) ).
cnf(c_0_616,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_607,c_0_608]) ).
cnf(c_0_617,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_609]) ).
cnf(c_0_618,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_610,c_0_609]) ).
cnf(c_0_619,negated_conjecture,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_493,c_0_611]) ).
cnf(c_0_620,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_5,e_3,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_612,c_0_586]) ).
cnf(c_0_621,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_4,e_1,e_5)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_613,c_0_582]) ).
cnf(c_0_622,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_614,c_0_599]) ).
cnf(c_0_623,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_615]),c_0_591]) ).
cnf(c_0_624,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_399]),c_0_124]) ).
cnf(c_0_625,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,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_136,c_0_616]),c_0_142]) ).
cnf(c_0_626,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_617,c_0_608]) ).
cnf(c_0_627,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,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_129,c_0_618]),c_0_142]) ).
cnf(c_0_628,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_619]),c_0_486]) ).
cnf(c_0_629,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_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_620]),c_0_69]),c_0_139]),c_0_137]),c_0_157]),
[final] ).
cnf(c_0_630,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_4,e_1,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_621]),c_0_622]) ).
cnf(c_0_631,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_5,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_623]),c_0_624]) ).
cnf(c_0_632,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_3)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_625,c_0_626]),c_0_627]) ).
cnf(c_0_633,negated_conjecture,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_628]),c_0_121]) ).
cnf(c_0_634,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_530]),c_0_531]) ).
cnf(c_0_635,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_630]) ).
cnf(c_0_636,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_631]) ).
cnf(c_0_637,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_632,c_0_481]) ).
cnf(c_0_638,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_633,c_0_499]) ).
cnf(c_0_639,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_568,c_0_634]) ).
cnf(c_0_640,negated_conjecture,
( 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_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_560]) ).
cnf(c_0_641,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_635,c_0_576]) ).
cnf(c_0_642,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_636,c_0_403]) ).
cnf(c_0_643,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_637]),c_0_110]),c_0_92]) ).
cnf(c_0_644,negated_conjecture,
( product(e_2,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_638]),c_0_530]) ).
cnf(c_0_645,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_639]),c_0_121]),c_0_139]) ).
cnf(c_0_646,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_640,c_0_641]) ).
cnf(c_0_647,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_642]) ).
cnf(c_0_648,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_644]),c_0_645]) ).
cnf(c_0_649,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_646]) ).
cnf(c_0_650,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,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_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_267]) ).
cnf(c_0_651,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_125]),c_0_624]) ).
cnf(c_0_652,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_486]),c_0_124]),
[final] ).
cnf(c_0_653,negated_conjecture,
( product(e_1,e_3,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_648]),c_0_126]),c_0_124]),c_0_142]),
[final] ).
cnf(c_0_654,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_649,c_0_622]) ).
cnf(c_0_655,negated_conjecture,
( product(e_4,e_4,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_650,c_0_234]) ).
cnf(c_0_656,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_651,c_0_652]) ).
cnf(c_0_657,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_653]),c_0_126]),c_0_124]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_654]) ).
cnf(c_0_659,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_514]),c_0_302]),c_0_301]) ).
cnf(c_0_660,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_655]),c_0_104]),c_0_80]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| 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_289,c_0_656]),c_0_657]),c_0_658]),c_0_659]) ).
cnf(c_0_662,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_630]) ).
cnf(c_0_663,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_459,c_0_630]) ).
cnf(c_0_664,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_662]),c_0_663]) ).
cnf(c_0_665,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_664]),c_0_622]) ).
cnf(c_0_666,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_665]) ).
cnf(c_0_667,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_666,c_0_486]) ).
cnf(c_0_668,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_667]) ).
cnf(c_0_669,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_665]),c_0_453]) ).
cnf(c_0_670,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_669]),c_0_137]),
[final] ).
cnf(c_0_671,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_1) ),
inference(sr,[status(thm)],[c_0_246,c_0_670]) ).
cnf(c_0_672,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_671]),
[final] ).
cnf(c_0_673,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_478]),c_0_137]) ).
cnf(c_0_674,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_669]),c_0_139]),
[final] ).
cnf(c_0_675,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_667]),c_0_673]) ).
cnf(c_0_676,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_667]) ).
cnf(c_0_677,plain,
( 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_1) ),
inference(sr,[status(thm)],[c_0_94,c_0_674]) ).
cnf(c_0_678,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_604]),c_0_139]) ).
cnf(c_0_679,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_675]) ).
cnf(c_0_680,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_677]),c_0_678]) ).
cnf(c_0_681,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_675]) ).
cnf(c_0_682,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_679,c_0_680]) ).
cnf(c_0_683,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_499]),c_0_645]) ).
cnf(c_0_684,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_682]) ).
cnf(c_0_685,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_3)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_683]),c_0_139]) ).
cnf(c_0_686,negated_conjecture,
( product(e_2,e_2,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_506,c_0_669]) ).
cnf(c_0_687,negated_conjecture,
( product(e_2,e_2,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_305,c_0_669]) ).
cnf(c_0_688,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_499]),c_0_645]),c_0_685]) ).
cnf(c_0_689,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_686]),c_0_302]),c_0_301]) ).
cnf(c_0_690,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_129,c_0_687]) ).
cnf(c_0_691,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,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_529,c_0_688]),c_0_689]) ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_2,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_315,c_0_669]) ).
cnf(c_0_693,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_687]) ).
cnf(c_0_694,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_690,c_0_691]) ).
cnf(c_0_695,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_692]) ).
cnf(c_0_696,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_693,c_0_692]) ).
cnf(c_0_697,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_694]),c_0_142]) ).
cnf(c_0_698,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_695,c_0_691]) ).
cnf(c_0_699,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,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_129,c_0_696]),c_0_142]) ).
cnf(c_0_700,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_698]),c_0_699]) ).
cnf(c_0_701,negated_conjecture,
( product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_680]),c_0_500]),c_0_459]),
[final] ).
cnf(c_0_702,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_700]),c_0_110]),c_0_107]),
[final] ).
cnf(c_0_703,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_113]),c_0_123]),c_0_121]) ).
cnf(c_0_704,negated_conjecture,
( product(e_2,e_3,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_701]),c_0_458]),c_0_459]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(e_3,e_4,X1)
| ~ product(e_2,e_5,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_702]),
[final] ).
cnf(c_0_706,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_629,c_0_688]),c_0_689]) ).
cnf(c_0_707,negated_conjecture,
( product(e_5,e_2,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_704]),c_0_458]) ).
cnf(c_0_708,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_688]) ).
cnf(c_0_709,negated_conjecture,
( product(e_3,e_4,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_667]),c_0_107]),c_0_110]),
[final] ).
cnf(c_0_710,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_469]) ).
cnf(c_0_711,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_706]) ).
cnf(c_0_712,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_248,c_0_707]),
[final] ).
cnf(c_0_713,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_709]),c_0_107]),c_0_110]),
[final] ).
cnf(c_0_714,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_710]) ).
cnf(c_0_715,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_711,c_0_680]) ).
cnf(c_0_716,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_535]) ).
cnf(c_0_717,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_712,c_0_667]),c_0_500]),c_0_459]),
[final] ).
cnf(c_0_718,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_2,e_5,e_3)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_713]),
[final] ).
cnf(c_0_719,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_713]),c_0_92]),
[final] ).
cnf(c_0_720,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_702]),
[final] ).
cnf(c_0_721,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_715]) ).
cnf(c_0_722,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_716,c_0_715]) ).
cnf(c_0_723,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_687]) ).
cnf(c_0_724,negated_conjecture,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_628,c_0_717]) ).
cnf(c_0_725,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_718]),c_0_719]),c_0_720]),
[final] ).
cnf(c_0_726,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_721,c_0_722]) ).
cnf(c_0_727,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_723,c_0_724]) ).
cnf(c_0_728,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_724,c_0_725]) ).
cnf(c_0_729,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_706]) ).
cnf(c_0_730,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_726]),c_0_667]) ).
cnf(c_0_731,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_727,c_0_725]) ).
cnf(c_0_732,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_691]) ).
cnf(c_0_733,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_728]) ).
cnf(c_0_734,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_729,c_0_730]) ).
cnf(c_0_735,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| ~ product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_646]),c_0_107]) ).
cnf(c_0_736,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_129,c_0_731]) ).
cnf(c_0_737,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_732,c_0_706]) ).
cnf(c_0_738,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_1,e_4,e_3)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_700]) ).
cnf(c_0_739,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_2,e_3)
| product(e_5,e_5,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_733,c_0_734]),c_0_735]) ).
cnf(c_0_740,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_3,e_3,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_737]),c_0_735]) ).
cnf(c_0_741,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_738,c_0_739]) ).
cnf(c_0_742,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_3,e_4)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_740]),c_0_741]) ).
cnf(c_0_743,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_716,c_0_742]) ).
cnf(c_0_744,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_743]),c_0_730]) ).
cnf(c_0_745,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_453]) ).
cnf(c_0_746,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_744]) ).
cnf(c_0_747,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_667]),c_0_745]),c_0_157]),
[final] ).
cnf(c_0_748,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_671]),
[final] ).
cnf(c_0_749,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_746,c_0_486]) ).
cnf(c_0_750,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_1) ),
inference(sr,[status(thm)],[c_0_422,c_0_747]) ).
cnf(c_0_751,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_748,c_0_749]) ).
cnf(c_0_752,plain,
( 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_2,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_750]) ).
cnf(c_0_753,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_667]),c_0_157]) ).
cnf(c_0_754,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_2,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_248,c_0_751]) ).
cnf(c_0_755,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_749]),c_0_753]) ).
cnf(c_0_756,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_501]) ).
cnf(c_0_757,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_754,c_0_755]) ).
cnf(c_0_758,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| 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_756,c_0_611]),c_0_120]) ).
cnf(c_0_759,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_125,c_0_652]) ).
cnf(c_0_760,negated_conjecture,
( product(e_5,e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_757]),c_0_302]),c_0_157]),
[final] ).
cnf(c_0_761,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_758]),c_0_124]) ).
cnf(c_0_762,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_756,c_0_759]) ).
cnf(c_0_763,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_691]),c_0_295]) ).
cnf(c_0_764,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_261,c_0_749]) ).
cnf(c_0_765,negated_conjecture,
( product(e_3,e_2,X1)
| ~ product(e_2,e_2,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_760]),
[final] ).
cnf(c_0_766,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_761,c_0_762]) ).
cnf(c_0_767,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_763,c_0_653]),c_0_126]),c_0_124]),
[final] ).
cnf(c_0_768,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_765]),c_0_302]),
[final] ).
cnf(c_0_769,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_766,c_0_767]) ).
cnf(c_0_770,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_768,c_0_728]),c_0_107]),c_0_302]),
[final] ).
cnf(c_0_771,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_755]) ).
cnf(c_0_772,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_769,c_0_770]) ).
cnf(c_0_773,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_5,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_771,c_0_772]) ).
cnf(c_0_774,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_773]),c_0_755]) ).
cnf(c_0_775,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_2,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_774]) ).
cnf(c_0_776,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_690,c_0_686]) ).
cnf(c_0_777,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_775,c_0_772]) ).
cnf(c_0_778,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,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_136,c_0_776]),c_0_142]) ).
cnf(c_0_779,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_695,c_0_686]) ).
cnf(c_0_780,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_777]),c_0_774]) ).
cnf(c_0_781,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_692]),c_0_302]),c_0_301]) ).
cnf(c_0_782,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_778,c_0_779]),c_0_699]) ).
cnf(c_0_783,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_4,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_780]),c_0_781]) ).
cnf(c_0_784,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_782]) ).
cnf(c_0_785,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_783]) ).
cnf(c_0_786,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_1,e_3,e_3)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_784]) ).
cnf(c_0_787,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_785]),c_0_535]) ).
cnf(c_0_788,plain,
( 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_2,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_188]) ).
cnf(c_0_789,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_786,c_0_787]) ).
cnf(c_0_790,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_785]),c_0_218]),c_0_104]) ).
cnf(c_0_791,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_112,c_0_91]) ).
cnf(c_0_792,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_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_108]),c_0_788]) ).
cnf(c_0_793,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_789]),c_0_790]) ).
cnf(c_0_794,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_218,c_0_275]) ).
cnf(c_0_795,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_115,c_0_87]) ).
cnf(c_0_796,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_2,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_791]) ).
cnf(c_0_797,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| 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)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_792]) ).
cnf(c_0_798,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_793]) ).
cnf(c_0_799,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_794,c_0_795]) ).
cnf(c_0_800,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_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_795]) ).
cnf(c_0_801,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_282]),c_0_170]),c_0_69]),c_0_218]) ).
cnf(c_0_802,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_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_191]) ).
cnf(c_0_803,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_5,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_347,c_0_122]) ).
cnf(c_0_804,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,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) ),
inference(spm,[status(thm)],[c_0_796,c_0_138]) ).
cnf(c_0_805,negated_conjecture,
( product(e_4,e_2,e_5)
| 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_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_797,c_0_108]) ).
cnf(c_0_806,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_787]) ).
cnf(c_0_807,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_798,c_0_755]) ).
cnf(c_0_808,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_799]),c_0_800]),c_0_801]),c_0_802]) ).
cnf(c_0_809,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_5,e_2,e_3)
| 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)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_803]) ).
cnf(c_0_810,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_804]) ).
cnf(c_0_811,negated_conjecture,
( product(e_1,e_2,e_2)
| 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)
| product(e_4,e_2,e_5)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_805]) ).
cnf(c_0_812,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_784]) ).
cnf(c_0_813,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_806,c_0_807]) ).
cnf(c_0_814,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_808]),c_0_69]),c_0_157]) ).
cnf(c_0_815,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_783]),c_0_218]) ).
cnf(c_0_816,negated_conjecture,
( product(e_4,e_2,e_3)
| 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_5,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_809,c_0_122]) ).
cnf(c_0_817,plain,
( 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_245,c_0_113]) ).
cnf(c_0_818,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,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) ),
inference(spm,[status(thm)],[c_0_810,c_0_117]) ).
cnf(c_0_819,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| 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_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_811,c_0_108]) ).
cnf(c_0_820,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_812]) ).
cnf(c_0_821,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_813]) ).
cnf(c_0_822,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_780]),c_0_815]),c_0_781]) ).
cnf(c_0_823,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_2,e_3)
| 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)
| product(e_4,e_2,e_3)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_816]) ).
cnf(c_0_824,negated_conjecture,
( product(e_1,e_2,e_2)
| 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)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_816]),c_0_170]),c_0_218]) ).
cnf(c_0_825,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_552,c_0_122]),c_0_817]),c_0_319]) ).
cnf(c_0_826,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_818]) ).
cnf(c_0_827,negated_conjecture,
( 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)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_819]) ).
cnf(c_0_828,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_793]) ).
cnf(c_0_829,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_820]),c_0_301]),c_0_302]) ).
cnf(c_0_830,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_821,c_0_822]) ).
cnf(c_0_831,negated_conjecture,
( product(e_4,e_2,e_3)
| 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_5,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_122]),c_0_824]) ).
cnf(c_0_832,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_825]),c_0_301]),c_0_302]),
[final] ).
cnf(c_0_833,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_826,c_0_117]) ).
cnf(c_0_834,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| 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) ),
inference(spm,[status(thm)],[c_0_827,c_0_108]) ).
cnf(c_0_835,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_2,e_2)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_787]),c_0_828]),c_0_829]) ).
cnf(c_0_836,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_830]),c_0_813]) ).
cnf(c_0_837,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_138]),c_0_170]) ).
cnf(c_0_838,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_831]),c_0_113]),c_0_832]) ).
cnf(c_0_839,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_833]) ).
cnf(c_0_840,negated_conjecture,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_834,c_0_602]) ).
cnf(c_0_841,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_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_581]) ).
cnf(c_0_842,plain,
( 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_245,c_0_101]) ).
cnf(c_0_843,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_260]),c_0_218]) ).
cnf(c_0_844,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_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_239]) ).
cnf(c_0_845,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_835]),c_0_836]) ).
cnf(c_0_846,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_837,c_0_838]) ).
cnf(c_0_847,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,e_3,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_838]),c_0_218]) ).
cnf(c_0_848,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_832,c_0_407]) ).
cnf(c_0_849,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_839,c_0_117]) ).
cnf(c_0_850,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(sr,[status(thm)],[c_0_840,c_0_717]) ).
cnf(c_0_851,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_3,e_2,e_5)
| product(e_1,e_2,e_2)
| 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_841,c_0_108]),c_0_842]) ).
cnf(c_0_852,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_843,c_0_844]) ).
cnf(c_0_853,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_845]) ).
cnf(c_0_854,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_428,c_0_846]) ).
cnf(c_0_855,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_847,c_0_848]) ).
cnf(c_0_856,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_849]) ).
cnf(c_0_857,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_849]),c_0_102]),c_0_157]),c_0_139]),
[final] ).
cnf(c_0_858,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_234]),
[final] ).
cnf(c_0_859,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_850,c_0_725]) ).
cnf(c_0_860,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_3,e_2,e_5)
| 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_479,c_0_851]),c_0_239]) ).
cnf(c_0_861,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_852]) ).
cnf(c_0_862,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_844]) ).
cnf(c_0_863,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_853,c_0_782]),c_0_230]) ).
cnf(c_0_864,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_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_122]) ).
cnf(c_0_865,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_854]),c_0_855]) ).
cnf(c_0_866,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_856,c_0_117]),c_0_857]) ).
cnf(c_0_867,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_858,c_0_859]) ).
cnf(c_0_868,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_3,e_2,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_860,c_0_472]) ).
cnf(c_0_869,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_234]) ).
cnf(c_0_870,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_861,c_0_188]),c_0_862]) ).
cnf(c_0_871,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_853,c_0_863]) ).
cnf(c_0_872,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_864,c_0_865]),c_0_113]) ).
cnf(c_0_873,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_3,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_866]),c_0_218]),
[final] ).
cnf(c_0_874,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| 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_1,e_4) ),
inference(spm,[status(thm)],[c_0_218,c_0_867]) ).
cnf(c_0_875,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_868,c_0_602]) ).
cnf(c_0_876,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_869,c_0_870]) ).
cnf(c_0_877,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_871]) ).
cnf(c_0_878,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_836]) ).
cnf(c_0_879,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_2,e_2,e_2)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_872]),c_0_139]) ).
cnf(c_0_880,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_873,c_0_430]) ).
cnf(c_0_881,negated_conjecture,
( product(e_5,e_2,e_4)
| 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_3,e_2,e_4)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_549]) ).
cnf(c_0_882,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_874,c_0_875]) ).
cnf(c_0_883,plain,
( 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_2,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_188]) ).
cnf(c_0_884,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_819]),c_0_101]) ).
cnf(c_0_885,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_876,c_0_472]) ).
cnf(c_0_886,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_877,c_0_749]),c_0_878]) ).
cnf(c_0_887,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| 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_879,c_0_880]) ).
cnf(c_0_888,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_825]) ).
cnf(c_0_889,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| 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_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_881,c_0_125]) ).
cnf(c_0_890,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_5)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_882]),c_0_139]) ).
cnf(c_0_891,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| 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_3)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_884]),c_0_349]),c_0_95]) ).
cnf(c_0_892,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_5,e_1,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_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_885]) ).
cnf(c_0_893,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_886]),c_0_845]),
[final] ).
cnf(c_0_894,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_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_402,c_0_887]) ).
cnf(c_0_895,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_355]),c_0_66]) ).
cnf(c_0_896,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_889,c_0_652]) ).
cnf(c_0_897,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_136,c_0_611]) ).
cnf(c_0_898,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_890,c_0_88]) ).
cnf(c_0_899,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_891,c_0_472]) ).
cnf(c_0_900,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_892,c_0_893])]) ).
cnf(c_0_901,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_894]),c_0_88]) ).
cnf(c_0_902,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_895]),c_0_67]) ).
cnf(c_0_903,negated_conjecture,
( product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_5,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_896,c_0_767]) ).
cnf(c_0_904,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_897,c_0_759]) ).
cnf(c_0_905,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_129,c_0_611]) ).
cnf(c_0_906,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_871]),c_0_123]) ).
cnf(c_0_907,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)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_792,c_0_602]) ).
cnf(c_0_908,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_2,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_898]) ).
cnf(c_0_909,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_899,c_0_602]) ).
cnf(c_0_910,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,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_137,c_0_900]),c_0_88]) ).
cnf(c_0_911,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_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_901]) ).
cnf(c_0_912,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_902]) ).
cnf(c_0_913,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_902]),c_0_84]) ).
cnf(c_0_914,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_903,c_0_770]) ).
cnf(c_0_915,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_904,c_0_767]) ).
cnf(c_0_916,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_905,c_0_494]) ).
cnf(c_0_917,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_906]),
[final] ).
cnf(c_0_918,negated_conjecture,
( product(e_4,e_1,e_2)
| 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_1,e_3)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_882]) ).
cnf(c_0_919,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_907,c_0_725]) ).
cnf(c_0_920,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,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_875]) ).
cnf(c_0_921,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_908,c_0_909]) ).
cnf(c_0_922,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_910]),c_0_710]) ).
cnf(c_0_923,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_3,e_2,e_2)
| 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_911,c_0_410]) ).
cnf(c_0_924,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_912,c_0_122]),c_0_817]),c_0_913]) ).
cnf(c_0_925,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_914]) ).
cnf(c_0_926,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_915,c_0_725]) ).
cnf(c_0_927,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_916,c_0_725]) ).
cnf(c_0_928,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_917,c_0_845]),c_0_123]),
[final] ).
cnf(c_0_929,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_919]),c_0_472]),c_0_920]) ).
cnf(c_0_930,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_2,e_1,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_921]) ).
cnf(c_0_931,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_611,c_0_725]) ).
cnf(c_0_932,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_922]) ).
cnf(c_0_933,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_710]) ).
cnf(c_0_934,negated_conjecture,
( product(e_5,e_2,e_3)
| 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)
| product(e_4,e_2,e_3)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_831]) ).
cnf(c_0_935,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_142,c_0_759]) ).
cnf(c_0_936,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_923]),c_0_238]) ).
cnf(c_0_937,negated_conjecture,
( product(e_3,e_1,e_3)
| 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_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_924]),c_0_121]) ).
cnf(c_0_938,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_925,c_0_926]) ).
cnf(c_0_939,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_846,c_0_490]) ).
cnf(c_0_940,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_927,c_0_928]) ).
cnf(c_0_941,negated_conjecture,
( product(e_4,e_1,e_2)
| 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_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_929]),c_0_893])]) ).
cnf(c_0_942,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_930,c_0_931]) ).
cnf(c_0_943,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_919]),c_0_472]),c_0_933]) ).
cnf(c_0_944,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_4,e_2,e_3)
| 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_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_934,c_0_122]) ).
cnf(c_0_945,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_935,c_0_494]) ).
cnf(c_0_946,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_936,c_0_469]),c_0_937]) ).
cnf(c_0_947,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_938]),c_0_69]) ).
cnf(c_0_948,negated_conjecture,
( product(e_4,e_2,e_3)
| 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_4) ),
inference(sr,[status(thm)],[c_0_939,c_0_674]) ).
cnf(c_0_949,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_136,c_0_940]),c_0_142]) ).
cnf(c_0_950,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_941]),c_0_942]) ).
cnf(c_0_951,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_5)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_867]) ).
cnf(c_0_952,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_943]),c_0_893])]) ).
cnf(c_0_953,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3)
| product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_944,c_0_490]) ).
cnf(c_0_954,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_945,c_0_767]) ).
cnf(c_0_955,negated_conjecture,
( product(e_2,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_893]),
[final] ).
cnf(c_0_956,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_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_946]),c_0_302]),c_0_295]) ).
cnf(c_0_957,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_2,e_5,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_947,c_0_948]),c_0_949]) ).
cnf(c_0_958,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_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_950]) ).
cnf(c_0_959,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_951,c_0_919]) ).
cnf(c_0_960,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_952]),c_0_88]) ).
cnf(c_0_961,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_805,c_0_602]) ).
cnf(c_0_962,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_953]) ).
cnf(c_0_963,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_954,c_0_928]) ).
cnf(c_0_964,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_955,c_0_147]),c_0_481]),
[final] ).
cnf(c_0_965,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_1,e_2)
| 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_956,c_0_957]) ).
cnf(c_0_966,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_958,c_0_959]),c_0_472]) ).
cnf(c_0_967,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_960]) ).
cnf(c_0_968,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_961,c_0_725]) ).
cnf(c_0_969,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_924]),c_0_825]) ).
cnf(c_0_970,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_962,c_0_963]),c_0_964]),c_0_928]) ).
cnf(c_0_971,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_927]),c_0_142]) ).
cnf(c_0_972,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_129,c_0_926]),c_0_142]) ).
cnf(c_0_973,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_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_965]),c_0_88]) ).
cnf(c_0_974,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_891]) ).
cnf(c_0_975,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_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_966]),c_0_893])]) ).
cnf(c_0_976,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_967,c_0_968]),c_0_472]) ).
cnf(c_0_977,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_843,c_0_969]) ).
cnf(c_0_978,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_970]) ).
cnf(c_0_979,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_971,c_0_963]),c_0_928]),c_0_972]) ).
cnf(c_0_980,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_973]),c_0_893])]) ).
cnf(c_0_981,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| 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_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_974,c_0_108]),c_0_101]) ).
cnf(c_0_982,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_975]),c_0_950]) ).
cnf(c_0_983,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_976]),c_0_893])]) ).
cnf(c_0_984,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_977]),c_0_157]),c_0_139]) ).
cnf(c_0_985,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_978,c_0_979]) ).
cnf(c_0_986,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_980]),c_0_142]),
[final] ).
cnf(c_0_987,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_942]) ).
cnf(c_0_988,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_981,c_0_472]) ).
cnf(c_0_989,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_982]),c_0_942]) ).
cnf(c_0_990,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_3)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_218,c_0_983]) ).
cnf(c_0_991,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,e_3,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_984,c_0_88]) ).
cnf(c_0_992,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_985]),c_0_986]) ).
cnf(c_0_993,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_5,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_180]) ).
cnf(c_0_994,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_987,c_0_88]) ).
cnf(c_0_995,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_988,c_0_602]) ).
cnf(c_0_996,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_989]) ).
cnf(c_0_997,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_990,c_0_989]) ).
cnf(c_0_998,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_991]) ).
cnf(c_0_999,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_237]),c_0_172]),c_0_321]),c_0_305]) ).
cnf(c_0_1000,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_992,c_0_88]) ).
cnf(c_0_1001,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| 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_993,c_0_138]) ).
cnf(c_0_1002,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_994]) ).
cnf(c_0_1003,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,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_201,c_0_995]),c_0_500]) ).
cnf(c_0_1004,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_996,c_0_997]) ).
cnf(c_0_1005,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_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_180]) ).
cnf(c_0_1006,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_998,c_0_999]),c_0_62]) ).
cnf(c_0_1007,negated_conjecture,
( product(e_2,e_3,e_5)
| 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,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1000]) ).
cnf(c_0_1008,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1001]) ).
cnf(c_0_1009,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_1,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_1002,c_0_750]),c_0_1003]) ).
cnf(c_0_1010,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_993,c_0_1004]),c_0_1005]) ).
cnf(c_0_1011,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_1004]) ).
cnf(c_0_1012,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1006]),c_0_69]),c_0_295]) ).
cnf(c_0_1013,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_872]),c_0_71]) ).
cnf(c_0_1014,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_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_191]) ).
cnf(c_0_1015,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1007,c_0_963]),c_0_986]) ).
cnf(c_0_1016,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_980]) ).
cnf(c_0_1017,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,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(sr,[status(thm)],[c_0_991,c_0_490]) ).
cnf(c_0_1018,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1008,c_0_138]) ).
cnf(c_0_1019,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_201,c_0_909]) ).
cnf(c_0_1020,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1009]),c_0_942]) ).
cnf(c_0_1021,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1010]) ).
cnf(c_0_1022,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1011,c_0_750]) ).
cnf(c_0_1023,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_969]) ).
cnf(c_0_1024,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_5,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_803]),c_0_1013]),c_0_113]) ).
cnf(c_0_1025,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1014,c_0_963]) ).
cnf(c_0_1026,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_1015]),c_0_490]) ).
cnf(c_0_1027,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_963]) ).
cnf(c_0_1028,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| 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_1016,c_0_1017]) ).
cnf(c_0_1029,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1018]),c_0_83]) ).
cnf(c_0_1030,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1019,c_0_1020]) ).
cnf(c_0_1031,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_942]) ).
cnf(c_0_1032,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_99,c_0_103]) ).
cnf(c_0_1033,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1021,c_0_1004]) ).
cnf(c_0_1034,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_201,c_0_919]) ).
cnf(c_0_1035,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1022]),c_0_989]) ).
cnf(c_0_1036,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_968]),c_0_500]) ).
cnf(c_0_1037,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1023,c_0_1024]) ).
cnf(c_0_1038,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1025]),c_0_986]) ).
cnf(c_0_1039,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_1026]) ).
cnf(c_0_1040,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_5,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_1027,c_0_1028]),c_0_986]) ).
cnf(c_0_1041,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_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1029,c_0_1030]),c_0_674]),c_0_1031]) ).
cnf(c_0_1042,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_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_1032]),
[final] ).
cnf(c_0_1043,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_1033]) ).
cnf(c_0_1044,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1034,c_0_1035]),c_0_1036]) ).
cnf(c_0_1045,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_5,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1037]),c_0_838]) ).
cnf(c_0_1046,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_969]) ).
cnf(c_0_1047,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1015]),c_0_1039]) ).
cnf(c_0_1048,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,e_5,e_1)
| ~ product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_1040]) ).
cnf(c_0_1049,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_931]) ).
cnf(c_0_1050,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_1041]),c_0_230]) ).
cnf(c_0_1051,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_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_1042,c_0_108]) ).
cnf(c_0_1052,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_997]) ).
cnf(c_0_1053,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1043,c_0_1044]) ).
cnf(c_0_1054,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_837,c_0_1045]),c_0_1046]) ).
cnf(c_0_1055,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1047]) ).
cnf(c_0_1056,negated_conjecture,
( product(e_3,e_2,e_4)
| 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_1048,c_0_1000]) ).
cnf(c_0_1057,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_99,c_0_91]) ).
cnf(c_0_1058,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_5,e_2)
| product(e_1,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1049,c_0_1050]) ).
cnf(c_0_1059,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_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1051,c_0_602]) ).
cnf(c_0_1060,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1052,c_0_1053]),c_0_230]) ).
cnf(c_0_1061,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,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_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_1054,c_0_490]) ).
cnf(c_0_1062,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_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1055,c_0_1056]) ).
cnf(c_0_1063,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_1,e_5,X1)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1057]) ).
cnf(c_0_1064,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_249]) ).
cnf(c_0_1065,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1058]),c_0_157]),c_0_459]) ).
cnf(c_0_1066,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| 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(sr,[status(thm)],[c_0_1059,c_0_725]) ).
cnf(c_0_1067,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_5,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1060]),c_0_893])]) ).
cnf(c_0_1068,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1061,c_0_674]) ).
cnf(c_0_1069,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3)
| ~ product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_831]),c_0_121]),c_0_123]) ).
cnf(c_0_1070,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| 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_956,c_0_1062]) ).
cnf(c_0_1071,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_1,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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1063,c_0_249]),c_0_1064]) ).
cnf(c_0_1072,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_160]),
[final] ).
cnf(c_0_1073,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_1,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1065,c_0_1066]) ).
cnf(c_0_1074,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_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_227]) ).
cnf(c_0_1075,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_1,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1049,c_0_1067]) ).
cnf(c_0_1076,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_977,c_0_490]) ).
cnf(c_0_1077,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_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1068]),c_0_157]) ).
cnf(c_0_1078,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1069,c_0_893])]) ).
cnf(c_0_1079,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_1070]),c_0_88]) ).
cnf(c_0_1080,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_1071]),c_0_62]),c_0_285]),
[final] ).
cnf(c_0_1081,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1072,c_0_1071]),c_0_170]),
[final] ).
cnf(c_0_1082,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_5,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_107,c_0_1073]),c_0_1020]) ).
cnf(c_0_1083,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1067]) ).
cnf(c_0_1084,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,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_1074,c_0_1004]) ).
cnf(c_0_1085,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_1067]) ).
cnf(c_0_1086,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1075]),c_0_157]),c_0_459]) ).
cnf(c_0_1087,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_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1076]),c_0_1077]) ).
cnf(c_0_1088,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1078]) ).
cnf(c_0_1089,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1079]),c_0_893])]) ).
cnf(c_0_1090,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_272,c_0_483]) ).
cnf(c_0_1091,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_314]) ).
cnf(c_0_1092,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_314]) ).
cnf(c_0_1093,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| 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(spm,[status(thm)],[c_0_1080,c_0_239]),c_0_1081]) ).
cnf(c_0_1094,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1082]) ).
cnf(c_0_1095,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1083,c_0_1084]),c_0_1085]) ).
cnf(c_0_1096,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_301,c_0_997]) ).
cnf(c_0_1097,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_1086,c_0_1066]) ).
cnf(c_0_1098,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| 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_796,c_0_1004]) ).
cnf(c_0_1099,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_129,c_0_1067]) ).
cnf(c_0_1100,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_5,e_1,e_2)
| product(e_4,e_1,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_1087,c_0_1078]) ).
cnf(c_0_1101,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_922]) ).
cnf(c_0_1102,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1088,c_0_1089]) ).
cnf(c_0_1103,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1090]),c_0_139]) ).
cnf(c_0_1104,negated_conjecture,
( 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_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1091,c_0_1057]),c_0_1092]) ).
cnf(c_0_1105,negated_conjecture,
( 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_1,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1093]) ).
cnf(c_0_1106,negated_conjecture,
( 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_1,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1093]),c_0_218]),
[final] ).
cnf(c_0_1107,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1095]),c_0_1096]) ).
cnf(c_0_1108,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,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1097]) ).
cnf(c_0_1109,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1083,c_0_1098]),c_0_725]),c_0_1099]) ).
cnf(c_0_1110,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_2,e_3)
| 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_1016,c_0_1100]) ).
cnf(c_0_1111,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1101,c_0_1102]),c_0_1103]),c_0_1077]) ).
cnf(c_0_1112,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| ~ product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_136,c_0_1104]) ).
cnf(c_0_1113,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_3)
| 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(spm,[status(thm)],[c_0_1105,c_0_325]),c_0_1106]) ).
cnf(c_0_1114,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_5,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_1107]) ).
cnf(c_0_1115,negated_conjecture,
( product(e_5,e_3,e_3)
| 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_1108,c_0_1109]) ).
cnf(c_0_1116,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_218,c_0_1097]),c_0_139]) ).
cnf(c_0_1117,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_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_998,c_0_188]) ).
cnf(c_0_1118,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_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_998,c_0_191]),c_0_63]) ).
cnf(c_0_1119,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1110]),c_0_1111]) ).
cnf(c_0_1120,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_1,e_4,e_3)
| 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_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1112,c_0_1113]) ).
cnf(c_0_1121,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1114,c_0_1115]),c_0_1116]) ).
cnf(c_0_1122,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1012,c_0_1117]) ).
cnf(c_0_1123,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1118]),c_0_69]) ).
cnf(c_0_1124,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_4,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1119]),c_0_80]) ).
cnf(c_0_1125,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_1,e_4,e_3)
| product(e_5,e_1,e_3)
| 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_564,c_0_1120]),c_0_66]) ).
cnf(c_0_1126,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_5,e_2)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_1075]) ).
cnf(c_0_1127,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1121]) ).
cnf(c_0_1128,negated_conjecture,
( product(e_4,e_5,e_2)
| 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_218,c_0_1121]) ).
cnf(c_0_1129,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1122]),c_0_124]) ).
cnf(c_0_1130,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_1117]),c_0_1013]) ).
cnf(c_0_1131,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,e_1,e_3)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_1068]) ).
cnf(c_0_1132,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| 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_1124,c_0_750]) ).
cnf(c_0_1133,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,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1015]),c_0_218]) ).
cnf(c_0_1134,negated_conjecture,
( product(e_5,e_1,e_3)
| 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_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_564,c_0_1125]),c_0_67]) ).
cnf(c_0_1135,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_4,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1126,c_0_191]) ).
cnf(c_0_1136,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1127,c_0_1109]),c_0_1128]) ).
cnf(c_0_1137,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1129,c_0_1130]),c_0_1013]) ).
cnf(c_0_1138,negated_conjecture,
( product(e_4,e_2,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_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1131,c_0_1132]),c_0_1133]) ).
cnf(c_0_1139,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_5,e_5,e_2)
| product(e_5,e_5,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1134]),c_0_136]) ).
cnf(c_0_1140,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_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1134]),c_0_844]) ).
cnf(c_0_1141,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1135]),c_0_69]) ).
cnf(c_0_1142,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_251,c_0_1030]) ).
cnf(c_0_1143,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1136]) ).
cnf(c_0_1144,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_1137]) ).
cnf(c_0_1145,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,e_1,e_3)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1138]) ).
cnf(c_0_1146,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_586]) ).
cnf(c_0_1147,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1139,c_0_299]) ).
cnf(c_0_1148,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_5,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1010]),c_0_302]),c_0_137]) ).
cnf(c_0_1149,negated_conjecture,
( 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_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1140,c_0_472]) ).
cnf(c_0_1150,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_314]),c_0_302]),c_0_301]) ).
cnf(c_0_1151,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1141,c_0_1095]) ).
cnf(c_0_1152,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_1142]),c_0_230]) ).
cnf(c_0_1153,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1143,c_0_989]) ).
cnf(c_0_1154,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_1144]) ).
cnf(c_0_1155,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_1144]) ).
cnf(c_0_1156,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_3)
| 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_1145,c_0_980]) ).
cnf(c_0_1157,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_2)
| 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_1146,c_0_122]) ).
cnf(c_0_1158,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1147,c_0_472]) ).
cnf(c_0_1159,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_469]) ).
cnf(c_0_1160,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1148,c_0_1149]),c_0_1150]) ).
cnf(c_0_1161,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_1,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_1151]) ).
cnf(c_0_1162,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_1152]) ).
cnf(c_0_1163,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_1153]),c_0_218]) ).
cnf(c_0_1164,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_4,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_866,c_0_674]) ).
cnf(c_0_1165,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_458,c_0_989]) ).
cnf(c_0_1166,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_950]),c_0_500]) ).
cnf(c_0_1167,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_99,c_0_87]) ).
cnf(c_0_1168,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1154,c_0_838]),c_0_1155]) ).
cnf(c_0_1169,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,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_1156]),c_0_88]) ).
cnf(c_0_1170,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,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(sr,[status(thm)],[c_0_1157,c_0_490]) ).
cnf(c_0_1171,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1158]),c_0_301]) ).
cnf(c_0_1172,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1159,c_0_1160]),c_0_66]) ).
cnf(c_0_1173,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_4,e_3)
| product(e_1,e_4,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_1161,c_0_1030]),c_0_1096]) ).
cnf(c_0_1174,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_1162]) ).
cnf(c_0_1175,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1163,c_0_1164]),c_0_1165]),c_0_1166]),c_0_1096]) ).
cnf(c_0_1176,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_139,c_0_1167]) ).
cnf(c_0_1177,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1168,c_0_490]) ).
cnf(c_0_1178,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1169]) ).
cnf(c_0_1179,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| 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(sr,[status(thm)],[c_0_1170,c_0_928]) ).
cnf(c_0_1180,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1102]) ).
cnf(c_0_1181,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1171,c_0_1172]) ).
cnf(c_0_1182,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_4,e_5,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1052,c_0_1173]) ).
cnf(c_0_1183,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1174,c_0_1175]),c_0_1096]) ).
cnf(c_0_1184,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_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(spm,[status(thm)],[c_0_1176,c_0_108]) ).
cnf(c_0_1185,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1027,c_0_1177]) ).
cnf(c_0_1186,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1178,c_0_88]) ).
cnf(c_0_1187,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(sr,[status(thm)],[c_0_969,c_0_490]) ).
cnf(c_0_1188,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_1179]) ).
cnf(c_0_1189,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1180,c_0_980]) ).
cnf(c_0_1190,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_1181]) ).
cnf(c_0_1191,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_3,e_1,e_4)
| product(e_4,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1182]),c_0_1136]) ).
cnf(c_0_1192,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1183]),c_0_295]) ).
cnf(c_0_1193,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_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1184,c_0_602]) ).
cnf(c_0_1194,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_1,e_4)
| ~ product(e_5,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1185]),c_0_986]) ).
cnf(c_0_1195,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1186]) ).
cnf(c_0_1196,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1187]),c_0_139]) ).
cnf(c_0_1197,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1188,c_0_1189]) ).
cnf(c_0_1198,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_562]) ).
cnf(c_0_1199,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1190,c_0_1191]),c_0_1192]) ).
cnf(c_0_1200,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| 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)],[c_0_1193,c_0_725]) ).
cnf(c_0_1201,negated_conjecture,
( product(e_3,e_1,e_4)
| 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_1194,c_0_1186]) ).
cnf(c_0_1202,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1195,c_0_1089]) ).
cnf(c_0_1203,negated_conjecture,
( 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_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_750]) ).
cnf(c_0_1204,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| 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)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1157]) ).
cnf(c_0_1205,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1196,c_0_1197]),c_0_956]) ).
cnf(c_0_1206,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1198,c_0_88]) ).
cnf(c_0_1207,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1049,c_0_1199]) ).
cnf(c_0_1208,plain,
( 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_4)
| product(e_2,e_5,e_5)
| ~ product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_107,c_0_1200]) ).
cnf(c_0_1209,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,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1201]) ).
cnf(c_0_1210,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_1202]),c_0_490]) ).
cnf(c_0_1211,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1203,c_0_980]) ).
cnf(c_0_1212,negated_conjecture,
( product(e_5,e_3,e_1)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1204,c_0_1205]),c_0_490]),c_0_928]) ).
cnf(c_0_1213,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_494,c_0_928]) ).
cnf(c_0_1214,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_1206,c_0_652]) ).
cnf(c_0_1215,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_4,e_1,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1207]),c_0_139]),c_0_92]) ).
cnf(c_0_1216,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1208,c_0_989]) ).
cnf(c_0_1217,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1067]),c_0_218]) ).
cnf(c_0_1218,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(spm,[status(thm)],[c_0_1209,c_0_1210]) ).
cnf(c_0_1219,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_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1132]) ).
cnf(c_0_1220,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_5,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1211]),c_0_248]) ).
cnf(c_0_1221,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1212]),c_0_1213]) ).
cnf(c_0_1222,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1214,c_0_674]) ).
cnf(c_0_1223,negated_conjecture,
( product(e_3,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1215,c_0_1216]),c_0_1217]) ).
cnf(c_0_1224,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1218]),c_0_157]) ).
cnf(c_0_1225,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_4,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1219,c_0_980]),c_0_1220]) ).
cnf(c_0_1226,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1221]) ).
cnf(c_0_1227,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_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_791]) ).
cnf(c_0_1228,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1222]) ).
cnf(c_0_1229,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_3,e_5,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1223]) ).
cnf(c_0_1230,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_1,e_3)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1076]),c_0_1111]),c_0_1224]) ).
cnf(c_0_1231,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_4,e_2,e_3)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1225]) ).
cnf(c_0_1232,negated_conjecture,
( product(e_4,e_3,e_1)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1226,c_0_1205]) ).
cnf(c_0_1233,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_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) ),
inference(spm,[status(thm)],[c_0_1227,c_0_122]) ).
cnf(c_0_1234,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1228,c_0_979]) ).
cnf(c_0_1235,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_544,c_0_652]) ).
cnf(c_0_1236,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_5,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1172]),c_0_92]) ).
cnf(c_0_1237,negated_conjecture,
( product(e_3,e_5,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_1229,c_0_1020]),c_0_1096]) ).
cnf(c_0_1238,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| 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_1016,c_0_1230]) ).
cnf(c_0_1239,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_3)
| 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_1231,c_0_980]) ).
cnf(c_0_1240,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_1111]) ).
cnf(c_0_1241,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1232]),c_0_1213]) ).
cnf(c_0_1242,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| 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)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1233]) ).
cnf(c_0_1243,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_1234]),c_0_83]) ).
cnf(c_0_1244,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_5,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1235,c_0_767]) ).
cnf(c_0_1245,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1236,c_0_1237]) ).
cnf(c_0_1246,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1128,c_0_1237]) ).
cnf(c_0_1247,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1238]),c_0_1119]) ).
cnf(c_0_1248,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_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1239]),c_0_1225]) ).
cnf(c_0_1249,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1213]) ).
cnf(c_0_1250,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1240,c_0_1241]) ).
cnf(c_0_1251,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1242,c_0_1189]),c_0_490]),c_0_928]) ).
cnf(c_0_1252,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_138,c_0_674]) ).
cnf(c_0_1253,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1243,c_0_1244]) ).
cnf(c_0_1254,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1245]),c_0_1246]) ).
cnf(c_0_1255,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_5,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_1247]) ).
cnf(c_0_1256,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_5,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1187]) ).
cnf(c_0_1257,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1205]),c_0_69]),c_0_129]) ).
cnf(c_0_1258,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_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1248]) ).
cnf(c_0_1259,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_1,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1249,c_0_1250]) ).
cnf(c_0_1260,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_2,e_4)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1251]) ).
cnf(c_0_1261,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_1252]),c_0_170]),
[final] ).
cnf(c_0_1262,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1253]),c_0_893])]) ).
cnf(c_0_1263,negated_conjecture,
( 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_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_671]) ).
cnf(c_0_1264,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1254]) ).
cnf(c_0_1265,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1255,c_0_1167]),c_0_1256]),c_0_1257]) ).
cnf(c_0_1266,negated_conjecture,
( product(e_3,e_2,e_5)
| 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_1258,c_0_980]) ).
cnf(c_0_1267,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_3)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_1259]) ).
cnf(c_0_1268,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1260,c_0_1189]) ).
cnf(c_0_1269,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1261,c_0_1262]) ).
cnf(c_0_1270,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_5)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1263,c_0_926]) ).
cnf(c_0_1271,negated_conjecture,
( product(e_4,e_1,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_1264,c_0_1030]),c_0_1096]) ).
cnf(c_0_1272,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_5)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_1265]) ).
cnf(c_0_1273,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_5)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_1266]) ).
cnf(c_0_1274,negated_conjecture,
( product(e_5,e_3,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1267,c_0_1268]) ).
cnf(c_0_1275,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1269]) ).
cnf(c_0_1276,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_1270]),c_0_217]) ).
cnf(c_0_1277,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1271]),c_0_1246]) ).
cnf(c_0_1278,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1175]) ).
cnf(c_0_1279,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_5,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1272,c_0_1241]) ).
cnf(c_0_1280,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1273,c_0_1241]) ).
cnf(c_0_1281,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_112,c_0_103]) ).
cnf(c_0_1282,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1089]) ).
cnf(c_0_1283,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1274]),c_0_1250]) ).
cnf(c_0_1284,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1275,c_0_88]),c_0_179]) ).
cnf(c_0_1285,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1276,c_0_1244]) ).
cnf(c_0_1286,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_129,c_0_1277]) ).
cnf(c_0_1287,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1278,c_0_1237]) ).
cnf(c_0_1288,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1279]),c_0_1280]) ).
cnf(c_0_1289,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_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_1281]) ).
cnf(c_0_1290,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1282]),c_0_170]) ).
cnf(c_0_1291,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1283]),c_0_1250]) ).
cnf(c_0_1292,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1284]),c_0_893])]) ).
cnf(c_0_1293,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_4)
| 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_71,c_0_1285]),c_0_893])]) ).
cnf(c_0_1294,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1286]),c_0_986]),
[final] ).
cnf(c_0_1295,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1287]),c_0_142]) ).
cnf(c_0_1296,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1249,c_0_1288]) ).
cnf(c_0_1297,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_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1233,c_0_490]) ).
cnf(c_0_1298,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_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) ),
inference(spm,[status(thm)],[c_0_1289,c_0_122]) ).
cnf(c_0_1299,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_883,c_0_938]) ).
cnf(c_0_1300,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1290,c_0_1291]) ).
cnf(c_0_1301,negated_conjecture,
( product(e_2,e_4,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1292]),c_0_458]),
[final] ).
cnf(c_0_1302,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1293,c_0_1294]),c_0_1295]) ).
cnf(c_0_1303,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| ~ product(e_5,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1296]),c_0_137]) ).
cnf(c_0_1304,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| 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)],[c_0_1297,c_0_928]) ).
cnf(c_0_1305,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_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1298,c_0_490]) ).
cnf(c_0_1306,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_4,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_217,c_0_1299]),c_0_1244]) ).
cnf(c_0_1307,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1300]),c_0_69]) ).
cnf(c_0_1308,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_938,c_0_1294]),c_0_1295]) ).
cnf(c_0_1309,negated_conjecture,
~ product(e_2,e_3,e_5),
inference(spm,[status(thm)],[c_0_1294,c_0_1301]),
[final] ).
cnf(c_0_1310,negated_conjecture,
( product(e_2,e_5,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_1302]),c_0_295]) ).
cnf(c_0_1311,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(e_1,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_182]) ).
cnf(c_0_1312,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1303,c_0_1304]) ).
cnf(c_0_1313,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1296]),c_0_157]) ).
cnf(c_0_1314,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| 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(sr,[status(thm)],[c_0_1305,c_0_928]) ).
cnf(c_0_1315,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1232]),c_0_218]),
[final] ).
cnf(c_0_1316,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_239]) ).
cnf(c_0_1317,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1306,c_0_1294]),c_0_1295]) ).
cnf(c_0_1318,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_759,c_0_767]) ).
cnf(c_0_1319,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1307,c_0_1308]),c_0_1309]),c_0_1310]) ).
cnf(c_0_1320,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_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1311,c_0_1167]) ).
cnf(c_0_1321,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1312]),c_0_157]) ).
cnf(c_0_1322,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1313,c_0_1314]),c_0_1315]) ).
cnf(c_0_1323,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_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1316,c_0_1167]) ).
cnf(c_0_1324,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1317]) ).
cnf(c_0_1325,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_1318,c_0_1294]) ).
cnf(c_0_1326,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1103,c_0_1319]) ).
cnf(c_0_1327,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| 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_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_538]),c_0_170]) ).
cnf(c_0_1328,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)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1320]) ).
cnf(c_0_1329,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)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_1320]) ).
cnf(c_0_1330,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1288]) ).
cnf(c_0_1331,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_1321,c_0_1322]) ).
cnf(c_0_1332,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| 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)],[c_0_1323,c_0_472]) ).
cnf(c_0_1333,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1324,c_0_1325]),c_0_1295]) ).
cnf(c_0_1334,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1326]) ).
cnf(c_0_1335,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1327,c_0_1319]),c_0_652]),c_0_767]),c_0_1294]),c_0_1295]) ).
cnf(c_0_1336,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_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1328,c_0_1167]),c_0_1329]) ).
cnf(c_0_1337,negated_conjecture,
( product(e_5,e_3,e_2)
| 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_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_1331]),c_0_725]) ).
cnf(c_0_1338,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1332]),c_0_107]) ).
cnf(c_0_1339,negated_conjecture,
( product(e_2,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_71,c_0_1333]),c_0_893])]) ).
cnf(c_0_1340,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1334,c_0_1335]),c_0_472]) ).
cnf(c_0_1341,negated_conjecture,
( 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)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1336]) ).
cnf(c_0_1342,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_5,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1016,c_0_1337]) ).
cnf(c_0_1343,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1330,c_0_1078]),c_0_602]) ).
cnf(c_0_1344,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| 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_190,c_0_1296]) ).
cnf(c_0_1345,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_5,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_180]) ).
cnf(c_0_1346,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1338,c_0_1339]) ).
cnf(c_0_1347,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_5,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1340]),c_0_893])]) ).
cnf(c_0_1348,negated_conjecture,
( product(e_4,e_3,e_5)
| 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) ),
inference(spm,[status(thm)],[c_0_1341,c_0_1167]) ).
cnf(c_0_1349,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1089]) ).
cnf(c_0_1350,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1342]),c_0_1343]) ).
cnf(c_0_1351,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_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1187]) ).
cnf(c_0_1352,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1344]),c_0_980]) ).
cnf(c_0_1353,negated_conjecture,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_993,c_0_1057]),c_0_1345]) ).
cnf(c_0_1354,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_1346]),c_0_1347]) ).
cnf(c_0_1355,negated_conjecture,
( 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)
| product(e_4,e_3,e_5)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1348]) ).
cnf(c_0_1356,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1349,c_0_1350]) ).
cnf(c_0_1357,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_5)
| 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_1351,c_0_1352]) ).
cnf(c_0_1358,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1353]) ).
cnf(c_0_1359,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_1354]),c_0_1277]) ).
cnf(c_0_1360,negated_conjecture,
( product(e_3,e_3,e_5)
| product(e_4,e_3,e_5)
| 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) ),
inference(spm,[status(thm)],[c_0_1355,c_0_1167]) ).
cnf(c_0_1361,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1356]) ).
cnf(c_0_1362,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_4,e_1,e_5)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1357]),c_0_1288]) ).
cnf(c_0_1363,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_4,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_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1358,c_0_1057]) ).
cnf(c_0_1364,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1277]) ).
cnf(c_0_1365,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1236,c_0_1359]) ).
cnf(c_0_1366,negated_conjecture,
( 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_5)
| ~ product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1360]),c_0_129]),c_0_459]),
[final] ).
cnf(c_0_1367,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1361,c_0_1362]) ).
cnf(c_0_1368,negated_conjecture,
( 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)
| product(e_4,e_5,e_5)
| product(e_5,e_5,e_5)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1363]) ).
cnf(c_0_1369,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_5,e_2)
| product(e_5,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1364,c_0_1365]) ).
cnf(c_0_1370,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_3,e_5,e_5)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1366,c_0_1250]),c_0_1257]) ).
cnf(c_0_1371,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1296]) ).
cnf(c_0_1372,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1367]),c_0_1241]) ).
cnf(c_0_1373,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_5,e_5,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_993,c_0_227]) ).
cnf(c_0_1374,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_5,e_5,e_5)
| product(e_4,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_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1368,c_0_1057]) ).
cnf(c_0_1375,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1369]),c_0_1365]) ).
cnf(c_0_1376,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_4,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_1370,c_0_1309]) ).
cnf(c_0_1377,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1354]),c_0_139]),c_0_302]),c_0_295]),
[final] ).
cnf(c_0_1378,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1371,c_0_1372]) ).
cnf(c_0_1379,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,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)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1373]) ).
cnf(c_0_1380,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,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)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1373]),c_0_248]) ).
cnf(c_0_1381,plain,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_249]) ).
cnf(c_0_1382,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_5,e_5,e_5)
| ~ product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1374]),c_0_170]),c_0_459]) ).
cnf(c_0_1383,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1375]),c_0_1339]) ).
cnf(c_0_1384,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_3,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1376,c_0_1377]) ).
cnf(c_0_1385,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1378,c_0_1309]) ).
cnf(c_0_1386,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_5,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1379,c_0_227]),c_0_1380]) ).
cnf(c_0_1387,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1381,c_0_1302]) ).
cnf(c_0_1388,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1382,c_0_1383]),c_0_1086]) ).
cnf(c_0_1389,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_3)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1384]) ).
cnf(c_0_1390,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1291,c_0_1309]) ).
cnf(c_0_1391,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_1385]),c_0_170]),
[final] ).
cnf(c_0_1392,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1300]) ).
cnf(c_0_1393,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_3)
| ~ product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1300]),c_0_295]) ).
cnf(c_0_1394,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_5,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)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1386]) ).
cnf(c_0_1395,negated_conjecture,
( 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1387]),c_0_137]),c_0_107]) ).
cnf(c_0_1396,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1388]),c_0_1277]) ).
cnf(c_0_1397,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1389,c_0_1390]),c_0_1391]) ).
cnf(c_0_1398,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1392,c_0_1089]),c_0_1393]) ).
cnf(c_0_1399,negated_conjecture,
( product(e_3,e_5,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_5,e_4,e_2)
| product(e_5,e_5,e_4)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1394,c_0_227]) ).
cnf(c_0_1400,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1395,c_0_1396]) ).
cnf(c_0_1401,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_5,e_4) ),
inference(sr,[status(thm)],[c_0_979,c_0_1294]) ).
cnf(c_0_1402,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_3)
| product(e_5,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1397]) ).
cnf(c_0_1403,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_1398,c_0_1309]) ).
cnf(c_0_1404,negated_conjecture,
( product(e_5,e_5,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)
| product(e_3,e_5,e_4)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1399]) ).
cnf(c_0_1405,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_5,e_5,e_3)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1400]),c_0_1347]) ).
cnf(c_0_1406,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1401]) ).
cnf(c_0_1407,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1402,c_0_1403]) ).
cnf(c_0_1408,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_3,e_5,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_5,e_4,e_2)
| product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1404,c_0_227]) ).
cnf(c_0_1409,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1364,c_0_1405]) ).
cnf(c_0_1410,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_1265,c_0_1309]) ).
cnf(c_0_1411,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_4,e_5,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1406,c_0_1407]) ).
cnf(c_0_1412,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1266,c_0_1309]) ).
cnf(c_0_1413,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1408]),c_0_136]),c_0_69]) ).
cnf(c_0_1414,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_1409]),c_0_1396]) ).
cnf(c_0_1415,negated_conjecture,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_1410]) ).
cnf(c_0_1416,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1411]),c_0_1397]) ).
cnf(c_0_1417,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_1412]) ).
cnf(c_0_1418,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_2,e_5,e_4)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1387]),c_0_124]) ).
cnf(c_0_1419,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1413,c_0_1414]),c_0_1377]) ).
cnf(c_0_1420,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,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1218]) ).
cnf(c_0_1421,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_5,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,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_282]) ).
cnf(c_0_1422,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1415,c_0_1416]) ).
cnf(c_0_1423,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_1417,c_0_1416]) ).
cnf(c_0_1424,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_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1247]) ).
cnf(c_0_1425,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_1378]),c_0_170]) ).
cnf(c_0_1426,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_2,e_5,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1418,c_0_1419]) ).
cnf(c_0_1427,negated_conjecture,
( product(e_5,e_1,e_2)
| 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_1420,c_0_1202]) ).
cnf(c_0_1428,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_89]),c_0_82]) ).
cnf(c_0_1429,negated_conjecture,
( 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)
| product(e_4,e_2,e_5)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_819]),c_0_459]) ).
cnf(c_0_1430,negated_conjecture,
( 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_5,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1421,c_0_275]) ).
cnf(c_0_1431,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_3,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_182]) ).
cnf(c_0_1432,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1189,c_0_1309]) ).
cnf(c_0_1433,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1422]),c_0_1423]) ).
cnf(c_0_1434,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1424,c_0_1251]),c_0_1425]),c_0_956]) ).
cnf(c_0_1435,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1426]),c_0_1414]) ).
cnf(c_0_1436,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,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_102,c_0_1427]) ).
cnf(c_0_1437,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1263,c_0_1292]) ).
cnf(c_0_1438,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_5,e_4,e_3)
| 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_274,c_0_1281]) ).
cnf(c_0_1439,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_229]),c_0_62]),c_0_1428]) ).
cnf(c_0_1440,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_4,e_2,e_5)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1429,c_0_186]),c_0_101]),c_0_379]) ).
cnf(c_0_1441,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,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)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1430]) ).
cnf(c_0_1442,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,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_1,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1431,c_0_122]),c_0_529]) ).
cnf(c_0_1443,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1432]) ).
cnf(c_0_1444,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_1423]),
[final] ).
cnf(c_0_1445,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_5) ),
inference(sr,[status(thm)],[c_0_1292,c_0_1294]) ).
cnf(c_0_1446,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1433]) ).
cnf(c_0_1447,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1268,c_0_1309]),c_0_1391]) ).
cnf(c_0_1448,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_4,e_1,e_5)
| 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_1351,c_0_1434]) ).
cnf(c_0_1449,negated_conjecture,
( product(e_5,e_4,e_2)
| product(e_5,e_5,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1364,c_0_1435]) ).
cnf(c_0_1450,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference(sr,[status(thm)],[c_0_1218,c_0_1309]) ).
cnf(c_0_1451,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_1) ),
inference(sr,[status(thm)],[c_0_1213,c_0_1309]) ).
cnf(c_0_1452,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1210]) ).
cnf(c_0_1453,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_3,e_3)
| product(e_5,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1242,c_0_1169]),c_0_490]),c_0_928]),c_0_1436]) ).
cnf(c_0_1454,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_2,e_4,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_295,c_0_1437]),c_0_217]) ).
cnf(c_0_1455,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_581,c_0_472]) ).
cnf(c_0_1456,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1203,c_0_979]) ).
cnf(c_0_1457,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_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1252]) ).
cnf(c_0_1458,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_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_1311,c_0_795]) ).
cnf(c_0_1459,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_5,e_4,e_3)
| 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_4,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1438]) ).
cnf(c_0_1460,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_1439]),c_0_63]) ).
cnf(c_0_1461,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1440]),c_0_69]),c_0_69]),c_0_157]),
[final] ).
cnf(c_0_1462,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_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_422]) ).
cnf(c_0_1463,negated_conjecture,
( product(e_3,e_4,e_4)
| 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_5,e_4,e_4)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1441,c_0_275]) ).
cnf(c_0_1464,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1430]),c_0_295]),c_0_248]) ).
cnf(c_0_1465,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_325]),c_0_302]),c_0_301]) ).
cnf(c_0_1466,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| 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_190,c_0_1442]) ).
cnf(c_0_1467,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,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_1014,c_0_1292]) ).
cnf(c_0_1468,negated_conjecture,
( product(e_5,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1443,c_0_1416]),c_0_1444]) ).
cnf(c_0_1469,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1445]) ).
cnf(c_0_1470,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1446,c_0_1447]),c_0_725]),c_0_1444]) ).
cnf(c_0_1471,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_5,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_1448,c_0_1309]) ).
cnf(c_0_1472,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_3)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_1232]),c_0_218]) ).
cnf(c_0_1473,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1449]),c_0_1414]) ).
cnf(c_0_1474,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1450]),c_0_157]),
[final] ).
cnf(c_0_1475,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1451]) ).
cnf(c_0_1476,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1452,c_0_1186]) ).
cnf(c_0_1477,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1453]) ).
cnf(c_0_1478,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1454,c_0_1455]) ).
cnf(c_0_1479,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_4,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_500,c_0_1456]),c_0_201]) ).
cnf(c_0_1480,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1457,c_0_1292]) ).
cnf(c_0_1481,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_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_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1458]) ).
cnf(c_0_1482,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_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1459,c_0_1281]) ).
cnf(c_0_1483,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,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_249]) ).
cnf(c_0_1484,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_2,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_321,c_0_1460]),c_0_305]) ).
cnf(c_0_1485,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_245,c_0_419]) ).
cnf(c_0_1486,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1461,c_0_430]),c_0_146]) ).
cnf(c_0_1487,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,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) ),
inference(spm,[status(thm)],[c_0_1462,c_0_100]) ).
cnf(c_0_1488,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_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_254]),c_0_157]) ).
cnf(c_0_1489,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5)
| product(e_3,e_4,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1463]),c_0_302]),c_0_248]) ).
cnf(c_0_1490,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1464,c_0_299]),c_0_1465]) ).
cnf(c_0_1491,negated_conjecture,
( product(e_5,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)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1465,c_0_1463]) ).
cnf(c_0_1492,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_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_191]) ).
cnf(c_0_1493,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1466]),c_0_129]) ).
cnf(c_0_1494,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(sr,[status(thm)],[c_0_1467,c_0_1294]) ).
cnf(c_0_1495,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1468]) ).
cnf(c_0_1496,negated_conjecture,
( product(e_5,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)
| product(e_3,e_4,e_4)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1463]) ).
cnf(c_0_1497,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1469,c_0_1470]) ).
cnf(c_0_1498,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1471]),c_0_102]) ).
cnf(c_0_1499,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1472,c_0_1470]),c_0_1309]) ).
cnf(c_0_1500,negated_conjecture,
( product(e_5,e_5,e_4)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1364,c_0_1473]) ).
cnf(c_0_1501,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_984,c_0_1416]),c_0_490]),c_0_1309]),c_0_1474]) ).
cnf(c_0_1502,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1475,c_0_1433]) ).
cnf(c_0_1503,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_157,c_0_275]) ).
cnf(c_0_1504,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1476]) ).
cnf(c_0_1505,negated_conjecture,
( product(e_4,e_3,e_2)
| 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_3,e_3) ),
inference(spm,[status(thm)],[c_0_1477,c_0_1169]) ).
cnf(c_0_1506,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1478]),c_0_893])]) ).
cnf(c_0_1507,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1479,c_0_1455]) ).
cnf(c_0_1508,negated_conjecture,
( 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_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1480]),c_0_83]) ).
cnf(c_0_1509,negated_conjecture,
( product(e_5,e_3,e_4)
| 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_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1481,c_0_795]) ).
cnf(c_0_1510,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,e_3)
| 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_4,e_4,e_3)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1482]) ).
cnf(c_0_1511,negated_conjecture,
( product(e_1,e_4,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_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1482]),c_0_170]),c_0_218]) ).
cnf(c_0_1512,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_648]) ).
cnf(c_0_1513,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_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1483,c_0_191]) ).
cnf(c_0_1514,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1484]),c_0_500]) ).
cnf(c_0_1515,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| 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_333,c_0_1460]),c_0_315]) ).
cnf(c_0_1516,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_1484]) ).
cnf(c_0_1517,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1485]),c_0_139]) ).
cnf(c_0_1518,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_402,c_0_1486]) ).
cnf(c_0_1519,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| 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)
| product(e_5,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_1487]),c_0_1488]) ).
cnf(c_0_1520,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_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_887]) ).
cnf(c_0_1521,negated_conjecture,
( 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_1,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_275]) ).
cnf(c_0_1522,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1489,c_0_1490]) ).
cnf(c_0_1523,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1491]),c_0_69]),c_0_248]) ).
cnf(c_0_1524,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_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_1032]),c_0_1492]) ).
cnf(c_0_1525,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_166]),
[final] ).
cnf(c_0_1526,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_2,e_3,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_980]),c_0_490]) ).
cnf(c_0_1527,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1296]),c_0_83]) ).
cnf(c_0_1528,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_1494]) ).
cnf(c_0_1529,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1495,c_0_1445]) ).
cnf(c_0_1530,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| 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_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1496,c_0_275]) ).
cnf(c_0_1531,plain,
( product(e_2,e_4,e_5)
| ~ product(e_2,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_142,c_0_1325]) ).
cnf(c_0_1532,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1497]) ).
cnf(c_0_1533,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_1498,c_0_1499]) ).
cnf(c_0_1534,negated_conjecture,
product(e_2,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1500]),c_0_1414]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1406,c_0_1501]) ).
cnf(c_0_1536,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_1502]),
[final] ).
cnf(c_0_1537,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1304,c_0_1309]),c_0_1391]) ).
cnf(c_0_1538,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_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_1503,c_0_125]) ).
cnf(c_0_1539,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_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_125]) ).
cnf(c_0_1540,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1504,c_0_1505]),c_0_725]) ).
cnf(c_0_1541,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_5,e_2,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1506]),c_0_69]) ).
cnf(c_0_1542,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1507]),c_0_893])]) ).
cnf(c_0_1543,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1508,c_0_1455]),c_0_245]) ).
cnf(c_0_1544,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| 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_5,e_3,e_4)
| product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1509]) ).
cnf(c_0_1545,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| 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_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1509]),c_0_248]) ).
cnf(c_0_1546,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_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_5,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1510,c_0_1281]),c_0_1511]) ).
cnf(c_0_1547,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_116]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_539,c_0_1512]) ).
cnf(c_0_1549,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_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_1513]) ).
cnf(c_0_1550,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_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1483,c_0_188]) ).
cnf(c_0_1551,negated_conjecture,
( product(e_3,e_1,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_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1483,c_0_189]) ).
cnf(c_0_1552,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_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_1513]) ).
cnf(c_0_1553,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_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1514,c_0_188]) ).
cnf(c_0_1554,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1515]),c_0_500]) ).
cnf(c_0_1555,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1516,c_0_1515]) ).
cnf(c_0_1556,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_5,e_4,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_274,c_0_422]) ).
cnf(c_0_1557,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1517,c_0_1486]),c_0_162]) ).
cnf(c_0_1558,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_1518]),c_0_88]) ).
cnf(c_0_1559,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_1519,c_0_290]) ).
cnf(c_0_1560,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| 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_1520,c_0_88]) ).
cnf(c_0_1561,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,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_1521,c_0_1522]) ).
cnf(c_0_1562,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1523,c_0_299]) ).
cnf(c_0_1563,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_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1032]) ).
cnf(c_0_1564,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_234]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| 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_4,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1524]) ).
cnf(c_0_1566,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_129,c_0_164]),c_0_1525]) ).
cnf(c_0_1567,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1526]),c_0_1527]),c_0_142]) ).
cnf(c_0_1568,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1528,c_0_1529]) ).
cnf(c_0_1569,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1502]),c_0_71]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| ~ product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1530]),c_0_248]),c_0_69]) ).
cnf(c_0_1571,negated_conjecture,
( product(e_5,e_4,X1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1531]) ).
cnf(c_0_1572,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1502]) ).
cnf(c_0_1573,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1532,c_0_1533]) ).
cnf(c_0_1574,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1468]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1078,c_0_1309]) ).
cnf(c_0_1576,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_107,c_0_1057]) ).
cnf(c_0_1577,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,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1427]) ).
cnf(c_0_1578,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_1210]) ).
cnf(c_0_1579,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_129,c_0_1534]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1535]) ).
cnf(c_0_1581,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1536,c_0_1537]) ).
cnf(c_0_1582,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_1497]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_1538]),c_0_1539]),c_0_289]),c_0_1014]) ).
cnf(c_0_1584,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1296,c_0_1309]) ).
cnf(c_0_1585,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1349,c_0_1540]) ).
cnf(c_0_1586,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_4,e_2,e_4)
| product(e_5,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(spm,[status(thm)],[c_0_1541,c_0_1542]) ).
cnf(c_0_1587,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1543]),c_0_893])]) ).
cnf(c_0_1588,negated_conjecture,
( product(e_5,e_3,e_4)
| 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_2)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1544,c_0_795]),c_0_1545]) ).
cnf(c_0_1589,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_999]) ).
cnf(c_0_1590,negated_conjecture,
( product(e_5,e_4,e_3)
| 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_4,e_4,e_3)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1546]) ).
cnf(c_0_1591,negated_conjecture,
( 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_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_1546]),c_0_63]),c_0_137]),c_0_157]) ).
cnf(c_0_1592,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_527]),c_0_124]) ).
cnf(c_0_1593,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1548]),c_0_535]) ).
cnf(c_0_1594,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1549,c_0_1550]) ).
cnf(c_0_1595,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_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_1551]) ).
cnf(c_0_1596,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1552,c_0_1551]) ).
cnf(c_0_1597,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1553]),c_0_124]) ).
cnf(c_0_1598,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_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1554,c_0_188]) ).
cnf(c_0_1599,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1555]),c_0_295]),c_0_124]) ).
cnf(c_0_1600,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_5,e_4,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_4,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1556]) ).
cnf(c_0_1601,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_1557]),c_0_1558]) ).
cnf(c_0_1602,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_5,e_5,e_2)
| 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_993,c_0_246]) ).
cnf(c_0_1603,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1559]),c_0_218]),c_0_69]),c_0_139]) ).
cnf(c_0_1604,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_3)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_1560]),c_0_157]),c_0_218]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( 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_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1561]),c_0_275]) ).
cnf(c_0_1606,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1562]) ).
cnf(c_0_1607,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,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_1,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1563,c_0_260]),c_0_1564]) ).
cnf(c_0_1608,negated_conjecture,
( product(e_4,e_4,e_5)
| 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_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1565,c_0_1032]) ).
cnf(c_0_1609,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_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_1566,c_0_182]),c_0_321]) ).
cnf(c_0_1610,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1416]) ).
cnf(c_0_1611,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1567,c_0_1568]),c_0_1309]),c_0_1569]) ).
cnf(c_0_1612,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_4,e_4,e_4)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1570,c_0_1571]),c_0_1294]),c_0_142]) ).
cnf(c_0_1613,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1572,c_0_1573]) ).
cnf(c_0_1614,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1574,c_0_1575]) ).
cnf(c_0_1615,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1576,c_0_1186]),c_0_1577]),c_0_1578]) ).
cnf(c_0_1616,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_1416,c_0_1579]),
[final] ).
cnf(c_0_1617,negated_conjecture,
product(e_4,e_5,e_1),
inference(sr,[status(thm)],[c_0_1535,c_0_1579]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1581]),c_0_1582]) ).
cnf(c_0_1619,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_3)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_1583,c_0_652]) ).
cnf(c_0_1620,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_1,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1372]) ).
cnf(c_0_1621,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_3,e_4)
| product(e_2,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_1442,c_0_490]) ).
cnf(c_0_1622,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_1584]),c_0_83]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_1249,c_0_1476]) ).
cnf(c_0_1624,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_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1585]) ).
cnf(c_0_1625,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1586]),c_0_1587]) ).
cnf(c_0_1626,negated_conjecture,
( product(e_1,e_3,e_2)
| 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_5,e_3,e_4)
| product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1588]) ).
cnf(c_0_1627,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1589,c_0_138]) ).
cnf(c_0_1628,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_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1590,c_0_1281]),c_0_1591]) ).
cnf(c_0_1629,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_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_142,c_0_275]) ).
cnf(c_0_1630,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1592,c_0_780]) ).
cnf(c_0_1631,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_2,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_608,c_0_481]) ).
cnf(c_0_1632,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1593]),c_0_102]),c_0_84]),c_0_139]) ).
cnf(c_0_1633,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_1,e_4,e_2)
| product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1594]),c_0_121]) ).
cnf(c_0_1634,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1595,c_0_1550]) ).
cnf(c_0_1635,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_1,e_4,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1596]),c_0_121]) ).
cnf(c_0_1636,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_486]) ).
cnf(c_0_1637,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_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1597,c_0_1598]),c_0_1599]) ).
cnf(c_0_1638,negated_conjecture,
( product(e_4,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)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1600,c_0_422]) ).
cnf(c_0_1639,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| ~ product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_336]) ).
cnf(c_0_1640,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1601]) ).
cnf(c_0_1641,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,e_2)
| 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)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1602]) ).
cnf(c_0_1642,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_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1603,c_0_887]),c_0_1604]) ).
cnf(c_0_1643,negated_conjecture,
( product(e_3,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,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_5,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1605]) ).
cnf(c_0_1644,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1606,c_0_1605]) ).
cnf(c_0_1645,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_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_1607]),c_0_62]),c_0_287]),c_0_285]) ).
cnf(c_0_1646,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_286]) ).
cnf(c_0_1647,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,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,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_260]) ).
cnf(c_0_1648,negated_conjecture,
( product(e_1,e_4,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_4,e_4,e_5)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1608]) ).
cnf(c_0_1649,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1609]),c_0_121]) ).
cnf(c_0_1650,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1609]),c_0_142]) ).
cnf(c_0_1651,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1610,c_0_1611]),c_0_230]) ).
cnf(c_0_1652,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_4,e_4)
| ~ product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1612,c_0_1451]),c_0_69]) ).
cnf(c_0_1653,negated_conjecture,
product(e_5,e_3,e_4),
inference(sr,[status(thm)],[c_0_1613,c_0_1579]),
[final] ).
cnf(c_0_1654,negated_conjecture,
product(e_3,e_4,e_1),
inference(sr,[status(thm)],[c_0_1573,c_0_1579]),
[final] ).
cnf(c_0_1655,negated_conjecture,
product(e_1,e_3,e_5),
inference(sr,[status(thm)],[c_0_1502,c_0_1579]),
[final] ).
cnf(c_0_1656,plain,
product(e_2,e_3,e_1),
inference(sr,[status(thm)],[c_0_1451,c_0_1579]),
[final] ).
cnf(c_0_1657,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[c_0_1529,c_0_1579]),
[final] ).
cnf(c_0_1658,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[c_0_1614,c_0_1579]),
[final] ).
cnf(c_0_1659,negated_conjecture,
product(e_5,e_2,e_1),
inference(sr,[status(thm)],[c_0_1468,c_0_1579]),
[final] ).
cnf(c_0_1660,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[c_0_1423,c_0_1579]),
[final] ).
cnf(c_0_1661,negated_conjecture,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1615,c_0_1309]) ).
cnf(c_0_1662,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_301,c_0_1616]),
[final] ).
cnf(c_0_1663,negated_conjecture,
( product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1617]),
[final] ).
cnf(c_0_1664,negated_conjecture,
product(e_1,e_5,e_3),
inference(sr,[status(thm)],[c_0_1618,c_0_1579]),
[final] ).
cnf(c_0_1665,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1619,c_0_767]) ).
cnf(c_0_1666,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_3,e_2) ),
inference(spm,[status(thm)],[c_0_1620,c_0_1343]) ).
cnf(c_0_1667,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1339]) ).
cnf(c_0_1668,plain,
( product(e_2,e_3,e_4)
| 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(sr,[status(thm)],[c_0_1621,c_0_1309]),c_0_1622]) ).
cnf(c_0_1669,negated_conjecture,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_5,e_5,e_5)
| product(e_3,e_5,e_5)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_1374]),c_0_230]) ).
cnf(c_0_1670,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,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1623]) ).
cnf(c_0_1671,negated_conjecture,
( product(e_3,e_4,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_1624,c_0_1218]) ).
cnf(c_0_1672,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_1210]) ).
cnf(c_0_1673,negated_conjecture,
( product(e_2,e_4,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_218,c_0_1625]),c_0_1587]) ).
cnf(c_0_1674,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_5,e_3,e_4)
| 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_2) ),
inference(spm,[status(thm)],[c_0_1626,c_0_795]) ).
cnf(c_0_1675,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1627]) ).
cnf(c_0_1676,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1627]),c_0_295]),c_0_83]) ).
cnf(c_0_1677,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_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_795]),
[final] ).
cnf(c_0_1678,negated_conjecture,
( 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_4,e_4,e_3)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1628]) ).
cnf(c_0_1679,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_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_1629,c_0_1281]) ).
cnf(c_0_1680,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_1630]) ).
cnf(c_0_1681,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1252]),c_0_170]) ).
cnf(c_0_1682,negated_conjecture,
( product(e_3,e_2,X1)
| ~ product(e_2,e_2,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_701]),
[final] ).
cnf(c_0_1683,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| 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_1483,c_0_1631]),c_0_1632]) ).
cnf(c_0_1684,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_4,e_2)
| 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_1633,c_0_1634]),c_0_1635]) ).
cnf(c_0_1685,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1636,c_0_89]),c_0_82]) ).
cnf(c_0_1686,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1637,c_0_481]) ).
cnf(c_0_1687,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_5,e_4,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_4,e_4,e_2)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1638]) ).
cnf(c_0_1688,negated_conjecture,
( product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1639,c_0_1140]) ).
cnf(c_0_1689,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| ~ product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_239]) ).
cnf(c_0_1690,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1640,c_0_88]),c_0_179]) ).
cnf(c_0_1691,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_872]) ).
cnf(c_0_1692,negated_conjecture,
( product(e_4,e_5,e_2)
| 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_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1641,c_0_246]) ).
cnf(c_0_1693,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_3,e_2,e_2)
| 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,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1642]) ).
cnf(c_0_1694,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_166]) ).
cnf(c_0_1695,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_5,e_4,e_1)
| 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_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1643,c_0_1644]) ).
cnf(c_0_1696,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_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_1607]),c_0_1645]) ).
cnf(c_0_1697,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1646,c_0_999]),c_0_62]) ).
cnf(c_0_1698,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1647,c_0_189]),c_0_869]) ).
cnf(c_0_1699,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_4,e_4,e_5)
| 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(spm,[status(thm)],[c_0_1648,c_0_1032]) ).
cnf(c_0_1700,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1649,c_0_188]) ).
cnf(c_0_1701,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_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1650,c_0_191]) ).
cnf(c_0_1702,plain,
( ~ product(e_1,e_4,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_166]) ).
cnf(c_0_1703,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1651]) ).
cnf(c_0_1704,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1652,c_0_1470]) ).
cnf(c_0_1705,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1653]),
[final] ).
cnf(c_0_1706,negated_conjecture,
( product(e_1,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1654]),
[final] ).
cnf(c_0_1707,negated_conjecture,
( product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1655]),
[final] ).
cnf(c_0_1708,negated_conjecture,
( product(e_1,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1656]),
[final] ).
cnf(c_0_1709,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_2,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_1571]) ).
cnf(c_0_1710,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_5,e_3,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_1571]) ).
cnf(c_0_1711,negated_conjecture,
( product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1657]),
[final] ).
cnf(c_0_1712,negated_conjecture,
( product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1658]),
[final] ).
cnf(c_0_1713,negated_conjecture,
( product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1659]),
[final] ).
cnf(c_0_1714,negated_conjecture,
( product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1660]),
[final] ).
cnf(c_0_1715,negated_conjecture,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_5) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1661,c_0_1579]),c_0_1662]) ).
cnf(c_0_1716,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_1663]),c_0_1664])]),
[final] ).
cnf(c_0_1717,negated_conjecture,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_1533,c_0_1579]),
[final] ).
cnf(c_0_1718,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,X2,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1571]) ).
cnf(c_0_1719,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_4,e_4,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1665]),c_0_248]) ).
cnf(c_0_1720,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_1666,c_0_1309]) ).
cnf(c_0_1721,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_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_1032]),
[final] ).
cnf(c_0_1722,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1667,c_0_1347]) ).
cnf(c_0_1723,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_1668]) ).
cnf(c_0_1724,negated_conjecture,
( product(e_2,e_1,e_2)
| 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_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1669]),c_0_139]),c_0_157]) ).
cnf(c_0_1725,negated_conjecture,
( product(e_5,e_3,e_4)
| 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_1670,c_0_1671]) ).
cnf(c_0_1726,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,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1202]),c_0_1672]) ).
cnf(c_0_1727,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1673,c_0_1294]) ).
cnf(c_0_1728,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| product(e_5,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_83,c_0_1674]),c_0_142]),c_0_302]) ).
cnf(c_0_1729,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_1576,c_0_246]) ).
cnf(c_0_1730,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1675,c_0_138]) ).
cnf(c_0_1731,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_1676,c_0_357]) ).
cnf(c_0_1732,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_1,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_1576,c_0_138]) ).
cnf(c_0_1733,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_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_1311,c_0_94]) ).
cnf(c_0_1734,plain,
( 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_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_1677,c_0_94]) ).
cnf(c_0_1735,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_3)
| 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) ),
inference(spm,[status(thm)],[c_0_1678,c_0_1679]) ).
cnf(c_0_1736,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_793]) ).
cnf(c_0_1737,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1680,c_0_787]) ).
cnf(c_0_1738,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_3,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_739]),c_0_137]) ).
cnf(c_0_1739,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1681,c_0_760]),c_0_139]),
[final] ).
cnf(c_0_1740,negated_conjecture,
( product(e_3,e_1,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_701]),c_0_490]),c_0_458]),c_0_459]) ).
cnf(c_0_1741,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_179,c_0_1682]),c_0_88]),
[final] ).
cnf(c_0_1742,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_2,e_2,e_2)
| ~ product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_1683]),c_0_301]) ).
cnf(c_0_1743,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_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1636,c_0_1684]),c_0_63]),c_0_1685]) ).
cnf(c_0_1744,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_1686]),c_0_142]),c_0_121]) ).
cnf(c_0_1745,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,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)
| product(e_5,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1687,c_0_422]) ).
cnf(c_0_1746,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| 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_564,c_0_1688]),c_0_66]) ).
cnf(c_0_1747,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_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1689,c_0_795]) ).
cnf(c_0_1748,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1690]) ).
cnf(c_0_1749,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_1691]),c_0_88]) ).
cnf(c_0_1750,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1558]) ).
cnf(c_0_1751,negated_conjecture,
( 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_5,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1674]) ).
cnf(c_0_1752,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_5,e_2)
| 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)
| product(e_4,e_5,e_2)
| product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1692]) ).
cnf(c_0_1753,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_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_88]),c_0_179]) ).
cnf(c_0_1754,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_1071]),c_0_1694]),
[final] ).
cnf(c_0_1755,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1486]) ).
cnf(c_0_1756,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_325]) ).
cnf(c_0_1757,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_325]) ).
cnf(c_0_1758,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| ~ product(e_5,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_1695]),c_0_170]),c_0_248]),c_0_137]) ).
cnf(c_0_1759,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_325]) ).
cnf(c_0_1760,negated_conjecture,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1696]),c_0_157]) ).
cnf(c_0_1761,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_3)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1697]),c_0_69]),c_0_295]) ).
cnf(c_0_1762,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_1,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1646,c_0_188]) ).
cnf(c_0_1763,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,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_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_1698]) ).
cnf(c_0_1764,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1647,c_0_188]),c_0_869]) ).
cnf(c_0_1765,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1699]) ).
cnf(c_0_1766,negated_conjecture,
( product(e_5,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_4,e_1)
| product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_655]) ).
cnf(c_0_1767,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_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_1057]) ).
cnf(c_0_1768,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_136,c_0_1057]) ).
cnf(c_0_1769,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_129,c_0_1057]) ).
cnf(c_0_1770,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_142,c_0_325]) ).
cnf(c_0_1771,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_1)
| 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_506,c_0_263]) ).
cnf(c_0_1772,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1700]),c_0_142]),c_0_124]) ).
cnf(c_0_1773,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| ~ product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1701]),c_0_121]),c_0_124]) ).
cnf(c_0_1774,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_142,c_0_175]),c_0_1702]),
[final] ).
cnf(c_0_1775,negated_conjecture,
product(e_5,e_4,e_3),
inference(sr,[status(thm)],[c_0_1497,c_0_1579]),
[final] ).
cnf(c_0_1776,negated_conjecture,
product(e_3,e_1,e_4),
inference(sr,[status(thm)],[c_0_1703,c_0_1579]),
[final] ).
cnf(c_0_1777,negated_conjecture,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[c_0_1704,c_0_1579]),
[final] ).
cnf(c_0_1778,negated_conjecture,
product(e_1,e_4,e_2),
inference(sr,[status(thm)],[c_0_1651,c_0_1579]),
[final] ).
cnf(c_0_1779,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_1705]),
[final] ).
cnf(c_0_1780,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_1706]),
[final] ).
cnf(c_0_1781,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_1706]),
[final] ).
cnf(c_0_1782,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_121,c_0_1707]),
[final] ).
cnf(c_0_1783,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_136,c_0_1663]),
[final] ).
cnf(c_0_1784,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_129,c_0_1663]),
[final] ).
cnf(c_0_1785,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_1663]),
[final] ).
cnf(c_0_1786,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_1708]),
[final] ).
cnf(c_0_1787,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1709,c_0_1656])]),
[final] ).
cnf(c_0_1788,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1710,c_0_1656])]),
[final] ).
cnf(c_0_1789,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_137,c_0_1571]) ).
cnf(c_0_1790,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_1571]) ).
cnf(c_0_1791,negated_conjecture,
( ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_248,c_0_1571]) ).
cnf(c_0_1792,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_4)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1705]),
[final] ).
cnf(c_0_1793,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_4,X2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1706]),
[final] ).
cnf(c_0_1794,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_5)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1707]),
[final] ).
cnf(c_0_1795,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1711]),
[final] ).
cnf(c_0_1796,negated_conjecture,
( product(X1,e_5,X2)
| ~ product(e_5,X2,e_1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1663]),
[final] ).
cnf(c_0_1797,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1712]),
[final] ).
cnf(c_0_1798,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1713]),
[final] ).
cnf(c_0_1799,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1714]),
[final] ).
cnf(c_0_1800,negated_conjecture,
product(e_2,e_4,e_5),
inference(sr,[status(thm)],[c_0_1445,c_0_1579]),
[final] ).
cnf(c_0_1801,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1715,c_0_1716]),
[final] ).
cnf(c_0_1802,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1708]),
[final] ).
cnf(c_0_1803,negated_conjecture,
( product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1717]),
[final] ).
cnf(c_0_1804,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,e_1,X1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_72]),
[final] ).
cnf(c_0_1805,negated_conjecture,
( product(e_2,e_3,e_4)
| product(X1,e_4,X2)
| ~ product(e_4,X2,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1718,c_0_1451]) ).
cnf(c_0_1806,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_1499,c_0_1579]),
[final] ).
cnf(c_0_1807,negated_conjecture,
product(e_4,e_3,e_2),
inference(sr,[status(thm)],[c_0_1470,c_0_1579]),
[final] ).
cnf(c_0_1808,negated_conjecture,
product(e_3,e_5,e_2),
inference(sr,[status(thm)],[c_0_1433,c_0_1579]),
[final] ).
cnf(c_0_1809,negated_conjecture,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[c_0_1501,c_0_1579]),
[final] ).
cnf(c_0_1810,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_2,e_3,e_1)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1719,c_0_1571]),c_0_301]),c_0_201]) ).
cnf(c_0_1811,negated_conjecture,
( product(e_5,e_5,e_3)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1396]),c_0_157]),
[final] ).
cnf(c_0_1812,negated_conjecture,
( product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[c_0_189,c_0_1569]) ).
cnf(c_0_1813,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1610,c_0_1720]) ).
cnf(c_0_1814,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_129,c_0_1433]),
[final] ).
cnf(c_0_1815,negated_conjecture,
( product(e_2,e_5,e_4)
| 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_1721,c_0_1722]),c_0_1086]) ).
cnf(c_0_1816,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_1723,c_0_1537]) ).
cnf(c_0_1817,negated_conjecture,
( 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_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1724,c_0_1277]) ).
cnf(c_0_1818,negated_conjecture,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1251,c_0_1309]),c_0_1391]) ).
cnf(c_0_1819,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1372,c_0_1309]) ).
cnf(c_0_1820,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_5,e_4,e_3)
| product(e_3,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_1356,c_0_1309]) ).
cnf(c_0_1821,negated_conjecture,
( product(e_3,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1288,c_0_1309]) ).
cnf(c_0_1822,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_1725,c_0_1309]) ).
cnf(c_0_1823,negated_conjecture,
( product(e_1,e_4,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1726,c_0_1309]) ).
cnf(c_0_1824,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_1623,c_0_1309]) ).
cnf(c_0_1825,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_1201,c_0_1309]) ).
cnf(c_0_1826,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1727]),c_0_139]),
[final] ).
cnf(c_0_1827,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_5,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_914,c_0_1294]) ).
cnf(c_0_1828,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_5,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1728,c_0_1175]) ).
cnf(c_0_1829,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,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_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1692,c_0_670]) ).
cnf(c_0_1830,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_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1729,c_0_670]) ).
cnf(c_0_1831,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1730,c_0_674]) ).
cnf(c_0_1832,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_5,e_2) ),
inference(sr,[status(thm)],[c_0_1018,c_0_674]) ).
cnf(c_0_1833,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_1731,c_0_674]) ).
cnf(c_0_1834,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_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_1732,c_0_674]) ).
cnf(c_0_1835,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(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1733,c_0_674]) ).
cnf(c_0_1836,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_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[c_0_1734,c_0_674]) ).
cnf(c_0_1837,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1735]),c_0_69]),c_0_139]),
[final] ).
cnf(c_0_1838,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_748,c_0_677]) ).
cnf(c_0_1839,negated_conjecture,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_4,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_833,c_0_674]) ).
cnf(c_0_1840,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_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(sr,[status(thm)],[c_0_357,c_0_674]) ).
cnf(c_0_1841,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_5,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_1736,c_0_1737]) ).
cnf(c_0_1842,negated_conjecture,
( product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1738,c_0_760]),c_0_302]),
[final] ).
cnf(c_0_1843,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_2,e_4)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1739]),
[final] ).
cnf(c_0_1844,negated_conjecture,
( product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_749]) ).
cnf(c_0_1845,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_1740]),
[final] ).
cnf(c_0_1846,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_2,e_5)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1741]),
[final] ).
cnf(c_0_1847,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1742,c_0_1743]) ).
cnf(c_0_1848,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_3,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_1744,c_0_1512]),c_0_453]) ).
cnf(c_0_1849,negated_conjecture,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_653]),c_0_126]),
[final] ).
cnf(c_0_1850,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_831,c_0_490]) ).
cnf(c_0_1851,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_453]),
[final] ).
cnf(c_0_1852,negated_conjecture,
( product(e_5,e_4,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_4,e_4,e_2)
| product(e_3,e_4,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1745]),c_0_201]) ).
cnf(c_0_1853,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_1746,c_0_472]) ).
cnf(c_0_1854,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| 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(sr,[status(thm)],[c_0_1747,c_0_472]) ).
cnf(c_0_1855,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_1690]),c_0_245]),c_0_269]) ).
cnf(c_0_1856,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1748,c_0_88]) ).
cnf(c_0_1857,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_5,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_418,c_0_1749]) ).
cnf(c_0_1858,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_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1750,c_0_410]) ).
cnf(c_0_1859,negated_conjecture,
( 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_5,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_1674]) ).
cnf(c_0_1860,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_5,e_3,e_4)
| 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) ),
inference(spm,[status(thm)],[c_0_1751,c_0_795]) ).
cnf(c_0_1861,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_4,e_5,e_2)
| 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_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_1752,c_0_246]) ).
cnf(c_0_1862,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_1753]),c_0_269]),c_0_245]) ).
cnf(c_0_1863,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(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_1754,c_0_182]) ).
cnf(c_0_1864,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| 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_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_869,c_0_1353]) ).
cnf(c_0_1865,negated_conjecture,
( product(e_4,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_1755,c_0_88]) ).
cnf(c_0_1866,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_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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1756,c_0_275]),c_0_1757]),c_0_1758]) ).
cnf(c_0_1867,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_3)
| product(e_3,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1756,c_0_1032]),c_0_1759]) ).
cnf(c_0_1868,negated_conjecture,
( product(e_2,e_1,e_2)
| 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_1,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_1760,c_0_88]) ).
cnf(c_0_1869,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_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_1607]),c_0_157]),c_0_137]),
[final] ).
cnf(c_0_1870,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_167]),
[final] ).
cnf(c_0_1871,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_167]) ).
cnf(c_0_1872,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_166]),
[final] ).
cnf(c_0_1873,negated_conjecture,
( product(e_5,e_5,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)
| product(e_3,e_5,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_1399]),c_0_230]) ).
cnf(c_0_1874,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_5,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_1761,c_0_1762]) ).
cnf(c_0_1875,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_1,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)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_1763,c_0_1764]) ).
cnf(c_0_1876,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_4,e_4,e_5)
| 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) ),
inference(spm,[status(thm)],[c_0_1765,c_0_1032]) ).
cnf(c_0_1877,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_5,e_3)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_101]),
[final] ).
cnf(c_0_1878,negated_conjecture,
( product(e_3,e_4,e_1)
| product(e_4,e_4,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_1766,c_0_234]) ).
cnf(c_0_1879,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_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_1767,c_0_1032]) ).
cnf(c_0_1880,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_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_1768,c_0_227]) ).
cnf(c_0_1881,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_1769,c_0_791]) ).
cnf(c_0_1882,negated_conjecture,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_1)
| 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_1770,c_0_1771]) ).
cnf(c_0_1883,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_160]),
[final] ).
cnf(c_0_1884,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_1071]),c_0_137]),
[final] ).
cnf(c_0_1885,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_3)
| product(e_1,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1772,c_0_205]),c_0_1773]) ).
cnf(c_0_1886,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_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_1774,c_0_182]),c_0_333]) ).
cnf(c_0_1887,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_1888,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_1889,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_1890,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_1891,negated_conjecture,
( product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1775]),
[final] ).
cnf(c_0_1892,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(spm,[status(thm)],[c_0_170,c_0_1775]),
[final] ).
cnf(c_0_1893,negated_conjecture,
( product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1776]),
[final] ).
cnf(c_0_1894,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_458,c_0_1717]),
[final] ).
cnf(c_0_1895,negated_conjecture,
( product(e_4,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1777]),
[final] ).
cnf(c_0_1896,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_201,c_0_1778]),
[final] ).
cnf(c_0_1897,plain,
( ~ product(e_5,e_1,e_2)
| ~ product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_217,c_0_160]) ).
cnf(c_0_1898,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1779,c_0_1711]),
[final] ).
cnf(c_0_1899,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1780,c_0_1708]),
[final] ).
cnf(c_0_1900,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1781,c_0_1713]),
[final] ).
cnf(c_0_1901,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1782,c_0_1714]),
[final] ).
cnf(c_0_1902,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1783,c_0_1706]),
[final] ).
cnf(c_0_1903,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1784,c_0_1708]),
[final] ).
cnf(c_0_1904,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1785,c_0_1713]),
[final] ).
cnf(c_0_1905,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1786,c_0_1713]),
[final] ).
cnf(c_0_1906,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1787,c_0_1714]),
[final] ).
cnf(c_0_1907,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1788,c_0_1707]),
[final] ).
cnf(c_0_1908,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_218,c_0_1705]),
[final] ).
cnf(c_0_1909,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_157,c_0_1705]),
[final] ).
cnf(c_0_1910,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_1706]),
[final] ).
cnf(c_0_1911,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_1706]),
[final] ).
cnf(c_0_1912,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_1706]),
[final] ).
cnf(c_0_1913,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_1706]),
[final] ).
cnf(c_0_1914,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_1707]),
[final] ).
cnf(c_0_1915,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_1707]),
[final] ).
cnf(c_0_1916,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_1707]),
[final] ).
cnf(c_0_1917,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_1711]),
[final] ).
cnf(c_0_1918,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_1711]),
[final] ).
cnf(c_0_1919,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_201,c_0_1663]),
[final] ).
cnf(c_0_1920,negated_conjecture,
( ~ product(e_5,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_217,c_0_1663]),
[final] ).
cnf(c_0_1921,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_1663]),
[final] ).
cnf(c_0_1922,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_1663]),
[final] ).
cnf(c_0_1923,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_139,c_0_1712]),
[final] ).
cnf(c_0_1924,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_1713]),
[final] ).
cnf(c_0_1925,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_1713]),
[final] ).
cnf(c_0_1926,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_1713]),
[final] ).
cnf(c_0_1927,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1713]),
[final] ).
cnf(c_0_1928,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_1714]),
[final] ).
cnf(c_0_1929,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_1714]),
[final] ).
cnf(c_0_1930,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_137,c_0_1714]),
[final] ).
cnf(c_0_1931,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_201,c_0_1708]),
[final] ).
cnf(c_0_1932,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_217,c_0_1708]),
[final] ).
cnf(c_0_1933,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_1708]),
[final] ).
cnf(c_0_1934,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_1708]),
[final] ).
cnf(c_0_1935,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1789,c_0_1656])]),
[final] ).
cnf(c_0_1936,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1790,c_0_1656])]),
[final] ).
cnf(c_0_1937,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1791,c_0_1656])]),
[final] ).
cnf(c_0_1938,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1792,c_0_1776]),
[final] ).
cnf(c_0_1939,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1793,c_0_1617]),
[final] ).
cnf(c_0_1940,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1794,c_0_1660]),
[final] ).
cnf(c_0_1941,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1795,c_0_1534]),
[final] ).
cnf(c_0_1942,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1796,c_0_1659]),
[final] ).
cnf(c_0_1943,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1797,c_0_1616]),
[final] ).
cnf(c_0_1944,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1798,c_0_1656]),
[final] ).
cnf(c_0_1945,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1799,c_0_1800]),
[final] ).
cnf(c_0_1946,negated_conjecture,
( product(e_5,e_5,X1)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1801]),
[final] ).
cnf(c_0_1947,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1802,c_0_1654]),
[final] ).
cnf(c_0_1948,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_4,X2,e_5)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1718,c_0_1656])]),
[final] ).
cnf(c_0_1949,negated_conjecture,
( product(e_5,e_5,e_4)
| ~ product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_137,c_0_1715]),
[final] ).
cnf(c_0_1950,negated_conjecture,
( product(e_5,e_1,e_5)
| ~ product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_1803,c_0_1663]),
[final] ).
cnf(c_0_1951,negated_conjecture,
( product(e_1,e_1,e_2)
| ~ product(e_5,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1804,c_0_1663]),c_0_66]),
[final] ).
cnf(c_0_1952,negated_conjecture,
( product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1664]),
[final] ).
cnf(c_0_1953,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1805,c_0_1717]),c_0_1579]),
[final] ).
cnf(c_0_1954,negated_conjecture,
( product(e_3,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1806]),
[final] ).
cnf(c_0_1955,negated_conjecture,
( product(e_2,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1807]),
[final] ).
cnf(c_0_1956,negated_conjecture,
( product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1778]),
[final] ).
cnf(c_0_1957,negated_conjecture,
( product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1808]),
[final] ).
cnf(c_0_1958,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1809]),
[final] ).
cnf(c_0_1959,negated_conjecture,
( product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1616]),
[final] ).
cnf(c_0_1960,negated_conjecture,
( product(e_1,e_4,e_3)
| ~ product(e_4,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1810,c_0_1656])]),
[final] ).
cnf(c_0_1961,negated_conjecture,
( product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1800]),
[final] ).
cnf(c_0_1962,negated_conjecture,
( product(e_4,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1534]),
[final] ).
cnf(c_0_1963,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_2)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1413,c_0_1811]),c_0_1377]),c_0_157]),
[final] ).
cnf(c_0_1964,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_1811]),
[final] ).
cnf(c_0_1965,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_129,c_0_1811]),
[final] ).
cnf(c_0_1966,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_1811]),
[final] ).
cnf(c_0_1967,negated_conjecture,
( ~ product(e_5,e_5,e_2)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_301,c_0_1811]),
[final] ).
cnf(c_0_1968,negated_conjecture,
( product(e_3,e_5,X1)
| ~ product(e_4,e_5,e_4)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1811]),
[final] ).
cnf(c_0_1969,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_1812]),
[final] ).
cnf(c_0_1970,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_1812]),
[final] ).
cnf(c_0_1971,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1812]),
[final] ).
cnf(c_0_1972,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_1812]),
[final] ).
cnf(c_0_1973,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_1573]),
[final] ).
cnf(c_0_1974,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_261,c_0_1573]),
[final] ).
cnf(c_0_1975,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_1618]),
[final] ).
cnf(c_0_1976,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_1618]),
[final] ).
cnf(c_0_1977,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_1618]),
[final] ).
cnf(c_0_1978,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_1533]),
[final] ).
cnf(c_0_1979,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_84,c_0_1533]),
[final] ).
cnf(c_0_1980,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_458,c_0_1533]),
[final] ).
cnf(c_0_1981,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_500,c_0_1533]),
[final] ).
cnf(c_0_1982,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_248,c_0_1497]),
[final] ).
cnf(c_0_1983,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_201,c_0_1651]),
[final] ).
cnf(c_0_1984,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1813]),c_0_1814]),
[final] ).
cnf(c_0_1985,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_1502]),
[final] ).
cnf(c_0_1986,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_1502]),
[final] ).
cnf(c_0_1987,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_500,c_0_1502]),
[final] ).
cnf(c_0_1988,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_201,c_0_1529]),
[final] ).
cnf(c_0_1989,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_295,c_0_1529]),
[final] ).
cnf(c_0_1990,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_302,c_0_1529]),
[final] ).
cnf(c_0_1991,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_1535]),
[final] ).
cnf(c_0_1992,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_157,c_0_1535]),
[final] ).
cnf(c_0_1993,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_136,c_0_1535]),
[final] ).
cnf(c_0_1994,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_129,c_0_1535]),
[final] ).
cnf(c_0_1995,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_1535]),
[final] ).
cnf(c_0_1996,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_261,c_0_1535]),
[final] ).
cnf(c_0_1997,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_76,c_0_1535]),
[final] ).
cnf(c_0_1998,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_1535]),
[final] ).
cnf(c_0_1999,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_104,c_0_1501]),
[final] ).
cnf(c_0_2000,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1501]),
[final] ).
cnf(c_0_2001,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_1468]),
[final] ).
cnf(c_0_2002,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_170,c_0_1468]),
[final] ).
cnf(c_0_2003,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_159,c_0_1468]),
[final] ).
cnf(c_0_2004,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_261,c_0_1468]),
[final] ).
cnf(c_0_2005,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_301,c_0_1416]),
[final] ).
cnf(c_0_2006,negated_conjecture,
( product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_1815]),c_0_139]),
[final] ).
cnf(c_0_2007,plain,
( product(e_1,e_3,e_3)
| product(e_5,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1816]),c_0_157]),c_0_248]),
[final] ).
cnf(c_0_2008,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1817]),c_0_139]),
[final] ).
cnf(c_0_2009,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_3,e_4)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1447]),c_0_301]),
[final] ).
cnf(c_0_2010,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_5,e_3,e_3)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1818]),c_0_157]),
[final] ).
cnf(c_0_2011,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1410]),c_0_500]),c_0_301]),
[final] ).
cnf(c_0_2012,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_4)
| ~ product(e_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_1661]),
[final] ).
cnf(c_0_2013,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1385]),c_0_157]),
[final] ).
cnf(c_0_2014,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1819]),c_0_76]),
[final] ).
cnf(c_0_2015,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1820]),c_0_69]),
[final] ).
cnf(c_0_2016,negated_conjecture,
( product(e_3,e_3,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1584]),c_0_71]),
[final] ).
cnf(c_0_2017,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1821]),c_0_142]),
[final] ).
cnf(c_0_2018,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1822]),c_0_157]),
[final] ).
cnf(c_0_2019,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_1823]),c_0_238]),
[final] ).
cnf(c_0_2020,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1702,c_0_1823]),c_0_173]),
[final] ).
cnf(c_0_2021,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1824]),c_0_71]),
[final] ).
cnf(c_0_2022,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1825]),
[final] ).
cnf(c_0_2023,negated_conjecture,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1825]),c_0_139]),
[final] ).
cnf(c_0_2024,negated_conjecture,
( product(e_3,e_1,X1)
| ~ product(e_3,e_3,e_4)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1826]),
[final] ).
cnf(c_0_2025,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1575]),c_0_218]),
[final] ).
cnf(c_0_2026,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1727]),
[final] ).
cnf(c_0_2027,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_104,c_0_1826]),
[final] ).
cnf(c_0_2028,negated_conjecture,
( ~ product(e_3,e_5,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1826]),
[final] ).
cnf(c_0_2029,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_84,c_0_1826]),
[final] ).
cnf(c_0_2030,negated_conjecture,
( product(e_3,e_2,e_4)
| ~ product(e_5,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1827]),c_0_69]),
[final] ).
cnf(c_0_2031,negated_conjecture,
( product(e_2,e_5,e_5)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1254]),c_0_139]),
[final] ).
cnf(c_0_2032,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_3,e_5,e_3)
| ~ product(e_4,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1223]),c_0_157]),
[final] ).
cnf(c_0_2033,negated_conjecture,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| product(e_2,e_5,e_5)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1828]),c_0_129]),
[final] ).
cnf(c_0_2034,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_5,e_3,e_3)
| ~ product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1109]),c_0_129]),
[final] ).
cnf(c_0_2035,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_4,e_5,e_2)
| ~ product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1075]),c_0_71]),
[final] ).
cnf(c_0_2036,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_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1829]),c_0_301]),
[final] ).
cnf(c_0_2037,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1829]),c_0_107]),c_0_301]),
[final] ).
cnf(c_0_2038,negated_conjecture,
( product(e_4,e_5,e_2)
| 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_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_1829]),
[final] ).
cnf(c_0_2039,negated_conjecture,
( product(e_4,e_5,e_2)
| 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_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_1829]),
[final] ).
cnf(c_0_2040,negated_conjecture,
( product(e_4,e_5,e_2)
| 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_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_129,c_0_1829]),
[final] ).
cnf(c_0_2041,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1829]),c_0_217]),
[final] ).
cnf(c_0_2042,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| ~ product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1830]),c_0_69]),
[final] ).
cnf(c_0_2043,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,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_3,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1830]),c_0_69]),
[final] ).
cnf(c_0_2044,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1831]),c_0_301]),
[final] ).
cnf(c_0_2045,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1831]),c_0_301]),
[final] ).
cnf(c_0_2046,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1831]),c_0_107]),
[final] ).
cnf(c_0_2047,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1831]),c_0_124]),
[final] ).
cnf(c_0_2048,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_1831]),c_0_121]),
[final] ).
cnf(c_0_2049,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1832]),c_0_301]),
[final] ).
cnf(c_0_2050,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1832]),c_0_301]),
[final] ).
cnf(c_0_2051,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1832]),c_0_107]),
[final] ).
cnf(c_0_2052,negated_conjecture,
( product(e_4,e_5,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_1832]),c_0_83]),
[final] ).
cnf(c_0_2053,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1833]),c_0_301]),
[final] ).
cnf(c_0_2054,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1833]),c_0_107]),
[final] ).
cnf(c_0_2055,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1833]),c_0_124]),
[final] ).
cnf(c_0_2056,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_5,e_5,e_2)
| product(e_2,e_1,e_2)
| ~ product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_1833]),c_0_121]),
[final] ).
cnf(c_0_2057,negated_conjecture,
( product(e_2,e_3,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1378]),c_0_139]),c_0_302]),
[final] ).
cnf(c_0_2058,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1296]),c_0_139]),c_0_459]),
[final] ).
cnf(c_0_2059,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,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_4,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_248,c_0_1834]),
[final] ).
cnf(c_0_2060,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,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_3,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_1834]),
[final] ).
cnf(c_0_2061,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1835]),c_0_121]),
[final] ).
cnf(c_0_2062,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_1835]),c_0_83]),
[final] ).
cnf(c_0_2063,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| 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_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1836]),c_0_121]),
[final] ).
cnf(c_0_2064,negated_conjecture,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1837,c_0_1301]),c_0_157]),
[final] ).
cnf(c_0_2065,negated_conjecture,
( product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1301]),
[final] ).
cnf(c_0_2066,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| ~ product(e_4,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1838]),c_0_218]),
[final] ).
cnf(c_0_2067,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_5,e_3,e_2)
| ~ product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1839]),c_0_301]),
[final] ).
cnf(c_0_2068,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_4,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1840]),c_0_218]),
[final] ).
cnf(c_0_2069,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_906]),
[final] ).
cnf(c_0_2070,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_906]),
[final] ).
cnf(c_0_2071,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_84,c_0_906]),
[final] ).
cnf(c_0_2072,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_906]),
[final] ).
cnf(c_0_2073,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1841]),c_0_123]),
[final] ).
cnf(c_0_2074,negated_conjecture,
( product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_716,c_0_1842]),c_0_302]),
[final] ).
cnf(c_0_2075,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_2,e_2,e_4)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1842]),
[final] ).
cnf(c_0_2076,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_89]),c_0_82]),
[final] ).
cnf(c_0_2077,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_2078,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_160]),c_0_82]),
[final] ).
cnf(c_0_2079,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1843,c_0_166]),c_0_82]),
[final] ).
cnf(c_0_2080,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_302,c_0_1842]),
[final] ).
cnf(c_0_2081,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_170,c_0_760]),
[final] ).
cnf(c_0_2082,negated_conjecture,
( ~ product(e_2,e_2,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1844,c_0_765]),c_0_302]),
[final] ).
cnf(c_0_2083,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_713]),
[final] ).
cnf(c_0_2084,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_713]),
[final] ).
cnf(c_0_2085,negated_conjecture,
( product(e_2,e_4,X1)
| ~ product(e_2,e_5,e_3)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_709]),
[final] ).
cnf(c_0_2086,negated_conjecture,
( ~ product(e_3,e_3,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_709]),
[final] ).
cnf(c_0_2087,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_702]),
[final] ).
cnf(c_0_2088,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_702]),
[final] ).
cnf(c_0_2089,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_702]),
[final] ).
cnf(c_0_2090,negated_conjecture,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_170,c_0_707]),
[final] ).
cnf(c_0_2091,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_80,c_0_707]),
[final] ).
cnf(c_0_2092,negated_conjecture,
( product(e_3,e_3,X1)
| ~ product(e_2,e_2,e_5)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_704]),
[final] ).
cnf(c_0_2093,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1845,c_0_1682]),
[final] ).
cnf(c_0_2094,negated_conjecture,
( ~ product(e_3,e_4,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_1740]),
[final] ).
cnf(c_0_2095,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1740]),
[final] ).
cnf(c_0_2096,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_102,c_0_1740]),
[final] ).
cnf(c_0_2097,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_295,c_0_1740]),
[final] ).
cnf(c_0_2098,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1846,c_0_89]),c_0_82]),
[final] ).
cnf(c_0_2099,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1846,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_2100,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1846,c_0_160]),c_0_82]),
[final] ).
cnf(c_0_2101,negated_conjecture,
( ~ product(e_2,e_2,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1846,c_0_166]),c_0_82]),
[final] ).
cnf(c_0_2102,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_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_248,c_0_1252]),
[final] ).
cnf(c_0_2103,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_5,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_261,c_0_1252]),
[final] ).
cnf(c_0_2104,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1847]),c_0_84]),c_0_137]),
[final] ).
cnf(c_0_2105,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_646]),c_0_110]),c_0_107]),
[final] ).
cnf(c_0_2106,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1848]),c_0_157]),
[final] ).
cnf(c_0_2107,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1848]),c_0_137]),
[final] ).
cnf(c_0_2108,negated_conjecture,
( product(e_2,e_3,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1848]),c_0_139]),
[final] ).
cnf(c_0_2109,negated_conjecture,
( 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_315,c_0_1849]),c_0_71]),
[final] ).
cnf(c_0_2110,negated_conjecture,
( product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_933,c_0_653]),c_0_104]),
[final] ).
cnf(c_0_2111,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_1849]),
[final] ).
cnf(c_0_2112,negated_conjecture,
( ~ product(e_5,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_1849]),
[final] ).
cnf(c_0_2113,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_1849]),
[final] ).
cnf(c_0_2114,negated_conjecture,
( ~ product(e_5,e_3,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_653]),
[final] ).
cnf(c_0_2115,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_121,c_0_653]),
[final] ).
cnf(c_0_2116,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_301,c_0_653]),
[final] ).
cnf(c_0_2117,negated_conjecture,
( product(e_2,e_2,X1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1849]),
[final] ).
cnf(c_0_2118,negated_conjecture,
( product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_653]),
[final] ).
cnf(c_0_2119,negated_conjecture,
( product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_644]),c_0_142]),c_0_124]),c_0_126]),
[final] ).
cnf(c_0_2120,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| ~ product(e_2,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_907]),c_0_107]),
[final] ).
cnf(c_0_2121,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_4)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_939]),c_0_218]),
[final] ).
cnf(c_0_2122,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_5,e_2,e_3)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1850]),c_0_301]),
[final] ).
cnf(c_0_2123,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| ~ product(e_2,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_762]),c_0_459]),c_0_458]),
[final] ).
cnf(c_0_2124,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_4,e_1,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_1017]),
[final] ).
cnf(c_0_2125,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_478]),c_0_1851]),c_0_137]),
[final] ).
cnf(c_0_2126,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_92,c_0_476]),c_0_107]),
[final] ).
cnf(c_0_2127,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_102,c_0_476]),c_0_121]),
[final] ).
cnf(c_0_2128,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_5,e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1852,c_0_453]),c_0_157]),
[final] ).
cnf(c_0_2129,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_485]),c_0_139]),c_0_69]),
[final] ).
cnf(c_0_2130,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_315,c_0_453]),
[final] ).
cnf(c_0_2131,negated_conjecture,
( product(e_2,e_2,X1)
| ~ product(e_2,e_2,e_3)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_453]),
[final] ).
cnf(c_0_2132,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1853]),c_0_104]),
[final] ).
cnf(c_0_2133,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_5,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1158]),c_0_92]),
[final] ).
cnf(c_0_2134,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1854]),c_0_136]),
[final] ).
cnf(c_0_2135,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_1854]),c_0_124]),
[final] ).
cnf(c_0_2136,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| ~ product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1149]),c_0_92]),
[final] ).
cnf(c_0_2137,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_445]),c_0_124]),
[final] ).
cnf(c_0_2138,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_445]),c_0_121]),
[final] ).
cnf(c_0_2139,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_3)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_923]),c_0_170]),c_0_137]),
[final] ).
cnf(c_0_2140,negated_conjecture,
( product(e_2,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_76,c_0_1855]),c_0_301]),c_0_302]),
[final] ).
cnf(c_0_2141,negated_conjecture,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1856]),c_0_459]),c_0_107]),
[final] ).
cnf(c_0_2142,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1857]),c_0_80]),c_0_159]),c_0_76]),
[final] ).
cnf(c_0_2143,negated_conjecture,
( product(e_2,e_2,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| ~ product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_642]),c_0_69]),c_0_157]),
[final] ).
cnf(c_0_2144,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| 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_217,c_0_1858]),c_0_170]),c_0_137]),
[final] ).
cnf(c_0_2145,negated_conjecture,
( product(e_2,e_2,e_4)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_483]),c_0_301]),c_0_302]),
[final] ).
cnf(c_0_2146,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| ~ 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_137,c_0_631]),c_0_80]),c_0_159]),c_0_76]),
[final] ).
cnf(c_0_2147,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| 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_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_1859]),c_0_139]),
[final] ).
cnf(c_0_2148,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| 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_2,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_1859]),
[final] ).
cnf(c_0_2149,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4)
| 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_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1859]),c_0_69]),
[final] ).
cnf(c_0_2150,negated_conjecture,
( 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_4,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1860]),c_0_218]),c_0_157]),
[final] ).
cnf(c_0_2151,negated_conjecture,
( 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_3,e_3,e_4)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1674]),c_0_302]),
[final] ).
cnf(c_0_2152,negated_conjecture,
( product(e_1,e_3,e_2)
| 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_5,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1588]),c_0_295]),
[final] ).
cnf(c_0_2153,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_5,e_2,e_5)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1861]),c_0_137]),c_0_157]),c_0_139]),
[final] ).
cnf(c_0_2154,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_5)
| ~ product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_1862]),c_0_301]),c_0_302]),
[final] ).
cnf(c_0_2155,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_1749]),c_0_142]),c_0_124]),
[final] ).
cnf(c_0_2156,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1749]),c_0_129]),c_0_107]),
[final] ).
cnf(c_0_2157,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| 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_3,e_5) ),
inference(spm,[status(thm)],[c_0_201,c_0_1863]),
[final] ).
cnf(c_0_2158,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_1863]),
[final] ).
cnf(c_0_2159,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1863]),
[final] ).
cnf(c_0_2160,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_1863]),
[final] ).
cnf(c_0_2161,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_4,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1864]),c_0_92]),c_0_248]),
[final] ).
cnf(c_0_2162,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1864]),c_0_137]),
[final] ).
cnf(c_0_2163,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_1,e_5,e_2)
| ~ product(e_3,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1864]),c_0_170]),
[final] ).
cnf(c_0_2164,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_2)
| 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_76,c_0_1865]),c_0_157]),c_0_218]),
[final] ).
cnf(c_0_2165,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_4,e_4,e_2)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1866]),c_0_104]),c_0_69]),c_0_218]),
[final] ).
cnf(c_0_2166,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_3)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1867]),c_0_104]),
[final] ).
cnf(c_0_2167,negated_conjecture,
( product(e_4,e_1,e_4)
| 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_1,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_1868]),c_0_287]),c_0_238]),
[final] ).
cnf(c_0_2168,negated_conjecture,
( product(e_4,e_1,e_4)
| 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_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1868]),c_0_218]),c_0_139]),
[final] ).
cnf(c_0_2169,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_1868]),c_0_248]),
[final] ).
cnf(c_0_2170,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1869,c_0_116]),
[final] ).
cnf(c_0_2171,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1869,c_0_101]),c_0_157]),
[final] ).
cnf(c_0_2172,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1869,c_0_147]),
[final] ).
cnf(c_0_2173,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1869,c_0_113]),
[final] ).
cnf(c_0_2174,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_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1607]),c_0_1870]),c_0_1871]),
[final] ).
cnf(c_0_2175,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_1,e_4)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_1607]),c_0_1872]),c_0_1694]),
[final] ).
cnf(c_0_2176,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| 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_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_1509]),c_0_137]),
[final] ).
cnf(c_0_2177,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1509]),c_0_142]),c_0_170]),
[final] ).
cnf(c_0_2178,negated_conjecture,
( 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_5)
| product(e_3,e_3,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_1360]),c_0_69]),c_0_102]),
[final] ).
cnf(c_0_2179,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1873]),c_0_69]),c_0_136]),
[final] ).
cnf(c_0_2180,negated_conjecture,
( product(e_5,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_3,e_5,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_1399]),c_0_62]),c_0_137]),
[final] ).
cnf(c_0_2181,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1386]),c_0_295]),c_0_136]),
[final] ).
cnf(c_0_2182,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_5,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1386]),c_0_217]),
[final] ).
cnf(c_0_2183,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_5,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_4,e_1,e_2)
| ~ product(e_5,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1874]),c_0_136]),
[final] ).
cnf(c_0_2184,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_1)
| product(e_1,e_2,e_2)
| ~ product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1875]),c_0_102]),
[final] ).
cnf(c_0_2185,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_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_320]),c_0_84]),
[final] ).
cnf(c_0_2186,negated_conjecture,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| ~ product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_254]),c_0_71]),
[final] ).
cnf(c_0_2187,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_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_1876]),c_0_136]),
[final] ).
cnf(c_0_2188,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_1,e_2,e_2)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_1684]),c_0_104]),
[final] ).
cnf(c_0_2189,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_176,c_0_1699]),
[final] ).
cnf(c_0_2190,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_1702,c_0_1699]),
[final] ).
cnf(c_0_2191,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_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_1699]),c_0_63]),c_0_69]),
[final] ).
cnf(c_0_2192,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1877,c_0_1699]),c_0_63]),c_0_157]),
[final] ).
cnf(c_0_2193,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_3,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_1699]),c_0_63]),
[final] ).
cnf(c_0_2194,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_1699]),c_0_63]),
[final] ).
cnf(c_0_2195,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_3,e_4,e_5)
| ~ product(e_4,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_1699]),c_0_136]),c_0_459]),
[final] ).
cnf(c_0_2196,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_1699]),
[final] ).
cnf(c_0_2197,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_4,e_4,e_5)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1699]),c_0_459]),
[final] ).
cnf(c_0_2198,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_142,c_0_1699]),
[final] ).
cnf(c_0_2199,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_4,e_4,e_5)
| product(e_3,e_4,e_5)
| ~ product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_1699]),
[final] ).
cnf(c_0_2200,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_4,e_1)
| ~ product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1878]),c_0_76]),
[final] ).
cnf(c_0_2201,negated_conjecture,
( product(e_5,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_4,e_1)
| ~ product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_655]),
[final] ).
cnf(c_0_2202,negated_conjecture,
( product(e_5,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_4,e_1)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_137,c_0_655]),
[final] ).
cnf(c_0_2203,negated_conjecture,
( product(e_5,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_4,e_1)
| ~ product(e_5,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_142,c_0_655]),
[final] ).
cnf(c_0_2204,negated_conjecture,
( product(e_5,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_4,e_1)
| ~ product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_655]),
[final] ).
cnf(c_0_2205,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,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_459,c_0_999]),c_0_302]),c_0_301]),
[final] ).
cnf(c_0_2206,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_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_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_217,c_0_1458]),
[final] ).
cnf(c_0_2207,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_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_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_1458]),
[final] ).
cnf(c_0_2208,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_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| ~ product(e_3,e_3,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1458]),c_0_142]),
[final] ).
cnf(c_0_2209,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_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_2,e_5) ),
inference(spm,[status(thm)],[c_0_121,c_0_1458]),
[final] ).
cnf(c_0_2210,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,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_3,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1879]),c_0_218]),
[final] ).
cnf(c_0_2211,plain,
( product(e_5,e_5,e_3)
| product(e_5,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)
| ~ product(e_5,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1879]),c_0_69]),
[final] ).
cnf(c_0_2212,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_4,e_2)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ product(e_3,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1880]),c_0_69]),
[final] ).
cnf(c_0_2213,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_5)
| ~ product(e_4,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_1881]),c_0_69]),
[final] ).
cnf(c_0_2214,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_3,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_1882]),c_0_104]),
[final] ).
cnf(c_0_2215,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| ~ product(e_4,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_201,c_0_237]),
[final] ).
cnf(c_0_2216,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| ~ product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_217,c_0_237]),
[final] ).
cnf(c_0_2217,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| ~ product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_237]),c_0_104]),
[final] ).
cnf(c_0_2218,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_3,e_1,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| ~ product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_237]),
[final] ).
cnf(c_0_2219,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_4,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_201,c_0_211]),
[final] ).
cnf(c_0_2220,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_5,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_217,c_0_211]),
[final] ).
cnf(c_0_2221,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_1)
| ~ product(e_3,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_211]),
[final] ).
cnf(c_0_2222,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_443]),c_0_1877]),c_0_92]),
[final] ).
cnf(c_0_2223,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1883,c_0_1071]),c_0_248]),
[final] ).
cnf(c_0_2224,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_1884,c_0_116]),
[final] ).
cnf(c_0_2225,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_4)
| ~ product(e_2,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1884,c_0_101]),c_0_137]),
[final] ).
cnf(c_0_2226,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_1884,c_0_147]),
[final] ).
cnf(c_0_2227,negated_conjecture,
( product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_1884,c_0_113]),
[final] ).
cnf(c_0_2228,negated_conjecture,
( 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_1,e_3)
| product(e_5,e_1,e_4)
| ~ product(e_1,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_1071]),c_0_1871]),
[final] ).
cnf(c_0_2229,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_1885]),c_0_107]),c_0_136]),
[final] ).
cnf(c_0_2230,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| ~ product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_1701]),c_0_301]),c_0_136]),
[final] ).
cnf(c_0_2231,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| ~ product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_1886]),c_0_121]),
[final] ).
cnf(c_0_2232,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_2,e_1,e_2)
| ~ product(e_5,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_138]),c_0_170]),
[final] ).
cnf(c_0_2233,negated_conjecture,
( product(e_3,e_1,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_2,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_189]),
[final] ).
cnf(c_0_2234,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_104,c_0_234]),
[final] ).
cnf(c_0_2235,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| ~ product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_102,c_0_234]),
[final] ).
cnf(c_0_2236,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_4,e_1) ),
inference(spm,[status(thm)],[c_0_136,c_0_1032]),
[final] ).
cnf(c_0_2237,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_129,c_0_1032]),
[final] ).
cnf(c_0_2238,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_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_1032]),
[final] ).
cnf(c_0_2239,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_3,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_142,c_0_795]),
[final] ).
cnf(c_0_2240,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_89]),c_0_82]),
[final] ).
cnf(c_0_2241,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_2242,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_160]),c_0_82]),
[final] ).
cnf(c_0_2243,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1547,c_0_166]),c_0_82]),
[final] ).
cnf(c_0_2244,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1877,c_0_89]),c_0_82]),
[final] ).
cnf(c_0_2245,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1877,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_2246,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1877,c_0_160]),c_0_82]),
[final] ).
cnf(c_0_2247,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1877,c_0_166]),c_0_82]),
[final] ).
cnf(c_0_2248,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_2249,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_160]),c_0_82]),
[final] ).
cnf(c_0_2250,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_90]),c_0_82]),
[final] ).
cnf(c_0_2251,negated_conjecture,
( ~ product(e_2,e_2,e_3)
| ~ product(e_1,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_166]),c_0_82]),
[final] ).
cnf(c_0_2252,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_210]),c_0_82]),
[final] ).
cnf(c_0_2253,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_5,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_226]),c_0_82]),
[final] ).
cnf(c_0_2254,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_89]),c_0_82]),
[final] ).
cnf(c_0_2255,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_1,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_167]),c_0_82]),
[final] ).
cnf(c_0_2256,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_1,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_160]),c_0_82]),
[final] ).
cnf(c_0_2257,negated_conjecture,
( ~ product(e_2,e_3,e_3)
| ~ product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_516,c_0_90]),c_0_82]),
[final] ).
cnf(c_0_2258,plain,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_116]),
[final] ).
cnf(c_0_2259,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_116]),
[final] ).
cnf(c_0_2260,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_101]),
[final] ).
cnf(c_0_2261,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_102,c_0_101]),
[final] ).
cnf(c_0_2262,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_147]),
[final] ).
cnf(c_0_2263,plain,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_147]),
[final] ).
cnf(c_0_2264,plain,
( ~ product(e_2,e_4,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_104,c_0_113]),
[final] ).
cnf(c_0_2265,plain,
( ~ product(e_2,e_5,e_2)
| ~ product(e_2,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_113]),
[final] ).
cnf(c_0_2266,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_210]),
[final] ).
cnf(c_0_2267,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_210]),
[final] ).
cnf(c_0_2268,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_210]),
[final] ).
cnf(c_0_2269,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_210]),
[final] ).
cnf(c_0_2270,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_226]),
[final] ).
cnf(c_0_2271,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_226]),
[final] ).
cnf(c_0_2272,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_226]),
[final] ).
cnf(c_0_2273,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_226]),
[final] ).
cnf(c_0_2274,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_226]),
[final] ).
cnf(c_0_2275,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_75]),
[final] ).
cnf(c_0_2276,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_75]),
[final] ).
cnf(c_0_2277,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_75]),
[final] ).
cnf(c_0_2278,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_84,c_0_75]),
[final] ).
cnf(c_0_2279,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_75]),
[final] ).
cnf(c_0_2280,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_167]),
[final] ).
cnf(c_0_2281,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_167]),
[final] ).
cnf(c_0_2282,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_4,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_210]),
[final] ).
cnf(c_0_2283,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_5,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_226]),
[final] ).
cnf(c_0_2284,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_2,e_1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_75]),
[final] ).
cnf(c_0_2285,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,e_4,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_167]),
[final] ).
cnf(c_0_2286,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,e_5,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_160]),
[final] ).
cnf(c_0_2287,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,e_2,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_90]),
[final] ).
cnf(c_0_2288,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,e_3,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_166]),
[final] ).
cnf(c_0_2289,plain,
( ~ product(e_4,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_201,c_0_90]),
[final] ).
cnf(c_0_2290,plain,
( ~ product(e_1,e_5,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_92,c_0_90]),
[final] ).
cnf(c_0_2291,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_102,c_0_90]),
[final] ).
cnf(c_0_2292,plain,
( ~ product(e_3,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_83,c_0_166]),
[final] ).
cnf(c_0_2293,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_139,c_0_795]),
[final] ).
cnf(c_0_2294,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1887]),
[final] ).
cnf(c_0_2295,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1888]),
[final] ).
cnf(c_0_2296,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1889]),
[final] ).
cnf(c_0_2297,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1890]),
[final] ).
cnf(c_0_2298,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_136,c_0_1801]),
[final] ).
cnf(c_0_2299,negated_conjecture,
~ product(e_5,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_1663]),c_0_1664])]),
[final] ).
cnf(c_0_2300,negated_conjecture,
~ product(e_5,e_1,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1663]),c_0_1664])]),
[final] ).
cnf(c_0_2301,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_1713]),c_0_1657])]),
[final] ).
cnf(c_0_2302,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(spm,[status(thm)],[c_0_142,c_0_1654]),
[final] ).
cnf(c_0_2303,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1891,c_0_1705]),c_0_1892]),
[final] ).
cnf(c_0_2304,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1893,c_0_1706]),c_0_1894]),
[final] ).
cnf(c_0_2305,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(spm,[status(thm)],[c_0_261,c_0_1654]),
[final] ).
cnf(c_0_2306,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(spm,[status(thm)],[c_0_217,c_0_1664]),
[final] ).
cnf(c_0_2307,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(spm,[status(thm)],[c_0_83,c_0_1664]),
[final] ).
cnf(c_0_2308,negated_conjecture,
~ product(e_1,e_4,e_3),
inference(spm,[status(thm)],[c_0_136,c_0_1664]),
[final] ).
cnf(c_0_2309,negated_conjecture,
~ product(e_1,e_5,e_2),
inference(spm,[status(thm)],[c_0_301,c_0_1664]),
[final] ).
cnf(c_0_2310,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(spm,[status(thm)],[c_0_104,c_0_1717]),
[final] ).
cnf(c_0_2311,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(spm,[status(thm)],[c_0_84,c_0_1717]),
[final] ).
cnf(c_0_2312,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_1711]),c_0_1896]),
[final] ).
cnf(c_0_2313,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(spm,[status(thm)],[c_0_500,c_0_1717]),
[final] ).
cnf(c_0_2314,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_248,c_0_1775]),
[final] ).
cnf(c_0_2315,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_142,c_0_1775]),
[final] ).
cnf(c_0_2316,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_104,c_0_1776]),
[final] ).
cnf(c_0_2317,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_295,c_0_1776]),
[final] ).
cnf(c_0_2318,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_201,c_0_1655]),
[final] ).
cnf(c_0_2319,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_217,c_0_1655]),
[final] ).
cnf(c_0_2320,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(spm,[status(thm)],[c_0_83,c_0_1655]),
[final] ).
cnf(c_0_2321,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(spm,[status(thm)],[c_0_121,c_0_1655]),
[final] ).
cnf(c_0_2322,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(spm,[status(thm)],[c_0_500,c_0_1655]),
[final] ).
cnf(c_0_2323,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(spm,[status(thm)],[c_0_459,c_0_1655]),
[final] ).
cnf(c_0_2324,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(spm,[status(thm)],[c_0_136,c_0_1808]),
[final] ).
cnf(c_0_2325,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_129,c_0_1808]),
[final] ).
cnf(c_0_2326,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_201,c_0_1657]),
[final] ).
cnf(c_0_2327,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(spm,[status(thm)],[c_0_295,c_0_1657]),
[final] ).
cnf(c_0_2328,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_302,c_0_1657]),
[final] ).
cnf(c_0_2329,negated_conjecture,
~ product(e_3,e_5,e_1),
inference(spm,[status(thm)],[c_0_218,c_0_1617]),
[final] ).
cnf(c_0_2330,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(spm,[status(thm)],[c_0_157,c_0_1617]),
[final] ).
cnf(c_0_2331,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(spm,[status(thm)],[c_0_136,c_0_1617]),
[final] ).
cnf(c_0_2332,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(spm,[status(thm)],[c_0_129,c_0_1617]),
[final] ).
cnf(c_0_2333,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(spm,[status(thm)],[c_0_159,c_0_1617]),
[final] ).
cnf(c_0_2334,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_261,c_0_1617]),
[final] ).
cnf(c_0_2335,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(spm,[status(thm)],[c_0_76,c_0_1617]),
[final] ).
cnf(c_0_2336,negated_conjecture,
~ product(e_4,e_5,e_3),
inference(spm,[status(thm)],[c_0_80,c_0_1617]),
[final] ).
cnf(c_0_2337,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(spm,[status(thm)],[c_0_248,c_0_1809]),
[final] ).
cnf(c_0_2338,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(spm,[status(thm)],[c_0_104,c_0_1809]),
[final] ).
cnf(c_0_2339,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_92,c_0_1809]),
[final] ).
cnf(c_0_2340,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(spm,[status(thm)],[c_0_102,c_0_1809]),
[final] ).
cnf(c_0_2341,plain,
~ product(e_1,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1694,c_0_1809])]),
[final] ).
cnf(c_0_2342,plain,
~ product(e_1,e_5,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1897,c_0_1809])]),
[final] ).
cnf(c_0_2343,plain,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1871,c_0_1809])]),
[final] ).
cnf(c_0_2344,plain,
~ product(e_3,e_1,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_1809])]),
[final] ).
cnf(c_0_2345,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(spm,[status(thm)],[c_0_248,c_0_1659]),
[final] ).
cnf(c_0_2346,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(spm,[status(thm)],[c_0_170,c_0_1659]),
[final] ).
cnf(c_0_2347,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(spm,[status(thm)],[c_0_159,c_0_1659]),
[final] ).
cnf(c_0_2348,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_261,c_0_1659]),
[final] ).
cnf(c_0_2349,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_80,c_0_1659]),
[final] ).
cnf(c_0_2350,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_458,c_0_1660]),
[final] ).
cnf(c_0_2351,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_500,c_0_1660]),
[final] ).
cnf(c_0_2352,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1704]),c_0_157]),
[final] ).
cnf(c_0_2353,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_1385]),c_0_302]),c_0_139]),
[final] ).
cnf(c_0_2354,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_2355,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_2356,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_2357,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_2358,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_2359,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_2360,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_2361,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_2362,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_2363,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_2364,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP135-2.005 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 18:24:32 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 19.31/11.70 % Version : CSE_E---1.7
% 19.31/11.70 % Problem : theBenchmark.p
% 19.31/11.70 % SZS status Satisfiable for theBenchmark.p
% 19.31/11.70 % SZS output start Saturation
% See solution above
% 19.31/11.75 % Total time : 9.380s
%------------------------------------------------------------------------------