%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:41:59 PM UTC 2026
% Result : Unsatisfiable 50.70s 7.84s
% Output : CNFRefutation 50.70s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(e_1_is_not_e_6,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_6) ).
cnf(product_left_cancellation,axiom,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(product_total_function1,axiom,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_6)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(product_right_cancellation,axiom,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(product_idempotence,axiom,
product(X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(no_redundancy,axiom,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_redundancy) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_4_is_not_e_6,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_6) ).
cnf(element_6,axiom,
group_element(e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_6) ).
cnf(e_6_greater_e_5,axiom,
greater(e_6,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_5) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_then_e_5) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(e_3_is_not_e_6,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_6) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_6_greater_e_4,axiom,
greater(e_6,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_4) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_4) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(e_2_is_not_e_6,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_6) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_6_greater_e_3,axiom,
greater(e_6,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_6_greater_e_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_5_is_not_e_6,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_5_is_not_e_6) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_5) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(qg3,negated_conjecture,
( ~ product(X3,X1,X4)
| ~ product(X1,X2,X3)
| product(X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(product_total_function2,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_0_37,plain,
~ equalish(e_1,e_6),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_6]) ).
cnf(c_0_38,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).
cnf(c_0_39,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_6)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
inference(fof_simplification,[status(thm)],[product_total_function1]) ).
cnf(c_0_40,plain,
~ equalish(e_1,e_6),
c_0_37 ).
cnf(c_0_41,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_38 ).
cnf(c_0_42,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
inference(fof_simplification,[status(thm)],[product_right_cancellation]) ).
cnf(c_0_43,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_6)
| product(X1,X2,e_5)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_39 ).
cnf(c_0_44,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_45,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,axiom,
product(X1,X1,X1),
product_idempotence ).
cnf(c_0_47,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
inference(fof_simplification,[status(thm)],[no_redundancy]) ).
cnf(c_0_48,plain,
~ equalish(e_1,e_4),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_4]) ).
cnf(c_0_49,plain,
~ equalish(e_4,e_6),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_6]) ).
cnf(c_0_50,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_42 ).
cnf(c_0_51,plain,
( ~ group_element(X1)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| product(X1,e_1,e_5)
| product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,axiom,
group_element(e_6),
element_6 ).
cnf(c_0_53,plain,
~ product(e_6,e_1,e_1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_47 ).
cnf(c_0_55,axiom,
greater(e_6,e_5),
e_6_greater_e_5 ).
cnf(c_0_56,plain,
~ equalish(e_1,e_4),
c_0_48 ).
cnf(c_0_57,plain,
~ equalish(e_4,e_6),
c_0_49 ).
cnf(c_0_58,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
cnf(c_0_59,plain,
( product(e_6,e_1,e_6)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_60,plain,
( ~ next(X1,e_5)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,axiom,
next(e_4,e_5),
e_4_then_e_5 ).
cnf(c_0_62,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_41]) ).
cnf(c_0_63,plain,
~ equalish(e_1,e_3),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).
cnf(c_0_64,plain,
~ equalish(e_3,e_6),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_6]) ).
cnf(c_0_65,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_66,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_46])]) ).
cnf(c_0_67,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_68,plain,
~ product(e_4,e_1,e_6),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_62,c_0_46]) ).
cnf(c_0_70,plain,
~ equalish(e_3,e_4),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_4]) ).
cnf(c_0_71,axiom,
greater(e_6,e_4),
e_6_greater_e_4 ).
cnf(c_0_72,axiom,
greater(e_5,e_4),
e_5_greater_e_4 ).
cnf(c_0_73,plain,
~ equalish(e_1,e_3),
c_0_63 ).
cnf(c_0_74,plain,
~ equalish(e_3,e_6),
c_0_64 ).
cnf(c_0_75,plain,
( ~ product(e_4,e_1,e_5)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_76,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_77,plain,
~ equalish(e_3,e_4),
c_0_70 ).
cnf(c_0_78,plain,
( ~ next(X1,e_4)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_71]) ).
cnf(c_0_79,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_80,plain,
( ~ next(X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_54,c_0_72]) ).
cnf(c_0_81,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_41]) ).
cnf(c_0_82,plain,
~ equalish(e_2,e_1),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_1]) ).
cnf(c_0_83,plain,
~ equalish(e_2,e_6),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_6]) ).
cnf(c_0_84,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_41]) ).
cnf(c_0_85,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,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_75,c_0_76]) ).
cnf(c_0_86,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_41]) ).
cnf(c_0_87,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_88,plain,
~ product(e_3,e_1,e_6),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
cnf(c_0_90,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_81,c_0_46]) ).
cnf(c_0_91,plain,
~ equalish(e_2,e_4),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_4]) ).
cnf(c_0_92,plain,
~ equalish(e_2,e_3),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_3]) ).
cnf(c_0_93,axiom,
greater(e_6,e_3),
e_6_greater_e_3 ).
cnf(c_0_94,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_95,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_96,plain,
~ equalish(e_2,e_1),
c_0_82 ).
cnf(c_0_97,plain,
~ equalish(e_5,e_6),
inference(fof_simplification,[status(thm)],[e_5_is_not_e_6]) ).
cnf(c_0_98,plain,
~ equalish(e_1,e_5),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_5]) ).
cnf(c_0_99,plain,
~ equalish(e_2,e_6),
c_0_83 ).
cnf(c_0_100,plain,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_101,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_87]),c_0_88]),c_0_89]),c_0_90]) ).
cnf(c_0_102,plain,
~ equalish(e_2,e_4),
c_0_91 ).
cnf(c_0_103,plain,
~ equalish(e_2,e_3),
c_0_92 ).
cnf(c_0_104,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_54,c_0_93]) ).
cnf(c_0_105,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_106,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_54,c_0_94]) ).
cnf(c_0_107,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_54,c_0_95]) ).
cnf(c_0_108,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_41]) ).
cnf(c_0_109,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_110,plain,
~ equalish(e_5,e_6),
c_0_97 ).
cnf(c_0_111,plain,
~ equalish(e_1,e_5),
c_0_98 ).
cnf(c_0_112,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_41]) ).
cnf(c_0_113,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_114,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_41]) ).
cnf(c_0_115,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_41]) ).
cnf(c_0_116,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_117,plain,
~ product(e_2,e_1,e_6),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_118,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_106,c_0_105]) ).
cnf(c_0_119,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_107,c_0_105]) ).
cnf(c_0_120,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_108,c_0_46]) ).
cnf(c_0_121,plain,
~ equalish(e_4,e_5),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_5]) ).
cnf(c_0_122,plain,
~ equalish(e_3,e_5),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_5]) ).
cnf(c_0_123,plain,
~ equalish(e_2,e_5),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_5]) ).
cnf(c_0_124,plain,
( ~ group_element(X1)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| product(X1,e_5,e_5)
| product(X1,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_109]) ).
cnf(c_0_125,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_50]) ).
cnf(c_0_126,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_41]) ).
cnf(c_0_127,plain,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_128,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_116]),c_0_117]),c_0_118]),c_0_119]),c_0_120]) ).
cnf(c_0_129,plain,
~ equalish(e_4,e_5),
c_0_121 ).
cnf(c_0_130,plain,
~ equalish(e_3,e_5),
c_0_122 ).
cnf(c_0_131,plain,
~ equalish(e_2,e_5),
c_0_123 ).
cnf(c_0_132,negated_conjecture,
( ~ product(X3,X1,X4)
| ~ product(X1,X2,X3)
| product(X4,X1,X2) ),
inference(fof_simplification,[status(thm)],[qg3]) ).
cnf(c_0_133,plain,
( product(e_6,e_5,e_6)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_52]) ).
cnf(c_0_134,plain,
~ product(e_6,e_5,e_6),
inference(spm,[status(thm)],[c_0_125,c_0_46]) ).
cnf(c_0_135,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_126,c_0_46]) ).
cnf(c_0_136,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_41]) ).
cnf(c_0_137,plain,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_138,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_41]) ).
cnf(c_0_139,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_41]) ).
cnf(c_0_140,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_41]) ).
cnf(c_0_141,negated_conjecture,
( ~ product(X3,X1,X4)
| ~ product(X1,X2,X3)
| product(X4,X1,X2) ),
c_0_132 ).
cnf(c_0_142,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5) ),
inference(sr,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_143,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_109]),c_0_135]) ).
cnf(c_0_144,plain,
~ product(e_5,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139]),c_0_140]) ).
cnf(c_0_145,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_50]) ).
cnf(c_0_146,negated_conjecture,
( ~ product(e_5,X1,e_6)
| product(e_1,e_5,X1)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_147,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(sr,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_145,c_0_46]) ).
cnf(c_0_149,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]) ).
cnf(c_0_150,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_149]),c_0_46])]) ).
cnf(c_0_151,negated_conjecture,
( ~ product(e_5,X1,e_6)
| product(e_4,e_5,X1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_150]) ).
cnf(c_0_152,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_151,c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( ~ product(e_5,X1,e_6)
| product(e_3,e_5,X1)
| product(e_4,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_152]) ).
cnf(c_0_154,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_153,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
( ~ product(e_5,X1,e_6)
| product(e_2,e_5,X1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_155,c_0_147]) ).
cnf(c_0_157,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_156]),c_0_46])]) ).
cnf(c_0_158,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
inference(fof_simplification,[status(thm)],[product_total_function2]) ).
cnf(c_0_159,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_139,c_0_157]) ).
cnf(c_0_160,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_158 ).
cnf(c_0_161,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_101]) ).
cnf(c_0_162,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_50]) ).
cnf(c_0_163,plain,
( ~ group_element(X1)
| product(X1,e_6,e_1)
| product(X1,e_6,e_2)
| product(X1,e_6,e_3)
| product(X1,e_6,e_4)
| product(X1,e_6,e_5)
| product(X1,e_6,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
cnf(c_0_164,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_40,c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( ~ product(e_1,X1,e_6)
| product(e_2,e_1,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_137]) ).
cnf(c_0_166,plain,
( product(e_1,e_5,e_6)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_44]),c_0_148]) ).
cnf(c_0_167,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_161]),c_0_115]) ).
cnf(c_0_168,plain,
( ~ group_element(X1)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| product(X1,e_4,e_5)
| product(X1,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_67]) ).
cnf(c_0_169,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_162,c_0_46]) ).
cnf(c_0_170,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_50]) ).
cnf(c_0_171,negated_conjecture,
( ~ product(X1,X2,X1)
| product(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_141,c_0_46]) ).
cnf(c_0_172,plain,
( product(e_1,e_6,e_6)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_1) ),
inference(spm,[status(thm)],[c_0_163,c_0_44]) ).
cnf(c_0_173,plain,
~ product(e_1,e_1,e_6),
inference(spm,[status(thm)],[c_0_164,c_0_46]) ).
cnf(c_0_174,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_118]) ).
cnf(c_0_175,plain,
( ~ product(e_4,e_5,e_1)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_142]) ).
cnf(c_0_176,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_167,c_0_128]) ).
cnf(c_0_177,plain,
( ~ product(e_2,e_5,e_1)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_112,c_0_142]) ).
cnf(c_0_178,plain,
( ~ product(e_3,e_5,e_1)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_84,c_0_142]) ).
cnf(c_0_179,plain,
( product(e_1,e_4,e_6)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_44]),c_0_169]) ).
cnf(c_0_180,plain,
( ~ group_element(X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| product(X1,e_2,e_5)
| product(X1,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_116]) ).
cnf(c_0_181,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_170,c_0_46]) ).
cnf(c_0_182,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).
cnf(c_0_183,negated_conjecture,
( product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_174]),c_0_46])]) ).
cnf(c_0_184,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_178]) ).
cnf(c_0_185,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_50]) ).
cnf(c_0_186,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_179]),c_0_119]) ).
cnf(c_0_187,plain,
( product(e_1,e_2,e_6)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_44]),c_0_181]) ).
cnf(c_0_188,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_3,e_1,X1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_128]) ).
cnf(c_0_189,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_50]) ).
cnf(c_0_190,negated_conjecture,
( product(e_1,e_6,e_5)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_182]),c_0_46])]) ).
cnf(c_0_191,negated_conjecture,
( ~ product(e_6,e_5,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_183]) ).
cnf(c_0_192,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_184]),c_0_46])]) ).
cnf(c_0_193,plain,
( ~ product(e_6,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_145,c_0_137]) ).
cnf(c_0_194,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_195,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_187]),c_0_188]) ).
cnf(c_0_196,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_197,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_50]) ).
cnf(c_0_198,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_199,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_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_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_200,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_131,c_0_50]) ).
cnf(c_0_201,negated_conjecture,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_196,c_0_195]) ).
cnf(c_0_202,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
cnf(c_0_203,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_199]),c_0_46])]) ).
cnf(c_0_204,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_198]),c_0_141]) ).
cnf(c_0_205,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_103,c_0_50]) ).
cnf(c_0_206,negated_conjecture,
( ~ product(e_1,e_5,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_201]),c_0_200]) ).
cnf(c_0_207,negated_conjecture,
( product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,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_202,c_0_203]),c_0_204]) ).
cnf(c_0_208,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_205,c_0_46]) ).
cnf(c_0_209,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_1,X1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_101]) ).
cnf(c_0_210,negated_conjecture,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_206,c_0_183]) ).
cnf(c_0_211,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_5,e_1,X1)
| 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_141,c_0_76]) ).
cnf(c_0_212,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_207]),c_0_89]) ).
cnf(c_0_213,plain,
( product(e_3,e_2,e_6)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_87]),c_0_208]) ).
cnf(c_0_214,negated_conjecture,
( 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_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_6,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_68]),c_0_209]) ).
cnf(c_0_215,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_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_211,c_0_183]) ).
cnf(c_0_216,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_188,c_0_212]) ).
cnf(c_0_217,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_197,c_0_46]) ).
cnf(c_0_218,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_50]) ).
cnf(c_0_219,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_50]) ).
cnf(c_0_220,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_1,e_2,X1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_213]) ).
cnf(c_0_221,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_214]),c_0_88]) ).
cnf(c_0_222,negated_conjecture,
( ~ product(e_6,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| 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_45,c_0_215]) ).
cnf(c_0_223,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_6,e_5,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_216]),c_0_144]) ).
cnf(c_0_224,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_50]) ).
cnf(c_0_225,plain,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_109]),c_0_217]) ).
cnf(c_0_226,plain,
( ~ group_element(X1)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| product(X1,e_3,e_5)
| product(X1,e_3,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_87]) ).
cnf(c_0_227,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_218,c_0_46]) ).
cnf(c_0_228,plain,
~ product(e_6,e_3,e_6),
inference(spm,[status(thm)],[c_0_219,c_0_46]) ).
cnf(c_0_229,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_128]),c_0_181]) ).
cnf(c_0_230,plain,
( ~ product(e_5,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_113]),c_0_138]),c_0_139]) ).
cnf(c_0_231,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_209,c_0_221]) ).
cnf(c_0_232,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_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_233,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_6,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_210]),c_0_185]),c_0_197]) ).
cnf(c_0_234,negated_conjecture,
( ~ product(e_4,X1,e_5)
| product(e_1,e_4,X1)
| 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_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_225]) ).
cnf(c_0_235,plain,
( product(e_2,e_6,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(spm,[status(thm)],[c_0_163,c_0_116]) ).
cnf(c_0_236,plain,
~ product(e_2,e_6,e_6),
inference(spm,[status(thm)],[c_0_112,c_0_46]) ).
cnf(c_0_237,plain,
( ~ product(e_2,e_6,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_128]) ).
cnf(c_0_238,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_140,c_0_46]) ).
cnf(c_0_239,plain,
( ~ product(e_2,e_5,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_145,c_0_128]) ).
cnf(c_0_240,plain,
( product(e_4,e_3,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_67]),c_0_227]) ).
cnf(c_0_241,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_50]) ).
cnf(c_0_242,plain,
( product(e_6,e_3,e_5)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_52]),c_0_228]) ).
cnf(c_0_243,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_6,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_229]) ).
cnf(c_0_244,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_230,c_0_161]) ).
cnf(c_0_245,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_231]),c_0_89]) ).
cnf(c_0_246,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_193,c_0_154]) ).
cnf(c_0_247,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_114,c_0_46]) ).
cnf(c_0_248,plain,
( ~ product(e_2,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_162,c_0_128]) ).
cnf(c_0_249,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_232]),c_0_89]) ).
cnf(c_0_250,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_233,c_0_203]) ).
cnf(c_0_251,plain,
( ~ product(e_5,e_4,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_162,c_0_147]) ).
cnf(c_0_252,negated_conjecture,
( product(e_5,e_4,e_6)
| 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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_76]),c_0_169]) ).
cnf(c_0_253,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(sr,[status(thm)],[c_0_235,c_0_236]) ).
cnf(c_0_254,plain,
~ product(e_2,e_6,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_237]),c_0_46])]) ).
cnf(c_0_255,plain,
( product(e_2,e_5,e_6)
| 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_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_116]),c_0_238]) ).
cnf(c_0_256,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_239]),c_0_46])]) ).
cnf(c_0_257,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_1,e_3,X1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_240]) ).
cnf(c_0_258,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_241,c_0_46]) ).
cnf(c_0_259,plain,
( ~ product(e_6,e_2,e_1)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_205,c_0_242]) ).
cnf(c_0_260,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_243,c_0_128]) ).
cnf(c_0_261,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_244]),c_0_176]) ).
cnf(c_0_262,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_5,e_1,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_245]) ).
cnf(c_0_263,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_246]),c_0_46])]) ).
cnf(c_0_264,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_102,c_0_160]) ).
cnf(c_0_265,plain,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_116]),c_0_247]) ).
cnf(c_0_266,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_248]),c_0_46])]) ).
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_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_249]),c_0_46])]) ).
cnf(c_0_268,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_250]),c_0_88]) ).
cnf(c_0_269,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_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(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_270,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_6,e_2,X1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_187]) ).
cnf(c_0_271,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_1) ),
inference(sr,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_272,plain,
~ product(e_6,e_2,e_6),
inference(spm,[status(thm)],[c_0_189,c_0_46]) ).
cnf(c_0_273,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6) ),
inference(sr,[status(thm)],[c_0_255,c_0_256]) ).
cnf(c_0_274,negated_conjecture,
( product(e_4,e_3,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_101]),c_0_258]) ).
cnf(c_0_275,negated_conjecture,
( product(e_6,e_3,e_5)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,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)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_276,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_261]),c_0_176]) ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_6)
| product(e_1,e_2,e_4)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_201]),c_0_209]) ).
cnf(c_0_278,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_263]),c_0_264]) ).
cnf(c_0_279,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(sr,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_280,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| 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_162,c_0_267]),c_0_46])]) ).
cnf(c_0_281,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_268]),c_0_89]) ).
cnf(c_0_282,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_269]),c_0_46])]) ).
cnf(c_0_283,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]) ).
cnf(c_0_284,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_273]) ).
cnf(c_0_285,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_6,e_3,X1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_274]) ).
cnf(c_0_286,negated_conjecture,
( ~ product(e_3,X1,e_6)
| product(e_5,e_3,X1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_275]) ).
cnf(c_0_287,negated_conjecture,
( product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_276]),c_0_178]),c_0_177]) ).
cnf(c_0_288,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_6,e_2)
| product(e_1,e_2,e_4)
| product(e_5,e_1,e_6)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_277]),c_0_68]) ).
cnf(c_0_289,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_278,c_0_101]) ).
cnf(c_0_290,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_1,e_4,X1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_279]) ).
cnf(c_0_291,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,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_114,c_0_280]),c_0_128]) ).
cnf(c_0_292,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_5,e_2,X1)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_195]) ).
cnf(c_0_293,negated_conjecture,
( ~ product(e_2,e_4,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_281]),c_0_162]) ).
cnf(c_0_294,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_3)
| 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_139,c_0_282]),c_0_86]) ).
cnf(c_0_295,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_5,e_2,X1)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,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_141,c_0_283]) ).
cnf(c_0_296,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_5,e_2,X1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| 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_141,c_0_284]) ).
cnf(c_0_297,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_200,c_0_46]) ).
cnf(c_0_298,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_185,c_0_46]) ).
cnf(c_0_299,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_285,c_0_101]) ).
cnf(c_0_300,negated_conjecture,
( product(e_6,e_3,e_4)
| product(e_6,e_3,e_3)
| product(e_6,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)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_286,c_0_229]) ).
cnf(c_0_301,plain,
( product(e_4,e_6,e_6)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_1) ),
inference(spm,[status(thm)],[c_0_163,c_0_67]) ).
cnf(c_0_302,plain,
~ product(e_4,e_6,e_6),
inference(spm,[status(thm)],[c_0_65,c_0_46]) ).
cnf(c_0_303,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_287]),c_0_46])]) ).
cnf(c_0_304,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_1,e_6)
| product(e_1,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_288]),c_0_88]) ).
cnf(c_0_305,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_289]),c_0_128]) ).
cnf(c_0_306,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_160]) ).
cnf(c_0_307,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_169]) ).
cnf(c_0_308,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_103,c_0_160]) ).
cnf(c_0_309,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_279]),c_0_293]) ).
cnf(c_0_310,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_294,c_0_101]) ).
cnf(c_0_311,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_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_295,c_0_271]) ).
cnf(c_0_312,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_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_273]),c_0_297]) ).
cnf(c_0_313,negated_conjecture,
( ~ product(e_4,e_2,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_65,c_0_260]) ).
cnf(c_0_314,plain,
( product(e_4,e_2,e_6)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_67]),c_0_298]) ).
cnf(c_0_315,negated_conjecture,
( ~ product(e_6,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_205,c_0_299]) ).
cnf(c_0_316,plain,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_101]) ).
cnf(c_0_317,negated_conjecture,
( ~ product(e_3,X1,e_6)
| product(e_4,e_3,X1)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_300]) ).
cnf(c_0_318,negated_conjecture,
( ~ product(e_6,X1,e_1)
| product(e_5,e_6,X1)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_190]) ).
cnf(c_0_319,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5) ),
inference(sr,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_320,negated_conjecture,
( ~ product(e_5,X1,e_6)
| product(e_4,e_5,X1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_303]) ).
cnf(c_0_321,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_5,e_1,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_304]),c_0_144]) ).
cnf(c_0_322,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_305]),c_0_169]) ).
cnf(c_0_323,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_308]) ).
cnf(c_0_324,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_309]) ).
cnf(c_0_325,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_1,X1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_307]) ).
cnf(c_0_326,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_310]),c_0_114]),c_0_115]) ).
cnf(c_0_327,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_5,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_311]) ).
cnf(c_0_328,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_312]) ).
cnf(c_0_329,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| 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_5)
| product(e_4,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_330,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_260]),c_0_316]) ).
cnf(c_0_331,negated_conjecture,
( product(e_6,e_3,e_3)
| product(e_6,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)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_317,c_0_229]) ).
cnf(c_0_332,negated_conjecture,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_5,e_6,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_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_318,c_0_260]) ).
cnf(c_0_333,negated_conjecture,
( ~ product(e_6,X1,e_4)
| product(e_1,e_6,X1)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_319]) ).
cnf(c_0_334,plain,
~ product(e_1,e_6,e_1),
inference(spm,[status(thm)],[c_0_58,c_0_46]) ).
cnf(c_0_335,plain,
( ~ product(e_4,e_6,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_58,c_0_76]) ).
cnf(c_0_336,negated_conjecture,
( ~ product(e_6,e_5,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_221]) ).
cnf(c_0_337,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_6,e_5,e_3)
| product(e_4,e_5,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_193]) ).
cnf(c_0_338,negated_conjecture,
( ~ product(e_5,X1,e_4)
| product(e_1,e_5,X1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_322]),c_0_323]) ).
cnf(c_0_339,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_279]),c_0_298]),c_0_325]) ).
cnf(c_0_340,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_326,c_0_128]) ).
cnf(c_0_341,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,e_6)
| product(e_4,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_327,c_0_271]) ).
cnf(c_0_342,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_328,c_0_273]) ).
cnf(c_0_343,plain,
( ~ product(e_4,e_2,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_170,c_0_76]) ).
cnf(c_0_344,negated_conjecture,
( product(e_4,e_2,e_5)
| 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_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_329]),c_0_229]) ).
cnf(c_0_345,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_5,e_3,X1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_330]) ).
cnf(c_0_346,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_331]),c_0_46])]) ).
cnf(c_0_347,negated_conjecture,
( ~ product(e_6,X1,e_1)
| product(e_4,e_6,X1)
| product(e_3,e_2,e_5)
| 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_6,e_2)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_332]) ).
cnf(c_0_348,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_85]),c_0_334]),c_0_335]) ).
cnf(c_0_349,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_350,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_338,c_0_339]) ).
cnf(c_0_351,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_340]),c_0_46])]) ).
cnf(c_0_352,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_3,e_2,X1)
| product(e_4,e_2,e_6)
| product(e_5,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_341]) ).
cnf(c_0_353,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_3,e_2,X1)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_342]) ).
cnf(c_0_354,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_3,e_2,e_5)
| product(e_3,e_2,e_4)
| 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) ),
inference(spm,[status(thm)],[c_0_343,c_0_344]) ).
cnf(c_0_355,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_96,c_0_160]) ).
cnf(c_0_356,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_345,c_0_101]) ).
cnf(c_0_357,negated_conjecture,
( ~ product(e_3,X1,e_6)
| product(e_2,e_3,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_5,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_346]) ).
cnf(c_0_358,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_346]),c_0_114]),c_0_140]),c_0_241]) ).
cnf(c_0_359,negated_conjecture,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_2)
| product(e_5,e_6,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_3,e_2,e_5)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_347,c_0_260]) ).
cnf(c_0_360,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_348]),c_0_114]) ).
cnf(c_0_361,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_349]),c_0_89]) ).
cnf(c_0_362,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_350]),c_0_89]) ).
cnf(c_0_363,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_203]),c_0_209]) ).
cnf(c_0_364,negated_conjecture,
( ~ product(e_4,X1,e_5)
| product(e_3,e_4,X1)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_351]) ).
cnf(c_0_365,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_129,c_0_160]) ).
cnf(c_0_366,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_5,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_352,c_0_271]) ).
cnf(c_0_367,negated_conjecture,
( ~ product(e_6,X1,e_2)
| product(e_1,e_6,X1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_271]) ).
cnf(c_0_368,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_111,c_0_160]) ).
cnf(c_0_369,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_353,c_0_273]) ).
cnf(c_0_370,negated_conjecture,
( 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_4)
| 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_162,c_0_354]),c_0_46])]) ).
cnf(c_0_371,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_138]) ).
cnf(c_0_372,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_5,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_229]),c_0_358]) ).
cnf(c_0_373,negated_conjecture,
( ~ product(e_6,X1,e_1)
| product(e_3,e_6,X1)
| product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| 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_6,e_2)
| product(e_1,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_359]) ).
cnf(c_0_374,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_86,c_0_46]) ).
cnf(c_0_375,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_360,c_0_128]) ).
cnf(c_0_376,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_361]),c_0_169]),c_0_323]) ).
cnf(c_0_377,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_362]),c_0_169]) ).
cnf(c_0_378,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_126,c_0_363]) ).
cnf(c_0_379,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_364,c_0_245]) ).
cnf(c_0_380,negated_conjecture,
( ~ product(e_4,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_245]),c_0_264]) ).
cnf(c_0_381,plain,
( ~ product(e_5,e_2,e_6)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_147]) ).
cnf(c_0_382,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_5,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_366]),c_0_46])]) ).
cnf(c_0_383,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_137]),c_0_334]) ).
cnf(c_0_384,negated_conjecture,
( ~ product(e_6,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_260]),c_0_84]) ).
cnf(c_0_385,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_6)
| product(e_6,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_369]),c_0_46])]) ).
cnf(c_0_386,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| 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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_370]),c_0_128]) ).
cnf(c_0_387,negated_conjecture,
( product(e_4,e_3,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_4,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_316]) ).
cnf(c_0_388,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_5,e_6,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_3,e_2,e_5)
| product(e_4,e_6,e_2)
| product(e_3,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_373,c_0_260]) ).
cnf(c_0_389,plain,
( product(e_3,e_4,e_6)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_87]),c_0_374]) ).
cnf(c_0_390,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_375]),c_0_86]),c_0_115]) ).
cnf(c_0_391,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_376]),c_0_377]) ).
cnf(c_0_392,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_380]) ).
cnf(c_0_393,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_381,c_0_382]) ).
cnf(c_0_394,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_1,X1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_383]) ).
cnf(c_0_395,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_130,c_0_160]) ).
cnf(c_0_396,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_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
cnf(c_0_397,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_386]),c_0_205]) ).
cnf(c_0_398,negated_conjecture,
( product(e_4,e_3,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_387]),c_0_46])]) ).
cnf(c_0_399,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_6,e_2)
| product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_5,e_6,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_388]),c_0_88]) ).
cnf(c_0_400,plain,
( ~ product(e_2,e_4,e_1)
| 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_4,e_6) ),
inference(spm,[status(thm)],[c_0_115,c_0_389]) ).
cnf(c_0_401,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_402,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_4,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_392]),c_0_144]) ).
cnf(c_0_403,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_279]) ).
cnf(c_0_404,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_393]),c_0_46])]) ).
cnf(c_0_405,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_2,e_6)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_311]),c_0_188]) ).
cnf(c_0_406,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_141]) ).
cnf(c_0_407,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_316]) ).
cnf(c_0_408,negated_conjecture,
( ~ product(e_5,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_4,e_6,e_2)
| product(e_3,e_6,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_219,c_0_399]) ).
cnf(c_0_409,plain,
( product(e_3,e_4,e_6)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_400,c_0_279]) ).
cnf(c_0_410,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_401]),c_0_46])]) ).
cnf(c_0_411,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_402]),c_0_169]),c_0_323]) ).
cnf(c_0_412,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_5,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_6,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_141,c_0_403]) ).
cnf(c_0_413,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_139,c_0_404]) ).
cnf(c_0_414,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_3,e_2,X1)
| product(e_5,e_2,e_6)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_405]) ).
cnf(c_0_415,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| 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_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_316]) ).
cnf(c_0_416,negated_conjecture,
( ~ product(e_4,e_6,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_386]),c_0_189]) ).
cnf(c_0_417,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_6,e_2)
| product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_4,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_408,c_0_372]) ).
cnf(c_0_418,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_6,e_4,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_409]) ).
cnf(c_0_419,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_410]),c_0_46])]) ).
cnf(c_0_420,plain,
~ product(e_6,e_4,e_6),
inference(spm,[status(thm)],[c_0_224,c_0_46]) ).
cnf(c_0_421,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_411]),c_0_115]),c_0_355]) ).
cnf(c_0_422,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_6,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_412,c_0_279]) ).
cnf(c_0_423,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_5,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_413,c_0_101]) ).
cnf(c_0_424,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_414,c_0_271]) ).
cnf(c_0_425,negated_conjecture,
( 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_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_415]),c_0_46])]) ).
cnf(c_0_426,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_3,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_397]) ).
cnf(c_0_427,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_6,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_420]),c_0_421]) ).
cnf(c_0_428,plain,
( ~ product(e_2,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_6) ),
inference(spm,[status(thm)],[c_0_140,c_0_225]) ).
cnf(c_0_429,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_6,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_422]) ).
cnf(c_0_430,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_423]),c_0_115]) ).
cnf(c_0_431,negated_conjecture,
( ~ product(e_4,e_2,e_6)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_424]),c_0_86]) ).
cnf(c_0_432,negated_conjecture,
( ~ product(e_3,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_425]),c_0_189]) ).
cnf(c_0_433,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_5,e_6)
| product(e_2,e_5,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_406,c_0_426]) ).
cnf(c_0_434,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_1,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_290,c_0_427]) ).
cnf(c_0_435,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_74,c_0_160]) ).
cnf(c_0_436,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_110,c_0_160]) ).
cnf(c_0_437,plain,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_428,c_0_279]) ).
cnf(c_0_438,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_391]) ).
cnf(c_0_439,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_279]),c_0_298]) ).
cnf(c_0_440,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_128]),c_0_431]) ).
cnf(c_0_441,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_99,c_0_160]) ).
cnf(c_0_442,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| 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_432,c_0_433]) ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_3,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_434]),c_0_115]),c_0_435]),c_0_436]) ).
cnf(c_0_444,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_251,c_0_437]) ).
cnf(c_0_445,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_160]) ).
cnf(c_0_446,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4)
| product(e_6,e_2,e_4)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_438,c_0_439]) ).
cnf(c_0_447,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_241,c_0_383]) ).
cnf(c_0_448,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_440]),c_0_441]) ).
cnf(c_0_449,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_5,e_2,X1)
| 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_5,e_6)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_442]) ).
cnf(c_0_450,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_409]),c_0_421]) ).
cnf(c_0_451,plain,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_444]),c_0_46])]) ).
cnf(c_0_452,negated_conjecture,
( ~ product(e_6,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_260]),c_0_84]) ).
cnf(c_0_453,negated_conjecture,
( product(e_6,e_2,e_4)
| product(e_5,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_446]),c_0_46])]) ).
cnf(c_0_454,negated_conjecture,
( ~ product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_391]) ).
cnf(c_0_455,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_398]),c_0_448]) ).
cnf(c_0_456,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_449,c_0_128]) ).
cnf(c_0_457,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_5,e_4,X1)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_450]) ).
cnf(c_0_458,plain,
( ~ product(e_5,e_2,e_4)
| product(e_5,e_1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_451]),c_0_185]) ).
cnf(c_0_459,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_454]) ).
cnf(c_0_460,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_455]),c_0_46])]) ).
cnf(c_0_461,negated_conjecture,
( ~ product(e_5,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_456]),c_0_139]) ).
cnf(c_0_462,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_5,e_4,e_6)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_457,c_0_419]) ).
cnf(c_0_463,negated_conjecture,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_464,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,X1)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_460]) ).
cnf(c_0_465,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_185,c_0_450]) ).
cnf(c_0_466,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| 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_4,e_6)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_459]),c_0_454]) ).
cnf(c_0_467,negated_conjecture,
( ~ product(e_5,e_4,e_3)
| product(e_4,e_6,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_462]),c_0_139]) ).
cnf(c_0_468,negated_conjecture,
( product(e_3,e_2,e_5)
| 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_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_463]),c_0_128]) ).
cnf(c_0_469,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_5,e_2,e_6)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_464,c_0_341]) ).
cnf(c_0_470,negated_conjecture,
( ~ product(e_6,X1,e_4)
| product(e_3,e_6,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_419]) ).
cnf(c_0_471,negated_conjecture,
( ~ product(e_3,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_391]) ).
cnf(c_0_472,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_465,c_0_466]) ).
cnf(c_0_473,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_4,e_6,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_462]),c_0_140]) ).
cnf(c_0_474,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_4,e_6,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_467,c_0_468]) ).
cnf(c_0_475,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_57,c_0_160]) ).
cnf(c_0_476,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_469]),c_0_46])]) ).
cnf(c_0_477,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_5,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_453]),c_0_471]) ).
cnf(c_0_478,plain,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_224,c_0_271]) ).
cnf(c_0_479,plain,
( ~ product(e_5,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_85]),c_0_138]) ).
cnf(c_0_480,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_6)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_472]),c_0_46])]) ).
cnf(c_0_481,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_386]),c_0_170]),c_0_115]) ).
cnf(c_0_482,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_453]),c_0_139]) ).
cnf(c_0_483,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_4,e_6,e_2)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_465]) ).
cnf(c_0_484,negated_conjecture,
( ~ product(e_5,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_4,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_141]) ).
cnf(c_0_485,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_4,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_477]) ).
cnf(c_0_486,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_478,c_0_279]) ).
cnf(c_0_487,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_5,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_479,c_0_157]) ).
cnf(c_0_488,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_480]),c_0_46])]) ).
cnf(c_0_489,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_391]),c_0_482]) ).
cnf(c_0_490,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_189,c_0_483]) ).
cnf(c_0_491,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_484,c_0_459]) ).
cnf(c_0_492,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4) ),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_493,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_4,e_1,e_2)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_487]),c_0_114]),c_0_140]) ).
cnf(c_0_494,negated_conjecture,
( ~ product(e_5,X1,e_2)
| product(e_6,e_5,X1)
| product(e_2,e_5,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_488]) ).
cnf(c_0_495,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_489]),c_0_465]),c_0_490]) ).
cnf(c_0_496,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4) ),
inference(spm,[status(thm)],[c_0_435,c_0_491]) ).
cnf(c_0_497,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_492]),c_0_441]) ).
cnf(c_0_498,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_5,e_4,X1)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_186]) ).
cnf(c_0_499,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_493,c_0_128]) ).
cnf(c_0_500,negated_conjecture,
( ~ product(e_6,X1,e_4)
| product(e_2,e_6,X1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_483]) ).
cnf(c_0_501,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_2)
| product(e_6,e_5,e_4)
| product(e_3,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_502,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_489]),c_0_497]) ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_2,e_6,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_483]),c_0_58]),c_0_224]) ).
cnf(c_0_504,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_176]),c_0_217]) ).
cnf(c_0_505,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_499]),c_0_176]) ).
cnf(c_0_506,negated_conjecture,
( ~ product(e_4,X1,e_5)
| product(e_6,e_4,X1)
| 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(spm,[status(thm)],[c_0_141,c_0_252]) ).
cnf(c_0_507,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_500,c_0_501]) ).
cnf(c_0_508,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_4,e_3)
| product(e_2,e_6,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_502]),c_0_503]) ).
cnf(c_0_509,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_504]),c_0_46])]) ).
cnf(c_0_510,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_6,e_4,X1)
| 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_141,c_0_179]) ).
cnf(c_0_511,negated_conjecture,
( product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_505]),c_0_176]) ).
cnf(c_0_512,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_6,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_506,c_0_76]) ).
cnf(c_0_513,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_507]),c_0_46])]) ).
cnf(c_0_514,negated_conjecture,
( product(e_2,e_6,e_4)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_508]),c_0_46])]) ).
cnf(c_0_515,negated_conjecture,
( product(e_1,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_233,c_0_509]) ).
cnf(c_0_516,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_510,c_0_511]) ).
cnf(c_0_517,negated_conjecture,
( ~ product(e_2,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)
| product(e_5,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_112,c_0_512]) ).
cnf(c_0_518,negated_conjecture,
( ~ product(e_2,e_4,e_6)
| 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(spm,[status(thm)],[c_0_140,c_0_252]) ).
cnf(c_0_519,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_5,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_513]),c_0_46])]) ).
cnf(c_0_520,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_6,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_514]),c_0_46])]) ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_5,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_515]),c_0_88]) ).
cnf(c_0_522,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_5,e_4,X1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_516]) ).
cnf(c_0_523,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_279]),c_0_518]) ).
cnf(c_0_524,negated_conjecture,
( product(e_2,e_5,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_519]),c_0_520]) ).
cnf(c_0_525,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_521]),c_0_89]) ).
cnf(c_0_526,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_522,c_0_511]),c_0_217]) ).
cnf(c_0_527,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_523]),c_0_46])]) ).
cnf(c_0_528,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_524]),c_0_46])]) ).
cnf(c_0_529,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_4,X1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_525]) ).
cnf(c_0_530,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_526]),c_0_46])]) ).
cnf(c_0_531,negated_conjecture,
( ~ product(e_4,X1,e_5)
| product(e_3,e_4,X1)
| 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_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_527]) ).
cnf(c_0_532,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_4)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_136,c_0_260]) ).
cnf(c_0_533,plain,
( product(e_5,e_2,e_6)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_109]),c_0_297]) ).
cnf(c_0_534,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_6,e_4,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_528]) ).
cnf(c_0_535,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_529,c_0_511]) ).
cnf(c_0_536,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_530]),c_0_380]) ).
cnf(c_0_537,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_531,c_0_76]) ).
cnf(c_0_538,negated_conjecture,
( product(e_3,e_2,e_5)
| 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_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_532,c_0_533]) ).
cnf(c_0_539,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_4,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_534,c_0_535]) ).
cnf(c_0_540,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_4,X1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_536]) ).
cnf(c_0_541,plain,
( ~ product(e_2,e_4,e_6)
| 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_108,c_0_179]) ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_4,X1,e_5)
| product(e_2,e_4,X1)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_537]) ).
cnf(c_0_543,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_241,c_0_305]) ).
cnf(c_0_544,negated_conjecture,
( ~ product(e_5,X1,e_4)
| product(e_1,e_5,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_141,c_0_511]) ).
cnf(c_0_545,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_538]),c_0_229]) ).
cnf(c_0_546,negated_conjecture,
( ~ product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_539]),c_0_112]) ).
cnf(c_0_547,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_540,c_0_276]) ).
cnf(c_0_548,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_541,c_0_528]) ).
cnf(c_0_549,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_542,c_0_76]) ).
cnf(c_0_550,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_543,c_0_398]) ).
cnf(c_0_551,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_544,c_0_545]) ).
cnf(c_0_552,negated_conjecture,
( ~ product(e_4,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_245]),c_0_308]),c_0_86]) ).
cnf(c_0_553,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_5,e_4,X1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_548]) ).
cnf(c_0_555,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_516]),c_0_112]) ).
cnf(c_0_556,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_3,e_4,X1)
| product(e_1,e_4,e_2)
| product(e_6,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_141,c_0_530]) ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_4,e_1)
| 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,e_5)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_549]),c_0_46])]) ).
cnf(c_0_558,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_241,c_0_535]) ).
cnf(c_0_559,negated_conjecture,
( ~ product(e_2,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_550]),c_0_115]) ).
cnf(c_0_560,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_551]),c_0_89]) ).
cnf(c_0_561,negated_conjecture,
( ~ product(e_5,e_4,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_126,c_0_212]) ).
cnf(c_0_562,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_76]),c_0_552]) ).
cnf(c_0_563,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_553]),c_0_46])]) ).
cnf(c_0_564,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_511]),c_0_217]),c_0_555]) ).
cnf(c_0_565,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_556,c_0_511]) ).
cnf(c_0_566,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_114,c_0_557]) ).
cnf(c_0_567,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_398]),c_0_559]) ).
cnf(c_0_568,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_5,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_560]) ).
cnf(c_0_569,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_1,e_2,e_4)
| product(e_6,e_5,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_3,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_563]) ).
cnf(c_0_571,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_564]),c_0_46])]) ).
cnf(c_0_572,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_4,e_5)
| product(e_6,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_188,c_0_565]) ).
cnf(c_0_573,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_566,c_0_128]) ).
cnf(c_0_574,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_4,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_241,c_0_361]) ).
cnf(c_0_575,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_567]),c_0_46])]) ).
cnf(c_0_576,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_568,c_0_426]) ).
cnf(c_0_577,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_6,e_5,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_569]),c_0_144]),c_0_552]) ).
cnf(c_0_578,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_571]),c_0_119]) ).
cnf(c_0_579,negated_conjecture,
( ~ product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_572]),c_0_115]) ).
cnf(c_0_580,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_534,c_0_573]) ).
cnf(c_0_581,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_4,e_5,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_574,c_0_398]) ).
cnf(c_0_582,negated_conjecture,
( ~ product(e_3,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_575]),c_0_189]) ).
cnf(c_0_583,negated_conjecture,
( product(e_3,e_6,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_576]),c_0_46])]) ).
cnf(c_0_584,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_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_5,e_2)
| product(e_3,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_577]),c_0_552]) ).
cnf(c_0_585,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_578]),c_0_579]) ).
cnf(c_0_586,negated_conjecture,
( ~ product(e_5,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_580]),c_0_139]),c_0_140]) ).
cnf(c_0_587,negated_conjecture,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_581]) ).
cnf(c_0_588,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_582,c_0_583]) ).
cnf(c_0_589,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_584]),c_0_89]) ).
cnf(c_0_590,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_585]),c_0_115]) ).
cnf(c_0_591,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_586,c_0_225]) ).
cnf(c_0_592,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_316]),c_0_559]) ).
cnf(c_0_593,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_589]),c_0_46])]) ).
cnf(c_0_594,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_590,c_0_563]) ).
cnf(c_0_595,negated_conjecture,
( product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_591]),c_0_528]) ).
cnf(c_0_596,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_592]),c_0_46])]) ).
cnf(c_0_597,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_593]),c_0_46])]) ).
cnf(c_0_598,negated_conjecture,
( ~ product(e_5,X1,e_3)
| product(e_1,e_5,X1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_594]) ).
cnf(c_0_599,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_595]),c_0_46])]) ).
cnf(c_0_600,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_390,c_0_596]) ).
cnf(c_0_601,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_1,X1)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_597]) ).
cnf(c_0_602,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_1,e_5,e_4)
| product(e_5,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_598,c_0_599]) ).
cnf(c_0_603,negated_conjecture,
( ~ product(e_3,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_197,c_0_594]) ).
cnf(c_0_604,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_600]),c_0_46])]) ).
cnf(c_0_605,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_602]),c_0_118]),c_0_603]) ).
cnf(c_0_606,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_604]),c_0_46])]) ).
cnf(c_0_607,negated_conjecture,
( ~ product(e_3,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_605]),c_0_162]),c_0_115]) ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_189,c_0_606]) ).
cnf(c_0_609,negated_conjecture,
( ~ product(e_3,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_596]),c_0_189]) ).
cnf(c_0_610,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_389]),c_0_443]),c_0_607]) ).
cnf(c_0_611,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_426]),c_0_609]) ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_185,c_0_610]) ).
cnf(c_0_613,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_611]),c_0_420]) ).
cnf(c_0_614,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_615,plain,
( product(e_3,e_6,e_6)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_1) ),
inference(spm,[status(thm)],[c_0_163,c_0_87]) ).
cnf(c_0_616,plain,
~ product(e_3,e_6,e_6),
inference(spm,[status(thm)],[c_0_84,c_0_46]) ).
cnf(c_0_617,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_614]),c_0_46])]) ).
cnf(c_0_618,plain,
( product(e_3,e_6,e_1)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5) ),
inference(sr,[status(thm)],[c_0_615,c_0_616]) ).
cnf(c_0_619,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_316,c_0_617]) ).
cnf(c_0_620,plain,
( ~ product(e_3,e_5,e_1)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_125,c_0_618]) ).
cnf(c_0_621,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_619]),c_0_46])]) ).
cnf(c_0_622,negated_conjecture,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_620,c_0_594]) ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_3,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_621]),c_0_189]) ).
cnf(c_0_624,negated_conjecture,
( ~ product(e_3,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_622]),c_0_623]),c_0_115]) ).
cnf(c_0_625,negated_conjecture,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_624,c_0_610]) ).
cnf(c_0_626,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_6,e_3) ),
inference(spm,[status(thm)],[c_0_189,c_0_625]) ).
cnf(c_0_627,negated_conjecture,
( product(e_3,e_6,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_626,c_0_617]) ).
cnf(c_0_628,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_627]),c_0_46])]) ).
cnf(c_0_629,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_628]),c_0_46])]) ).
cnf(c_0_630,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_629]),c_0_46])]) ).
cnf(c_0_631,negated_conjecture,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_630]),c_0_46])]) ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_4,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_241,c_0_597]) ).
cnf(c_0_633,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_631]) ).
cnf(c_0_634,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_632,c_0_398]) ).
cnf(c_0_635,plain,
( product(e_6,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_52]),c_0_272]) ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_5,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_6,e_2,e_5)
| 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_141,c_0_633]) ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_573]),c_0_115]) ).
cnf(c_0_638,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_1)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_634]),c_0_46])]) ).
cnf(c_0_639,negated_conjecture,
( ~ product(e_2,X1,e_6)
| product(e_1,e_2,X1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_635]) ).
cnf(c_0_640,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_6,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_636,c_0_631]),c_0_297]) ).
cnf(c_0_641,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_5)
| 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_5) ),
inference(spm,[status(thm)],[c_0_637,c_0_638]) ).
cnf(c_0_642,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_639,c_0_528]) ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_640]) ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_1,e_4,X1)
| product(e_3,e_2,e_5)
| 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_4,e_1) ),
inference(spm,[status(thm)],[c_0_141,c_0_641]) ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_642]),c_0_45]) ).
cnf(c_0_646,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_643,c_0_631]) ).
cnf(c_0_647,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| 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_5)
| product(e_1,e_4,e_6)
| product(e_4,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_644,c_0_606]) ).
cnf(c_0_648,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_4,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_649,negated_conjecture,
( product(e_4,e_6,e_2)
| product(e_3,e_2,e_5)
| 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_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_647]),c_0_279]) ).
cnf(c_0_650,negated_conjecture,
( product(e_4,e_2,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_648]),c_0_46])]) ).
cnf(c_0_651,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_534,c_0_649]),c_0_420]) ).
cnf(c_0_652,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_631]),c_0_355]),c_0_368]) ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_650]),c_0_86]) ).
cnf(c_0_654,negated_conjecture,
( product(e_3,e_2,e_5)
| 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) ),
inference(sr,[status(thm)],[c_0_651,c_0_652]) ).
cnf(c_0_655,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_653,c_0_654]) ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_2,X1,e_6)
| product(e_4,e_2,X1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_655]) ).
cnf(c_0_657,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_656,c_0_528]),c_0_298]) ).
cnf(c_0_658,negated_conjecture,
( 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_657]),c_0_46])]) ).
cnf(c_0_659,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_5,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_613]) ).
cnf(c_0_660,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_658]),c_0_46])]) ).
cnf(c_0_661,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_73,c_0_160]) ).
cnf(c_0_662,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| 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_1) ),
inference(spm,[status(thm)],[c_0_659,c_0_128]) ).
cnf(c_0_663,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_4,e_2,X1)
| product(e_3,e_2,e_5)
| 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_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_545]) ).
cnf(c_0_664,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_660]),c_0_46])]) ).
cnf(c_0_665,negated_conjecture,
( ~ product(e_5,e_2,e_3)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_141]) ).
cnf(c_0_666,negated_conjecture,
( product(e_5,e_2,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_3,e_2,e_5)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_663,c_0_664]),c_0_298]),c_0_665]) ).
cnf(c_0_667,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_666]),c_0_46])]) ).
cnf(c_0_668,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_5,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_667]) ).
cnf(c_0_669,negated_conjecture,
( product(e_2,e_4,e_2)
| 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_1) ),
inference(spm,[status(thm)],[c_0_668,c_0_128]) ).
cnf(c_0_670,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_1,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_669]) ).
cnf(c_0_671,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_670,c_0_664]) ).
cnf(c_0_672,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_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_671]),c_0_144]) ).
cnf(c_0_673,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2)
| 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_162,c_0_672]),c_0_46])]) ).
cnf(c_0_674,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_1,e_2,X1)
| 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_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_533]) ).
cnf(c_0_675,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_5,e_4,X1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_664]) ).
cnf(c_0_676,negated_conjecture,
( product(e_4,e_1,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_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_673]),c_0_128]) ).
cnf(c_0_677,negated_conjecture,
( product(e_5,e_2,e_6)
| 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,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_674,c_0_664]) ).
cnf(c_0_678,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_5,e_4,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_675,c_0_676]) ).
cnf(c_0_679,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_677]),c_0_139]) ).
cnf(c_0_680,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_678]),c_0_669]) ).
cnf(c_0_681,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_585]) ).
cnf(c_0_682,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_679,c_0_680]) ).
cnf(c_0_683,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_681,c_0_680]) ).
cnf(c_0_684,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_6,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_682]) ).
cnf(c_0_685,negated_conjecture,
( ~ product(e_6,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_671]),c_0_84]) ).
cnf(c_0_686,negated_conjecture,
( ~ product(e_5,X1,e_3)
| product(e_1,e_5,X1)
| product(e_3,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_683]) ).
cnf(c_0_687,negated_conjecture,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_664]),c_0_685]) ).
cnf(c_0_688,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_5,e_2)
| product(e_5,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_686,c_0_687]) ).
cnf(c_0_689,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_688]),c_0_89]) ).
cnf(c_0_690,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_689]),c_0_46])]) ).
cnf(c_0_691,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_690]),c_0_46])]) ).
cnf(c_0_692,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_691]),c_0_46])]) ).
cnf(c_0_693,negated_conjecture,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_692]) ).
cnf(c_0_694,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_5,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| 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_141,c_0_693]) ).
cnf(c_0_695,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_6,e_2,e_5)
| product(e_2,e_4,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_694,c_0_692]),c_0_297]) ).
cnf(c_0_696,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_695]) ).
cnf(c_0_697,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_696,c_0_692]) ).
cnf(c_0_698,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_3,e_2,X1)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_697]) ).
cnf(c_0_699,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1)
| product(e_2,e_4,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_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_677]) ).
cnf(c_0_700,negated_conjecture,
( product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_698,c_0_692]) ).
cnf(c_0_701,negated_conjecture,
( product(e_5,e_2,e_6)
| 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_4,e_2)
| product(e_4,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_699,c_0_692]) ).
cnf(c_0_702,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_700]),c_0_46])]) ).
cnf(c_0_703,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_6,e_2,X1)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_701]) ).
cnf(c_0_704,negated_conjecture,
( ~ product(e_6,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_365,c_0_702]) ).
cnf(c_0_705,negated_conjecture,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_6,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_703,c_0_664]) ).
cnf(c_0_706,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_704,c_0_705]) ).
cnf(c_0_707,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_4,e_2,X1)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_706]) ).
cnf(c_0_708,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_707,c_0_664]),c_0_298]) ).
cnf(c_0_709,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_3,e_2,X1)
| product(e_5,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_708]) ).
cnf(c_0_710,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_316,c_0_680]) ).
cnf(c_0_711,negated_conjecture,
( product(e_3,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_5,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_709,c_0_664]) ).
cnf(c_0_712,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_710]),c_0_46])]) ).
cnf(c_0_713,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_81,c_0_695]) ).
cnf(c_0_714,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_711]),c_0_46])]) ).
cnf(c_0_715,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,X1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_712]) ).
cnf(c_0_716,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_713,c_0_680]) ).
cnf(c_0_717,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_3,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_343,c_0_714]) ).
cnf(c_0_718,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_715,c_0_716]) ).
cnf(c_0_719,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| 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_162,c_0_717]),c_0_46])]) ).
cnf(c_0_720,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_718]),c_0_46])]) ).
cnf(c_0_721,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_131,c_0_160]) ).
cnf(c_0_722,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_719]) ).
cnf(c_0_723,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_720]),c_0_721]) ).
cnf(c_0_724,negated_conjecture,
( ~ product(e_3,e_2,e_6)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_476]),c_0_86]),c_0_436]) ).
cnf(c_0_725,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_722,c_0_128]),c_0_723]) ).
cnf(c_0_726,negated_conjecture,
( ~ product(e_4,e_2,e_5)
| product(e_2,e_4,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_62,c_0_693]),c_0_65]) ).
cnf(c_0_727,negated_conjecture,
( ~ product(e_3,e_2,e_5)
| product(e_2,e_4,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_81,c_0_693]),c_0_84]) ).
cnf(c_0_728,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_229]),c_0_448]) ).
cnf(c_0_729,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_2,e_1,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_725]) ).
cnf(c_0_730,negated_conjecture,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_726,c_0_714]),c_0_727]) ).
cnf(c_0_731,negated_conjecture,
( ~ product(e_1,e_2,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_671]),c_0_81]) ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_5,e_2,X1)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_728]) ).
cnf(c_0_733,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_729,c_0_730]),c_0_731]) ).
cnf(c_0_734,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_5,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_732,c_0_128]) ).
cnf(c_0_735,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_3,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_141,c_0_733]) ).
cnf(c_0_736,negated_conjecture,
( ~ product(e_5,e_2,e_6)
| product(e_3,e_2,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_164,c_0_734]) ).
cnf(c_0_737,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_692]),c_0_723]) ).
cnf(c_0_738,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_6,e_2,X1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_141,c_0_382]) ).
cnf(c_0_739,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_382]),c_0_724]) ).
cnf(c_0_740,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_316,c_0_737]) ).
cnf(c_0_741,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_4,e_2,X1)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_680]) ).
cnf(c_0_742,negated_conjecture,
( product(e_3,e_2,e_6)
| product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_6,e_2,e_4)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_738,c_0_664]) ).
cnf(c_0_743,negated_conjecture,
( ~ product(e_3,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_676]),c_0_115]),c_0_170]) ).
cnf(c_0_744,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_431,c_0_739]) ).
cnf(c_0_745,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_740]),c_0_46])]) ).
cnf(c_0_746,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_4,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_741,c_0_128]) ).
cnf(c_0_747,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_4,e_2,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_742]),c_0_475]) ).
cnf(c_0_748,negated_conjecture,
( product(e_3,e_2,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(spm,[status(thm)],[c_0_743,c_0_744]) ).
cnf(c_0_749,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_2,e_1,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_745]) ).
cnf(c_0_750,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_6,e_2,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_713,c_0_737]) ).
cnf(c_0_751,negated_conjecture,
( ~ product(e_4,e_2,e_6)
| product(e_2,e_4,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_164,c_0_746]) ).
cnf(c_0_752,negated_conjecture,
( product(e_4,e_2,e_6)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
cnf(c_0_753,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_6,e_2,e_5)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_749,c_0_750]) ).
cnf(c_0_754,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_4,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_737]) ).
cnf(c_0_755,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_751,c_0_752]),c_0_448]) ).
cnf(c_0_756,plain,
( ~ product(e_6,e_2,e_5)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_170,c_0_66]) ).
cnf(c_0_757,negated_conjecture,
( product(e_6,e_2,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_753]),c_0_46])]) ).
cnf(c_0_758,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_754,c_0_128]) ).
cnf(c_0_759,negated_conjecture,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_2)
| product(e_2,e_4,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_755]),c_0_46])]) ).
cnf(c_0_760,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_756,c_0_757]) ).
cnf(c_0_761,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_1,e_2,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_758]) ).
cnf(c_0_762,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_759]),c_0_664]) ).
cnf(c_0_763,negated_conjecture,
( ~ product(e_1,X1,e_6)
| product(e_4,e_1,X1)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_760]) ).
cnf(c_0_764,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_2,e_6)
| product(e_2,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_761,c_0_762]) ).
cnf(c_0_765,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_6,e_2) ),
inference(spm,[status(thm)],[c_0_763,c_0_764]) ).
cnf(c_0_766,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_765]),c_0_128]) ).
cnf(c_0_767,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_6,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_766]),c_0_745]) ).
cnf(c_0_768,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_200,c_0_692]) ).
cnf(c_0_769,negated_conjecture,
( product(e_2,e_6,e_2)
| product(e_2,e_1,e_2)
| product(e_2,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_767]),c_0_745]) ).
cnf(c_0_770,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_768]),c_0_445]) ).
cnf(c_0_771,negated_conjecture,
( product(e_2,e_4,e_2)
| product(e_2,e_6,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_769]),c_0_770]) ).
cnf(c_0_772,negated_conjecture,
product(e_2,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_771]),c_0_46])]) ).
cnf(c_0_773,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_772]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:00:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.45 Running first-order theorem proving
% 0.14/0.45 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 50.70/7.84 % Version: 3.5.1
% 50.70/7.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 50.70/7.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.70/7.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 50.70/7.84 % Starting new_bool_3 with 300s (1) cores
% 50.70/7.84 % Starting new_bool_1 with 300s (1) cores
% 50.70/7.84 % Starting sh5l with 300s (1) cores
% 50.70/7.84 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1634253 completed with status 0
% 50.70/7.84 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 50.70/7.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 50.70/7.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.70/7.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 50.70/7.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 50.70/7.84 % No SInE strategy applied
% 50.70/7.84 % Search class: FGHNF-FFMM00-SFFFFFNN
% 50.70/7.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 50.70/7.84 % Starting SubtermCWHack with 136s (1) cores
% 50.70/7.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 50.70/7.84 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 50.70/7.84 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 50.70/7.84 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 50.70/7.84 % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1634261 completed with status 0
% 50.70/7.84 % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 50.70/7.84 % Preprocessing class: FSMSSMSSSSSNFFN.
% 50.70/7.84 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 50.70/7.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 50.70/7.84 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 50.70/7.84 % No SInE strategy applied
% 50.70/7.84 % Search class: FGHNF-FFMM00-SFFFFFNN
% 50.70/7.84 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 50.70/7.84 % Starting SubtermCWHack with 136s (1) cores
% 50.70/7.84 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 50.70/7.84 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 50.70/7.84 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 50.70/7.84 % Preprocessing time : 0.002 s
% 50.70/7.84 % Presaturation interreduction done
% 50.70/7.84
% 50.70/7.84 % Proof found!
% 50.70/7.84 % SZS status Unsatisfiable
% 50.70/7.84 % SZS output start CNFRefutation
% See solution above
% 50.70/7.84 % Parsed axioms : 63
% 50.70/7.84 % Removed by relevancy pruning/SinE : 0
% 50.70/7.84 % Initial clauses : 63
% 50.70/7.84 % Removed in clause preprocessing : 0
% 50.70/7.84 % Initial clauses in saturation : 63
% 50.70/7.84 % Processed clauses : 8155
% 50.70/7.84 % ...of these trivial : 0
% 50.70/7.84 % ...subsumed : 2648
% 50.70/7.84 % ...remaining for further processing : 5507
% 50.70/7.84 % Other redundant clauses eliminated : 0
% 50.70/7.84 % Clauses deleted for lack of memory : 0
% 50.70/7.84 % Backward-subsumed : 2721
% 50.70/7.84 % Backward-rewritten : 204
% 50.70/7.84 % Generated clauses : 39651
% 50.70/7.84 % ...of the previous two non-redundant : 37878
% 50.70/7.84 % ...aggressively subsumed : 0
% 50.70/7.84 % Contextual simplify-reflections : 1418
% 50.70/7.84 % Paramodulations : 39583
% 50.70/7.84 % Factorizations : 0
% 50.70/7.84 % NegExts : 0
% 50.70/7.84 % Equation resolutions : 0
% 50.70/7.84 % Disequality decompositions : 0
% 50.70/7.84 % Total rewrite steps : 385
% 50.70/7.84 % ...of those cached : 377
% 50.70/7.84 % Propositional unsat checks : 0
% 50.70/7.84 % Propositional check models : 0
% 50.70/7.84 % Propositional check unsatisfiable : 0
% 50.70/7.84 % Propositional clauses : 0
% 50.70/7.84 % Propositional clauses after purity: 0
% 50.70/7.84 % Propositional unsat core size : 0
% 50.70/7.84 % Propositional preprocessing time : 0.000
% 50.70/7.84 % Propositional encoding time : 0.000
% 50.70/7.84 % Propositional solver time : 0.000
% 50.70/7.84 % Success case prop preproc time : 0.000
% 50.70/7.84 % Success case prop encoding time : 0.000
% 50.70/7.84 % Success case prop solver time : 0.000
% 50.70/7.84 % Current number of processed clauses : 2451
% 50.70/7.84 % Positive orientable unit clauses : 28
% 50.70/7.84 % Positive unorientable unit clauses: 0
% 50.70/7.84 % Negative unit clauses : 92
% 50.70/7.84 % Non-unit-clauses : 2331
% 50.70/7.84 % Current number of unprocessed clauses: 27708
% 50.70/7.84 % ...number of literals in the above : 317563
% 50.70/7.84 % Current number of archived formulas : 0
% 50.70/7.84 % Current number of archived clauses : 3056
% 50.70/7.84 % Clause-clause subsumption calls (NU) : 4951376
% 50.70/7.84 % Rec. Clause-clause subsumption calls : 101017
% 50.70/7.84 % Non-unit clause-clause subsumptions : 5544
% 50.70/7.84 % Unit Clause-clause subsumption calls : 2423
% 50.70/7.84 % Rewrite failures with RHS unbound : 0
% 50.70/7.84 % BW rewrite match attempts : 7
% 50.70/7.84 % BW rewrite match successes : 1
% 50.70/7.84 % Condensation attempts : 0
% 50.70/7.84 % Condensation successes : 0
% 50.70/7.84 % Termbank termtop insertions : 1074327
% 50.70/7.84 % Search garbage collected termcells : 92
% 50.70/7.84
% 50.70/7.84 % -------------------------------------------------
% 50.70/7.84 % User time : 6.767 s
% 50.70/7.84 % System time : 0.055 s
% 50.70/7.84 % Total time : 6.823 s
% 50.70/7.84 % Maximum resident set size: 3660 pages
% 50.70/7.84
% 50.70/7.84 % -------------------------------------------------
% 50.70/7.84 % User time : 35.505 s
% 50.70/7.84 % System time : 0.448 s
% 50.70/7.84 % Total time : 35.954 s
% 50.70/7.84 % Maximum resident set size: 5120 pages
% 50.70/7.84 % E exiting
%------------------------------------------------------------------------------