%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP128-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:38:15 PM UTC 2026
% Result : Unsatisfiable 3.73s 6.12s
% Output : CNFRefutation 3.73s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(no_redundancy,axiom,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_redundancy) ).
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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(e_6_greater_e_2,axiom,
greater(e_6,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_2) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_2) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_greater_e_2) ).
cnf(e_1_is_not_e_6,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_then_e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
cnf(product_total_function2,axiom,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
cnf(qg3,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
cnf(element_6,axiom,
group_element(e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_6) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(product_right_cancellation,axiom,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(e_6_greater_e_5,axiom,
greater(e_6,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_5) ).
cnf(e_6_greater_e_4,axiom,
greater(e_6,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_4) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_4) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_then_e_5) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_then_e_4) ).
cnf(e_6_greater_e_3,axiom,
greater(e_6,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_greater_e_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_greater_e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_greater_e_3) ).
cnf(e_4_is_not_e_6,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_6) ).
cnf(element_4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
cnf(element_3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_then_e_3) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(e_3_is_not_e_6,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_6) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(e_2_is_not_e_6,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_6) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
cnf(element_5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
cnf(e_5_is_not_e_6,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_6) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
cnf(c_0_41,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
inference(fof_simplification,[status(thm)],[no_redundancy]) ).
cnf(c_0_42,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_43,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_41 ).
cnf(c_0_44,axiom,
greater(e_6,e_2),
e_6_greater_e_2 ).
cnf(c_0_45,axiom,
greater(e_5,e_2),
e_5_greater_e_2 ).
cnf(c_0_46,axiom,
greater(e_4,e_2),
e_4_greater_e_2 ).
cnf(c_0_47,axiom,
greater(e_3,e_2),
e_3_greater_e_2 ).
cnf(c_0_48,plain,
~ equalish(e_1,e_6),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_6]) ).
cnf(c_0_49,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
inference(fof_simplification,[status(thm)],[product_left_cancellation]) ).
cnf(c_0_50,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_42 ).
cnf(c_0_51,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_52,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,axiom,
next(e_1,e_2),
e_1_then_e_2 ).
cnf(c_0_54,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_43,c_0_45]) ).
cnf(c_0_55,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_46]) ).
cnf(c_0_56,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_43,c_0_47]) ).
cnf(c_0_57,plain,
~ equalish(e_1,e_6),
c_0_48 ).
cnf(c_0_58,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_49 ).
cnf(c_0_59,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_50,c_0_51]) ).
cnf(c_0_60,plain,
~ product(e_1,e_1,e_6),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
cnf(c_0_62,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_55,c_0_53]) ).
cnf(c_0_63,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
cnf(c_0_64,plain,
~ equalish(e_2,e_1),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_1]) ).
cnf(c_0_65,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
inference(fof_simplification,[status(thm)],[product_total_function2]) ).
cnf(c_0_66,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
inference(fof_simplification,[status(thm)],[qg3]) ).
cnf(c_0_67,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_51]),c_0_60]),c_0_61]),c_0_62]),c_0_63]) ).
cnf(c_0_69,plain,
~ equalish(e_2,e_1),
c_0_64 ).
cnf(c_0_70,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_65 ).
cnf(c_0_71,negated_conjecture,
( ~ product(X3,X2,X4)
| ~ product(X1,X2,X3)
| product(X1,X3,X4) ),
c_0_66 ).
cnf(c_0_72,plain,
( ~ product(e_6,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,axiom,
group_element(e_6),
element_6 ).
cnf(c_0_75,plain,
~ equalish(e_1,e_4),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_4]) ).
cnf(c_0_76,plain,
~ equalish(e_1,e_3),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_3]) ).
cnf(c_0_77,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_6,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_78,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)
| product(e_6,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_79,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
inference(fof_simplification,[status(thm)],[product_right_cancellation]) ).
cnf(c_0_80,plain,
~ equalish(e_1,e_4),
c_0_75 ).
cnf(c_0_81,axiom,
greater(e_6,e_5),
e_6_greater_e_5 ).
cnf(c_0_82,plain,
~ equalish(e_1,e_3),
c_0_76 ).
cnf(c_0_83,axiom,
greater(e_6,e_4),
e_6_greater_e_4 ).
cnf(c_0_84,axiom,
greater(e_5,e_4),
e_5_greater_e_4 ).
cnf(c_0_85,negated_conjecture,
( ~ product(X1,e_1,e_1)
| 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)
| product(e_6,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_79 ).
cnf(c_0_87,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_58]) ).
cnf(c_0_88,plain,
( ~ next(X1,e_5)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_81]) ).
cnf(c_0_89,axiom,
next(e_4,e_5),
e_4_then_e_5 ).
cnf(c_0_90,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_58]) ).
cnf(c_0_91,plain,
( ~ next(X1,e_4)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_83]) ).
cnf(c_0_92,axiom,
next(e_3,e_4),
e_3_then_e_4 ).
cnf(c_0_93,plain,
( ~ next(X1,e_4)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_43,c_0_84]) ).
cnf(c_0_94,axiom,
greater(e_6,e_3),
e_6_greater_e_3 ).
cnf(c_0_95,axiom,
greater(e_5,e_3),
e_5_greater_e_3 ).
cnf(c_0_96,axiom,
greater(e_4,e_3),
e_4_greater_e_3 ).
cnf(c_0_97,plain,
~ equalish(e_4,e_6),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_6]) ).
cnf(c_0_98,negated_conjecture,
( 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(spm,[status(thm)],[c_0_85,c_0_78]) ).
cnf(c_0_99,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_86]) ).
cnf(c_0_100,plain,
( ~ product(e_4,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_68]) ).
cnf(c_0_101,axiom,
group_element(e_4),
element_4 ).
cnf(c_0_102,plain,
~ product(e_4,e_1,e_6),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_103,plain,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_90,c_0_68]) ).
cnf(c_0_104,axiom,
group_element(e_3),
element_3 ).
cnf(c_0_105,plain,
~ product(e_3,e_1,e_6),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_106,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_93,c_0_92]) ).
cnf(c_0_107,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_58]) ).
cnf(c_0_108,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_43,c_0_94]) ).
cnf(c_0_109,axiom,
next(e_2,e_3),
e_2_then_e_3 ).
cnf(c_0_110,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_43,c_0_95]) ).
cnf(c_0_111,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_43,c_0_96]) ).
cnf(c_0_112,plain,
~ equalish(e_4,e_6),
c_0_97 ).
cnf(c_0_113,negated_conjecture,
( ~ product(X1,e_1,e_6)
| 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_98]),c_0_99]) ).
cnf(c_0_114,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_4,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_100]),c_0_73]) ).
cnf(c_0_115,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)
| product(e_4,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_101]),c_0_102]) ).
cnf(c_0_116,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_103]),c_0_73]) ).
cnf(c_0_117,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_104]),c_0_105]),c_0_106]) ).
cnf(c_0_118,plain,
( ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_68]) ).
cnf(c_0_119,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_120,plain,
~ product(e_2,e_1,e_6),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_121,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_110,c_0_109]) ).
cnf(c_0_122,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_111,c_0_109]) ).
cnf(c_0_123,plain,
~ equalish(e_3,e_6),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_6]) ).
cnf(c_0_124,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_58]) ).
cnf(c_0_125,negated_conjecture,
( 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(spm,[status(thm)],[c_0_113,c_0_98]) ).
cnf(c_0_126,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_127,plain,
~ equalish(e_3,e_4),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_4]) ).
cnf(c_0_128,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_129,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_118]),c_0_73]) ).
cnf(c_0_130,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_119]),c_0_120]),c_0_121]),c_0_122]) ).
cnf(c_0_131,plain,
~ equalish(e_1,e_5),
inference(fof_simplification,[status(thm)],[e_1_is_not_e_5]) ).
cnf(c_0_132,plain,
~ equalish(e_3,e_6),
c_0_123 ).
cnf(c_0_133,negated_conjecture,
( ~ product(e_4,e_1,e_5)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_134,negated_conjecture,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_126,c_0_115]) ).
cnf(c_0_135,plain,
~ equalish(e_3,e_4),
c_0_127 ).
cnf(c_0_136,plain,
~ equalish(e_2,e_3),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_3]) ).
cnf(c_0_137,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_117]) ).
cnf(c_0_138,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_139,plain,
~ equalish(e_1,e_5),
c_0_131 ).
cnf(c_0_140,plain,
~ equalish(e_2,e_6),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_6]) ).
cnf(c_0_141,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_58]) ).
cnf(c_0_142,negated_conjecture,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_143,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_58]) ).
cnf(c_0_144,plain,
~ equalish(e_2,e_4),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_4]) ).
cnf(c_0_145,plain,
~ equalish(e_2,e_3),
c_0_136 ).
cnf(c_0_146,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_137]) ).
cnf(c_0_147,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_138,c_0_130]) ).
cnf(c_0_148,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_58]) ).
cnf(c_0_149,plain,
~ equalish(e_2,e_6),
c_0_140 ).
cnf(c_0_150,negated_conjecture,
( ~ 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_2)
| product(e_6,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_151,plain,
~ equalish(e_2,e_4),
c_0_144 ).
cnf(c_0_152,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_58]) ).
cnf(c_0_153,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_154,plain,
( ~ product(e_5,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_148,c_0_68]) ).
cnf(c_0_155,axiom,
group_element(e_5),
element_5 ).
cnf(c_0_156,plain,
~ equalish(e_5,e_6),
inference(fof_simplification,[status(thm)],[e_5_is_not_e_6]) ).
cnf(c_0_157,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_58]) ).
cnf(c_0_158,negated_conjecture,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| 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_150,c_0_137]) ).
cnf(c_0_159,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_58]) ).
cnf(c_0_160,plain,
~ equalish(e_4,e_5),
inference(fof_simplification,[status(thm)],[e_4_is_not_e_5]) ).
cnf(c_0_161,plain,
~ equalish(e_3,e_5),
inference(fof_simplification,[status(thm)],[e_3_is_not_e_5]) ).
cnf(c_0_162,plain,
~ equalish(e_2,e_5),
inference(fof_simplification,[status(thm)],[e_2_is_not_e_5]) ).
cnf(c_0_163,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,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_71,c_0_134]) ).
cnf(c_0_164,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_147]) ).
cnf(c_0_165,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_147]) ).
cnf(c_0_166,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_5,e_1,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_154]),c_0_73]) ).
cnf(c_0_167,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)
| product(e_5,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_59,c_0_155]) ).
cnf(c_0_168,plain,
~ equalish(e_5,e_6),
c_0_156 ).
cnf(c_0_169,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_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_152]) ).
cnf(c_0_170,plain,
~ equalish(e_4,e_5),
c_0_160 ).
cnf(c_0_171,plain,
~ equalish(e_3,e_5),
c_0_161 ).
cnf(c_0_172,plain,
~ equalish(e_2,e_5),
c_0_162 ).
cnf(c_0_173,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_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_163,c_0_137]) ).
cnf(c_0_174,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_175,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_86]) ).
cnf(c_0_176,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_177,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_6,X1,X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_58]) ).
cnf(c_0_178,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_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_169,c_0_147]) ).
cnf(c_0_179,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_58]) ).
cnf(c_0_180,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_171,c_0_58]) ).
cnf(c_0_181,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_172,c_0_58]) ).
cnf(c_0_182,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_173]),c_0_137]) ).
cnf(c_0_183,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_174]),c_0_175]) ).
cnf(c_0_184,negated_conjecture,
( 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(spm,[status(thm)],[c_0_176,c_0_167]) ).
cnf(c_0_185,negated_conjecture,
~ 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_177,c_0_178]),c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_182]),c_0_152]) ).
cnf(c_0_187,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_50,c_0_104]) ).
cnf(c_0_188,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_183,c_0_174]) ).
cnf(c_0_189,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_86]) ).
cnf(c_0_190,negated_conjecture,
( ~ product(X1,e_1,e_6)
| product(X1,e_6,e_5)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_125]) ).
cnf(c_0_191,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_5,e_1,e_6) ),
inference(sr,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_192,negated_conjecture,
( ~ product(e_5,e_1,e_5)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_177,c_0_125]) ).
cnf(c_0_193,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_186,c_0_147]) ).
cnf(c_0_194,plain,
( product(e_4,e_3,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_187,c_0_101]) ).
cnf(c_0_195,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_188]),c_0_189]) ).
cnf(c_0_196,negated_conjecture,
( product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_5,e_6,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]) ).
cnf(c_0_197,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_146,c_0_182]) ).
cnf(c_0_198,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_193]) ).
cnf(c_0_199,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_194]) ).
cnf(c_0_200,negated_conjecture,
product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_195,c_0_188]) ).
cnf(c_0_201,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_6,e_5)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_196]),c_0_180]) ).
cnf(c_0_202,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_3,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_197]) ).
cnf(c_0_203,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_198,c_0_137]) ).
cnf(c_0_204,negated_conjecture,
( product(e_4,e_3,e_6)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_205,negated_conjecture,
( product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_5,e_6,e_5)
| 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_201,c_0_137]) ).
cnf(c_0_206,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_4,e_3,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_202,c_0_137]) ).
cnf(c_0_207,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_203]),c_0_147]) ).
cnf(c_0_208,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_204]) ).
cnf(c_0_209,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_6,e_5)
| product(e_6,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_205]),c_0_181]),c_0_152]) ).
cnf(c_0_210,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_86]) ).
cnf(c_0_211,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_206]),c_0_200])]) ).
cnf(c_0_212,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_145,c_0_70]) ).
cnf(c_0_213,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_171,c_0_70]) ).
cnf(c_0_214,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_164,c_0_207]) ).
cnf(c_0_215,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_86]) ).
cnf(c_0_216,negated_conjecture,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_208,c_0_200]) ).
cnf(c_0_217,negated_conjecture,
( product(e_6,e_1,e_2)
| product(e_5,e_6,e_5)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_209,c_0_147]) ).
cnf(c_0_218,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_182]) ).
cnf(c_0_219,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_213]) ).
cnf(c_0_220,negated_conjecture,
( ~ product(e_3,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]),c_0_212]) ).
cnf(c_0_221,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_216]) ).
cnf(c_0_222,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_5,e_6,e_5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_217]),c_0_143]),c_0_159]) ).
cnf(c_0_223,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_168,c_0_86]) ).
cnf(c_0_224,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_3,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_218,c_0_137]) ).
cnf(c_0_225,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_219]),c_0_220]) ).
cnf(c_0_226,negated_conjecture,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_221,c_0_200]) ).
cnf(c_0_227,negated_conjecture,
( ~ product(X1,e_6,e_5)
| ~ product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_222]),c_0_223]) ).
cnf(c_0_228,negated_conjecture,
( product(e_4,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(sr,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_229,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_226]),c_0_200])]) ).
cnf(c_0_230,negated_conjecture,
( ~ product(X1,e_6,e_5)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_231,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_86]) ).
cnf(c_0_232,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_151,c_0_70]) ).
cnf(c_0_233,negated_conjecture,
( ~ product(X1,e_3,e_4)
| product(X1,e_4,e_3)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_229]) ).
cnf(c_0_234,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_222]),c_0_228]) ).
cnf(c_0_235,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_211]),c_0_231]) ).
cnf(c_0_236,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_3,e_4,e_5)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_207]) ).
cnf(c_0_237,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_188]),c_0_232]) ).
cnf(c_0_238,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_50,c_0_101]) ).
cnf(c_0_239,negated_conjecture,
( ~ product(X1,e_3,e_2)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_200]) ).
cnf(c_0_240,negated_conjecture,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_4,e_3,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_233,c_0_200]) ).
cnf(c_0_241,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_234]),c_0_231]) ).
cnf(c_0_242,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_235,c_0_211]) ).
cnf(c_0_243,negated_conjecture,
( product(e_3,e_4,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_147]),c_0_237]) ).
cnf(c_0_244,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)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_51]) ).
cnf(c_0_245,negated_conjecture,
( product(e_4,e_2,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_246,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_241,c_0_234]) ).
cnf(c_0_247,negated_conjecture,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_242]),c_0_243]) ).
cnf(c_0_248,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_244]),c_0_210]) ).
cnf(c_0_249,negated_conjecture,
( ~ product(X1,e_2,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_245]),c_0_215]) ).
cnf(c_0_250,negated_conjecture,
product(e_3,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_246]),c_0_247]) ).
cnf(c_0_251,negated_conjecture,
( 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(spm,[status(thm)],[c_0_248,c_0_244]) ).
cnf(c_0_252,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_249,c_0_245]) ).
cnf(c_0_253,negated_conjecture,
~ product(e_2,e_4,e_5),
inference(spm,[status(thm)],[c_0_152,c_0_250]) ).
cnf(c_0_254,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,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_71,c_0_251]) ).
cnf(c_0_255,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_256,negated_conjecture,
( ~ 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_107,c_0_251]) ).
cnf(c_0_257,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_3) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_120]),c_0_256]) ).
cnf(c_0_258,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_257]),c_0_250])]) ).
cnf(c_0_259,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_258]) ).
cnf(c_0_260,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_2,e_4,e_6) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_255]),c_0_122]) ).
cnf(c_0_261,plain,
( ~ product(e_1,e_2,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_189,c_0_68]) ).
cnf(c_0_262,negated_conjecture,
( ~ product(X1,e_4,e_1)
| product(X1,e_1,e_3)
| product(e_2,e_4,e_6)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_260]) ).
cnf(c_0_263,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_70]) ).
cnf(c_0_264,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_261]) ).
cnf(c_0_265,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_255]) ).
cnf(c_0_266,negated_conjecture,
( product(e_2,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_262,c_0_255]) ).
cnf(c_0_267,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_261]),c_0_263]),c_0_264]) ).
cnf(c_0_268,negated_conjecture,
( ~ product(e_2,e_4,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_210,c_0_147]) ).
cnf(c_0_269,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_3)
| product(e_2,e_1,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).
cnf(c_0_270,negated_conjecture,
( ~ product(X1,e_1,e_2)
| ~ product(e_2,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_268]),c_0_189]) ).
cnf(c_0_271,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_269]),c_0_270]) ).
cnf(c_0_272,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_132,c_0_70]) ).
cnf(c_0_273,plain,
( product(e_6,e_4,e_6)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_74]) ).
cnf(c_0_274,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_268]),c_0_272]) ).
cnf(c_0_275,plain,
( ~ product(e_2,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_157,c_0_273]) ).
cnf(c_0_276,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_6) ),
inference(sr,[status(thm)],[c_0_255,c_0_274]) ).
cnf(c_0_277,plain,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_238,c_0_155]) ).
cnf(c_0_278,negated_conjecture,
( product(e_6,e_4,e_6)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_279,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_86]) ).
cnf(c_0_280,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_5)
| product(e_5,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_181,c_0_277]) ).
cnf(c_0_281,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(X1,e_5,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_71,c_0_191]) ).
cnf(c_0_282,negated_conjecture,
( ~ product(X1,e_4,e_6)
| product(e_2,e_4,e_6)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_278]),c_0_279]) ).
cnf(c_0_283,negated_conjecture,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_280,c_0_276]) ).
cnf(c_0_284,negated_conjecture,
( ~ product(X1,e_4,e_3)
| product(X1,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_250]) ).
cnf(c_0_285,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_6,e_5,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_125]),c_0_192]) ).
cnf(c_0_286,negated_conjecture,
( product(e_6,e_4,e_5)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_282,c_0_278]) ).
cnf(c_0_287,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_6)
| 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)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_283]) ).
cnf(c_0_288,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_4,e_6)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_284,c_0_260]) ).
cnf(c_0_289,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_5,e_6)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_285]),c_0_180]) ).
cnf(c_0_290,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_286]),c_0_250])]) ).
cnf(c_0_291,negated_conjecture,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_287,c_0_250]) ).
cnf(c_0_292,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_2,e_4,e_3)
| product(e_1,e_3,e_5) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_288]),c_0_267]) ).
cnf(c_0_293,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_6,e_5,e_6)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_289,c_0_137]) ).
cnf(c_0_294,negated_conjecture,
( ~ product(e_5,e_4,e_4)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_177,c_0_290]) ).
cnf(c_0_295,negated_conjecture,
( product(e_3,e_5,e_6)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_291]),c_0_250])]) ).
cnf(c_0_296,negated_conjecture,
( product(e_1,e_3,e_5)
| product(e_2,e_4,e_6) ),
inference(sr,[status(thm)],[c_0_292,c_0_274]) ).
cnf(c_0_297,negated_conjecture,
( product(e_2,e_1,e_3)
| product(e_2,e_4,e_6) ),
inference(sr,[status(thm)],[c_0_269,c_0_274]) ).
cnf(c_0_298,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_6,e_1,e_2)
| product(e_6,e_5,e_6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_293]),c_0_181]),c_0_152]) ).
cnf(c_0_299,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_300,negated_conjecture,
( ~ product(e_6,e_3,e_5)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_67,c_0_296]) ).
cnf(c_0_301,negated_conjecture,
( ~ product(X1,e_1,e_2)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_297]) ).
cnf(c_0_302,negated_conjecture,
( product(e_6,e_5,e_6)
| product(e_6,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_298,c_0_297]) ).
cnf(c_0_303,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_86]) ).
cnf(c_0_304,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_276]) ).
cnf(c_0_305,negated_conjecture,
( product(e_3,e_5,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_299]),c_0_300]) ).
cnf(c_0_306,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_6,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_6,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_307,plain,
( ~ product(e_1,e_5,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_303,c_0_68]) ).
cnf(c_0_308,plain,
( product(e_5,e_3,e_6)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_187,c_0_155]) ).
cnf(c_0_309,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_6,e_2,e_1)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
cnf(c_0_310,negated_conjecture,
( ~ product(X1,e_5,e_6)
| product(e_3,e_1,e_2)
| product(e_6,e_2,e_3)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_306]),c_0_223]) ).
cnf(c_0_311,plain,
( ~ product(e_1,e_5,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_307]) ).
cnf(c_0_312,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(X1,e_5,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_308]) ).
cnf(c_0_313,negated_conjecture,
( ~ product(e_5,e_3,e_5)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_148,c_0_296]) ).
cnf(c_0_314,negated_conjecture,
( ~ product(e_6,e_2,e_3)
| product(e_3,e_5,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_263,c_0_309]) ).
cnf(c_0_315,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_6,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_310,c_0_306]) ).
cnf(c_0_316,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(sr,[status(thm)],[c_0_260,c_0_274]) ).
cnf(c_0_317,negated_conjecture,
( ~ product(e_1,e_5,e_1)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_307]),c_0_311]) ).
cnf(c_0_318,negated_conjecture,
( product(e_5,e_3,e_6)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_1)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_296]),c_0_313]) ).
cnf(c_0_319,plain,
( ~ product(e_1,e_5,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_210,c_0_307]) ).
cnf(c_0_320,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_6)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_321,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_1,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_215,c_0_316]) ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_2,e_4,e_6)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_6) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_323,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_6) ),
inference(spm,[status(thm)],[c_0_319,c_0_318]) ).
cnf(c_0_324,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_6)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_320]),c_0_313]) ).
cnf(c_0_325,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,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_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_295]) ).
cnf(c_0_326,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_5,e_3,e_6)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_323]) ).
cnf(c_0_327,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_6)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_324]) ).
cnf(c_0_328,negated_conjecture,
( product(e_3,e_5,e_6)
| product(e_2,e_4,e_6)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_325,c_0_250]) ).
cnf(c_0_329,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(X1,e_5,e_6)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_326]) ).
cnf(c_0_330,negated_conjecture,
( product(e_3,e_1,e_2)
| product(e_3,e_5,e_6)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_327,c_0_250]) ).
cnf(c_0_331,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_328]),c_0_313]) ).
cnf(c_0_332,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_50,c_0_155]) ).
cnf(c_0_333,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_1,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_329,c_0_296]) ).
cnf(c_0_334,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_330]) ).
cnf(c_0_335,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_2)
| product(e_3,e_5,e_6)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_331]) ).
cnf(c_0_336,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_86]) ).
cnf(c_0_337,plain,
( product(e_2,e_5,e_6)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_332,c_0_119]) ).
cnf(c_0_338,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_303,c_0_147]) ).
cnf(c_0_339,negated_conjecture,
( ~ product(e_3,e_5,e_6)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_90,c_0_333]) ).
cnf(c_0_340,negated_conjecture,
( product(e_3,e_5,e_6)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_297]),c_0_237]) ).
cnf(c_0_341,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_6)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_335,c_0_250]) ).
cnf(c_0_342,plain,
( ~ product(e_2,e_4,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_336,c_0_337]) ).
cnf(c_0_343,negated_conjecture,
( ~ product(e_2,e_5,e_3)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_271,c_0_338]) ).
cnf(c_0_344,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_345,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_6) ),
inference(spm,[status(thm)],[c_0_112,c_0_70]) ).
cnf(c_0_346,negated_conjecture,
( ~ product(e_2,e_5,e_6)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_341]),c_0_336]) ).
cnf(c_0_347,negated_conjecture,
( product(e_2,e_5,e_6)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_276]),c_0_343]) ).
cnf(c_0_348,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_2,e_4,e_6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_344]),c_0_200])]) ).
cnf(c_0_349,negated_conjecture,
( ~ product(e_3,e_5,e_4)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_340]),c_0_232]) ).
cnf(c_0_350,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_351,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(X1,e_5,e_3)
| product(e_2,e_4,e_6)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_348]) ).
cnf(c_0_352,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(X1,e_2,e_6)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_347]) ).
cnf(c_0_353,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_349,c_0_350]) ).
cnf(c_0_354,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_4,e_6)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_351,c_0_296]) ).
cnf(c_0_355,negated_conjecture,
( ~ product(X1,e_2,e_6)
| product(X1,e_6,e_3)
| product(e_3,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_315]) ).
cnf(c_0_356,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_4,e_6)
| product(e_3,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_357,negated_conjecture,
( ~ product(e_1,e_4,e_3)
| product(e_2,e_4,e_6)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_336,c_0_354]) ).
cnf(c_0_358,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_3,e_1,e_2)
| product(e_3,e_6,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_355,c_0_356]) ).
cnf(c_0_359,negated_conjecture,
( product(e_3,e_5,e_2)
| product(e_5,e_3,e_2)
| product(e_2,e_4,e_6)
| product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_357,c_0_316]) ).
cnf(c_0_360,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_277]) ).
cnf(c_0_361,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_3,e_6,e_3)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_358]),c_0_353]) ).
cnf(c_0_362,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_6,X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_86]) ).
cnf(c_0_363,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_5,e_3,e_2)
| product(e_3,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_359]),c_0_267]) ).
cnf(c_0_364,negated_conjecture,
( product(e_5,e_4,e_6)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_360,c_0_250]) ).
cnf(c_0_365,negated_conjecture,
( ~ product(X1,e_6,e_3)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_361]),c_0_362]) ).
cnf(c_0_366,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(X1,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_363]) ).
cnf(c_0_367,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_6)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_364]) ).
cnf(c_0_368,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_365,c_0_361]) ).
cnf(c_0_369,negated_conjecture,
( product(e_2,e_4,e_6)
| product(e_3,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_366,c_0_296]) ).
cnf(c_0_370,negated_conjecture,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_367,c_0_250]) ).
cnf(c_0_371,negated_conjecture,
( ~ product(X1,e_5,e_2)
| product(X1,e_2,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_368]) ).
cnf(c_0_372,negated_conjecture,
( ~ product(e_1,e_2,e_5)
| product(e_2,e_4,e_6) ),
inference(spm,[status(thm)],[c_0_175,c_0_296]) ).
cnf(c_0_373,negated_conjecture,
( ~ product(e_2,e_5,e_2)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_369]),c_0_152]) ).
cnf(c_0_374,negated_conjecture,
( product(e_3,e_5,e_6)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_370]),c_0_250])]) ).
cnf(c_0_375,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_6)
| product(e_3,e_5,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_369]),c_0_372]),c_0_373]) ).
cnf(c_0_376,negated_conjecture,
~ product(e_3,e_2,e_5),
inference(spm,[status(thm)],[c_0_215,c_0_250]) ).
cnf(c_0_377,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_374]) ).
cnf(c_0_378,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_171,c_0_86]) ).
cnf(c_0_379,negated_conjecture,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_6) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_375]),c_0_376]),c_0_373]) ).
cnf(c_0_380,negated_conjecture,
( product(e_3,e_5,e_6)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_377,c_0_250]) ).
cnf(c_0_381,negated_conjecture,
( ~ product(e_2,e_4,e_6)
| product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_181,c_0_364]) ).
cnf(c_0_382,negated_conjecture,
product(e_2,e_4,e_6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_200])]) ).
cnf(c_0_383,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_284,c_0_380]) ).
cnf(c_0_384,negated_conjecture,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_382])]) ).
cnf(c_0_385,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_2)
| product(e_3,e_5,e_6)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_5,e_3,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_383]) ).
cnf(c_0_386,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_384]),c_0_250])]) ).
cnf(c_0_387,negated_conjecture,
( product(e_5,e_3,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_6)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_385,c_0_250]) ).
cnf(c_0_388,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_386]) ).
cnf(c_0_389,negated_conjecture,
( ~ product(X1,e_3,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_6)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_387]),c_0_378]) ).
cnf(c_0_390,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_388,c_0_250]) ).
cnf(c_0_391,negated_conjecture,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_6)
| product(e_3,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_389,c_0_387]) ).
cnf(c_0_392,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_70]) ).
cnf(c_0_393,negated_conjecture,
( ~ product(X1,e_4,e_5)
| product(X1,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_390]) ).
cnf(c_0_394,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_391]),c_0_392]),c_0_272]),c_0_212]) ).
cnf(c_0_395,negated_conjecture,
( ~ product(X1,e_4,e_2)
| product(X1,e_2,e_6) ),
inference(spm,[status(thm)],[c_0_71,c_0_382]) ).
cnf(c_0_396,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_5,e_4,e_2)
| product(e_3,e_5,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_250]),c_0_394]) ).
cnf(c_0_397,negated_conjecture,
( ~ 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_189,c_0_191]) ).
cnf(c_0_398,negated_conjecture,
( product(e_5,e_2,e_6)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_395,c_0_396]) ).
cnf(c_0_399,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_397,c_0_398]) ).
cnf(c_0_400,negated_conjecture,
( ~ product(X1,e_1,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_399]),c_0_303]) ).
cnf(c_0_401,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_400,c_0_399]) ).
cnf(c_0_402,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_5,e_1)
| product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_401]),c_0_303]) ).
cnf(c_0_403,negated_conjecture,
( product(e_5,e_1,e_3)
| product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_402,c_0_137]) ).
cnf(c_0_404,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_146,c_0_403]) ).
cnf(c_0_405,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_403]),c_0_152]) ).
cnf(c_0_406,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)
| product(e_1,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_332,c_0_51]) ).
cnf(c_0_407,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_404]),c_0_200])]) ).
cnf(c_0_408,negated_conjecture,
( 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_405,c_0_147]) ).
cnf(c_0_409,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_406]),c_0_303]) ).
cnf(c_0_410,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_5,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_407]),c_0_231]) ).
cnf(c_0_411,negated_conjecture,
( ~ product(X1,e_1,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_5,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_408]) ).
cnf(c_0_412,negated_conjecture,
( 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(spm,[status(thm)],[c_0_409,c_0_406]) ).
cnf(c_0_413,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_410,c_0_407]) ).
cnf(c_0_414,negated_conjecture,
( product(e_3,e_5,e_1)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_147]),c_0_237]) ).
cnf(c_0_415,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_6)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_412]) ).
cnf(c_0_416,negated_conjecture,
product(e_3,e_5,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_413]),c_0_414]) ).
cnf(c_0_417,negated_conjecture,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_416]),c_0_105]) ).
cnf(c_0_418,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_417]) ).
cnf(c_0_419,negated_conjecture,
( 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_418,c_0_416]),c_0_106]) ).
cnf(c_0_420,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_419]) ).
cnf(c_0_421,negated_conjecture,
( ~ product(X1,e_5,e_3)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_416]) ).
cnf(c_0_422,negated_conjecture,
( product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_420,c_0_416]) ).
cnf(c_0_423,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_421,c_0_422]) ).
cnf(c_0_424,plain,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_231,c_0_68]) ).
cnf(c_0_425,negated_conjecture,
( ~ product(X1,e_5,e_1)
| product(X1,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_423]) ).
cnf(c_0_426,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_4,e_5)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_163,c_0_142]) ).
cnf(c_0_427,negated_conjecture,
( ~ product(X1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_424]),c_0_73]) ).
cnf(c_0_428,negated_conjecture,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_425,c_0_416]) ).
cnf(c_0_429,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_6,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_67,c_0_424]) ).
cnf(c_0_430,negated_conjecture,
( ~ product(e_2,e_1,e_3)
| product(e_6,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_426]),c_0_159]) ).
cnf(c_0_431,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_87,c_0_424]) ).
cnf(c_0_432,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_424]) ).
cnf(c_0_433,negated_conjecture,
( ~ product(X1,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_427,c_0_428]) ).
cnf(c_0_434,negated_conjecture,
( ~ product(e_6,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_428]),c_0_141]) ).
cnf(c_0_435,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_6,e_4,e_5)
| product(e_6,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_430,c_0_147]) ).
cnf(c_0_436,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_428]),c_0_143]) ).
cnf(c_0_437,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_428]),c_0_152]) ).
cnf(c_0_438,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_172,c_0_86]) ).
cnf(c_0_439,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_424]),c_0_432]) ).
cnf(c_0_440,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_433,c_0_68]) ).
cnf(c_0_441,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_6,e_4,e_5)
| product(e_4,e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_436]),c_0_437]) ).
cnf(c_0_442,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_50,c_0_119]) ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_4)
| product(e_1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_438,c_0_422]) ).
cnf(c_0_444,negated_conjecture,
( product(e_1,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_439,c_0_428]) ).
cnf(c_0_445,negated_conjecture,
( ~ product(e_1,e_5,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_303,c_0_440]) ).
cnf(c_0_446,negated_conjecture,
( product(e_6,e_5,e_6)
| product(e_6,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_298,c_0_147]) ).
cnf(c_0_447,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_441]),c_0_250])]) ).
cnf(c_0_448,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_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_442,c_0_104]) ).
cnf(c_0_449,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_444]),c_0_445]) ).
cnf(c_0_450,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_2,e_3)
| product(e_3,e_1,e_2)
| product(e_6,e_5,e_6) ),
inference(spm,[status(thm)],[c_0_164,c_0_446]) ).
cnf(c_0_451,negated_conjecture,
( ~ product(X1,e_1,e_4)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_447]),c_0_210]) ).
cnf(c_0_452,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_6) ),
inference(sr,[status(thm)],[c_0_448,c_0_376]) ).
cnf(c_0_453,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(spm,[status(thm)],[c_0_438,c_0_416]) ).
cnf(c_0_454,negated_conjecture,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_189,c_0_449]) ).
cnf(c_0_455,negated_conjecture,
( ~ product(e_2,e_1,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_189,c_0_437]) ).
cnf(c_0_456,negated_conjecture,
( ~ product(X1,e_5,e_6)
| product(e_3,e_1,e_2)
| product(e_6,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_450]),c_0_223]) ).
cnf(c_0_457,negated_conjecture,
product(e_3,e_1,e_4),
inference(spm,[status(thm)],[c_0_451,c_0_447]) ).
cnf(c_0_458,plain,
( product(e_3,e_2,e_6)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(sr,[status(thm)],[c_0_452,c_0_453]) ).
cnf(c_0_459,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_454]),c_0_392]),c_0_455]) ).
cnf(c_0_460,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_456,c_0_450]) ).
cnf(c_0_461,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(spm,[status(thm)],[c_0_232,c_0_457]) ).
cnf(c_0_462,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_6) ),
inference(sr,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_463,negated_conjecture,
( product(e_6,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_460,c_0_461]) ).
cnf(c_0_464,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_6)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_462]) ).
cnf(c_0_465,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_141,c_0_463]) ).
cnf(c_0_466,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_6,e_3,e_6)
| product(e_2,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_463]),c_0_465]) ).
cnf(c_0_467,negated_conjecture,
( ~ product(X1,e_3,e_6)
| product(e_2,e_1,e_2)
| product(e_3,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_466]),c_0_362]) ).
cnf(c_0_468,negated_conjecture,
( product(e_3,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_467,c_0_466]) ).
cnf(c_0_469,negated_conjecture,
( ~ product(X1,e_2,e_3)
| product(X1,e_3,e_2)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_468]) ).
cnf(c_0_470,negated_conjecture,
( product(e_2,e_1,e_2)
| product(e_6,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_469,c_0_463]) ).
cnf(c_0_471,negated_conjecture,
( product(e_6,e_2,e_4)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_239,c_0_470]) ).
cnf(c_0_472,negated_conjecture,
product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_471]),c_0_463]) ).
cnf(c_0_473,negated_conjecture,
~ product(X1,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_472]),c_0_189]) ).
cnf(c_0_474,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_472,c_0_473]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP128-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.55 % Computer : n006.cluster.edu
% 0.09/5.55 % Model : x86_64 x86_64
% 0.09/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.55 % Memory : 8046.5625MB
% 0.09/5.55 % OS : Linux 6.8.0-71-generic
% 0.09/5.55 % CPULimit : 300
% 0.09/5.55 % WCLimit : 300
% 0.09/5.55 % DateTime : Sun Sep 20 20:00:33 UTC 2026
% 0.09/5.55 % CPUTime :
% 0.09/5.55 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.59 Running first-order theorem proving
% 0.09/5.59 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 3.73/6.12 % Version: 3.5.1
% 3.73/6.12 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.73/6.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.73/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.73/6.12 % Starting new_bool_3 with 300s (1) cores
% 3.73/6.12 % Starting new_bool_1 with 300s (1) cores
% 3.73/6.12 % Starting sh5l with 300s (1) cores
% 3.73/6.12 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1139053 completed with status 0
% 3.73/6.12 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.73/6.12 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.73/6.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.73/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.73/6.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.73/6.12 % No SInE strategy applied
% 3.73/6.12 % Search class: FGHNF-FFMM00-SFFFFFNN
% 3.73/6.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.73/6.12 % Starting SubtermCWHack with 136s (1) cores
% 3.73/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.73/6.12 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 3.73/6.12 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 3.73/6.12 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.73/6.12 % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1139060 completed with status 0
% 3.73/6.12 % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 3.73/6.12 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.73/6.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.73/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.73/6.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.73/6.12 % No SInE strategy applied
% 3.73/6.12 % Search class: FGHNF-FFMM00-SFFFFFNN
% 3.73/6.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.73/6.12 % Starting SubtermCWHack with 136s (1) cores
% 3.73/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.73/6.12 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 3.73/6.12 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 3.73/6.12 % Preprocessing time : 0.002 s
% 3.73/6.12 % Presaturation interreduction done
% 3.73/6.12
% 3.73/6.12 % Proof found!
% 3.73/6.12 % SZS status Unsatisfiable
% 3.73/6.12 % SZS output start CNFRefutation
% See solution above
% 3.73/6.12 % Parsed axioms : 62
% 3.73/6.12 % Removed by relevancy pruning/SinE : 0
% 3.73/6.12 % Initial clauses : 62
% 3.73/6.12 % Removed in clause preprocessing : 0
% 3.73/6.12 % Initial clauses in saturation : 62
% 3.73/6.12 % Processed clauses : 3182
% 3.73/6.12 % ...of these trivial : 2
% 3.73/6.12 % ...subsumed : 825
% 3.73/6.12 % ...remaining for further processing : 2355
% 3.73/6.12 % Other redundant clauses eliminated : 0
% 3.73/6.12 % Clauses deleted for lack of memory : 0
% 3.73/6.12 % Backward-subsumed : 1373
% 3.73/6.12 % Backward-rewritten : 312
% 3.73/6.12 % Generated clauses : 5136
% 3.73/6.12 % ...of the previous two non-redundant : 4603
% 3.73/6.12 % ...aggressively subsumed : 0
% 3.73/6.12 % Contextual simplify-reflections : 425
% 3.73/6.12 % Paramodulations : 5080
% 3.73/6.12 % Factorizations : 0
% 3.73/6.12 % NegExts : 0
% 3.73/6.12 % Equation resolutions : 0
% 3.73/6.12 % Disequality decompositions : 0
% 3.73/6.12 % Total rewrite steps : 336
% 3.73/6.12 % ...of those cached : 330
% 3.73/6.12 % Propositional unsat checks : 0
% 3.73/6.12 % Propositional check models : 0
% 3.73/6.12 % Propositional check unsatisfiable : 0
% 3.73/6.12 % Propositional clauses : 0
% 3.73/6.12 % Propositional clauses after purity: 0
% 3.73/6.12 % Propositional unsat core size : 0
% 3.73/6.12 % Propositional preprocessing time : 0.000
% 3.73/6.12 % Propositional encoding time : 0.000
% 3.73/6.12 % Propositional solver time : 0.000
% 3.73/6.12 % Success case prop preproc time : 0.000
% 3.73/6.12 % Success case prop encoding time : 0.000
% 3.73/6.12 % Success case prop solver time : 0.000
% 3.73/6.12 % Current number of processed clauses : 552
% 3.73/6.12 % Positive orientable unit clauses : 31
% 3.73/6.12 % Positive unorientable unit clauses: 0
% 3.73/6.12 % Negative unit clauses : 87
% 3.73/6.12 % Non-unit-clauses : 434
% 3.73/6.12 % Current number of unprocessed clauses: 1055
% 3.73/6.12 % ...number of literals in the above : 8410
% 3.73/6.12 % Current number of archived formulas : 0
% 3.73/6.12 % Current number of archived clauses : 1803
% 3.73/6.12 % Clause-clause subsumption calls (NU) : 280601
% 3.73/6.12 % Rec. Clause-clause subsumption calls : 78406
% 3.73/6.12 % Non-unit clause-clause subsumptions : 1847
% 3.73/6.12 % Unit Clause-clause subsumption calls : 3351
% 3.73/6.12 % Rewrite failures with RHS unbound : 0
% 3.73/6.12 % BW rewrite match attempts : 36
% 3.73/6.12 % BW rewrite match successes : 6
% 3.73/6.12 % Condensation attempts : 0
% 3.73/6.12 % Condensation successes : 0
% 3.73/6.12 % Termbank termtop insertions : 68614
% 3.73/6.12 % Search garbage collected termcells : 92
% 3.73/6.12
% 3.73/6.12 % -------------------------------------------------
% 3.73/6.12 % User time : 0.493 s
% 3.73/6.12 % System time : 0.006 s
% 3.73/6.12 % Total time : 0.499 s
% 3.73/6.12 % Maximum resident set size: 3660 pages
% 3.73/6.12
% 3.73/6.12 % -------------------------------------------------
% 3.73/6.12 % User time : 2.430 s
% 3.73/6.12 % System time : 0.045 s
% 3.73/6.12 % Total time : 2.476 s
% 3.73/6.12 % Maximum resident set size: 4864 pages
% 3.73/6.12 % E exiting
%------------------------------------------------------------------------------