TSTP Solution File: GRP127-2.005 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP127-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:38:15 EDT 2023
% Result : Timeout 410.48s 300.29s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named product_total_function1)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_46,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_47,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_48,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_49,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_50,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_51,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_52,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_53,plain,
( product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_54,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_55,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_50,c_0_51]),
[final] ).
cnf(c_0_56,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_57,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_58,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_59,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_60,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_52]),
[final] ).
cnf(c_0_62,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_63,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_64,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_47]),
[final] ).
cnf(c_0_65,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_47]),
[final] ).
cnf(c_0_67,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_68,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_62,c_0_63]),
[final] ).
cnf(c_0_69,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_64,c_0_51]),
[final] ).
cnf(c_0_70,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_71,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_72,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_73,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_74,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_77,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_78,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_70]),
[final] ).
cnf(c_0_79,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_80,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_56,c_0_71]),
[final] ).
cnf(c_0_81,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_47]),
[final] ).
cnf(c_0_82,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
qg3,
[final] ).
cnf(c_0_83,plain,
( product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_54]),
[final] ).
cnf(c_0_84,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_73]),
[final] ).
cnf(c_0_85,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_86,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_47]),
[final] ).
cnf(c_0_88,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_47]),
[final] ).
cnf(c_0_89,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_90,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_78,c_0_79]),
[final] ).
cnf(c_0_91,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_80,c_0_79]),
[final] ).
cnf(c_0_92,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_81,c_0_51]),
[final] ).
cnf(c_0_93,negated_conjecture,
( product(X1,X1,X2)
| ~ product(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_51]),
[final] ).
cnf(c_0_95,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_84,c_0_85]),
[final] ).
cnf(c_0_98,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_52]),
[final] ).
cnf(c_0_99,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_100,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_103,plain,
( product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_89]),
[final] ).
cnf(c_0_104,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_98,c_0_51]),
[final] ).
cnf(c_0_105,plain,
( product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_99]),
[final] ).
cnf(c_0_106,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_100]),
[final] ).
cnf(c_0_107,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_52]),
[final] ).
cnf(c_0_113,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_106,c_0_85]),
[final] ).
cnf(c_0_114,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_117,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_118,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_120,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_52]),
[final] ).
cnf(c_0_122,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_52]),
[final] ).
cnf(c_0_123,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_47]),
[final] ).
cnf(c_0_127,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_47]),
[final] ).
cnf(c_0_128,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_52]),
[final] ).
cnf(c_0_129,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_132,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_127,c_0_51]),
[final] ).
cnf(c_0_135,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_86,c_0_51]),
[final] ).
cnf(c_0_138,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_120,c_0_51]),
[final] ).
cnf(c_0_139,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_123,c_0_51]),
[final] ).
cnf(c_0_140,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_47]),
[final] ).
cnf(c_0_141,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_47]),
[final] ).
cnf(c_0_144,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_133]),c_0_51])]),
[final] ).
cnf(c_0_146,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_136]),c_0_51])]),
[final] ).
cnf(c_0_149,plain,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_102]),c_0_141]),c_0_127]),
[final] ).
cnf(c_0_153,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_122,c_0_51]),
[final] ).
cnf(c_0_157,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_128,c_0_51]),
[final] ).
cnf(c_0_181,plain,
( product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_67]),
[final] ).
cnf(c_0_182,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_52]),
[final] ).
cnf(c_0_187,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_182,c_0_51]),
[final] ).
cnf(c_0_192,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_52]),
[final] ).
cnf(c_0_197,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_192,c_0_51]),
[final] ).
cnf(c_0_214,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_211]),c_0_51])]),
[final] ).
cnf(c_0_216,negated_conjecture,
product(e_3,e_4,e_1),
inference(sr,[status(thm)],[c_0_213,c_0_214]),
[final] ).
cnf(c_0_218,plain,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_88,c_0_51]),
[final] ).
cnf(c_0_220,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_222,negated_conjecture,
( product(e_1,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_216]),
[final] ).
cnf(c_0_224,negated_conjecture,
~ product(e_2,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_219]),c_0_51])]),
[final] ).
cnf(c_0_225,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_220]),
[final] ).
cnf(c_0_227,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_222]),c_0_113]),
[final] ).
cnf(c_0_229,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_212]),
[final] ).
cnf(c_0_235,plain,
~ product(e_3,e_5,e_5),
inference(spm,[status(thm)],[c_0_65,c_0_51]),
[final] ).
cnf(c_0_237,plain,
~ product(e_4,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_233]),c_0_51])]),
[final] ).
cnf(c_0_249,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_52]),
[final] ).
cnf(c_0_267,plain,
~ product(e_4,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_263]),c_0_51])]),
[final] ).
cnf(c_0_268,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_52]),
[final] ).
cnf(c_0_286,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_280]),c_0_51])]),
[final] ).
cnf(c_0_291,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_285]),c_0_286]),
[final] ).
cnf(c_0_296,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_220]),
[final] ).
cnf(c_0_297,negated_conjecture,
product(e_2,e_3,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_290]),c_0_291]),
[final] ).
cnf(c_0_303,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_296,c_0_297]),
[final] ).
cnf(c_0_310,negated_conjecture,
product(e_4,e_5,e_1),
inference(sr,[status(thm)],[c_0_265,c_0_303]),
[final] ).
cnf(c_0_311,negated_conjecture,
product(e_5,e_3,e_4),
inference(sr,[status(thm)],[c_0_304,c_0_303]),
[final] ).
cnf(c_0_312,negated_conjecture,
product(e_1,e_3,e_5),
inference(sr,[status(thm)],[c_0_258,c_0_303]),
[final] ).
cnf(c_0_313,negated_conjecture,
product(e_2,e_4,e_5),
inference(sr,[status(thm)],[c_0_251,c_0_303]),
[final] ).
cnf(c_0_314,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[c_0_305,c_0_303]),
[final] ).
cnf(c_0_315,negated_conjecture,
product(e_5,e_2,e_1),
inference(sr,[status(thm)],[c_0_292,c_0_303]),
[final] ).
cnf(c_0_316,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[c_0_281,c_0_303]),
[final] ).
cnf(c_0_317,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[c_0_274,c_0_303]),
[final] ).
cnf(c_0_322,negated_conjecture,
( product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_310]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_311]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_312]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_313]),
[final] ).
cnf(c_0_326,negated_conjecture,
( product(e_1,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_297]),
[final] ).
cnf(c_0_327,negated_conjecture,
( product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_314]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_315]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_316]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_317]),
[final] ).
cnf(c_0_333,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_74,c_0_220]),
[final] ).
cnf(c_0_336,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_337,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_120,c_0_322]),
[final] ).
cnf(c_0_338,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_249,c_0_322]),
[final] ).
cnf(c_0_339,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_322]),
[final] ).
cnf(c_0_340,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_268,c_0_323]),
[final] ).
cnf(c_0_341,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_268,c_0_324]),
[final] ).
cnf(c_0_342,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_182,c_0_325]),
[final] ).
cnf(c_0_343,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_122,c_0_325]),
[final] ).
cnf(c_0_344,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_268,c_0_326]),
[final] ).
cnf(c_0_345,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_122,c_0_222]),
[final] ).
cnf(c_0_346,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_182,c_0_222]),
[final] ).
cnf(c_0_347,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_327]),
[final] ).
cnf(c_0_348,negated_conjecture,
product(e_2,e_5,e_4),
inference(sr,[status(thm)],[c_0_259,c_0_303]),
[final] ).
cnf(c_0_349,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_328]),
[final] ).
cnf(c_0_350,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_329]),
[final] ).
cnf(c_0_351,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_330]),
[final] ).
cnf(c_0_352,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_288,c_0_303]),
[final] ).
cnf(c_0_353,negated_conjecture,
( product(X1,e_5,X2)
| ~ product(e_5,X2,e_1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_322]),
[final] ).
cnf(c_0_354,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_4)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_323]),
[final] ).
cnf(c_0_355,negated_conjecture,
product(e_3,e_1,e_4),
inference(sr,[status(thm)],[c_0_306,c_0_303]),
[final] ).
cnf(c_0_356,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_5)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_324]),
[final] ).
cnf(c_0_357,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_4,X2,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_325]),
[final] ).
cnf(c_0_358,negated_conjecture,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_331,c_0_303]),
[final] ).
cnf(c_0_359,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_326]),
[final] ).
cnf(c_0_360,negated_conjecture,
product(e_1,e_5,e_3),
inference(sr,[status(thm)],[c_0_319,c_0_303]),
[final] ).
cnf(c_0_361,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_4,X2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_222]),
[final] ).
cnf(c_0_362,negated_conjecture,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[c_0_262,c_0_303]),
[final] ).
cnf(c_0_363,negated_conjecture,
product(e_3,e_5,e_2),
inference(sr,[status(thm)],[c_0_252,c_0_303]),
[final] ).
cnf(c_0_364,negated_conjecture,
product(e_1,e_4,e_2),
inference(sr,[status(thm)],[c_0_301,c_0_303]),
[final] ).
cnf(c_0_365,negated_conjecture,
product(e_5,e_4,e_3),
inference(sr,[status(thm)],[c_0_256,c_0_303]),
[final] ).
cnf(c_0_366,plain,
product(e_4,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_332]),c_0_51])]),
[final] ).
cnf(c_0_367,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_368,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_369,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_370,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_371,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_129,c_0_220]),
[final] ).
cnf(c_0_372,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_220]),
[final] ).
cnf(c_0_373,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_220]),
[final] ).
cnf(c_0_374,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_220]),
[final] ).
cnf(c_0_375,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_72,c_0_220]),
[final] ).
cnf(c_0_376,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_59,c_0_220]),
[final] ).
cnf(c_0_378,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_50,c_0_222]),
[final] ).
cnf(c_0_380,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_220]),
[final] ).
cnf(c_0_384,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_56,c_0_336]),
[final] ).
cnf(c_0_385,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_337,c_0_222]),
[final] ).
cnf(c_0_386,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_338,c_0_326]),
[final] ).
cnf(c_0_387,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_339,c_0_328]),
[final] ).
cnf(c_0_388,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_340,c_0_327]),
[final] ).
cnf(c_0_389,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_341,c_0_329]),
[final] ).
cnf(c_0_390,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_342,c_0_324]),
[final] ).
cnf(c_0_391,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_343,c_0_329]),
[final] ).
cnf(c_0_392,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_344,c_0_328]),
[final] ).
cnf(c_0_393,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_141,c_0_327]),
[final] ).
cnf(c_0_394,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_127,c_0_327]),
[final] ).
cnf(c_0_395,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_345,c_0_328]),
[final] ).
cnf(c_0_396,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_123,c_0_328]),
[final] ).
cnf(c_0_397,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_50,c_0_328]),
[final] ).
cnf(c_0_398,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_81,c_0_328]),
[final] ).
cnf(c_0_399,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_64,c_0_328]),
[final] ).
cnf(c_0_400,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_140,c_0_329]),
[final] ).
cnf(c_0_401,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_329]),
[final] ).
cnf(c_0_402,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_86,c_0_329]),
[final] ).
cnf(c_0_403,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_88,c_0_330]),
[final] ).
cnf(c_0_404,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_123,c_0_322]),
[final] ).
cnf(c_0_405,negated_conjecture,
( ~ product(e_5,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_50,c_0_322]),
[final] ).
cnf(c_0_406,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_81,c_0_322]),
[final] ).
cnf(c_0_407,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_64,c_0_322]),
[final] ).
cnf(c_0_408,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_141,c_0_323]),
[final] ).
cnf(c_0_409,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_127,c_0_323]),
[final] ).
cnf(c_0_410,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_140,c_0_324]),
[final] ).
cnf(c_0_411,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_324]),
[final] ).
cnf(c_0_412,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_86,c_0_324]),
[final] ).
cnf(c_0_413,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_140,c_0_325]),
[final] ).
cnf(c_0_414,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_325]),
[final] ).
cnf(c_0_415,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_86,c_0_325]),
[final] ).
cnf(c_0_416,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_346,c_0_326]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_123,c_0_326]),
[final] ).
cnf(c_0_418,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_50,c_0_326]),
[final] ).
cnf(c_0_419,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_81,c_0_326]),
[final] ).
cnf(c_0_420,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_326]),
[final] ).
cnf(c_0_421,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_347,c_0_348]),
[final] ).
cnf(c_0_422,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_349,c_0_297]),
[final] ).
cnf(c_0_423,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_350,c_0_313]),
[final] ).
cnf(c_0_424,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_351,c_0_352]),
[final] ).
cnf(c_0_425,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_353,c_0_315]),
[final] ).
cnf(c_0_426,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_354,c_0_355]),
[final] ).
cnf(c_0_427,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_356,c_0_316]),
[final] ).
cnf(c_0_428,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_357,c_0_358]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_359,c_0_216]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_358]),
[final] ).
cnf(c_0_431,negated_conjecture,
( product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_355]),
[final] ).
cnf(c_0_432,negated_conjecture,
( product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_360]),
[final] ).
cnf(c_0_433,negated_conjecture,
( product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_352]),
[final] ).
cnf(c_0_434,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_361,c_0_310]),
[final] ).
cnf(c_0_435,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_362]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product(e_4,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_348]),
[final] ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_82,c_0_363]),
[final] ).
cnf(c_0_438,negated_conjecture,
( product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_364]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_82,c_0_365]),
[final] ).
cnf(c_0_440,negated_conjecture,
( product(e_2,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_82,c_0_366]),
[final] ).
cnf(c_0_441,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_123,c_0_222]),
[final] ).
cnf(c_0_442,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_81,c_0_222]),
[final] ).
cnf(c_0_443,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_64,c_0_222]),
[final] ).
cnf(c_0_444,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_367]),
[final] ).
cnf(c_0_445,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_368]),
[final] ).
cnf(c_0_446,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_369]),
[final] ).
cnf(c_0_447,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_370]),
[final] ).
cnf(c_0_448,negated_conjecture,
~ product(e_5,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_322]),c_0_360])]),
[final] ).
cnf(c_0_449,negated_conjecture,
~ product(e_5,e_1,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_322]),c_0_360])]),
[final] ).
cnf(c_0_450,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_373,c_0_358]),
[final] ).
cnf(c_0_451,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(spm,[status(thm)],[c_0_60,c_0_355]),
[final] ).
cnf(c_0_452,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_98,c_0_355]),
[final] ).
cnf(c_0_453,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_371,c_0_355]),
[final] ).
cnf(c_0_454,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(spm,[status(thm)],[c_0_64,c_0_360]),
[final] ).
cnf(c_0_455,negated_conjecture,
~ product(e_1,e_4,e_3),
inference(spm,[status(thm)],[c_0_120,c_0_360]),
[final] ).
cnf(c_0_456,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(spm,[status(thm)],[c_0_107,c_0_360]),
[final] ).
cnf(c_0_457,negated_conjecture,
~ product(e_1,e_5,e_2),
inference(spm,[status(thm)],[c_0_374,c_0_360]),
[final] ).
cnf(c_0_458,negated_conjecture,
~ product(e_3,e_5,e_1),
inference(spm,[status(thm)],[c_0_141,c_0_310]),
[final] ).
cnf(c_0_459,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(spm,[status(thm)],[c_0_127,c_0_310]),
[final] ).
cnf(c_0_460,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(spm,[status(thm)],[c_0_120,c_0_310]),
[final] ).
cnf(c_0_461,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(spm,[status(thm)],[c_0_249,c_0_310]),
[final] ).
cnf(c_0_462,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(spm,[status(thm)],[c_0_107,c_0_310]),
[final] ).
cnf(c_0_463,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(spm,[status(thm)],[c_0_296,c_0_310]),
[final] ).
cnf(c_0_464,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(spm,[status(thm)],[c_0_375,c_0_310]),
[final] ).
cnf(c_0_465,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(spm,[status(thm)],[c_0_65,c_0_362]),
[final] ).
cnf(c_0_466,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_86,c_0_362]),
[final] ).
cnf(c_0_467,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(spm,[status(thm)],[c_0_98,c_0_362]),
[final] ).
cnf(c_0_468,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(spm,[status(thm)],[c_0_268,c_0_311]),
[final] ).
cnf(c_0_469,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(spm,[status(thm)],[c_0_225,c_0_311]),
[final] ).
cnf(c_0_470,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(spm,[status(thm)],[c_0_64,c_0_312]),
[final] ).
cnf(c_0_471,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(spm,[status(thm)],[c_0_268,c_0_312]),
[final] ).
cnf(c_0_472,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(spm,[status(thm)],[c_0_376,c_0_312]),
[final] ).
cnf(c_0_473,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(spm,[status(thm)],[c_0_88,c_0_363]),
[final] ).
cnf(c_0_474,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_107,c_0_363]),
[final] ).
cnf(c_0_475,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(spm,[status(thm)],[c_0_182,c_0_364]),
[final] ).
cnf(c_0_476,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_122,c_0_364]),
[final] ).
cnf(c_0_477,negated_conjecture,
~ product(e_4,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_364])]),
[final] ).
cnf(c_0_478,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(spm,[status(thm)],[c_0_378,c_0_365]),
[final] ).
cnf(c_0_479,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_182,c_0_365]),
[final] ).
cnf(c_0_480,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_122,c_0_365]),
[final] ).
cnf(c_0_481,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(spm,[status(thm)],[c_0_374,c_0_365]),
[final] ).
cnf(c_0_482,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(spm,[status(thm)],[c_0_333,c_0_313]),
[final] ).
cnf(c_0_483,plain,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_268,c_0_366]),
[final] ).
cnf(c_0_484,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(spm,[status(thm)],[c_0_268,c_0_297]),
[final] ).
cnf(c_0_485,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_304]),c_0_88]),
[final] ).
cnf(c_0_486,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_258]),c_0_81]),
[final] ).
cnf(c_0_487,plain,
~ product(e_4,e_4,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_379]),c_0_51])]),
[final] ).
cnf(c_0_488,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(spm,[status(thm)],[c_0_182,c_0_216]),
[final] ).
cnf(c_0_489,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(spm,[status(thm)],[c_0_122,c_0_216]),
[final] ).
cnf(c_0_490,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(spm,[status(thm)],[c_0_380,c_0_216]),
[final] ).
cnf(c_0_491,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_381]),c_0_88]),c_0_65]),
[final] ).
cnf(c_0_492,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_382]),c_0_321]),
[final] ).
cnf(c_0_493,plain,
~ product(e_2,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_383]),c_0_51])]),
[final] ).
cnf(c_0_494,plain,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_140,c_0_51]),
[final] ).
cnf(c_0_495,plain,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_373,c_0_51]),
[final] ).
cnf(c_0_496,plain,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_249,c_0_51]),
[final] ).
cnf(c_0_497,plain,
~ product(e_5,e_5,e_3),
inference(spm,[status(thm)],[c_0_376,c_0_51]),
[final] ).
cnf(c_0_498,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_141,c_0_51]),
[final] ).
cnf(c_0_499,plain,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_371,c_0_51]),
[final] ).
cnf(c_0_500,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_60,c_0_51]),
[final] ).
cnf(c_0_501,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_107,c_0_51]),
[final] ).
cnf(c_0_502,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_268,c_0_51]),
[final] ).
cnf(c_0_503,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_375,c_0_51]),
[final] ).
cnf(c_0_504,plain,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_225,c_0_51]),
[final] ).
cnf(c_0_505,plain,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_333,c_0_51]),
[final] ).
cnf(c_0_506,plain,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_374,c_0_51]),
[final] ).
cnf(c_0_507,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_384,c_0_85]),
[final] ).
cnf(c_0_508,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_509,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_510,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_511,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_512,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_513,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_514,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_515,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_516,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_517,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_518,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP127-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n002.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 02:33:29 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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/tmp/tmp.nv6t2MjPzR/E---3.1_13705.p
% 410.48/300.29 # Version: 3.1pre001
% 410.48/300.29 # Preprocessing class: FSMSSMSSSSSNFFN.
% 410.48/300.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 410.48/300.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 410.48/300.29 # Starting new_bool_3 with 300s (1) cores
% 410.48/300.29 # Starting new_bool_1 with 300s (1) cores
% 410.48/300.29 # Starting sh5l with 300s (1) cores
% 410.48/300.29 # new_bool_3 with pid 13785 completed with status 1
% 410.48/300.29 # Result found by new_bool_3
% 410.48/300.29 # Preprocessing class: FSMSSMSSSSSNFFN.
% 410.48/300.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 410.48/300.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 410.48/300.29 # Starting new_bool_3 with 300s (1) cores
% 410.48/300.29 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 410.48/300.29 # Search class: FGHNF-FFSM00-SFFFFFNN
% 410.48/300.29 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 410.48/300.29 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 410.48/300.29 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 13790 completed with status 1
% 410.48/300.29 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 410.48/300.29 # Preprocessing class: FSMSSMSSSSSNFFN.
% 410.48/300.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 410.48/300.29 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 410.48/300.29 # Starting new_bool_3 with 300s (1) cores
% 410.48/300.29 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 410.48/300.29 # Search class: FGHNF-FFSM00-SFFFFFNN
% 410.48/300.29 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 410.48/300.29 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 410.48/300.29 # Preprocessing time : 0.001 s
% 410.48/300.29 # Presaturation interreduction done
% 410.48/300.29
% 410.48/300.29 # No proof found!
% 410.48/300.29 # SZS status Satisfiable
% 410.48/300.29 # SZS output start Saturation
% See solution above
% 410.48/300.30 # Parsed axioms : 46
% 410.48/300.30 # Removed by relevancy pruning/SinE : 0
% 410.48/300.30 # Initial clauses : 46
% 410.48/300.30 # Removed in clause preprocessing : 0
% 410.48/300.30 # Initial clauses in saturation : 46
% 410.48/300.30 # Processed clauses : 2046
% 410.48/300.30 # ...of these trivial : 48
% 410.48/300.30 # ...subsumed : 919
% 410.48/300.30 # ...remaining for further processing : 1079
% 410.48/300.30 # Other redundant clauses eliminated : 0
% 410.48/300.30 # Clauses deleted for lack of memory : 0
% 410.48/300.30 # Backward-subsumed : 563
% 410.48/300.30 # Backward-rewritten : 109
% 410.48/300.30 # Generated clauses : 3743
% 410.48/300.30 # ...of the previous two non-redundant : 3369
% 410.48/300.30 # ...aggressively subsumed : 0
% 410.48/300.30 # Contextual simplify-reflections : 78
% 410.48/300.30 # Paramodulations : 3675
% 410.48/300.30 # Factorizations : 0
% 410.48/300.30 # NegExts : 0
% 410.48/300.30 # Equation resolutions : 0
% 410.48/300.30 # Total rewrite steps : 351
% 410.48/300.30 # Propositional unsat checks : 0
% 410.48/300.30 # Propositional check models : 0
% 410.48/300.30 # Propositional check unsatisfiable : 0
% 410.48/300.30 # Propositional clauses : 0
% 410.48/300.30 # Propositional clauses after purity: 0
% 410.48/300.30 # Propositional unsat core size : 0
% 410.48/300.30 # Propositional preprocessing time : 0.000
% 410.48/300.30 # Propositional encoding time : 0.000
% 410.48/300.30 # Propositional solver time : 0.000
% 410.48/300.30 # Success case prop preproc time : 0.000
% 410.48/300.30 # Success case prop encoding time : 0.000
% 410.48/300.30 # Success case prop solver time : 0.000
% 410.48/300.30 # Current number of processed clauses : 293
% 410.48/300.30 # Positive orientable unit clauses : 40
% 410.48/300.30 # Positive unorientable unit clauses: 0
% 410.48/300.30 # Negative unit clauses : 111
% 410.48/300.30 # Non-unit-clauses : 142
% 410.48/300.30 # Current number of unprocessed clauses: 0
% 410.48/300.30 # ...number of literals in the above : 0
% 410.48/300.30 # Current number of archived formulas : 0
% 410.48/300.30 # Current number of archived clauses : 786
% 410.48/300.30 # Clause-clause subsumption calls (NU) : 68291
% 410.48/300.30 # Rec. Clause-clause subsumption calls : 35114
% 410.48/300.30 # Non-unit clause-clause subsumptions : 641
% 410.48/300.30 # Unit Clause-clause subsumption calls : 3627
% 410.48/300.30 # Rewrite failures with RHS unbound : 0
% 410.48/300.30 # BW rewrite match attempts : 119
% 410.48/300.30 # BW rewrite match successes : 20
% 410.48/300.30 # Condensation attempts : 0
% 410.48/300.30 # Condensation successes : 0
% 410.48/300.30 # Termbank termtop insertions : 42325
% 410.48/300.30
% 410.48/300.30 # -------------------------------------------------
% 410.48/300.30 # User time : 0.142 s
% 410.48/300.30 # System time : 0.002 s
% 410.48/300.30 # Total time : 0.144 s
% 410.48/300.30 # Maximum resident set size: 1828 pages
% 410.48/300.30
% 410.48/300.30 # -------------------------------------------------
% 410.48/300.30 # User time : 0.144 s
% 410.48/300.30 # System time : 0.004 s
% 410.48/300.30 # Total time : 0.149 s
% 410.48/300.30 # Maximum resident set size: 1928 pages
% 410.48/300.30 % E---3.1 exiting
% 410.48/300.30 % E---3.1 exiting
%------------------------------------------------------------------------------