%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP127-3.005 : 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 : n004.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 12:38:14 PM UTC 2026
% Result : Satisfiable 4.16s 1.24s
% Output : Saturation 4.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_60ERROR: Could not build tree for root c_0_83ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_64,plain,
~ equalish(e_2,e_1),
c_0_58,
[final] ).
cnf(c_0_65,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_59,
[final] ).
cnf(c_0_69,plain,
~ equalish(e_5,e_3),
c_0_60,
[final] ).
cnf(c_0_70,plain,
( ~ next(X1,X4)
| ~ greater(X2,e_0)
| ~ product(X1,e_1,X3)
| ~ cycle(X1,X2)
| equalish(X3,X4) ),
c_0_61,
[final] ).
cnf(c_0_71,plain,
( ~ group_element(X1)
| cycle(X1,e_4)
| cycle(X1,e_3)
| cycle(X1,e_2)
| cycle(X1,e_1)
| cycle(X1,e_0) ),
c_0_62,
[final] ).
cnf(c_0_72,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_73,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| 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_63,
[final] ).
cnf(c_0_74,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_75,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]),
[final] ).
cnf(c_0_76,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_77,plain,
~ equalish(e_4,e_3),
c_0_66,
[final] ).
cnf(c_0_78,plain,
~ equalish(e_2,e_3),
c_0_67,
[final] ).
cnf(c_0_80,plain,
~ equalish(e_3,e_1),
c_0_68,
[final] ).
cnf(c_0_83,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_85,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_86,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_87,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) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_88,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_75,c_0_76]),
[final] ).
cnf(c_0_89,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_70]),
[final] ).
cnf(c_0_90,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_78,c_0_70]),
[final] ).
cnf(c_0_91,plain,
~ equalish(e_5,e_4),
c_0_79,
[final] ).
cnf(c_0_92,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_93,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_65]),
[final] ).
cnf(c_0_94,plain,
~ equalish(e_3,e_4),
c_0_81,
[final] ).
cnf(c_0_95,plain,
~ equalish(e_2,e_4),
c_0_82,
[final] ).
cnf(c_0_101,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_91,c_0_70]),
[final] ).
cnf(c_0_103,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_104,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_93,c_0_76]),
[final] ).
cnf(c_0_105,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_94,c_0_70]),
[final] ).
cnf(c_0_106,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_95,c_0_70]),
[final] ).
cnf(c_0_107,plain,
( ~ greater(X2,X1)
| ~ product(X1,e_1,X2)
| ~ cycle(X1,e_0) ),
c_0_96,
[final] ).
cnf(c_0_115,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_118,plain,
~ equalish(e_1,e_5),
c_0_109,
[final] ).
cnf(c_0_121,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_122,plain,
~ equalish(e_4,e_5),
c_0_116,
[final] ).
cnf(c_0_123,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_117,
[final] ).
cnf(c_0_125,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_65]),
[final] ).
cnf(c_0_127,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_129,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_130,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_131,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]),
[final] ).
cnf(c_0_132,plain,
~ equalish(e_4,e_1),
c_0_124,
[final] ).
cnf(c_0_134,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_135,plain,
~ product(e_5,e_1,e_1),
inference(spm,[status(thm)],[c_0_125,c_0_76]),
[final] ).
cnf(c_0_138,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_140,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) ),
inference(spm,[status(thm)],[c_0_73,c_0_130]),
[final] ).
cnf(c_0_141,plain,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_131,c_0_76]),
[final] ).
cnf(c_0_142,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_65]),
[final] ).
cnf(c_0_143,plain,
~ equalish(e_3,e_5),
c_0_133,
[final] ).
cnf(c_0_144,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_123]),
[final] ).
cnf(c_0_148,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_149,negated_conjecture,
( ~ product(X3,X1,X4)
| ~ product(X1,X2,X3)
| product(X4,X1,X2) ),
c_0_139,
[final] ).
cnf(c_0_151,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_142,c_0_76]),
[final] ).
cnf(c_0_152,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_123]),
[final] ).
cnf(c_0_154,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_143,c_0_65]),
[final] ).
cnf(c_0_161,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_152,c_0_76]),
[final] ).
cnf(c_0_162,plain,
~ equalish(e_2,e_5),
c_0_153,
[final] ).
cnf(c_0_165,plain,
~ equalish(e_3,e_2),
c_0_157,
[final] ).
cnf(c_0_167,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_65]),
[final] ).
cnf(c_0_169,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_162,c_0_65]),
[final] ).
cnf(c_0_171,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_65]),
[final] ).
cnf(c_0_178,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_65]),
[final] ).
cnf(c_0_179,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_65]),
[final] ).
cnf(c_0_181,plain,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_177]),c_0_178]),c_0_179]),
[final] ).
cnf(c_0_192,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) ),
inference(spm,[status(thm)],[c_0_73,c_0_134]),
[final] ).
cnf(c_0_193,plain,
~ product(e_3,e_5,e_5),
inference(spm,[status(thm)],[c_0_154,c_0_76]),
[final] ).
cnf(c_0_206,plain,
~ product(e_2,e_5,e_5),
inference(spm,[status(thm)],[c_0_169,c_0_76]),
[final] ).
cnf(c_0_207,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_123]),
[final] ).
cnf(c_0_211,plain,
~ product(e_2,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_76])]),
[final] ).
cnf(c_0_216,plain,
~ product(e_1,e_5,e_1),
inference(spm,[status(thm)],[c_0_144,c_0_76]),
[final] ).
cnf(c_0_220,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_143,c_0_123]),
[final] ).
cnf(c_0_224,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) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]),
[final] ).
cnf(c_0_225,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_207,c_0_76]),
[final] ).
cnf(c_0_226,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_179,c_0_76]),
[final] ).
cnf(c_0_234,plain,
~ product(e_2,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_227]),c_0_76])]),
[final] ).
cnf(c_0_235,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_228,
[final] ).
cnf(c_0_236,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_162,c_0_123]),
[final] ).
cnf(c_0_239,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_95,c_0_123]),
[final] ).
cnf(c_0_242,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_235]),
[final] ).
cnf(c_0_244,negated_conjecture,
( ~ product(X1,X2,X1)
| product(X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_76]),
[final] ).
cnf(c_0_246,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_239,c_0_76]),
[final] ).
cnf(c_0_248,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]),
[final] ).
cnf(c_0_254,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_123]),
[final] ).
cnf(c_0_258,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) ),
inference(spm,[status(thm)],[c_0_73,c_0_92]),
[final] ).
cnf(c_0_259,plain,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_171,c_0_76]),
[final] ).
cnf(c_0_265,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_260]),c_0_76])]),
[final] ).
cnf(c_0_266,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_123]),
[final] ).
cnf(c_0_270,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_123]),
[final] ).
cnf(c_0_278,plain,
~ product(e_2,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_273]),c_0_76])]),
[final] ).
cnf(c_0_281,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_277]),c_0_278]),
[final] ).
cnf(c_0_285,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_282]),c_0_278]),
[final] ).
cnf(c_0_287,negated_conjecture,
product(e_2,e_4,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_284]),c_0_285]),
[final] ).
cnf(c_0_293,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_178,c_0_76]),
[final] ).
cnf(c_0_299,plain,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_294]),c_0_295]),
[final] ).
cnf(c_0_300,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_201]),c_0_154]),
[final] ).
cnf(c_0_305,plain,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_167,c_0_76]),
[final] ).
cnf(c_0_307,plain,
~ product(e_2,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_304]),c_0_287])]),
[final] ).
cnf(c_0_310,negated_conjecture,
product(e_3,e_5,e_2),
inference(sr,[status(thm)],[c_0_223,c_0_307]),
[final] ).
cnf(c_0_311,negated_conjecture,
product(e_3,e_4,e_1),
inference(sr,[status(thm)],[c_0_195,c_0_307]),
[final] ).
cnf(c_0_312,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_235]),
[final] ).
cnf(c_0_314,negated_conjecture,
product(e_1,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_309]),c_0_310])]),
[final] ).
cnf(c_0_315,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_162,c_0_235]),
[final] ).
cnf(c_0_316,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_311]),
[final] ).
cnf(c_0_317,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_122,c_0_235]),
[final] ).
cnf(c_0_318,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_312,c_0_76]),
[final] ).
cnf(c_0_320,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(spm,[status(thm)],[c_0_125,c_0_314]),
[final] ).
cnf(c_0_322,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_287]),
[final] ).
cnf(c_0_323,plain,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_317,c_0_76]),
[final] ).
cnf(c_0_324,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_316]),c_0_318]),
[final] ).
cnf(c_0_329,negated_conjecture,
product(e_5,e_4,e_3),
inference(sr,[status(thm)],[c_0_201,c_0_320]),
[final] ).
cnf(c_0_330,negated_conjecture,
~ product(e_4,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_314])]),
[final] ).
cnf(c_0_331,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_322]),c_0_323]),
[final] ).
cnf(c_0_333,plain,
~ equalish(e_1,e_2),
c_0_325,
[final] ).
cnf(c_0_334,plain,
( ~ next(X4,X5)
| ~ greater(X2,e_0)
| ~ next(X1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| equalish(X2,X5) ),
c_0_326,
[final] ).
cnf(c_0_335,plain,
~ equalish(e_4,e_2),
c_0_327,
[final] ).
cnf(c_0_339,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_85])]),
[final] ).
cnf(c_0_340,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_334]),c_0_129])]),
[final] ).
cnf(c_0_341,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_334]),c_0_121])]),
[final] ).
cnf(c_0_343,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_266,c_0_76]),
[final] ).
cnf(c_0_345,plain,
~ product(e_4,e_4,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_338]),c_0_76])]),
[final] ).
cnf(c_0_346,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_235]),
[final] ).
cnf(c_0_348,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_352,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_344]),c_0_345]),
[final] ).
cnf(c_0_355,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_235]),
[final] ).
cnf(c_0_359,negated_conjecture,
~ product(e_2,e_3,e_5),
inference(spm,[status(thm)],[c_0_266,c_0_287]),
[final] ).
cnf(c_0_361,negated_conjecture,
product(e_3,e_1,e_4),
inference(sr,[status(thm)],[c_0_351,c_0_352]),
[final] ).
cnf(c_0_362,plain,
~ product(e_4,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_353]),c_0_76])]),
[final] ).
cnf(c_0_363,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_314])]),
[final] ).
cnf(c_0_364,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_254,c_0_76]),
[final] ).
cnf(c_0_365,negated_conjecture,
product(e_2,e_5,e_4),
inference(sr,[status(thm)],[c_0_237,c_0_307]),
[final] ).
cnf(c_0_366,plain,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_175,c_0_352]),
[final] ).
cnf(c_0_367,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_351]),c_0_171]),
[final] ).
cnf(c_0_369,plain,
~ equalish(e_1,e_4),
c_0_356,
[final] ).
cnf(c_0_370,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_334]),c_0_85])]),
[final] ).
cnf(c_0_371,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_334]),c_0_138])]),
[final] ).
cnf(c_0_372,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_334]),c_0_129])]),
[final] ).
cnf(c_0_373,plain,
( ~ next(X1,X2)
| ~ next(X3,e_5)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_334]),c_0_121])]),
[final] ).
cnf(c_0_376,negated_conjecture,
product(e_4,e_3,e_2),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_362]),c_0_363]),c_0_364]),
[final] ).
cnf(c_0_377,negated_conjecture,
( ~ product(e_5,X1,e_2)
| product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_365]),
[final] ).
cnf(c_0_378,plain,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_366])]),c_0_367]),
[final] ).
cnf(c_0_379,plain,
~ equalish(e_1,e_3),
c_0_368,
[final] ).
cnf(c_0_380,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_334]),c_0_85])]),
[final] ).
cnf(c_0_381,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_334]),c_0_138])]),
[final] ).
cnf(c_0_382,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_334]),c_0_129])]),
[final] ).
cnf(c_0_384,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
cnf(c_0_386,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_389,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(spm,[status(thm)],[c_0_179,c_0_376]),
[final] ).
cnf(c_0_390,negated_conjecture,
product(e_4,e_5,e_1),
inference(spm,[status(thm)],[c_0_377,c_0_378]),
[final] ).
cnf(c_0_391,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_334]),c_0_85])]),
[final] ).
cnf(c_0_392,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_334]),c_0_138])]),
[final] ).
cnf(c_0_393,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_334]),c_0_121])]),
[final] ).
cnf(c_0_395,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_4)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_383,c_0_384]),
[final] ).
cnf(c_0_398,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_130]),
[final] ).
cnf(c_0_399,negated_conjecture,
product(e_5,e_3,e_4),
inference(sr,[status(thm)],[c_0_388,c_0_389]),
[final] ).
cnf(c_0_400,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(spm,[status(thm)],[c_0_312,c_0_390]),
[final] ).
cnf(c_0_401,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_235]),
[final] ).
cnf(c_0_403,plain,
( ~ next(e_2,X1)
| ~ cycle(X1,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_4) ),
inference(spm,[status(thm)],[c_0_394,c_0_103]),
[final] ).
cnf(c_0_406,negated_conjecture,
product(e_1,e_5,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_399]),c_0_400]),c_0_330]),c_0_331]),
[final] ).
cnf(c_0_407,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_401,c_0_361]),
[final] ).
cnf(c_0_412,negated_conjecture,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_406]),c_0_407]),c_0_367]),
[final] ).
cnf(c_0_413,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_416,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_410,c_0_384]),
[final] ).
cnf(c_0_419,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_421,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_3)
| cycle(e_3,e_0)
| cycle(e_3,e_4) ),
inference(spm,[status(thm)],[c_0_415,c_0_103]),
[final] ).
cnf(c_0_423,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_334]),c_0_121])]),
[final] ).
cnf(c_0_425,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_334]),c_0_129])]),
[final] ).
cnf(c_0_426,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_334]),c_0_138])]),
[final] ).
cnf(c_0_427,plain,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| cycle(e_3,e_0)
| cycle(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_420,c_0_86]),
[final] ).
cnf(c_0_429,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]),c_0_426]),
[final] ).
cnf(c_0_431,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_432,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_270,c_0_76]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_424]),c_0_372]),c_0_371]),
[final] ).
cnf(c_0_442,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_437]),c_0_381]),
[final] ).
cnf(c_0_444,plain,
( ~ greater(X2,X5)
| ~ greater(X3,X1)
| ~ next(X3,X4)
| ~ cycle(X4,X5)
| ~ cycle(X3,e_0)
| ~ cycle(X1,X2) ),
c_0_439,
[final] ).
cnf(c_0_445,axiom,
cycle(e_5,e_0),
cycle3,
[final] ).
cnf(c_0_449,plain,
( ~ next(e_5,X1)
| ~ greater(X4,X2)
| ~ greater(e_5,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_444,c_0_445]),
[final] ).
cnf(c_0_454,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_2,X1) ),
inference(spm,[status(thm)],[c_0_449,c_0_115]),
[final] ).
cnf(c_0_463,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_3,X1) ),
inference(spm,[status(thm)],[c_0_449,c_0_127]),
[final] ).
cnf(c_0_465,plain,
( ~ cycle(X1,X3)
| ~ cycle(X1,X2)
| equalish(X2,X3) ),
c_0_457,
[final] ).
cnf(c_0_467,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_236,c_0_310]),
[final] ).
cnf(c_0_468,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_207,c_0_361]),
[final] ).
cnf(c_0_470,plain,
product(e_2,e_3,e_1),
inference(sr,[status(thm)],[c_0_459,c_0_389]),
[final] ).
cnf(c_0_471,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_460]),c_0_314])]),
[final] ).
cnf(c_0_476,negated_conjecture,
cycle(e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_464]),c_0_431]),c_0_86])]),
[final] ).
cnf(c_0_477,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_118,c_0_465]),
[final] ).
cnf(c_0_478,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_162,c_0_465]),
[final] ).
cnf(c_0_479,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_143,c_0_465]),
[final] ).
cnf(c_0_480,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_5) ),
inference(spm,[status(thm)],[c_0_122,c_0_465]),
[final] ).
cnf(c_0_481,plain,
~ equalish(e_5,e_1),
c_0_466,
[final] ).
cnf(c_0_482,negated_conjecture,
product(e_5,e_2,e_1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_366]),c_0_467]),c_0_352]),c_0_468]),
[final] ).
cnf(c_0_483,negated_conjecture,
product(e_1,e_3,e_5),
inference(sr,[status(thm)],[c_0_469,c_0_389]),
[final] ).
cnf(c_0_484,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_366]),c_0_467]),c_0_225]),c_0_468]),
[final] ).
cnf(c_0_485,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_470]),c_0_367]),c_0_352]),c_0_471]),
[final] ).
cnf(c_0_486,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_470])]),c_0_352]),c_0_467]),c_0_468]),
[final] ).
cnf(c_0_487,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_333,c_0_70]),
[final] ).
cnf(c_0_493,negated_conjecture,
cycle(e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_476]),c_0_86])]),
[final] ).
cnf(c_0_494,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2)
| cycle(e_4,e_4)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_398]),c_0_381]),c_0_382]),
[final] ).
cnf(c_0_495,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2)
| cycle(e_4,e_3)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_398]),c_0_392]),c_0_393]),
[final] ).
cnf(c_0_496,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_4,X1) ),
inference(spm,[status(thm)],[c_0_449,c_0_413]),
[final] ).
cnf(c_0_497,plain,
( ~ cycle(e_2,e_5)
| cycle(e_2,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_84]),c_0_478]),c_0_479]),c_0_480]),
[final] ).
cnf(c_0_498,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_481,c_0_70]),
[final] ).
cnf(c_0_499,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_482]),
[final] ).
cnf(c_0_500,negated_conjecture,
( ~ product(e_3,X1,e_5)
| product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_399]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_483]),
[final] ).
cnf(c_0_502,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_470]),
[final] ).
cnf(c_0_503,negated_conjecture,
( ~ product(e_5,X1,e_4)
| product(e_1,e_5,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_390]),
[final] ).
cnf(c_0_504,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_484]),
[final] ).
cnf(c_0_505,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_485]),
[final] ).
cnf(c_0_506,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_486]),
[final] ).
cnf(c_0_507,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_70]),
[final] ).
cnf(c_0_508,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_398]),c_0_340]),c_0_341]),
[final] ).
cnf(c_0_509,plain,
( ~ next(e_4,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_398]),c_0_371]),c_0_372]),c_0_373]),
[final] ).
cnf(c_0_510,plain,
( cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_488]),c_0_76]),c_0_85]),c_0_348])]),
[final] ).
cnf(c_0_511,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_512,plain,
~ equalish(e_5,e_2),
c_0_489,
[final] ).
cnf(c_0_514,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_80,c_0_70]),
[final] ).
cnf(c_0_515,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_165,c_0_70]),
[final] ).
cnf(c_0_517,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_335,c_0_70]),
[final] ).
cnf(c_0_518,plain,
( ~ next(X1,e_1)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_132,c_0_70]),
[final] ).
cnf(c_0_519,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_122,c_0_70]),
[final] ).
cnf(c_0_521,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_2,X2)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_463,c_0_476]),
[final] ).
cnf(c_0_522,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_523,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_3)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_392,c_0_476]),
[final] ).
cnf(c_0_524,negated_conjecture,
( ~ next(e_5,X1)
| ~ greater(e_3,X2)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_454,c_0_493]),
[final] ).
cnf(c_0_525,plain,
( ~ cycle(e_1,e_5)
| cycle(e_1,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_488]),c_0_478]),c_0_479]),c_0_480]),
[final] ).
cnf(c_0_526,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_1)
| ~ cycle(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_437]),c_0_426]),
[final] ).
cnf(c_0_527,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_3)
| cycle(e_4,e_0)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_494,c_0_103]),
[final] ).
cnf(c_0_528,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_2)
| cycle(e_4,e_0)
| cycle(e_4,e_3) ),
inference(spm,[status(thm)],[c_0_495,c_0_86]),
[final] ).
cnf(c_0_532,negated_conjecture,
( ~ next(e_3,X1)
| ~ next(X2,e_5)
| ~ cycle(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_437]),c_0_371]),
[final] ).
cnf(c_0_537,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_2,X2,e_1)
| product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_499]),
[final] ).
cnf(c_0_538,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_500]),
[final] ).
cnf(c_0_539,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_501]),
[final] ).
cnf(c_0_540,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_502]),
[final] ).
cnf(c_0_541,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_503]),
[final] ).
cnf(c_0_542,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_236,c_0_503]),
[final] ).
cnf(c_0_543,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_2,X2,e_5)
| product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_504]),
[final] ).
cnf(c_0_544,negated_conjecture,
( ~ product(e_2,X1,e_4)
| ~ product(e_2,X2,e_3)
| product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_505]),
[final] ).
cnf(c_0_545,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_220,c_0_503]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_316]),
[final] ).
cnf(c_0_547,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_322]),
[final] ).
cnf(c_0_548,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_2,X2,e_4)
| product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_506]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_3,X2,e_4)
| product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_500]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_3,X2,e_5)
| product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_501]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_3,X2,e_1)
| product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_502]),
[final] ).
cnf(c_0_552,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_5,X2,e_1)
| product(X1,e_5,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_503]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_266,c_0_322]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_266,c_0_316]),
[final] ).
cnf(c_0_555,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_4,X2,e_5)
| product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_322]),
[final] ).
cnf(c_0_556,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_4,X2,e_1)
| product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_316]),
[final] ).
cnf(c_0_559,plain,
( ~ next(e_5,X1)
| ~ greater(e_1,X2)
| ~ cycle(X1,X2)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_496,c_0_398]),
[final] ).
cnf(c_0_560,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_1)
| cycle(e_4,e_0)
| cycle(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_508,c_0_348]),
[final] ).
cnf(c_0_561,plain,
( ~ next(e_4,X1)
| ~ cycle(X1,e_4)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_509,c_0_384]),
[final] ).
cnf(c_0_562,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_444,c_0_510]),
[final] ).
cnf(c_0_563,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_1,X1) ),
inference(spm,[status(thm)],[c_0_449,c_0_511]),
[final] ).
cnf(c_0_564,plain,
( ~ greater(X1,e_1)
| ~ product(e_1,e_1,X1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_510]),
[final] ).
cnf(c_0_565,axiom,
greater(e_5,e_0),
e_5_greater_e_0,
[final] ).
cnf(c_0_566,plain,
( ~ next(X1,e_2)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_512,c_0_70]),
[final] ).
cnf(c_0_569,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_4) ),
inference(spm,[status(thm)],[c_0_95,c_0_465]),
[final] ).
cnf(c_0_570,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_165,c_0_465]),
[final] ).
cnf(c_0_581,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_235]),
[final] ).
cnf(c_0_595,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_118,c_0_235]),
[final] ).
cnf(c_0_599,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_5) ),
inference(spm,[status(thm)],[c_0_143,c_0_235]),
[final] ).
cnf(c_0_600,negated_conjecture,
( ~ next(e_5,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_398]),c_0_522])]),
[final] ).
cnf(c_0_601,negated_conjecture,
( ~ next(e_1,e_3)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_398]),c_0_103])]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ next(e_5,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_510]),c_0_138])]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ next(e_5,e_2)
| ~ greater(e_3,e_3) ),
inference(spm,[status(thm)],[c_0_524,c_0_493]),
[final] ).
cnf(c_0_604,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_4)
| ~ cycle(X1,X2) ),
inference(spm,[status(thm)],[c_0_382,c_0_493]),
[final] ).
cnf(c_0_605,negated_conjecture,
( ~ next(e_5,e_1)
| ~ cycle(e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_521,c_0_525]),c_0_138])]),
[final] ).
cnf(c_0_606,negated_conjecture,
( ~ next(e_5,e_2)
| ~ greater(e_2,e_3) ),
inference(spm,[status(thm)],[c_0_521,c_0_493]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ next(e_1,e_1)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_398]),c_0_103])]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ next(e_1,e_4)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_398]),c_0_103])]),
[final] ).
cnf(c_0_609,negated_conjecture,
( ~ next(e_4,e_2)
| cycle(e_4,e_4)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_527,c_0_493]),
[final] ).
cnf(c_0_610,negated_conjecture,
( ~ next(e_4,e_3)
| cycle(e_4,e_3)
| cycle(e_4,e_0) ),
inference(spm,[status(thm)],[c_0_528,c_0_476]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_138]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_529,c_0_522]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| cycle(e_2,e_4)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_530,c_0_138]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ next(e_5,X1)
| ~ cycle(X1,e_1)
| cycle(e_2,e_4)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_530,c_0_522]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_2)
| cycle(e_2,e_4)
| cycle(e_2,e_0) ),
inference(spm,[status(thm)],[c_0_531,c_0_86]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ next(e_1,e_5)
| cycle(e_4,e_4)
| cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_398]),c_0_103])]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ next(e_2,X1)
| ~ next(X2,e_2)
| ~ cycle(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_455]),c_0_340]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ next(e_5,e_2)
| ~ cycle(e_2,e_5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_533]),c_0_86])]),c_0_479]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ next(e_2,X1)
| ~ cycle(X1,e_1)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_534,c_0_348]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ next(e_3,X1)
| ~ cycle(X1,e_4)
| cycle(e_2,e_0)
| cycle(e_2,e_2) ),
inference(spm,[status(thm)],[c_0_535,c_0_384]),
[final] ).
cnf(c_0_621,plain,
( ~ next(e_4,e_1)
| cycle(e_4,e_0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_412])]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(e_2,X1,e_5)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_537,c_0_470]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_538,c_0_506]),
[final] ).
cnf(c_0_624,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_539,c_0_504]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_540,c_0_499]),
[final] ).
cnf(c_0_626,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_541,c_0_316]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_542,c_0_499]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product(e_2,X1,e_3)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_543,c_0_287]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product(e_2,X1,e_4)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_544,c_0_366]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_545,c_0_502]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_546,c_0_499]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_5,e_2,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_499]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_499]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_499]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_499]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_547,c_0_504]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_504]),
[final] ).
cnf(c_0_638,negated_conjecture,
( ~ product(e_2,X1,e_1)
| product(X1,e_2,e_5) ),
inference(spm,[status(thm)],[c_0_548,c_0_365]),
[final] ).
cnf(c_0_639,negated_conjecture,
( ~ product(e_3,X1,e_5)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_549,c_0_361]),
[final] ).
cnf(c_0_640,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_504]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_504]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product(e_2,X1,e_4)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_505]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_2,e_2,X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_506]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_506]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_3,X1,e_1)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_550,c_0_484]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_3,X1,e_2)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_551,c_0_311]),
[final] ).
cnf(c_0_647,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_500]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_500]),
[final] ).
cnf(c_0_649,negated_conjecture,
( ~ product(e_5,X1,e_4)
| product(X1,e_5,e_2) ),
inference(spm,[status(thm)],[c_0_552,c_0_482]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_553,c_0_501]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_501]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_501]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_501]),
[final] ).
cnf(c_0_654,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_554,c_0_502]),
[final] ).
cnf(c_0_655,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_5,e_3,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_502]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_502]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_3,e_3,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_502]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_502]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_5,e_5,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_503]),
[final] ).
cnf(c_0_660,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_503]),
[final] ).
cnf(c_0_661,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_503]),
[final] ).
cnf(c_0_662,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,e_5,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_503]),
[final] ).
cnf(c_0_663,negated_conjecture,
( ~ product(e_4,X1,e_2)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_555,c_0_412]),
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product(e_1,X1,e_4)
| product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_412]),
[final] ).
cnf(c_0_665,negated_conjecture,
( ~ product(e_5,X1,e_1)
| product(e_3,e_5,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_406]),
[final] ).
cnf(c_0_666,negated_conjecture,
( ~ product(e_4,X1,e_3)
| product(X1,e_4,e_5) ),
inference(spm,[status(thm)],[c_0_556,c_0_390]),
[final] ).
cnf(c_0_667,negated_conjecture,
( ~ product(e_3,X1,e_4)
| product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_376]),
[final] ).
cnf(c_0_668,plain,
( ~ next(e_5,e_4)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_557,c_0_378])]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_1,X1,e_5)
| product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_378]),
[final] ).
cnf(c_0_670,negated_conjecture,
( ~ product(e_1,X1,e_3)
| product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_361]),
[final] ).
cnf(c_0_671,plain,
( ~ next(e_5,e_1)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_558,c_0_378])]),
[final] ).
cnf(c_0_672,negated_conjecture,
( ~ product(e_1,X1,e_2)
| product(e_3,e_1,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_366]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product(e_4,X1,e_5)
| product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_329]),
[final] ).
cnf(c_0_674,negated_conjecture,
( ~ product(e_4,X1,e_1)
| product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_314]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_5,e_4,X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_316]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_316]),
[final] ).
cnf(c_0_677,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_316]),
[final] ).
cnf(c_0_678,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_316]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(e_5,X1,e_3)
| product(e_2,e_5,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_310]),
[final] ).
cnf(c_0_680,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_4,e_4,X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_322]),
[final] ).
cnf(c_0_681,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_322]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_322]),
[final] ).
cnf(c_0_683,plain,
( ~ next(e_5,X1)
| ~ cycle(X1,e_0)
| cycle(e_4,e_0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(spm,[status(thm)],[c_0_559,c_0_85]),
[final] ).
cnf(c_0_684,plain,
( ~ next(e_4,e_4)
| cycle(e_4,e_2)
| cycle(e_4,e_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_398]),c_0_527]),c_0_561]),
[final] ).
cnf(c_0_685,plain,
( ~ next(e_1,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_562,c_0_85]),
[final] ).
cnf(c_0_686,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(spm,[status(thm)],[c_0_563,c_0_510]),
[final] ).
cnf(c_0_687,plain,
( ~ greater(e_1,e_1)
| cycle(e_1,e_4)
| cycle(e_1,e_3)
| cycle(e_1,e_2) ),
inference(spm,[status(thm)],[c_0_564,c_0_76]),
[final] ).
cnf(c_0_688,plain,
( ~ next(e_1,X1)
| ~ greater(X4,X2)
| ~ greater(e_1,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_5) ),
inference(spm,[status(thm)],[c_0_444,c_0_525]),
[final] ).
cnf(c_0_689,plain,
( ~ next(e_2,X1)
| ~ greater(X4,X2)
| ~ greater(e_2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_5) ),
inference(spm,[status(thm)],[c_0_444,c_0_497]),
[final] ).
cnf(c_0_690,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_1,e_5) ),
inference(spm,[status(thm)],[c_0_563,c_0_525]),
[final] ).
cnf(c_0_691,plain,
( ~ next(e_5,X1)
| ~ greater(e_0,X2)
| ~ cycle(X1,X2)
| ~ cycle(e_2,e_5) ),
inference(spm,[status(thm)],[c_0_454,c_0_497]),
[final] ).
cnf(c_0_692,plain,
( ~ next(e_5,X2)
| ~ greater(X1,X3)
| ~ cycle(X2,X3)
| ~ cycle(e_0,X1) ),
inference(spm,[status(thm)],[c_0_449,c_0_565]),
[final] ).
cnf(c_0_693,plain,
( ~ greater(e_0,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_510]),c_0_76]),c_0_348])]),
[final] ).
cnf(c_0_694,plain,
( ~ greater(e_0,e_0)
| ~ cycle(e_1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_525]),c_0_76]),c_0_348])]),
[final] ).
cnf(c_0_695,plain,
( ~ next(X1,e_3)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_379,c_0_70]),
[final] ).
cnf(c_0_696,plain,
( ~ next(X1,e_4)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_369,c_0_70]),
[final] ).
cnf(c_0_697,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_118,c_0_70]),
[final] ).
cnf(c_0_698,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_162,c_0_70]),
[final] ).
cnf(c_0_699,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_515,c_0_445]),
[final] ).
cnf(c_0_700,plain,
( ~ next(X1,e_5)
| ~ greater(X2,e_0)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_143,c_0_70]),
[final] ).
cnf(c_0_701,plain,
( ~ next(e_5,e_2)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,e_5) ),
inference(spm,[status(thm)],[c_0_566,c_0_445]),
[final] ).
cnf(c_0_702,plain,
( ~ next(X1,X2)
| ~ next(X3,e_1)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_481,c_0_334]),c_0_565])]),
[final] ).
cnf(c_0_703,plain,
( ~ next(X1,X2)
| ~ next(X3,e_2)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_334]),c_0_565])]),
[final] ).
cnf(c_0_704,plain,
( ~ next(X1,X2)
| ~ next(X3,e_3)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_334]),c_0_565])]),
[final] ).
cnf(c_0_705,plain,
( ~ next(X1,X2)
| ~ next(X3,e_4)
| ~ cycle(X2,X3)
| ~ cycle(X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_334]),c_0_565])]),
[final] ).
cnf(c_0_706,plain,
( ~ greater(X1,e_1)
| ~ cycle(e_1,e_5)
| ~ product(e_1,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_525]),
[final] ).
cnf(c_0_707,plain,
( ~ greater(X1,e_2)
| ~ cycle(e_2,e_5)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_497]),
[final] ).
cnf(c_0_708,plain,
( ~ greater(X1,e_5)
| ~ product(e_5,e_1,X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_445]),
[final] ).
cnf(c_0_709,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_64,c_0_465]),
[final] ).
cnf(c_0_710,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_80,c_0_465]),
[final] ).
cnf(c_0_711,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_4) ),
inference(spm,[status(thm)],[c_0_94,c_0_465]),
[final] ).
cnf(c_0_712,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_132,c_0_465]),
[final] ).
cnf(c_0_713,negated_conjecture,
~ next(e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_568]),c_0_419])]),
[final] ).
cnf(c_0_714,negated_conjecture,
~ cycle(e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_455]),c_0_570]),
[final] ).
cnf(c_0_715,negated_conjecture,
~ next(e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_571]),c_0_366]),c_0_129])]),
[final] ).
cnf(c_0_716,negated_conjecture,
~ next(e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_572]),c_0_366]),c_0_129])]),
[final] ).
cnf(c_0_717,negated_conjecture,
~ next(e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_573]),c_0_366]),c_0_129])]),
[final] ).
cnf(c_0_718,negated_conjecture,
~ next(e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_445]),c_0_138])]),
[final] ).
cnf(c_0_719,negated_conjecture,
~ cycle(e_4,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_575]),c_0_431]),c_0_103])]),
[final] ).
cnf(c_0_720,negated_conjecture,
~ next(e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_517,c_0_576]),c_0_361]),c_0_138])]),
[final] ).
cnf(c_0_721,negated_conjecture,
~ next(e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_577]),c_0_361]),c_0_138])]),
[final] ).
cnf(c_0_722,negated_conjecture,
~ next(e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_578]),c_0_361]),c_0_138])]),
[final] ).
cnf(c_0_723,negated_conjecture,
~ next(e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_579]),c_0_361]),c_0_138])]),
[final] ).
cnf(c_0_724,negated_conjecture,
~ cycle(e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_580]),c_0_431]),c_0_86])]),
[final] ).
cnf(c_0_725,negated_conjecture,
~ next(e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_445]),c_0_431])]),
[final] ).
cnf(c_0_726,negated_conjecture,
~ product(e_5,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_503]),c_0_406])]),
[final] ).
cnf(c_0_727,negated_conjecture,
~ product(e_5,e_1,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_503]),c_0_406])]),
[final] ).
cnf(c_0_728,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_317,c_0_412]),
[final] ).
cnf(c_0_729,negated_conjecture,
~ product(e_1,e_5,e_2),
inference(spm,[status(thm)],[c_0_346,c_0_406]),
[final] ).
cnf(c_0_730,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(spm,[status(thm)],[c_0_270,c_0_399]),
[final] ).
cnf(c_0_731,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(spm,[status(thm)],[c_0_93,c_0_483]),
[final] ).
cnf(c_0_732,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(spm,[status(thm)],[c_0_270,c_0_483]),
[final] ).
cnf(c_0_733,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(spm,[status(thm)],[c_0_317,c_0_483]),
[final] ).
cnf(c_0_734,plain,
~ product(e_5,e_2,e_2),
inference(spm,[status(thm)],[c_0_207,c_0_378]),
[final] ).
cnf(c_0_735,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(spm,[status(thm)],[c_0_144,c_0_361]),
[final] ).
cnf(c_0_736,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(spm,[status(thm)],[c_0_254,c_0_361]),
[final] ).
cnf(c_0_737,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_582]),c_0_345]),
[final] ).
cnf(c_0_738,negated_conjecture,
~ product(e_3,e_5,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_583]),c_0_345]),
[final] ).
cnf(c_0_739,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_584]),c_0_345]),
[final] ).
cnf(c_0_740,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_585]),c_0_345]),
[final] ).
cnf(c_0_741,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_586]),c_0_345]),
[final] ).
cnf(c_0_742,negated_conjecture,
~ product(e_2,e_1,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_351]),c_0_355]),
[final] ).
cnf(c_0_743,plain,
~ product(e_2,e_1,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_587]),c_0_76])]),
[final] ).
cnf(c_0_744,plain,
~ product(e_3,e_1,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_588]),c_0_76])]),
[final] ).
cnf(c_0_745,plain,
~ product(e_4,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_589]),c_0_76])]),
[final] ).
cnf(c_0_746,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_388]),c_0_169]),
[final] ).
cnf(c_0_747,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_590]),c_0_314])]),
[final] ).
cnf(c_0_748,negated_conjecture,
~ product(e_1,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_591]),c_0_314])]),
[final] ).
cnf(c_0_749,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_592]),c_0_314])]),
[final] ).
cnf(c_0_750,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_320,c_0_322]),
[final] ).
cnf(c_0_751,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_320,c_0_593]),
[final] ).
cnf(c_0_752,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_320,c_0_594]),
[final] ).
cnf(c_0_753,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_239,c_0_314]),
[final] ).
cnf(c_0_754,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(spm,[status(thm)],[c_0_266,c_0_314]),
[final] ).
cnf(c_0_755,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(spm,[status(thm)],[c_0_171,c_0_310]),
[final] ).
cnf(c_0_756,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(spm,[status(thm)],[c_0_595,c_0_311]),
[final] ).
cnf(c_0_757,plain,
~ product(e_3,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_596]),c_0_287])]),
[final] ).
cnf(c_0_758,plain,
~ product(e_3,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_597]),c_0_287])]),
[final] ).
cnf(c_0_759,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_598]),c_0_317]),
[final] ).
cnf(c_0_760,plain,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_236,c_0_76]),
[final] ).
cnf(c_0_761,plain,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_220,c_0_76]),
[final] ).
cnf(c_0_762,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_595,c_0_76]),
[final] ).
cnf(c_0_763,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_242,c_0_76]),
[final] ).
cnf(c_0_764,plain,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_355,c_0_76]),
[final] ).
cnf(c_0_765,plain,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_315,c_0_76]),
[final] ).
cnf(c_0_766,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_581,c_0_76]),
[final] ).
cnf(c_0_767,plain,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_346,c_0_76]),
[final] ).
cnf(c_0_768,plain,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_401,c_0_76]),
[final] ).
cnf(c_0_769,plain,
~ product(e_5,e_5,e_3),
inference(spm,[status(thm)],[c_0_599,c_0_76]),
[final] ).
cnf(c_0_770,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_771,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n004.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 20:00:04 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.51 Running first-order theorem proving
% 0.17/0.51 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
% 4.16/1.24 % Version: 3.5.1
% 4.16/1.24 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.16/1.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.16/1.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.16/1.24 % Starting new_bool_3 with 300s (1) cores
% 4.16/1.24 % Starting new_bool_1 with 300s (1) cores
% 4.16/1.24 % Starting sh5l with 300s (1) cores
% 4.16/1.24 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1360196 completed with status 1
% 4.16/1.24 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.16/1.24 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.16/1.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.16/1.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.16/1.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.16/1.24 % No SInE strategy applied
% 4.16/1.24 % Search class: FGHNF-FFMM00-SFFFFFNN
% 4.16/1.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.16/1.24 % Starting SubtermCWHack with 136s (1) cores
% 4.16/1.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.16/1.24 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 4.16/1.24 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 4.16/1.24 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.16/1.24 % G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1360206 completed with status 1
% 4.16/1.24 % Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 4.16/1.24 % Preprocessing class: FSMSSMSSSSSNFFN.
% 4.16/1.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.16/1.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.16/1.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.16/1.24 % No SInE strategy applied
% 4.16/1.24 % Search class: FGHNF-FFMM00-SFFFFFNN
% 4.16/1.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.16/1.24 % Starting SubtermCWHack with 136s (1) cores
% 4.16/1.24 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.16/1.24 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 4.16/1.24 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 4.16/1.24 % Preprocessing time : 0.002 s
% 4.16/1.24 % Presaturation interreduction done
% 4.16/1.24
% 4.16/1.24 % No proof found!
% 4.16/1.24 % SZS status Satisfiable
% 4.16/1.24 % SZS output start Saturation
% See solution above
% 4.16/1.25 % Parsed axioms : 58
% 4.16/1.25 % Removed by relevancy pruning/SinE : 0
% 4.16/1.25 % Initial clauses : 58
% 4.16/1.25 % Removed in clause preprocessing : 0
% 4.16/1.25 % Initial clauses in saturation : 58
% 4.16/1.25 % Processed clauses : 3383
% 4.16/1.25 % ...of these trivial : 71
% 4.16/1.25 % ...subsumed : 1509
% 4.16/1.25 % ...remaining for further processing : 1803
% 4.16/1.25 % Other redundant clauses eliminated : 0
% 4.16/1.25 % Clauses deleted for lack of memory : 0
% 4.16/1.25 % Backward-subsumed : 1013
% 4.16/1.25 % Backward-rewritten : 189
% 4.16/1.25 % Generated clauses : 6945
% 4.16/1.25 % ...of the previous two non-redundant : 6414
% 4.16/1.25 % ...aggressively subsumed : 0
% 4.16/1.25 % Contextual simplify-reflections : 229
% 4.16/1.25 % Paramodulations : 6836
% 4.16/1.25 % Factorizations : 0
% 4.16/1.25 % NegExts : 0
% 4.16/1.25 % Equation resolutions : 0
% 4.16/1.25 % Disequality decompositions : 0
% 4.16/1.25 % Total rewrite steps : 1891
% 4.16/1.25 % ...of those cached : 1844
% 4.16/1.25 % Propositional unsat checks : 0
% 4.16/1.25 % Propositional check models : 0
% 4.16/1.25 % Propositional check unsatisfiable : 0
% 4.16/1.25 % Propositional clauses : 0
% 4.16/1.25 % Propositional clauses after purity: 0
% 4.16/1.25 % Propositional unsat core size : 0
% 4.16/1.25 % Propositional preprocessing time : 0.000
% 4.16/1.25 % Propositional encoding time : 0.000
% 4.16/1.25 % Propositional solver time : 0.000
% 4.16/1.25 % Success case prop preproc time : 0.000
% 4.16/1.25 % Success case prop encoding time : 0.000
% 4.16/1.25 % Success case prop solver time : 0.000
% 4.16/1.25 % Current number of processed clauses : 434
% 4.16/1.25 % Positive orientable unit clauses : 49
% 4.16/1.25 % Positive unorientable unit clauses: 0
% 4.16/1.25 % Negative unit clauses : 124
% 4.16/1.25 % Non-unit-clauses : 261
% 4.16/1.25 % Current number of unprocessed clauses: 0
% 4.16/1.25 % ...number of literals in the above : 0
% 4.16/1.25 % Current number of archived formulas : 0
% 4.16/1.25 % Current number of archived clauses : 1369
% 4.16/1.25 % Clause-clause subsumption calls (NU) : 254101
% 4.16/1.25 % Rec. Clause-clause subsumption calls : 74287
% 4.16/1.25 % Non-unit clause-clause subsumptions : 1232
% 4.16/1.25 % Unit Clause-clause subsumption calls : 27166
% 4.16/1.25 % Rewrite failures with RHS unbound : 0
% 4.16/1.25 % BW rewrite match attempts : 113
% 4.16/1.25 % BW rewrite match successes : 20
% 4.16/1.25 % Condensation attempts : 0
% 4.16/1.25 % Condensation successes : 0
% 4.16/1.25 % Termbank termtop insertions : 96313
% 4.16/1.25 % Search garbage collected termcells : 114
% 4.16/1.25
% 4.16/1.25 % -------------------------------------------------
% 4.16/1.25 % User time : 0.640 s
% 4.16/1.25 % System time : 0.008 s
% 4.16/1.25 % Total time : 0.648 s
% 4.16/1.25 % Maximum resident set size: 3664 pages
% 4.16/1.25
% 4.16/1.25 % -------------------------------------------------
% 4.16/1.25 % User time : 3.320 s
% 4.16/1.25 % System time : 0.061 s
% 4.16/1.25 % Total time : 3.380 s
% 4.16/1.25 % Maximum resident set size: 4608 pages
% 4.16/1.25 % E exiting
%------------------------------------------------------------------------------