%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP133-2.004 : 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 : n001.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 12:38:42 PM UTC 2026
% Result : Satisfiable 3.10s 0.94s
% Output : Saturation 3.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_31ERROR: Could not build tree for root c_0_37ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_33,plain,
( ~ group_element(X2)
| ~ group_element(X1)
| product(X1,X2,e_4)
| product(X1,X2,e_3)
| product(X1,X2,e_2)
| product(X1,X2,e_1) ),
c_0_31,
[final] ).
cnf(c_0_34,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_35,plain,
( ~ greater(X2,X3)
| ~ next(X1,X3)
| ~ product(X1,e_1,X2) ),
c_0_32,
[final] ).
cnf(c_0_36,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_37,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) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]),
[final] ).
cnf(c_0_38,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]),
[final] ).
cnf(c_0_39,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_40,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_44,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_38,c_0_39]),
[final] ).
cnf(c_0_45,plain,
( ~ next(X1,e_2)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_40]),
[final] ).
cnf(c_0_46,plain,
~ equalish(e_2,e_1),
c_0_41,
[final] ).
cnf(c_0_47,plain,
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X3)
| equalish(X1,X4) ),
c_0_42,
[final] ).
cnf(c_0_49,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_45,c_0_39]),
[final] ).
cnf(c_0_50,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_52,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_53,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(sr,[status(thm)],[c_0_48,c_0_49]),
[final] ).
cnf(c_0_54,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_55,plain,
( ~ next(X1,e_3)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_50]),
[final] ).
cnf(c_0_56,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_58,negated_conjecture,
( ~ product(X2,X1,X4)
| ~ product(X1,X2,X3)
| product(X3,X4,X1) ),
c_0_51,
[final] ).
cnf(c_0_61,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_62,plain,
( ~ product(X1,X4,X3)
| ~ product(X1,X2,X3)
| equalish(X2,X4) ),
c_0_57,
[final] ).
cnf(c_0_65,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_62]),
[final] ).
cnf(c_0_69,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) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]),
[final] ).
cnf(c_0_74,plain,
~ equalish(e_2,e_3),
c_0_70,
[final] ).
cnf(c_0_77,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_62]),
[final] ).
cnf(c_0_85,plain,
~ equalish(e_3,e_4),
c_0_81,
[final] ).
cnf(c_0_87,plain,
( ~ product(X1,X2,X4)
| ~ product(X1,X2,X3)
| equalish(X3,X4) ),
c_0_83,
[final] ).
cnf(c_0_89,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_62]),
[final] ).
cnf(c_0_91,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_46,c_0_87]),
[final] ).
cnf(c_0_96,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_47]),
[final] ).
cnf(c_0_98,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_47]),
[final] ).
cnf(c_0_99,plain,
~ equalish(e_1,e_3),
c_0_94,
[final] ).
cnf(c_0_101,plain,
~ equalish(e_2,e_4),
c_0_95,
[final] ).
cnf(c_0_102,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_105,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_47]),
[final] ).
cnf(c_0_107,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_62]),
[final] ).
cnf(c_0_108,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) ),
inference(spm,[status(thm)],[c_0_33,c_0_102]),
[final] ).
cnf(c_0_109,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_114,plain,
~ equalish(e_1,e_4),
c_0_110,
[final] ).
cnf(c_0_117,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_47]),
[final] ).
cnf(c_0_120,plain,
( ~ product(e_4,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_53]),
[final] ).
cnf(c_0_121,plain,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_53]),
[final] ).
cnf(c_0_122,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_47]),
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_62]),
[final] ).
cnf(c_0_127,negated_conjecture,
( ~ product(e_1,e_1,X1)
| ~ product(e_3,e_1,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_121]),
[final] ).
cnf(c_0_130,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) ),
inference(spm,[status(thm)],[c_0_33,c_0_109]),
[final] ).
cnf(c_0_134,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_74,c_0_87]),
[final] ).
cnf(c_0_136,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_62]),
[final] ).
cnf(c_0_141,plain,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_53]),
[final] ).
cnf(c_0_142,negated_conjecture,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_115]),c_0_132]),
[final] ).
cnf(c_0_144,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_98]),c_0_136]),
[final] ).
cnf(c_0_149,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_121]),
[final] ).
cnf(c_0_151,negated_conjecture,
( ~ product(e_3,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_96,c_0_142]),
[final] ).
cnf(c_0_155,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),
[final] ).
cnf(c_0_156,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_128,c_0_144]),
[final] ).
cnf(c_0_174,plain,
( ~ product(e_1,e_4,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_53]),
[final] ).
cnf(c_0_184,negated_conjecture,
( ~ product(e_1,e_1,X1)
| ~ product(e_1,e_4,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_174]),
[final] ).
cnf(c_0_185,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_108,c_0_34]),
[final] ).
cnf(c_0_187,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),
[final] ).
cnf(c_0_188,negated_conjecture,
( ~ product(e_4,e_4,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_142]),
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ product(e_1,e_1,X1)
| product(X1,e_2,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]),
[final] ).
cnf(c_0_195,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_173]),c_0_186]),
[final] ).
cnf(c_0_196,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_187]),c_0_124]),
[final] ).
cnf(c_0_198,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_174]),
[final] ).
cnf(c_0_203,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_3,e_3,e_3)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_196]),
[final] ).
cnf(c_0_204,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_197]),c_0_107]),
[final] ).
cnf(c_0_205,plain,
( ~ product(e_1,e_3,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_185]),c_0_89]),
[final] ).
cnf(c_0_213,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_121]),
[final] ).
cnf(c_0_216,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_101,c_0_87]),
[final] ).
cnf(c_0_232,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_99,c_0_87]),
[final] ).
cnf(c_0_241,negated_conjecture,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_234]),c_0_235]),
[final] ).
cnf(c_0_244,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_114,c_0_87]),
[final] ).
cnf(c_0_247,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_177]),
[final] ).
cnf(c_0_250,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_243]),c_0_244]),c_0_232]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_247]),
[final] ).
cnf(c_0_256,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_250]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_254,c_0_247]),
[final] ).
cnf(c_0_261,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_244]),
[final] ).
cnf(c_0_274,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_229]),c_0_124]),
[final] ).
cnf(c_0_277,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_144]),c_0_272]),
[final] ).
cnf(c_0_278,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_4,e_2,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_122]),c_0_124]),
[final] ).
cnf(c_0_281,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_277]),c_0_244]),
[final] ).
cnf(c_0_282,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_4,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_278]),c_0_124]),
[final] ).
cnf(c_0_284,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_278]),c_0_124]),
[final] ).
cnf(c_0_287,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]),
[final] ).
cnf(c_0_291,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_229]),c_0_140]),
[final] ).
cnf(c_0_292,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_287]),
[final] ).
cnf(c_0_293,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_288]),c_0_289]),
[final] ).
cnf(c_0_304,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_300]),c_0_134]),c_0_105]),
[final] ).
cnf(c_0_309,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_105,c_0_287]),
[final] ).
cnf(c_0_310,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(sr,[status(thm)],[c_0_153,c_0_304]),
[final] ).
cnf(c_0_315,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_98,c_0_310]),
[final] ).
cnf(c_0_316,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_304,c_0_311]),
[final] ).
cnf(c_0_318,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]),
[final] ).
cnf(c_0_319,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_257,c_0_281]),
[final] ).
cnf(c_0_320,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_303,c_0_316]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_318,c_0_319]),
[final] ).
cnf(c_0_324,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_320]),c_0_65]),
[final] ).
cnf(c_0_328,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_192]),c_0_65]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[c_0_321,c_0_144]),
[final] ).
cnf(c_0_332,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]),
[final] ).
cnf(c_0_333,negated_conjecture,
~ product(e_4,e_3,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_301]),c_0_122]),c_0_96]),
[final] ).
cnf(c_0_335,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_252]),c_0_327]),c_0_77]),
[final] ).
cnf(c_0_336,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_328]),
[final] ).
cnf(c_0_341,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_331,c_0_250]),
[final] ).
cnf(c_0_342,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_332]),c_0_324]),c_0_333]),
[final] ).
cnf(c_0_343,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_98]),c_0_336]),c_0_337]),
[final] ).
cnf(c_0_346,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_342]),c_0_324]),
[final] ).
cnf(c_0_350,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_346]),c_0_347]),
[final] ).
cnf(c_0_356,negated_conjecture,
product(e_3,e_4,e_2),
inference(sr,[status(thm)],[c_0_157,c_0_324]),
[final] ).
cnf(c_0_363,negated_conjecture,
( product(e_1,e_3,e_2)
| product(e_4,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_355]),c_0_356])]),
[final] ).
cnf(c_0_367,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_337]),
[final] ).
cnf(c_0_372,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_233,c_0_324]),c_0_350]),
[final] ).
cnf(c_0_373,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_363]),
[final] ).
cnf(c_0_374,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_170,c_0_304]),
[final] ).
cnf(c_0_377,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_366,c_0_144]),c_0_367]),c_0_368]),
[final] ).
cnf(c_0_381,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_372]),
[final] ).
cnf(c_0_383,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_196]),c_0_374]),
[final] ).
cnf(c_0_384,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_3,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_258]),
[final] ).
cnf(c_0_386,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_375,c_0_281]),c_0_268]),
[final] ).
cnf(c_0_389,plain,
( ~ product(e_3,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_377]),
[final] ).
cnf(c_0_390,negated_conjecture,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_189,c_0_350]),
[final] ).
cnf(c_0_396,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_383]),
[final] ).
cnf(c_0_398,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_275,c_0_324]),
[final] ).
cnf(c_0_399,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_4,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_386]),
[final] ).
cnf(c_0_400,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(sr,[status(thm)],[c_0_182,c_0_324]),
[final] ).
cnf(c_0_401,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_374]),c_0_388]),
[final] ).
cnf(c_0_403,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_71,c_0_324]),
[final] ).
cnf(c_0_404,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_122,c_0_390]),
[final] ).
cnf(c_0_407,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_151,c_0_196]),
[final] ).
cnf(c_0_408,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_298,c_0_304]),
[final] ).
cnf(c_0_409,negated_conjecture,
( ~ product(e_4,e_4,e_4)
| product(e_2,e_4,e_1)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_392]),c_0_122]),
[final] ).
cnf(c_0_410,plain,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_393]),c_0_77]),
[final] ).
cnf(c_0_412,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_395]),c_0_356])]),
[final] ).
cnf(c_0_413,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_396,c_0_383]),
[final] ).
cnf(c_0_414,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_397]),c_0_310]),
[final] ).
cnf(c_0_415,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_398]),
[final] ).
cnf(c_0_416,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_400]),c_0_401]),
[final] ).
cnf(c_0_417,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_205,c_0_309]),
[final] ).
cnf(c_0_418,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_402]),c_0_403])]),
[final] ).
cnf(c_0_419,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_404]),
[final] ).
cnf(c_0_427,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_412]),
[final] ).
cnf(c_0_428,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_413]),
[final] ).
cnf(c_0_429,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_98,c_0_414]),
[final] ).
cnf(c_0_430,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_415,c_0_416]),
[final] ).
cnf(c_0_431,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_400]),
[final] ).
cnf(c_0_432,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_96,c_0_400]),
[final] ).
cnf(c_0_434,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[c_0_176,c_0_324]),
[final] ).
cnf(c_0_435,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_419,c_0_400]),
[final] ).
cnf(c_0_436,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_421]),c_0_239]),
[final] ).
cnf(c_0_437,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_422]),c_0_403])]),
[final] ).
cnf(c_0_440,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_107,c_0_356]),
[final] ).
cnf(c_0_445,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_85,c_0_87]),
[final] ).
cnf(c_0_448,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_427,c_0_400]),
[final] ).
cnf(c_0_449,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_165]),c_0_124]),
[final] ).
cnf(c_0_450,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]),
[final] ).
cnf(c_0_451,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_3,e_3)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_309]),
[final] ).
cnf(c_0_452,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_429]),c_0_416]),
[final] ).
cnf(c_0_453,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_415,c_0_432]),
[final] ).
cnf(c_0_454,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_433]),c_0_434])]),
[final] ).
cnf(c_0_456,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_415,c_0_435]),
[final] ).
cnf(c_0_457,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_4)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_436]),
[final] ).
cnf(c_0_458,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_65,c_0_437]),
[final] ).
cnf(c_0_459,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_438,c_0_372]),
[final] ).
cnf(c_0_460,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_282]),c_0_52]),
[final] ).
cnf(c_0_462,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_325,c_0_367]),c_0_440]),
[final] ).
cnf(c_0_464,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_214,c_0_324]),c_0_350]),
[final] ).
cnf(c_0_469,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_271]),c_0_144]),c_0_245]),
[final] ).
cnf(c_0_471,negated_conjecture,
( ~ product(e_1,e_1,X1)
| ~ product(e_1,e_3,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_141]),
[final] ).
cnf(c_0_474,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_415,c_0_448]),
[final] ).
cnf(c_0_477,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_451,c_0_418]),
[final] ).
cnf(c_0_481,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_453]),c_0_65]),
[final] ).
cnf(c_0_482,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_445,c_0_430]),
[final] ).
cnf(c_0_483,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_445,c_0_414]),
[final] ).
cnf(c_0_484,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_454]),
[final] ).
cnf(c_0_485,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_437]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_455]),c_0_434])]),
[final] ).
cnf(c_0_487,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_445,c_0_456]),
[final] ).
cnf(c_0_488,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_451,c_0_408]),
[final] ).
cnf(c_0_489,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_457,c_0_400]),c_0_458]),
[final] ).
cnf(c_0_490,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_445,c_0_284]),
[final] ).
cnf(c_0_491,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_107,c_0_459]),
[final] ).
cnf(c_0_492,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_460,c_0_261]),
[final] ).
cnf(c_0_493,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_461,c_0_316]),
[final] ).
cnf(c_0_494,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(spm,[status(thm)],[c_0_445,c_0_434]),
[final] ).
cnf(c_0_495,plain,
( ~ product(e_2,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_98,c_0_462]),
[final] ).
cnf(c_0_497,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_250]),c_0_333]),
[final] ).
cnf(c_0_498,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_213,c_0_464]),
[final] ).
cnf(c_0_499,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_2,e_3,e_2)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_284]),
[final] ).
cnf(c_0_500,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_2,e_3,e_2)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_282]),
[final] ).
cnf(c_0_501,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_3,e_2)
| product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_278]),
[final] ).
cnf(c_0_502,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_261]),
[final] ).
cnf(c_0_507,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_469]),c_0_470]),
[final] ).
cnf(c_0_508,negated_conjecture,
( ~ product(e_1,e_1,X1)
| ~ product(e_4,e_1,e_1)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_120]),
[final] ).
cnf(c_0_512,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_449,c_0_474]),
[final] ).
cnf(c_0_513,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_475,c_0_304]),
[final] ).
cnf(c_0_514,negated_conjecture,
( product(e_3,e_3,e_4)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_476]),c_0_434])]),
[final] ).
cnf(c_0_515,plain,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_120]),
[final] ).
cnf(c_0_516,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_196]),c_0_418]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_478]),c_0_434])]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_1,e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_479]),c_0_434])]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_4,e_1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_480]),c_0_403])]),
[final] ).
cnf(c_0_520,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_3,e_2,e_3)
| product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_481]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_2,e_3,e_4)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_482,c_0_418]),
[final] ).
cnf(c_0_522,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_483,c_0_418]),
[final] ).
cnf(c_0_523,negated_conjecture,
( product(e_3,e_2,e_3)
| product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_484,c_0_287]),
[final] ).
cnf(c_0_524,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_98,c_0_474]),
[final] ).
cnf(c_0_525,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_122,c_0_448]),
[final] ).
cnf(c_0_526,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_485,c_0_486]),
[final] ).
cnf(c_0_527,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_449,c_0_414]),
[final] ).
cnf(c_0_528,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_449,c_0_430]),
[final] ).
cnf(c_0_529,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_487,c_0_418]),
[final] ).
cnf(c_0_530,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_488,c_0_489]),
[final] ).
cnf(c_0_531,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_490,c_0_418]),
[final] ).
cnf(c_0_533,negated_conjecture,
( product(e_2,e_4,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_491,c_0_400]),
[final] ).
cnf(c_0_534,negated_conjecture,
( product(e_1,e_3,e_3)
| product(e_2,e_2,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_494]),
[final] ).
cnf(c_0_535,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_495]),
[final] ).
cnf(c_0_536,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_2,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_241]),
[final] ).
cnf(c_0_537,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_320]),c_0_52]),
[final] ).
cnf(c_0_538,negated_conjecture,
( product(e_4,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_416]),c_0_324]),
[final] ).
cnf(c_0_539,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_317,c_0_324]),
[final] ).
cnf(c_0_540,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_226,c_0_324]),
[final] ).
cnf(c_0_541,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_466,c_0_324]),
[final] ).
cnf(c_0_542,negated_conjecture,
( product(e_3,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_496,c_0_324]),
[final] ).
cnf(c_0_543,negated_conjecture,
( product(e_4,e_2,e_3)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_467,c_0_324]),
[final] ).
cnf(c_0_544,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_306,c_0_324]),
[final] ).
cnf(c_0_545,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_313,c_0_324]),
[final] ).
cnf(c_0_546,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(sr,[status(thm)],[c_0_180,c_0_324]),
[final] ).
cnf(c_0_547,negated_conjecture,
( product(e_3,e_3,e_3)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_220,c_0_324]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_4,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_192,c_0_324]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_415,c_0_497]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_372]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_498]),c_0_324]),
[final] ).
cnf(c_0_552,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_499,c_0_261]),
[final] ).
cnf(c_0_553,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_500,c_0_261]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_501,c_0_261]),
[final] ).
cnf(c_0_555,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(X1,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_502,c_0_493]),
[final] ).
cnf(c_0_556,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_250]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_3,e_3,e_3) ),
inference(sr,[status(thm)],[c_0_503,c_0_304]),
[final] ).
cnf(c_0_558,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_4,e_4,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_432]),c_0_324]),
[final] ).
cnf(c_0_559,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_320]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[c_0_504,c_0_324]),
[final] ).
cnf(c_0_561,negated_conjecture,
( product(e_3,e_1,e_4)
| product(e_2,e_4,e_4) ),
inference(sr,[status(thm)],[c_0_505,c_0_324]),
[final] ).
cnf(c_0_562,negated_conjecture,
product(e_4,e_3,e_1),
inference(sr,[status(thm)],[c_0_115,c_0_324]),
[final] ).
cnf(c_0_563,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_320]),
[final] ).
cnf(c_0_565,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_449,c_0_284]),
[final] ).
cnf(c_0_566,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_1) ),
inference(sr,[status(thm)],[c_0_202,c_0_507]),
[final] ).
cnf(c_0_568,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_221]),c_0_91]),
[final] ).
cnf(c_0_569,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_1,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_328]),c_0_65]),
[final] ).
cnf(c_0_570,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_124,c_0_330]),
[final] ).
cnf(c_0_573,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_141]),
[final] ).
cnf(c_0_574,plain,
( ~ product(e_1,e_4,e_1)
| ~ product(e_4,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_174]),
[final] ).
cnf(c_0_576,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_577,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_578,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_590,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_512]),
[final] ).
cnf(c_0_591,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_513]),
[final] ).
cnf(c_0_592,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_514]),
[final] ).
cnf(c_0_593,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_514]),
[final] ).
cnf(c_0_594,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_514]),
[final] ).
cnf(c_0_595,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_514]),
[final] ).
cnf(c_0_596,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_450]),
[final] ).
cnf(c_0_597,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_515,c_0_450]),
[final] ).
cnf(c_0_598,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_516]),
[final] ).
cnf(c_0_599,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_512]),
[final] ).
cnf(c_0_600,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_517]),
[final] ).
cnf(c_0_601,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_518]),
[final] ).
cnf(c_0_602,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_454]),
[final] ).
cnf(c_0_603,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_519]),
[final] ).
cnf(c_0_604,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_474]),
[final] ).
cnf(c_0_605,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_448]),
[final] ).
cnf(c_0_606,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_412]),
[final] ).
cnf(c_0_607,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_89,c_0_517]),
[final] ).
cnf(c_0_608,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_517]),
[final] ).
cnf(c_0_609,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_518]),
[final] ).
cnf(c_0_610,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_518]),
[final] ).
cnf(c_0_611,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_518]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_452]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_520,c_0_521]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_521]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_520,c_0_522]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_3,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_522]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_515,c_0_523]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_117,c_0_454]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_454]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_519]),
[final] ).
cnf(c_0_621,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_203,c_0_418]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_3,e_3)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_418]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_524]),
[final] ).
cnf(c_0_624,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_3,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_445,c_0_474]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_525]),
[final] ).
cnf(c_0_626,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_526]),
[final] ).
cnf(c_0_627,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_4,e_1)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_527]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_528]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_515,c_0_363]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_4,e_4)
| product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_520,c_0_529]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_4,e_4)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_529]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_530]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_2)
| product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_520,c_0_531]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_515,c_0_452]),
[final] ).
cnf(c_0_635,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_3,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_532]),c_0_232]),
[final] ).
cnf(c_0_636,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_2,e_3,e_2)
| product(X1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_531]),
[final] ).
cnf(c_0_637,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_2,e_2)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_533]),
[final] ).
cnf(c_0_638,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_459]),
[final] ).
cnf(c_0_639,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_4,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_464]),
[final] ).
cnf(c_0_640,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_534]),
[final] ).
cnf(c_0_641,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_535,c_0_493]),
[final] ).
cnf(c_0_642,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_486]),
[final] ).
cnf(c_0_643,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,e_1)
| product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_520,c_0_495]),
[final] ).
cnf(c_0_644,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_462]),
[final] ).
cnf(c_0_645,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_429]),c_0_537]),
[final] ).
cnf(c_0_646,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_414]),
[final] ).
cnf(c_0_647,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_1,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_449,c_0_456]),
[final] ).
cnf(c_0_648,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_390]),
[final] ).
cnf(c_0_649,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| ~ product(e_1,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_481]),
[final] ).
cnf(c_0_650,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_430]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_538]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_2,e_2)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_416]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_398]),
[final] ).
cnf(c_0_654,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_539]),
[final] ).
cnf(c_0_655,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_540]),
[final] ).
cnf(c_0_656,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_541]),
[final] ).
cnf(c_0_657,negated_conjecture,
( ~ product(e_2,e_3,X1)
| product(X1,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_542]),
[final] ).
cnf(c_0_658,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_3,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_543]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_544]),
[final] ).
cnf(c_0_660,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_545]),
[final] ).
cnf(c_0_661,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_546]),
[final] ).
cnf(c_0_662,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_451,c_0_547]),
[final] ).
cnf(c_0_663,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_203,c_0_547]),
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_3,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_547]),
[final] ).
cnf(c_0_665,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_2,e_2)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_548]),
[final] ).
cnf(c_0_666,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_489]),
[final] ).
cnf(c_0_667,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_445,c_0_489]),
[final] ).
cnf(c_0_668,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| ~ product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_445,c_0_549]),
[final] ).
cnf(c_0_669,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,e_2,e_2)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_550]),
[final] ).
cnf(c_0_670,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_3,e_1,e_1)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_551]),
[final] ).
cnf(c_0_671,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_1,e_1)
| product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_498]),
[final] ).
cnf(c_0_672,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_551]),
[final] ).
cnf(c_0_673,negated_conjecture,
( ~ product(e_1,e_1,X1)
| product(X1,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_320]),
[final] ).
cnf(c_0_674,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_4,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_552,c_0_493]),
[final] ).
cnf(c_0_675,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_553,c_0_493]),
[final] ).
cnf(c_0_676,negated_conjecture,
( ~ product(e_2,e_4,X1)
| product(X1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_554,c_0_493]),
[final] ).
cnf(c_0_677,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_462]),c_0_494]),
[final] ).
cnf(c_0_678,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_4,e_4)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_556,c_0_493]),
[final] ).
cnf(c_0_679,negated_conjecture,
( ~ product(e_2,e_2,X1)
| product(X1,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_493]),
[final] ).
cnf(c_0_680,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_417,c_0_315]),
[final] ).
cnf(c_0_681,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_407,c_0_315]),
[final] ).
cnf(c_0_682,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_429]),
[final] ).
cnf(c_0_683,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_2,e_4,e_4)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_456]),
[final] ).
cnf(c_0_684,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_117,c_0_486]),
[final] ).
cnf(c_0_685,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_89,c_0_486]),
[final] ).
cnf(c_0_686,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_486]),
[final] ).
cnf(c_0_687,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_2,e_4,e_4)
| product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_435]),
[final] ).
cnf(c_0_688,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_2,e_4,e_4)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_404]),
[final] ).
cnf(c_0_689,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,e_2,e_3)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_453]),
[final] ).
cnf(c_0_690,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_203,c_0_408]),
[final] ).
cnf(c_0_691,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_3,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_408]),
[final] ).
cnf(c_0_692,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_451,c_0_557]),
[final] ).
cnf(c_0_693,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_4,e_1)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_203,c_0_557]),
[final] ).
cnf(c_0_694,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_3,e_2,e_3)
| product(X1,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_558]),
[final] ).
cnf(c_0_695,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_3,e_2,e_3)
| product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_432]),
[final] ).
cnf(c_0_696,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_451,c_0_315]),
[final] ).
cnf(c_0_697,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_203,c_0_315]),
[final] ).
cnf(c_0_698,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_2,e_3,e_4)
| product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_315]),
[final] ).
cnf(c_0_699,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_557]),
[final] ).
cnf(c_0_700,negated_conjecture,
( ~ product(e_4,e_4,X1)
| product(X1,e_3,e_4)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_374]),
[final] ).
cnf(c_0_701,negated_conjecture,
( ~ product(e_3,e_3,X1)
| product(X1,e_4,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_310]),
[final] ).
cnf(c_0_702,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_343]),
[final] ).
cnf(c_0_703,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_107,c_0_346]),
[final] ).
cnf(c_0_704,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_2,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_538]),
[final] ).
cnf(c_0_705,negated_conjecture,
( product(e_2,e_2,e_2)
| product(e_3,e_3,e_4) ),
inference(spm,[status(thm)],[c_0_559,c_0_398]),
[final] ).
cnf(c_0_706,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_124,c_0_560]),
[final] ).
cnf(c_0_707,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_445,c_0_560]),
[final] ).
cnf(c_0_708,negated_conjecture,
( ~ product(e_3,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_561]),
[final] ).
cnf(c_0_709,negated_conjecture,
( ~ product(e_3,e_1,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_445,c_0_561]),
[final] ).
cnf(c_0_710,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_117,c_0_540]),
[final] ).
cnf(c_0_711,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_89,c_0_540]),
[final] ).
cnf(c_0_712,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_540]),
[final] ).
cnf(c_0_713,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_65,c_0_544]),
[final] ).
cnf(c_0_714,negated_conjecture,
( ~ product(e_4,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_545]),
[final] ).
cnf(c_0_715,negated_conjecture,
( ~ product(e_1,e_3,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_545]),
[final] ).
cnf(c_0_716,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_545]),
[final] ).
cnf(c_0_717,negated_conjecture,
( ~ product(e_4,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_65,c_0_546]),
[final] ).
cnf(c_0_718,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_547]),
[final] ).
cnf(c_0_719,negated_conjecture,
( ~ product(e_2,e_1,X1)
| product(X1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_434]),
[final] ).
cnf(c_0_720,negated_conjecture,
( ~ product(e_4,e_3,X1)
| product(X1,e_2,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_356]),
[final] ).
cnf(c_0_721,negated_conjecture,
( ~ product(e_3,e_4,X1)
| product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_562]),
[final] ).
cnf(c_0_722,negated_conjecture,
( ~ product(e_1,e_2,X1)
| product(X1,e_3,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_403]),
[final] ).
cnf(c_0_723,negated_conjecture,
( product(e_2,e_4,e_4)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_229,c_0_324]),
[final] ).
cnf(c_0_724,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_563,c_0_309]),
[final] ).
cnf(c_0_725,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_320]),
[final] ).
cnf(c_0_726,negated_conjecture,
( ~ product(e_2,e_3,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_315]),
[final] ).
cnf(c_0_727,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_408]),
[final] ).
cnf(c_0_728,negated_conjecture,
( ~ product(e_3,e_2,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_77,c_0_557]),
[final] ).
cnf(c_0_729,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_374]),
[final] ).
cnf(c_0_730,negated_conjecture,
( product(e_2,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_564,c_0_304]),
[final] ).
cnf(c_0_731,negated_conjecture,
( product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(sr,[status(thm)],[c_0_301,c_0_304]),
[final] ).
cnf(c_0_732,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_309]),
[final] ).
cnf(c_0_733,negated_conjecture,
( ~ product(e_2,e_2,e_1)
| product(e_3,e_1,e_3)
| product(e_1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_565,c_0_261]),
[final] ).
cnf(c_0_734,negated_conjecture,
( ~ product(e_3,e_3,e_3)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_515,c_0_309]),
[final] ).
cnf(c_0_735,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_3,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_275]),c_0_140]),
[final] ).
cnf(c_0_736,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_244,c_0_436]),
[final] ).
cnf(c_0_737,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(X1,e_4,e_3)
| product(e_2,e_3,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_319]),
[final] ).
cnf(c_0_738,negated_conjecture,
( ~ product(e_3,e_2,X1)
| product(X1,e_4,e_3)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_277]),
[final] ).
cnf(c_0_739,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_4)
| product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_566]),
[final] ).
cnf(c_0_740,negated_conjecture,
( ~ product(e_4,e_2,X1)
| product(X1,e_1,e_4)
| product(e_2,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_58,c_0_469]),
[final] ).
cnf(c_0_741,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_406]),c_0_140]),
[final] ).
cnf(c_0_742,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_2,e_3,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_406]),c_0_126]),
[final] ).
cnf(c_0_743,negated_conjecture,
( ~ product(e_4,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_4,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_567]),c_0_122]),
[final] ).
cnf(c_0_744,negated_conjecture,
( ~ product(e_4,e_2,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_247]),
[final] ).
cnf(c_0_745,negated_conjecture,
( ~ product(e_2,e_4,e_4)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_107]),
[final] ).
cnf(c_0_746,negated_conjecture,
( ~ product(e_1,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_1,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_475]),c_0_105]),
[final] ).
cnf(c_0_747,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_568]),
[final] ).
cnf(c_0_748,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_244,c_0_568]),
[final] ).
cnf(c_0_749,negated_conjecture,
( ~ product(e_3,e_1,X1)
| product(X1,e_3,e_3)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_187]),
[final] ).
cnf(c_0_750,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_4,e_1) ),
inference(spm,[status(thm)],[c_0_203,c_0_328]),
[final] ).
cnf(c_0_751,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| ~ product(e_4,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_107,c_0_282]),
[final] ).
cnf(c_0_752,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_206]),c_0_126]),
[final] ).
cnf(c_0_753,negated_conjecture,
( ~ product(e_2,e_3,e_2)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_206]),c_0_124]),
[final] ).
cnf(c_0_754,negated_conjecture,
( ~ product(e_3,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_180]),c_0_140]),
[final] ).
cnf(c_0_755,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,e_3,e_2)
| product(X1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_274]),
[final] ).
cnf(c_0_756,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_2,e_4,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_229]),c_0_126]),
[final] ).
cnf(c_0_757,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_149,c_0_569]),
[final] ).
cnf(c_0_758,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| ~ product(e_4,e_1,e_1) ),
inference(spm,[status(thm)],[c_0_515,c_0_569]),
[final] ).
cnf(c_0_759,negated_conjecture,
( ~ product(e_1,e_1,X1)
| product(X1,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_127,c_0_156]),
[final] ).
cnf(c_0_760,negated_conjecture,
( ~ product(e_1,e_3,X1)
| product(X1,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_156]),
[final] ).
cnf(c_0_761,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_570,c_0_569]),
[final] ).
cnf(c_0_762,negated_conjecture,
( ~ product(e_2,e_2,e_2)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_205,c_0_569]),
[final] ).
cnf(c_0_763,negated_conjecture,
( ~ product(e_3,e_1,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_2,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_569]),
[final] ).
cnf(c_0_764,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_3,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_328]),
[final] ).
cnf(c_0_765,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_424]),c_0_89]),
[final] ).
cnf(c_0_766,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_330]),
[final] ).
cnf(c_0_767,plain,
( ~ product(e_3,e_4,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_136,c_0_156]),
[final] ).
cnf(c_0_768,plain,
( ~ product(e_3,e_2,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_65,c_0_156]),
[final] ).
cnf(c_0_769,negated_conjecture,
( ~ product(e_1,e_4,X1)
| product(X1,e_4,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_142]),
[final] ).
cnf(c_0_770,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,e_2,e_2)
| product(X1,e_4,e_3) ),
inference(spm,[status(thm)],[c_0_58,c_0_335]),
[final] ).
cnf(c_0_771,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_3,e_2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_92]),c_0_126]),c_0_124]),
[final] ).
cnf(c_0_772,negated_conjecture,
( ~ product(e_4,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_321]),c_0_96]),
[final] ).
cnf(c_0_773,negated_conjecture,
( ~ product(e_1,e_3,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_141]),c_0_573]),
[final] ).
cnf(c_0_774,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_174]),c_0_574]),
[final] ).
cnf(c_0_775,negated_conjecture,
( ~ product(e_1,e_4,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_575]),c_0_89]),
[final] ).
cnf(c_0_776,negated_conjecture,
( ~ product(e_1,e_4,e_1)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_174]),c_0_198]),
[final] ).
cnf(c_0_777,negated_conjecture,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_1,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_53]),c_0_68]),
[final] ).
cnf(c_0_778,negated_conjecture,
( ~ product(e_4,e_1,e_1)
| product(e_3,e_3,e_1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_103]),c_0_126]),c_0_124]),
[final] ).
cnf(c_0_779,negated_conjecture,
( ~ product(e_1,e_3,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_78]),c_0_77]),
[final] ).
cnf(c_0_780,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_121]),
[final] ).
cnf(c_0_781,plain,
( ~ product(e_4,e_1,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_120]),
[final] ).
cnf(c_0_782,negated_conjecture,
( ~ product(e_4,e_1,X1)
| product(X1,e_1,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_58,c_0_185]),
[final] ).
cnf(c_0_783,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_4,e_2) ),
inference(spm,[status(thm)],[c_0_136,c_0_141]),
[final] ).
cnf(c_0_784,plain,
( ~ product(e_4,e_1,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_574,c_0_185]),
[final] ).
cnf(c_0_785,plain,
( ~ product(e_1,e_3,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_89,c_0_185]),
[final] ).
cnf(c_0_786,plain,
( ~ product(e_3,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_105,c_0_185]),
[final] ).
cnf(c_0_787,plain,
( ~ product(e_4,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_117,c_0_185]),
[final] ).
cnf(c_0_788,plain,
( ~ product(e_2,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(spm,[status(thm)],[c_0_52,c_0_185]),
[final] ).
cnf(c_0_789,negated_conjecture,
( ~ product(e_1,e_1,X1)
| product(X1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_58,c_0_53]),
[final] ).
cnf(c_0_790,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_35,c_0_576]),
[final] ).
cnf(c_0_791,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_3) ),
inference(spm,[status(thm)],[c_0_35,c_0_577]),
[final] ).
cnf(c_0_792,plain,
( ~ next(X1,e_1)
| ~ product(X1,e_1,e_4) ),
inference(spm,[status(thm)],[c_0_35,c_0_578]),
[final] ).
cnf(c_0_793,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_117,c_0_434]),
[final] ).
cnf(c_0_794,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(spm,[status(thm)],[c_0_96,c_0_562]),
[final] ).
cnf(c_0_795,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_244,c_0_562]),
[final] ).
cnf(c_0_796,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_579,c_0_403])]),
[final] ).
cnf(c_0_797,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_580]),c_0_581]),
[final] ).
cnf(c_0_798,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_319]),c_0_134]),
[final] ).
cnf(c_0_799,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_469]),c_0_77]),
[final] ).
cnf(c_0_800,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_206]),c_0_72]),c_0_52]),
[final] ).
cnf(c_0_801,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_583,c_0_180]),c_0_65]),c_0_91]),
[final] ).
cnf(c_0_802,plain,
~ equalish(e_4,e_3),
c_0_584,
[final] ).
cnf(c_0_803,plain,
~ equalish(e_4,e_2),
c_0_585,
[final] ).
cnf(c_0_804,plain,
~ equalish(e_4,e_1),
c_0_586,
[final] ).
cnf(c_0_805,plain,
~ equalish(e_3,e_2),
c_0_587,
[final] ).
cnf(c_0_806,plain,
~ equalish(e_3,e_1),
c_0_588,
[final] ).
cnf(c_0_807,plain,
~ equalish(e_1,e_2),
c_0_589,
[final] ).
cnf(c_0_808,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP133-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n001.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 20:07:27 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 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
% 3.10/0.94 % Version: 3.5.1
% 3.10/0.94 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.10/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.10/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.10/0.94 % Starting new_bool_3 with 300s (1) cores
% 3.10/0.94 % Starting new_bool_1 with 300s (1) cores
% 3.10/0.94 % Starting sh5l with 300s (1) cores
% 3.10/0.94 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1279615 completed with status 1
% 3.10/0.94 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.10/0.94 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.10/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.10/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.10/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.10/0.94 % No SInE strategy applied
% 3.10/0.94 % Search class: FGHNF-FFSM00-SFFFFFNN
% 3.10/0.94 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.10/0.94 % Starting SubtermCWHack with 136s (1) cores
% 3.10/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.10/0.94 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 3.10/0.94 % Starting new_bool_3 with 136s (1) cores
% 3.10/0.94 % Starting new_bool_1 with 136s (1) cores
% 3.10/0.94 % G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1279622 completed with status 1
% 3.10/0.94 % Result found by G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 3.10/0.94 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.10/0.94 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.10/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.10/0.94 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.10/0.94 % No SInE strategy applied
% 3.10/0.94 % Search class: FGHNF-FFSM00-SFFFFFNN
% 3.10/0.94 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.10/0.94 % Starting SubtermCWHack with 136s (1) cores
% 3.10/0.94 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.10/0.94 % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 3.10/0.94 % Preprocessing time : 0.002 s
% 3.10/0.94 % Presaturation interreduction done
% 3.10/0.94
% 3.10/0.94 % No proof found!
% 3.10/0.94 % SZS status Satisfiable
% 3.10/0.94 % SZS output start Saturation
% See solution above
% 3.10/0.94 % Parsed axioms : 31
% 3.10/0.94 % Removed by relevancy pruning/SinE : 0
% 3.10/0.94 % Initial clauses : 31
% 3.10/0.94 % Removed in clause preprocessing : 0
% 3.10/0.94 % Initial clauses in saturation : 31
% 3.10/0.94 % Processed clauses : 4109
% 3.10/0.94 % ...of these trivial : 13
% 3.10/0.94 % ...subsumed : 2671
% 3.10/0.94 % ...remaining for further processing : 1425
% 3.10/0.94 % Other redundant clauses eliminated : 0
% 3.10/0.94 % Clauses deleted for lack of memory : 0
% 3.10/0.94 % Backward-subsumed : 794
% 3.10/0.94 % Backward-rewritten : 49
% 3.10/0.94 % Generated clauses : 6865
% 3.10/0.94 % ...of the previous two non-redundant : 6488
% 3.10/0.94 % ...aggressively subsumed : 0
% 3.10/0.94 % Contextual simplify-reflections : 255
% 3.10/0.94 % Paramodulations : 6789
% 3.10/0.94 % Factorizations : 0
% 3.10/0.94 % NegExts : 0
% 3.10/0.94 % Equation resolutions : 0
% 3.10/0.94 % Disequality decompositions : 0
% 3.10/0.94 % Total rewrite steps : 82
% 3.10/0.94 % ...of those cached : 78
% 3.10/0.94 % Propositional unsat checks : 0
% 3.10/0.94 % Propositional check models : 0
% 3.10/0.94 % Propositional check unsatisfiable : 0
% 3.10/0.94 % Propositional clauses : 0
% 3.10/0.94 % Propositional clauses after purity: 0
% 3.10/0.94 % Propositional unsat core size : 0
% 3.10/0.94 % Propositional preprocessing time : 0.000
% 3.10/0.94 % Propositional encoding time : 0.000
% 3.10/0.94 % Propositional solver time : 0.000
% 3.10/0.94 % Success case prop preproc time : 0.000
% 3.10/0.94 % Success case prop encoding time : 0.000
% 3.10/0.94 % Success case prop solver time : 0.000
% 3.10/0.94 % Current number of processed clauses : 475
% 3.10/0.94 % Positive orientable unit clauses : 17
% 3.10/0.94 % Positive unorientable unit clauses: 0
% 3.10/0.94 % Negative unit clauses : 39
% 3.10/0.94 % Non-unit-clauses : 419
% 3.10/0.94 % Current number of unprocessed clauses: 0
% 3.10/0.94 % ...number of literals in the above : 0
% 3.10/0.94 % Current number of archived formulas : 0
% 3.10/0.94 % Current number of archived clauses : 950
% 3.10/0.94 % Clause-clause subsumption calls (NU) : 66970
% 3.10/0.94 % Rec. Clause-clause subsumption calls : 47160
% 3.10/0.94 % Non-unit clause-clause subsumptions : 3078
% 3.10/0.94 % Unit Clause-clause subsumption calls : 1616
% 3.10/0.94 % Rewrite failures with RHS unbound : 0
% 3.10/0.94 % BW rewrite match attempts : 20
% 3.10/0.94 % BW rewrite match successes : 4
% 3.10/0.94 % Condensation attempts : 0
% 3.10/0.94 % Condensation successes : 0
% 3.10/0.94 % Termbank termtop insertions : 84842
% 3.10/0.94 % Search garbage collected termcells : 56
% 3.10/0.94
% 3.10/0.94 % -------------------------------------------------
% 3.10/0.94 % User time : 0.382 s
% 3.10/0.94 % System time : 0.015 s
% 3.10/0.94 % Total time : 0.396 s
% 3.10/0.94 % Maximum resident set size: 3644 pages
% 3.10/0.94
% 3.10/0.94 % -------------------------------------------------
% 3.10/0.94 % User time : 1.841 s
% 3.10/0.94 % System time : 0.055 s
% 3.10/0.94 % Total time : 1.896 s
% 3.10/0.94 % Maximum resident set size: 4864 pages
% 3.10/0.94 % E exiting
%------------------------------------------------------------------------------