TSTP Solution File: GRP135-2.005 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP135-2.005 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:54:27 EDT 2024
% Result : Satisfiable 48.25s 6.60s
% Output : Saturation 48.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_45)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_47,plain,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
c_0_45,
[final] ).
cnf(c_0_48,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_49,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_50,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_51,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_52,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_53,plain,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
c_0_46,
[final] ).
cnf(c_0_54,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_55,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_56,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_57,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_49]),
[final] ).
cnf(c_0_60,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_50]),
[final] ).
cnf(c_0_61,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_62,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_51]),
[final] ).
cnf(c_0_63,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_52]),
[final] ).
cnf(c_0_65,plain,
( product(X1,e_1,e_5)
| product(X1,e_1,e_4)
| product(X1,e_1,e_3)
| product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[final] ).
cnf(c_0_66,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_67,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_68,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_57,c_0_56]),
[final] ).
cnf(c_0_69,plain,
~ equalish(e_2,e_1),
c_0_58,
[final] ).
cnf(c_0_70,plain,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
c_0_59,
[final] ).
cnf(c_0_71,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_60,c_0_61]),
[final] ).
cnf(c_0_72,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_62,c_0_61]),
[final] ).
cnf(c_0_73,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_63,c_0_61]),
[final] ).
cnf(c_0_75,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
c_0_64,
[final] ).
cnf(c_0_77,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]),
[final] ).
cnf(c_0_78,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_54]),c_0_71]),c_0_72]),c_0_73]),
[final] ).
cnf(c_0_79,plain,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_74,
[final] ).
cnf(c_0_83,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_79]),
[final] ).
cnf(c_0_85,plain,
~ equalish(e_3,e_1),
c_0_82,
[final] ).
cnf(c_0_88,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_85,c_0_79]),
[final] ).
cnf(c_0_89,plain,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
c_0_86,
[final] ).
cnf(c_0_91,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_81]),c_0_88]),
[final] ).
cnf(c_0_92,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_70]),
[final] ).
cnf(c_0_93,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_89]),
[final] ).
cnf(c_0_94,plain,
~ equalish(e_1,e_5),
c_0_90,
[final] ).
cnf(c_0_96,plain,
( product(X1,e_2,e_5)
| product(X1,e_2,e_4)
| product(X1,e_2,e_3)
| product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_66]),
[final] ).
cnf(c_0_97,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_102,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_103,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_89]),
[final] ).
cnf(c_0_104,plain,
~ equalish(e_1,e_4),
c_0_95,
[final] ).
cnf(c_0_109,plain,
~ equalish(e_2,e_5),
c_0_101,
[final] ).
cnf(c_0_110,plain,
( product(X1,e_5,e_5)
| product(X1,e_5,e_4)
| product(X1,e_5,e_3)
| product(X1,e_5,e_2)
| product(X1,e_5,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_102]),
[final] ).
cnf(c_0_114,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_89]),
[final] ).
cnf(c_0_116,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_117,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_89]),
[final] ).
cnf(c_0_119,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_100]),c_0_107]),c_0_108]),
[final] ).
cnf(c_0_121,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_89]),
[final] ).
cnf(c_0_125,plain,
~ equalish(e_3,e_2),
c_0_113,
[final] ).
cnf(c_0_126,plain,
( product(X1,e_3,e_5)
| product(X1,e_3,e_4)
| product(X1,e_3,e_3)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_97]),
[final] ).
cnf(c_0_128,plain,
~ equalish(e_2,e_4),
c_0_115,
[final] ).
cnf(c_0_129,plain,
( product(X1,e_4,e_5)
| product(X1,e_4,e_4)
| product(X1,e_4,e_3)
| product(X1,e_4,e_2)
| product(X1,e_4,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_116]),
[final] ).
cnf(c_0_134,plain,
~ equalish(e_3,e_5),
c_0_120,
[final] ).
cnf(c_0_137,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_89]),
[final] ).
cnf(c_0_141,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_89]),
[final] ).
cnf(c_0_144,plain,
~ equalish(e_4,e_5),
c_0_131,
[final] ).
cnf(c_0_151,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_89]),
[final] ).
cnf(c_0_155,plain,
~ equalish(e_3,e_4),
c_0_140,
[final] ).
cnf(c_0_158,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_89]),
[final] ).
cnf(c_0_159,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_70]),
[final] ).
cnf(c_0_161,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_70]),
[final] ).
cnf(c_0_170,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_89]),
[final] ).
cnf(c_0_202,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_70]),
[final] ).
cnf(c_0_204,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_104,c_0_79]),
[final] ).
cnf(c_0_218,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_221,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_70]),
[final] ).
cnf(c_0_225,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_218]),
[final] ).
cnf(c_0_226,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_231,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_225,c_0_226]),
[final] ).
cnf(c_0_247,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_70]),
[final] ).
cnf(c_0_252,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_155,c_0_70]),
[final] ).
cnf(c_0_254,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_70]),
[final] ).
cnf(c_0_261,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_250]),c_0_252]),c_0_255]),
[final] ).
cnf(c_0_270,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_259]),c_0_221]),c_0_265]),
[final] ).
cnf(c_0_275,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_70]),
[final] ).
cnf(c_0_284,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_125,c_0_79]),
[final] ).
cnf(c_0_285,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_128,c_0_79]),
[final] ).
cnf(c_0_291,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_94,c_0_79]),
[final] ).
cnf(c_0_382,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_155,c_0_79]),
[final] ).
cnf(c_0_518,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_144,c_0_79]),
[final] ).
cnf(c_0_519,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_109,c_0_79]),
[final] ).
cnf(c_0_557,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_549]),c_0_284]),c_0_285]),
[final] ).
cnf(c_0_587,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_582]),c_0_88]),c_0_83]),c_0_204]),
[final] ).
cnf(c_0_594,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_590]),c_0_121]),
[final] ).
cnf(c_0_598,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_590]),c_0_137]),
[final] ).
cnf(c_0_623,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_618]),c_0_170]),c_0_141]),c_0_143]),
[final] ).
cnf(c_0_647,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_635]),c_0_75]),c_0_202]),
[final] ).
cnf(c_0_663,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_661]),c_0_159]),
[final] ).
cnf(c_0_673,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_661]),c_0_161]),
[final] ).
cnf(c_0_708,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_79]),
[final] ).
cnf(c_0_730,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_657]),c_0_519]),c_0_708]),
[final] ).
cnf(c_0_739,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_713,c_0_731]),c_0_732]),c_0_733]),
[final] ).
cnf(c_0_760,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_590]),c_0_141]),
[final] ).
cnf(c_0_802,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_798]),c_0_799]),c_0_285]),
[final] ).
cnf(c_0_850,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_846,c_0_828]),c_0_139]),c_0_88]),
[final] ).
cnf(c_0_918,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_913]),c_0_856]),
[final] ).
cnf(c_0_1270,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_1264]),c_0_1020]),
[final] ).
cnf(c_0_1280,negated_conjecture,
~ product(e_2,e_3,e_5),
inference(spm,[status(thm)],[c_0_1270,c_0_1274]),
[final] ).
cnf(c_0_1399,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_1320]),c_0_161]),c_0_382]),c_0_285]),
[final] ).
cnf(c_0_1437,negated_conjecture,
product(e_2,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_1431]),c_0_1398]),
[final] ).
cnf(c_0_1446,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_151,c_0_1437]),
[final] ).
cnf(c_0_1459,negated_conjecture,
product(e_4,e_5,e_1),
inference(sr,[status(thm)],[c_0_1445,c_0_1446]),
[final] ).
cnf(c_0_1464,negated_conjecture,
product(e_5,e_3,e_4),
inference(sr,[status(thm)],[c_0_1449,c_0_1446]),
[final] ).
cnf(c_0_1465,negated_conjecture,
product(e_1,e_3,e_5),
inference(sr,[status(thm)],[c_0_1450,c_0_1446]),
[final] ).
cnf(c_0_1466,negated_conjecture,
product(e_3,e_4,e_1),
inference(sr,[status(thm)],[c_0_1451,c_0_1446]),
[final] ).
cnf(c_0_1467,plain,
product(e_2,e_3,e_1),
inference(sr,[status(thm)],[c_0_1452,c_0_1446]),
[final] ).
cnf(c_0_1469,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[c_0_1454,c_0_1446]),
[final] ).
cnf(c_0_1470,negated_conjecture,
product(e_5,e_2,e_1),
inference(sr,[status(thm)],[c_0_1455,c_0_1446]),
[final] ).
cnf(c_0_1471,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[c_0_1456,c_0_1446]),
[final] ).
cnf(c_0_1472,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[c_0_1457,c_0_1446]),
[final] ).
cnf(c_0_1474,negated_conjecture,
( product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1459]),
[final] ).
cnf(c_0_1475,negated_conjecture,
product(e_1,e_5,e_3),
inference(sr,[status(thm)],[c_0_1460,c_0_1446]),
[final] ).
cnf(c_0_1479,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1464]),
[final] ).
cnf(c_0_1480,negated_conjecture,
( product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_1465]),
[final] ).
cnf(c_0_1481,negated_conjecture,
( product(e_1,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1466]),
[final] ).
cnf(c_0_1482,negated_conjecture,
( product(e_1,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_1467]),
[final] ).
cnf(c_0_1485,negated_conjecture,
( product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_1469]),
[final] ).
cnf(c_0_1486,negated_conjecture,
( product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1470]),
[final] ).
cnf(c_0_1487,negated_conjecture,
( product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1471]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1472]),
[final] ).
cnf(c_0_1492,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_1474]),c_0_1475])]),
[final] ).
cnf(c_0_1502,negated_conjecture,
product(e_3,e_1,e_4),
inference(sr,[status(thm)],[c_0_1477,c_0_1446]),
[final] ).
cnf(c_0_1503,negated_conjecture,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_1478,c_0_1446]),
[final] ).
cnf(c_0_1504,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_137,c_0_1479]),
[final] ).
cnf(c_0_1505,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_137,c_0_1480]),
[final] ).
cnf(c_0_1506,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_158,c_0_1474]),
[final] ).
cnf(c_0_1507,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_151,c_0_1474]),
[final] ).
cnf(c_0_1508,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_121,c_0_1474]),
[final] ).
cnf(c_0_1509,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_170,c_0_1481]),
[final] ).
cnf(c_0_1510,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_141,c_0_1481]),
[final] ).
cnf(c_0_1511,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_137,c_0_1482]),
[final] ).
cnf(c_0_1512,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1483,c_0_1467])]),
[final] ).
cnf(c_0_1513,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1484,c_0_1467])]),
[final] ).
cnf(c_0_1517,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_4)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1479]),
[final] ).
cnf(c_0_1518,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_5)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_1480]),
[final] ).
cnf(c_0_1519,negated_conjecture,
( product(X1,e_5,X2)
| ~ product(e_5,X2,e_1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1474]),
[final] ).
cnf(c_0_1520,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_4)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_1485]),
[final] ).
cnf(c_0_1521,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1486]),
[final] ).
cnf(c_0_1522,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_4,X2,e_1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1481]),
[final] ).
cnf(c_0_1523,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1487]),
[final] ).
cnf(c_0_1524,negated_conjecture,
product(e_2,e_4,e_5),
inference(sr,[status(thm)],[c_0_1488,c_0_1446]),
[final] ).
cnf(c_0_1525,negated_conjecture,
( product(X1,e_2,X2)
| ~ product(e_2,X2,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1489]),
[final] ).
cnf(c_0_1526,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_1490,c_0_1446]),
[final] ).
cnf(c_0_1527,negated_conjecture,
( product(X1,e_3,X2)
| ~ product(e_3,X2,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_1482]),
[final] ).
cnf(c_0_1528,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1491,c_0_1492]),
[final] ).
cnf(c_0_1529,negated_conjecture,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[c_0_1493,c_0_1446]),
[final] ).
cnf(c_0_1530,negated_conjecture,
product(e_3,e_5,e_2),
inference(sr,[status(thm)],[c_0_1494,c_0_1446]),
[final] ).
cnf(c_0_1531,negated_conjecture,
product(e_5,e_4,e_3),
inference(sr,[status(thm)],[c_0_1495,c_0_1446]),
[final] ).
cnf(c_0_1532,negated_conjecture,
product(e_4,e_3,e_2),
inference(sr,[status(thm)],[c_0_1496,c_0_1446]),
[final] ).
cnf(c_0_1534,negated_conjecture,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[c_0_1498,c_0_1446]),
[final] ).
cnf(c_0_1535,negated_conjecture,
product(e_1,e_4,e_2),
inference(sr,[status(thm)],[c_0_1499,c_0_1446]),
[final] ).
cnf(c_0_1536,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_1500,c_0_1446]),
[final] ).
cnf(c_0_1538,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_1539,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_1540,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_1541,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_1542,negated_conjecture,
( product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1502]),
[final] ).
cnf(c_0_1543,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_518,c_0_1503]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( product(e_2,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_918]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1485]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1505,c_0_1487]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1506,c_0_1481]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1507,c_0_1482]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1508,c_0_1486]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1509,c_0_1482]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1510,c_0_1486]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1511,c_0_1486]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1512,c_0_1487]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1513,c_0_1480]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_252,c_0_1479]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_202,c_0_1479]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_275,c_0_1480]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_221,c_0_1480]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_159,c_0_1480]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_247,c_0_1474]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( ~ product(e_5,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_254,c_0_1474]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_1474]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_92,c_0_1474]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_252,c_0_1485]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_202,c_0_1485]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_247,c_0_1486]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_254,c_0_1486]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_77,c_0_1486]),
[final] ).
cnf(c_0_1581,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_92,c_0_1486]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_247,c_0_1481]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_254,c_0_1481]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_77,c_0_1481]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_1481]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_275,c_0_1487]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_221,c_0_1487]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_1487]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_161,c_0_1489]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_247,c_0_1482]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_254,c_0_1482]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_1482]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_1482]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1514,c_0_1467])]),
[final] ).
cnf(c_0_1595,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1515,c_0_1467])]),
[final] ).
cnf(c_0_1596,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1516,c_0_1467])]),
[final] ).
cnf(c_0_1597,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1517,c_0_1502]),
[final] ).
cnf(c_0_1598,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1518,c_0_1471]),
[final] ).
cnf(c_0_1599,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1519,c_0_1470]),
[final] ).
cnf(c_0_1600,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1520,c_0_1437]),
[final] ).
cnf(c_0_1601,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1521,c_0_1467]),
[final] ).
cnf(c_0_1602,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1522,c_0_1459]),
[final] ).
cnf(c_0_1603,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1523,c_0_1524]),
[final] ).
cnf(c_0_1604,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1525,c_0_1526]),
[final] ).
cnf(c_0_1605,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1527,c_0_1466]),
[final] ).
cnf(c_0_1606,negated_conjecture,
( product(e_5,e_5,X1)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1528]),
[final] ).
cnf(c_0_1607,negated_conjecture,
( product(X1,e_4,X2)
| ~ product(e_4,X2,e_5)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1497,c_0_1467])]),
[final] ).
cnf(c_0_1608,negated_conjecture,
( product(e_4,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1529]),
[final] ).
cnf(c_0_1609,negated_conjecture,
( product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_1475]),
[final] ).
cnf(c_0_1610,negated_conjecture,
( product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1530]),
[final] ).
cnf(c_0_1611,negated_conjecture,
( product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1531]),
[final] ).
cnf(c_0_1612,negated_conjecture,
( product(e_2,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1532]),
[final] ).
cnf(c_0_1613,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1533,c_0_1503]),c_0_1446]),
[final] ).
cnf(c_0_1614,negated_conjecture,
( product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_75,c_0_1503]),
[final] ).
cnf(c_0_1615,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_75,c_0_1534]),
[final] ).
cnf(c_0_1616,negated_conjecture,
( product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_1535]),
[final] ).
cnf(c_0_1617,negated_conjecture,
( product(e_3,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_75,c_0_1536]),
[final] ).
cnf(c_0_1618,negated_conjecture,
( product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_1526]),
[final] ).
cnf(c_0_1619,negated_conjecture,
( product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_1524]),
[final] ).
cnf(c_0_1620,negated_conjecture,
( product(e_4,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_75,c_0_1437]),
[final] ).
cnf(c_0_1621,negated_conjecture,
( product(e_2,e_5,e_5)
| product(e_4,e_5,e_2)
| ~ product(e_1,e_5,e_4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_1087]),c_0_77]),
[final] ).
cnf(c_0_1622,negated_conjecture,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| ~ product(e_5,e_1,e_3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_1537]),c_0_159]),c_0_284]),
[final] ).
cnf(c_0_1623,negated_conjecture,
( product(e_1,e_1,e_2)
| product(e_1,e_1,X1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_75,c_0_78]),
[final] ).
cnf(c_0_1624,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_1538]),
[final] ).
cnf(c_0_1625,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_1539]),
[final] ).
cnf(c_0_1626,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_1540]),
[final] ).
cnf(c_0_1627,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_1541]),
[final] ).
cnf(c_0_1628,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_158,c_0_1528]),
[final] ).
cnf(c_0_1629,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_1479]),c_0_1532])]),
[final] ).
cnf(c_0_1630,negated_conjecture,
~ product(e_5,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_1474]),c_0_1475])]),
[final] ).
cnf(c_0_1631,negated_conjecture,
~ product(e_5,e_1,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_1474]),c_0_1475])]),
[final] ).
cnf(c_0_1632,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_1486]),c_0_1469])]),
[final] ).
cnf(c_0_1633,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1542,c_0_1481]),c_0_1543]),
[final] ).
cnf(c_0_1634,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(spm,[status(thm)],[c_0_92,c_0_1475]),
[final] ).
cnf(c_0_1635,negated_conjecture,
~ product(e_1,e_4,e_3),
inference(spm,[status(thm)],[c_0_158,c_0_1475]),
[final] ).
cnf(c_0_1636,negated_conjecture,
~ product(e_1,e_5,e_2),
inference(spm,[status(thm)],[c_0_284,c_0_1475]),
[final] ).
cnf(c_0_1637,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_254,c_0_1465]),
[final] ).
cnf(c_0_1638,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(spm,[status(thm)],[c_0_92,c_0_1465]),
[final] ).
cnf(c_0_1639,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(spm,[status(thm)],[c_0_137,c_0_1465]),
[final] ).
cnf(c_0_1640,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(spm,[status(thm)],[c_0_708,c_0_1465]),
[final] ).
cnf(c_0_1641,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_275,c_0_1531]),
[final] ).
cnf(c_0_1642,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_170,c_0_1531]),
[final] ).
cnf(c_0_1643,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_1491]),c_0_382]),
[final] ).
cnf(c_0_1644,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(spm,[status(thm)],[c_0_117,c_0_1503]),
[final] ).
cnf(c_0_1645,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(spm,[status(thm)],[c_0_93,c_0_1503]),
[final] ).
cnf(c_0_1646,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_114,c_0_1503]),
[final] ).
cnf(c_0_1647,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(spm,[status(thm)],[c_0_708,c_0_1503]),
[final] ).
cnf(c_0_1648,negated_conjecture,
~ product(e_3,e_5,e_1),
inference(spm,[status(thm)],[c_0_252,c_0_1459]),
[final] ).
cnf(c_0_1649,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(spm,[status(thm)],[c_0_202,c_0_1459]),
[final] ).
cnf(c_0_1650,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(spm,[status(thm)],[c_0_158,c_0_1459]),
[final] ).
cnf(c_0_1651,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(spm,[status(thm)],[c_0_151,c_0_1459]),
[final] ).
cnf(c_0_1652,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(spm,[status(thm)],[c_0_204,c_0_1459]),
[final] ).
cnf(c_0_1653,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_291,c_0_1459]),
[final] ).
cnf(c_0_1654,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(spm,[status(thm)],[c_0_83,c_0_1459]),
[final] ).
cnf(c_0_1655,negated_conjecture,
~ product(e_4,e_5,e_3),
inference(spm,[status(thm)],[c_0_88,c_0_1459]),
[final] ).
cnf(c_0_1656,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(spm,[status(thm)],[c_0_275,c_0_1534]),
[final] ).
cnf(c_0_1657,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_103,c_0_1534]),
[final] ).
cnf(c_0_1658,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(spm,[status(thm)],[c_0_114,c_0_1534]),
[final] ).
cnf(c_0_1659,plain,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1544,c_0_1534])]),
[final] ).
cnf(c_0_1660,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_247,c_0_1469]),
[final] ).
cnf(c_0_1661,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(spm,[status(thm)],[c_0_382,c_0_1469]),
[final] ).
cnf(c_0_1662,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_382,c_0_1502]),
[final] ).
cnf(c_0_1663,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_247,c_0_1535]),
[final] ).
cnf(c_0_1664,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(spm,[status(thm)],[c_0_254,c_0_1535]),
[final] ).
cnf(c_0_1665,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(spm,[status(thm)],[c_0_170,c_0_1535]),
[final] ).
cnf(c_0_1666,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_141,c_0_1535]),
[final] ).
cnf(c_0_1667,plain,
~ product(e_1,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1545,c_0_1535])]),
[final] ).
cnf(c_0_1668,plain,
~ product(e_1,e_5,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_1535])]),
[final] ).
cnf(c_0_1669,plain,
~ product(e_3,e_1,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_1535])]),
[final] ).
cnf(c_0_1670,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(spm,[status(thm)],[c_0_275,c_0_1470]),
[final] ).
cnf(c_0_1671,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(spm,[status(thm)],[c_0_204,c_0_1470]),
[final] ).
cnf(c_0_1672,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_291,c_0_1470]),
[final] ).
cnf(c_0_1673,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_88,c_0_1470]),
[final] ).
cnf(c_0_1674,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(spm,[status(thm)],[c_0_161,c_0_1466]),
[final] ).
cnf(c_0_1675,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(spm,[status(thm)],[c_0_170,c_0_1466]),
[final] ).
cnf(c_0_1676,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(spm,[status(thm)],[c_0_141,c_0_1466]),
[final] ).
cnf(c_0_1677,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_204,c_0_1466]),
[final] ).
cnf(c_0_1678,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(spm,[status(thm)],[c_0_291,c_0_1466]),
[final] ).
cnf(c_0_1679,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(spm,[status(thm)],[c_0_83,c_0_1466]),
[final] ).
cnf(c_0_1680,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(spm,[status(thm)],[c_0_88,c_0_1466]),
[final] ).
cnf(c_0_1681,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_284,c_0_1536]),
[final] ).
cnf(c_0_1682,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_518,c_0_1471]),
[final] ).
cnf(c_0_1683,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_284,c_0_1526]),
[final] ).
cnf(c_0_1684,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_252,c_0_1472]),
[final] ).
cnf(c_0_1685,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_1449]),c_0_202]),
[final] ).
cnf(c_0_1686,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_1450]),c_0_77]),
[final] ).
cnf(c_0_1687,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_1477]),c_0_161]),
[final] ).
cnf(c_0_1688,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1546,c_0_175]),c_0_587]),
[final] ).
cnf(c_0_1689,plain,
~ equalish(e_5,e_4),
c_0_1547,
[final] ).
cnf(c_0_1690,plain,
~ equalish(e_5,e_3),
c_0_1548,
[final] ).
cnf(c_0_1691,plain,
~ equalish(e_5,e_2),
c_0_1549,
[final] ).
cnf(c_0_1692,plain,
~ equalish(e_5,e_1),
c_0_1550,
[final] ).
cnf(c_0_1693,plain,
~ equalish(e_4,e_3),
c_0_1551,
[final] ).
cnf(c_0_1694,plain,
~ equalish(e_4,e_2),
c_0_1552,
[final] ).
cnf(c_0_1695,plain,
~ equalish(e_4,e_1),
c_0_1553,
[final] ).
cnf(c_0_1696,plain,
~ equalish(e_2,e_3),
c_0_1554,
[final] ).
cnf(c_0_1697,plain,
~ equalish(e_1,e_3),
c_0_1555,
[final] ).
cnf(c_0_1698,plain,
~ equalish(e_1,e_2),
c_0_1556,
[final] ).
cnf(c_0_1699,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP135-2.005 : TPTP v8.2.0. Released v1.2.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Sun May 19 05:01:07 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.25/6.60 # Version: 3.1.0
% 48.25/6.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 48.25/6.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 48.25/6.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 48.25/6.60 # Starting new_bool_3 with 300s (1) cores
% 48.25/6.60 # Starting new_bool_1 with 300s (1) cores
% 48.25/6.60 # Starting sh5l with 300s (1) cores
% 48.25/6.60 # sh5l with pid 1242 completed with status 1
% 48.25/6.60 # Result found by sh5l
% 48.25/6.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 48.25/6.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 48.25/6.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 48.25/6.60 # Starting new_bool_3 with 300s (1) cores
% 48.25/6.60 # Starting new_bool_1 with 300s (1) cores
% 48.25/6.60 # Starting sh5l with 300s (1) cores
% 48.25/6.60 # SinE strategy is gf500_gu_R04_F100_L20000
% 48.25/6.60 # Search class: FGHNF-FFSM00-SFFFFFNN
% 48.25/6.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 48.25/6.60 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 48.25/6.60 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 1250 completed with status 1
% 48.25/6.60 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 48.25/6.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 48.25/6.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 48.25/6.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 48.25/6.60 # Starting new_bool_3 with 300s (1) cores
% 48.25/6.60 # Starting new_bool_1 with 300s (1) cores
% 48.25/6.60 # Starting sh5l with 300s (1) cores
% 48.25/6.60 # SinE strategy is gf500_gu_R04_F100_L20000
% 48.25/6.60 # Search class: FGHNF-FFSM00-SFFFFFNN
% 48.25/6.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 48.25/6.60 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 48.25/6.60 # Preprocessing time : 0.001 s
% 48.25/6.60 # Presaturation interreduction done
% 48.25/6.60
% 48.25/6.60 # No proof found!
% 48.25/6.60 # SZS status Satisfiable
% 48.25/6.60 # SZS output start Saturation
% See solution above
% 48.25/6.61 # Parsed axioms : 45
% 48.25/6.61 # Removed by relevancy pruning/SinE : 0
% 48.25/6.61 # Initial clauses : 45
% 48.25/6.61 # Removed in clause preprocessing : 0
% 48.25/6.61 # Initial clauses in saturation : 45
% 48.25/6.61 # Processed clauses : 16247
% 48.25/6.61 # ...of these trivial : 442
% 48.25/6.61 # ...subsumed : 7313
% 48.25/6.61 # ...remaining for further processing : 8492
% 48.25/6.61 # Other redundant clauses eliminated : 0
% 48.25/6.61 # Clauses deleted for lack of memory : 0
% 48.25/6.61 # Backward-subsumed : 5981
% 48.25/6.61 # Backward-rewritten : 1536
% 48.25/6.61 # Generated clauses : 99281
% 48.25/6.61 # ...of the previous two non-redundant : 95831
% 48.25/6.61 # ...aggressively subsumed : 0
% 48.25/6.61 # Contextual simplify-reflections : 3235
% 48.25/6.61 # Paramodulations : 98653
% 48.25/6.61 # Factorizations : 0
% 48.25/6.61 # NegExts : 0
% 48.25/6.61 # Equation resolutions : 0
% 48.25/6.61 # Disequality decompositions : 0
% 48.25/6.61 # Total rewrite steps : 2494
% 48.25/6.61 # ...of those cached : 2470
% 48.25/6.61 # Propositional unsat checks : 0
% 48.25/6.61 # Propositional check models : 0
% 48.25/6.61 # Propositional check unsatisfiable : 0
% 48.25/6.61 # Propositional clauses : 0
% 48.25/6.61 # Propositional clauses after purity: 0
% 48.25/6.61 # Propositional unsat core size : 0
% 48.25/6.61 # Propositional preprocessing time : 0.000
% 48.25/6.61 # Propositional encoding time : 0.000
% 48.25/6.61 # Propositional solver time : 0.000
% 48.25/6.61 # Success case prop preproc time : 0.000
% 48.25/6.61 # Success case prop encoding time : 0.000
% 48.25/6.61 # Success case prop solver time : 0.000
% 48.25/6.61 # Current number of processed clauses : 302
% 48.25/6.61 # Positive orientable unit clauses : 43
% 48.25/6.61 # Positive unorientable unit clauses: 0
% 48.25/6.61 # Negative unit clauses : 110
% 48.25/6.61 # Non-unit-clauses : 149
% 48.25/6.61 # Current number of unprocessed clauses: 0
% 48.25/6.61 # ...number of literals in the above : 0
% 48.25/6.61 # Current number of archived formulas : 0
% 48.25/6.61 # Current number of archived clauses : 8190
% 48.25/6.61 # Clause-clause subsumption calls (NU) : 4164748
% 48.25/6.61 # Rec. Clause-clause subsumption calls : 190157
% 48.25/6.61 # Non-unit clause-clause subsumptions : 14427
% 48.25/6.61 # Unit Clause-clause subsumption calls : 20602
% 48.25/6.61 # Rewrite failures with RHS unbound : 0
% 48.25/6.61 # BW rewrite match attempts : 142
% 48.25/6.61 # BW rewrite match successes : 23
% 48.25/6.61 # Condensation attempts : 0
% 48.25/6.61 # Condensation successes : 0
% 48.25/6.61 # Termbank termtop insertions : 2543693
% 48.25/6.61 # Search garbage collected termcells : 72
% 48.25/6.61
% 48.25/6.61 # -------------------------------------------------
% 48.25/6.61 # User time : 5.969 s
% 48.25/6.61 # System time : 0.054 s
% 48.25/6.61 # Total time : 6.023 s
% 48.25/6.61 # Maximum resident set size: 2088 pages
% 48.25/6.61
% 48.25/6.61 # -------------------------------------------------
% 48.25/6.61 # User time : 5.970 s
% 48.25/6.61 # System time : 0.058 s
% 48.25/6.61 # Total time : 6.028 s
% 48.25/6.61 # Maximum resident set size: 2016 pages
% 48.25/6.61 % E---3.1 exiting
%------------------------------------------------------------------------------