TSTP Solution File: GRP135-2.005 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP135-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:38:58 EDT 2023
% Result : Timeout 40.90s 300.03s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named no_redundancy)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_45,axiom,
( ~ product(X1,e_1,X2)
| ~ next(X1,X3)
| ~ greater(X2,X3) ),
no_redundancy,
[final] ).
cnf(c_0_46,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_47,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_48,axiom,
greater(e_5,e_2),
e_5_greater_e_2,
[final] ).
cnf(c_0_49,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_50,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_51,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| product(X1,X2,e_5)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1,
[final] ).
cnf(c_0_52,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_53,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_54,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_55,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_45,c_0_47]),
[final] ).
cnf(c_0_56,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_48]),
[final] ).
cnf(c_0_57,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_58,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_49]),
[final] ).
cnf(c_0_59,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_45,c_0_50]),
[final] ).
cnf(c_0_60,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_51,c_0_52]),
[final] ).
cnf(c_0_61,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_62,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_53,c_0_54]),
[final] ).
cnf(c_0_63,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_55,c_0_54]),
[final] ).
cnf(c_0_64,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1,
[final] ).
cnf(c_0_65,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation,
[final] ).
cnf(c_0_66,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_67,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_58,c_0_57]),
[final] ).
cnf(c_0_68,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_59,c_0_57]),
[final] ).
cnf(c_0_69,negated_conjecture,
( product(X4,X1,X2)
| ~ product(X1,X2,X3)
| ~ product(X3,X1,X4) ),
qg3,
[final] ).
cnf(c_0_71,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]),
[final] ).
cnf(c_0_72,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_60,c_0_52]),c_0_66]),c_0_67]),c_0_68]),
[final] ).
cnf(c_0_73,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
product_total_function2,
[final] ).
cnf(c_0_76,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_64,c_0_73]),
[final] ).
cnf(c_0_78,axiom,
~ equalish(e_3,e_1),
e_3_is_not_e_1,
[final] ).
cnf(c_0_80,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_78,c_0_73]),
[final] ).
cnf(c_0_81,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation,
[final] ).
cnf(c_0_82,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_75]),c_0_80]),
[final] ).
cnf(c_0_83,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_65]),
[final] ).
cnf(c_0_84,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_81]),
[final] ).
cnf(c_0_85,axiom,
~ equalish(e_1,e_5),
e_1_is_not_e_5,
[final] ).
cnf(c_0_86,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_51,c_0_61]),
[final] ).
cnf(c_0_87,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_91,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_92,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_81]),
[final] ).
cnf(c_0_93,axiom,
~ equalish(e_1,e_4),
e_1_is_not_e_4,
[final] ).
cnf(c_0_98,axiom,
~ equalish(e_2,e_5),
e_2_is_not_e_5,
[final] ).
cnf(c_0_99,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_51,c_0_91]),
[final] ).
cnf(c_0_102,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_81]),
[final] ).
cnf(c_0_103,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_104,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_81]),
[final] ).
cnf(c_0_106,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_90]),c_0_96]),c_0_97]),
[final] ).
cnf(c_0_107,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_81]),
[final] ).
cnf(c_0_111,axiom,
~ equalish(e_3,e_2),
e_3_is_not_e_2,
[final] ).
cnf(c_0_112,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_51,c_0_87]),
[final] ).
cnf(c_0_114,axiom,
~ equalish(e_2,e_4),
e_2_is_not_e_4,
[final] ).
cnf(c_0_115,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_51,c_0_103]),
[final] ).
cnf(c_0_119,axiom,
~ equalish(e_3,e_5),
e_3_is_not_e_5,
[final] ).
cnf(c_0_122,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_81]),
[final] ).
cnf(c_0_125,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_81]),
[final] ).
cnf(c_0_128,axiom,
~ equalish(e_4,e_5),
e_4_is_not_e_5,
[final] ).
cnf(c_0_135,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_81]),
[final] ).
cnf(c_0_139,axiom,
~ equalish(e_3,e_4),
e_3_is_not_e_4,
[final] ).
cnf(c_0_142,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_81]),
[final] ).
cnf(c_0_143,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_65]),
[final] ).
cnf(c_0_145,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_65]),
[final] ).
cnf(c_0_154,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_81]),
[final] ).
cnf(c_0_186,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_114,c_0_65]),
[final] ).
cnf(c_0_188,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_93,c_0_73]),
[final] ).
cnf(c_0_202,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_205,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_65]),
[final] ).
cnf(c_0_209,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_45,c_0_202]),
[final] ).
cnf(c_0_210,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_215,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_209,c_0_210]),
[final] ).
cnf(c_0_231,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_93,c_0_65]),
[final] ).
cnf(c_0_236,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_65]),
[final] ).
cnf(c_0_238,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_65]),
[final] ).
cnf(c_0_245,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_234]),c_0_236]),c_0_239]),
[final] ).
cnf(c_0_254,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_243]),c_0_205]),c_0_249]),
[final] ).
cnf(c_0_259,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_65]),
[final] ).
cnf(c_0_268,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_111,c_0_73]),
[final] ).
cnf(c_0_269,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_114,c_0_73]),
[final] ).
cnf(c_0_275,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_85,c_0_73]),
[final] ).
cnf(c_0_366,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_139,c_0_73]),
[final] ).
cnf(c_0_502,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_128,c_0_73]),
[final] ).
cnf(c_0_503,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_98,c_0_73]),
[final] ).
cnf(c_0_541,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_533]),c_0_268]),c_0_269]),
[final] ).
cnf(c_0_571,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_143,c_0_566]),c_0_80]),c_0_76]),c_0_188]),
[final] ).
cnf(c_0_578,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_574]),c_0_107]),
[final] ).
cnf(c_0_582,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_574]),c_0_122]),
[final] ).
cnf(c_0_607,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_142,c_0_602]),c_0_154]),c_0_125]),c_0_127]),
[final] ).
cnf(c_0_631,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_619]),c_0_69]),c_0_186]),
[final] ).
cnf(c_0_647,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_645]),c_0_143]),
[final] ).
cnf(c_0_657,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_645]),c_0_145]),
[final] ).
cnf(c_0_692,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_73]),
[final] ).
cnf(c_0_714,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_641]),c_0_503]),c_0_692]),
[final] ).
cnf(c_0_723,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_697,c_0_715]),c_0_716]),c_0_717]),
[final] ).
cnf(c_0_744,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_574]),c_0_125]),
[final] ).
cnf(c_0_786,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_781,c_0_782]),c_0_783]),c_0_269]),
[final] ).
cnf(c_0_834,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_830,c_0_812]),c_0_124]),c_0_80]),
[final] ).
cnf(c_0_902,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_897]),c_0_840]),
[final] ).
cnf(c_0_1254,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_1248]),c_0_1004]),
[final] ).
cnf(c_0_1264,negated_conjecture,
~ product(e_2,e_3,e_5),
inference(spm,[status(thm)],[c_0_1254,c_0_1258]),
[final] ).
cnf(c_0_1383,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_502,c_0_1304]),c_0_145]),c_0_366]),c_0_269]),
[final] ).
cnf(c_0_1421,negated_conjecture,
product(e_2,e_5,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1415]),c_0_1382]),
[final] ).
cnf(c_0_1430,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_135,c_0_1421]),
[final] ).
cnf(c_0_1443,negated_conjecture,
product(e_4,e_5,e_1),
inference(sr,[status(thm)],[c_0_1429,c_0_1430]),
[final] ).
cnf(c_0_1448,negated_conjecture,
product(e_5,e_3,e_4),
inference(sr,[status(thm)],[c_0_1433,c_0_1430]),
[final] ).
cnf(c_0_1449,negated_conjecture,
product(e_1,e_3,e_5),
inference(sr,[status(thm)],[c_0_1434,c_0_1430]),
[final] ).
cnf(c_0_1450,negated_conjecture,
product(e_3,e_4,e_1),
inference(sr,[status(thm)],[c_0_1435,c_0_1430]),
[final] ).
cnf(c_0_1451,plain,
product(e_2,e_3,e_1),
inference(sr,[status(thm)],[c_0_1436,c_0_1430]),
[final] ).
cnf(c_0_1453,negated_conjecture,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[c_0_1438,c_0_1430]),
[final] ).
cnf(c_0_1454,negated_conjecture,
product(e_5,e_2,e_1),
inference(sr,[status(thm)],[c_0_1439,c_0_1430]),
[final] ).
cnf(c_0_1455,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[c_0_1440,c_0_1430]),
[final] ).
cnf(c_0_1456,negated_conjecture,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[c_0_1441,c_0_1430]),
[final] ).
cnf(c_0_1458,negated_conjecture,
( product(e_1,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1443]),
[final] ).
cnf(c_0_1459,negated_conjecture,
product(e_1,e_5,e_3),
inference(sr,[status(thm)],[c_0_1444,c_0_1430]),
[final] ).
cnf(c_0_1463,negated_conjecture,
( product(e_4,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1448]),
[final] ).
cnf(c_0_1464,negated_conjecture,
( product(e_5,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1449]),
[final] ).
cnf(c_0_1465,negated_conjecture,
( product(e_1,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1450]),
[final] ).
cnf(c_0_1466,negated_conjecture,
( product(e_1,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1451]),
[final] ).
cnf(c_0_1469,negated_conjecture,
( product(e_4,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1453]),
[final] ).
cnf(c_0_1470,negated_conjecture,
( product(e_1,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1454]),
[final] ).
cnf(c_0_1471,negated_conjecture,
( product(e_5,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1455]),
[final] ).
cnf(c_0_1473,negated_conjecture,
( product(e_3,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1456]),
[final] ).
cnf(c_0_1476,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_1458]),c_0_1459])]),
[final] ).
cnf(c_0_1486,negated_conjecture,
product(e_3,e_1,e_4),
inference(sr,[status(thm)],[c_0_1461,c_0_1430]),
[final] ).
cnf(c_0_1487,negated_conjecture,
product(e_4,e_1,e_5),
inference(sr,[status(thm)],[c_0_1462,c_0_1430]),
[final] ).
cnf(c_0_1488,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_122,c_0_1463]),
[final] ).
cnf(c_0_1489,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_122,c_0_1464]),
[final] ).
cnf(c_0_1490,negated_conjecture,
( ~ product(e_1,e_4,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_1458]),
[final] ).
cnf(c_0_1491,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_135,c_0_1458]),
[final] ).
cnf(c_0_1492,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_107,c_0_1458]),
[final] ).
cnf(c_0_1493,negated_conjecture,
( ~ product(e_1,e_3,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_154,c_0_1465]),
[final] ).
cnf(c_0_1494,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_125,c_0_1465]),
[final] ).
cnf(c_0_1495,negated_conjecture,
( ~ product(e_1,e_2,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_122,c_0_1466]),
[final] ).
cnf(c_0_1496,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1467,c_0_1451])]),
[final] ).
cnf(c_0_1497,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1468,c_0_1451])]),
[final] ).
cnf(c_0_1501,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_69,c_0_1463]),
[final] ).
cnf(c_0_1502,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_69,c_0_1464]),
[final] ).
cnf(c_0_1503,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_69,c_0_1458]),
[final] ).
cnf(c_0_1504,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_69,c_0_1469]),
[final] ).
cnf(c_0_1505,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_69,c_0_1470]),
[final] ).
cnf(c_0_1506,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_69,c_0_1465]),
[final] ).
cnf(c_0_1507,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_69,c_0_1471]),
[final] ).
cnf(c_0_1508,negated_conjecture,
product(e_2,e_4,e_5),
inference(sr,[status(thm)],[c_0_1472,c_0_1430]),
[final] ).
cnf(c_0_1509,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_69,c_0_1473]),
[final] ).
cnf(c_0_1510,negated_conjecture,
product(e_2,e_1,e_3),
inference(sr,[status(thm)],[c_0_1474,c_0_1430]),
[final] ).
cnf(c_0_1511,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_69,c_0_1466]),
[final] ).
cnf(c_0_1512,negated_conjecture,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_1475,c_0_1476]),
[final] ).
cnf(c_0_1513,negated_conjecture,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[c_0_1477,c_0_1430]),
[final] ).
cnf(c_0_1514,negated_conjecture,
product(e_3,e_5,e_2),
inference(sr,[status(thm)],[c_0_1478,c_0_1430]),
[final] ).
cnf(c_0_1515,negated_conjecture,
product(e_5,e_4,e_3),
inference(sr,[status(thm)],[c_0_1479,c_0_1430]),
[final] ).
cnf(c_0_1516,negated_conjecture,
product(e_4,e_3,e_2),
inference(sr,[status(thm)],[c_0_1480,c_0_1430]),
[final] ).
cnf(c_0_1518,negated_conjecture,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[c_0_1482,c_0_1430]),
[final] ).
cnf(c_0_1519,negated_conjecture,
product(e_1,e_4,e_2),
inference(sr,[status(thm)],[c_0_1483,c_0_1430]),
[final] ).
cnf(c_0_1520,negated_conjecture,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[c_0_1484,c_0_1430]),
[final] ).
cnf(c_0_1522,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_1523,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_1524,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_1525,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_1526,negated_conjecture,
( product(e_4,e_1,X1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1486]),
[final] ).
cnf(c_0_1527,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_502,c_0_1487]),
[final] ).
cnf(c_0_1530,negated_conjecture,
( product(e_2,e_2,X1)
| ~ product(e_2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_902]),
[final] ).
cnf(c_0_1531,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1488,c_0_1469]),
[final] ).
cnf(c_0_1532,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1489,c_0_1471]),
[final] ).
cnf(c_0_1533,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1490,c_0_1465]),
[final] ).
cnf(c_0_1534,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1491,c_0_1466]),
[final] ).
cnf(c_0_1535,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1492,c_0_1470]),
[final] ).
cnf(c_0_1536,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1493,c_0_1466]),
[final] ).
cnf(c_0_1537,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1494,c_0_1470]),
[final] ).
cnf(c_0_1538,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1495,c_0_1470]),
[final] ).
cnf(c_0_1539,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1496,c_0_1471]),
[final] ).
cnf(c_0_1540,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1497,c_0_1464]),
[final] ).
cnf(c_0_1541,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_236,c_0_1463]),
[final] ).
cnf(c_0_1542,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_186,c_0_1463]),
[final] ).
cnf(c_0_1543,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_259,c_0_1464]),
[final] ).
cnf(c_0_1544,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_205,c_0_1464]),
[final] ).
cnf(c_0_1545,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_143,c_0_1464]),
[final] ).
cnf(c_0_1546,negated_conjecture,
( ~ product(e_4,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_231,c_0_1458]),
[final] ).
cnf(c_0_1547,negated_conjecture,
( ~ product(e_5,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_238,c_0_1458]),
[final] ).
cnf(c_0_1548,negated_conjecture,
( ~ product(e_2,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_1458]),
[final] ).
cnf(c_0_1549,negated_conjecture,
( ~ product(e_3,e_5,X1)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_83,c_0_1458]),
[final] ).
cnf(c_0_1550,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_236,c_0_1469]),
[final] ).
cnf(c_0_1551,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_186,c_0_1469]),
[final] ).
cnf(c_0_1552,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_231,c_0_1470]),
[final] ).
cnf(c_0_1553,negated_conjecture,
( ~ product(e_5,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_238,c_0_1470]),
[final] ).
cnf(c_0_1554,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_1470]),
[final] ).
cnf(c_0_1555,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_83,c_0_1470]),
[final] ).
cnf(c_0_1556,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_231,c_0_1465]),
[final] ).
cnf(c_0_1557,negated_conjecture,
( ~ product(e_5,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_238,c_0_1465]),
[final] ).
cnf(c_0_1558,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_1465]),
[final] ).
cnf(c_0_1559,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_83,c_0_1465]),
[final] ).
cnf(c_0_1560,negated_conjecture,
( ~ product(e_4,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_259,c_0_1471]),
[final] ).
cnf(c_0_1561,negated_conjecture,
( ~ product(e_3,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_205,c_0_1471]),
[final] ).
cnf(c_0_1562,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_143,c_0_1471]),
[final] ).
cnf(c_0_1563,negated_conjecture,
( ~ product(e_2,e_2,X1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_145,c_0_1473]),
[final] ).
cnf(c_0_1564,negated_conjecture,
( ~ product(e_4,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_231,c_0_1466]),
[final] ).
cnf(c_0_1565,negated_conjecture,
( ~ product(e_5,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_238,c_0_1466]),
[final] ).
cnf(c_0_1566,negated_conjecture,
( ~ product(e_2,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_1466]),
[final] ).
cnf(c_0_1567,negated_conjecture,
( ~ product(e_3,e_3,X1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_1466]),
[final] ).
cnf(c_0_1568,negated_conjecture,
( ~ product(e_2,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1498,c_0_1451])]),
[final] ).
cnf(c_0_1569,negated_conjecture,
( ~ product(e_3,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1499,c_0_1451])]),
[final] ).
cnf(c_0_1570,negated_conjecture,
( ~ product(e_4,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1500,c_0_1451])]),
[final] ).
cnf(c_0_1571,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1501,c_0_1486]),
[final] ).
cnf(c_0_1572,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1502,c_0_1455]),
[final] ).
cnf(c_0_1573,negated_conjecture,
( product(X1,e_5,e_2)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1503,c_0_1454]),
[final] ).
cnf(c_0_1574,negated_conjecture,
( product(X1,e_2,e_5)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_1504,c_0_1421]),
[final] ).
cnf(c_0_1575,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_1505,c_0_1451]),
[final] ).
cnf(c_0_1576,negated_conjecture,
( product(X1,e_4,e_5)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1506,c_0_1443]),
[final] ).
cnf(c_0_1577,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_1507,c_0_1508]),
[final] ).
cnf(c_0_1578,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_1509,c_0_1510]),
[final] ).
cnf(c_0_1579,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_1511,c_0_1450]),
[final] ).
cnf(c_0_1580,negated_conjecture,
( product(e_5,e_5,X1)
| ~ product(e_5,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1512]),
[final] ).
cnf(c_0_1581,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_1481,c_0_1451])]),
[final] ).
cnf(c_0_1582,negated_conjecture,
( product(e_4,e_4,X1)
| ~ product(e_4,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1513]),
[final] ).
cnf(c_0_1583,negated_conjecture,
( product(e_3,e_5,X1)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1459]),
[final] ).
cnf(c_0_1584,negated_conjecture,
( product(e_2,e_5,X1)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1514]),
[final] ).
cnf(c_0_1585,negated_conjecture,
( product(e_3,e_4,X1)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1515]),
[final] ).
cnf(c_0_1586,negated_conjecture,
( product(e_2,e_3,X1)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1516]),
[final] ).
cnf(c_0_1587,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_4,X1,e_2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1517,c_0_1487]),c_0_1430]),
[final] ).
cnf(c_0_1588,negated_conjecture,
( product(e_5,e_1,X1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_69,c_0_1487]),
[final] ).
cnf(c_0_1589,negated_conjecture,
( product(e_2,e_1,X1)
| ~ product(e_1,X1,e_5) ),
inference(spm,[status(thm)],[c_0_69,c_0_1518]),
[final] ).
cnf(c_0_1590,negated_conjecture,
( product(e_2,e_4,X1)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_69,c_0_1519]),
[final] ).
cnf(c_0_1591,negated_conjecture,
( product(e_3,e_3,X1)
| ~ product(e_3,X1,e_3) ),
inference(spm,[status(thm)],[c_0_69,c_0_1520]),
[final] ).
cnf(c_0_1592,negated_conjecture,
( product(e_3,e_1,X1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1510]),
[final] ).
cnf(c_0_1593,negated_conjecture,
( product(e_5,e_4,X1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1508]),
[final] ).
cnf(c_0_1594,negated_conjecture,
( product(e_4,e_5,X1)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_69,c_0_1421]),
[final] ).
cnf(c_0_1595,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_502,c_0_1071]),c_0_71]),
[final] ).
cnf(c_0_1596,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_366,c_0_1521]),c_0_143]),c_0_268]),
[final] ).
cnf(c_0_1597,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_69,c_0_72]),
[final] ).
cnf(c_0_1598,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1522]),
[final] ).
cnf(c_0_1599,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1523]),
[final] ).
cnf(c_0_1600,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1524]),
[final] ).
cnf(c_0_1601,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_45,c_0_1525]),
[final] ).
cnf(c_0_1602,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(spm,[status(thm)],[c_0_142,c_0_1512]),
[final] ).
cnf(c_0_1603,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1463]),c_0_1516])]),
[final] ).
cnf(c_0_1604,negated_conjecture,
~ product(e_5,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_1458]),c_0_1459])]),
[final] ).
cnf(c_0_1605,negated_conjecture,
~ product(e_5,e_1,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_1458]),c_0_1459])]),
[final] ).
cnf(c_0_1606,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_1470]),c_0_1453])]),
[final] ).
cnf(c_0_1607,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1526,c_0_1465]),c_0_1527]),
[final] ).
cnf(c_0_1608,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(spm,[status(thm)],[c_0_83,c_0_1459]),
[final] ).
cnf(c_0_1609,negated_conjecture,
~ product(e_1,e_4,e_3),
inference(spm,[status(thm)],[c_0_142,c_0_1459]),
[final] ).
cnf(c_0_1610,negated_conjecture,
~ product(e_1,e_5,e_2),
inference(spm,[status(thm)],[c_0_268,c_0_1459]),
[final] ).
cnf(c_0_1611,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_238,c_0_1449]),
[final] ).
cnf(c_0_1612,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(spm,[status(thm)],[c_0_83,c_0_1449]),
[final] ).
cnf(c_0_1613,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(spm,[status(thm)],[c_0_122,c_0_1449]),
[final] ).
cnf(c_0_1614,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(spm,[status(thm)],[c_0_692,c_0_1449]),
[final] ).
cnf(c_0_1615,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_259,c_0_1515]),
[final] ).
cnf(c_0_1616,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_154,c_0_1515]),
[final] ).
cnf(c_0_1617,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_1475]),c_0_366]),
[final] ).
cnf(c_0_1618,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(spm,[status(thm)],[c_0_104,c_0_1487]),
[final] ).
cnf(c_0_1619,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(spm,[status(thm)],[c_0_84,c_0_1487]),
[final] ).
cnf(c_0_1620,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_102,c_0_1487]),
[final] ).
cnf(c_0_1621,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(spm,[status(thm)],[c_0_692,c_0_1487]),
[final] ).
cnf(c_0_1622,negated_conjecture,
~ product(e_3,e_5,e_1),
inference(spm,[status(thm)],[c_0_236,c_0_1443]),
[final] ).
cnf(c_0_1623,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(spm,[status(thm)],[c_0_186,c_0_1443]),
[final] ).
cnf(c_0_1624,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(spm,[status(thm)],[c_0_142,c_0_1443]),
[final] ).
cnf(c_0_1625,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(spm,[status(thm)],[c_0_135,c_0_1443]),
[final] ).
cnf(c_0_1626,negated_conjecture,
~ product(e_4,e_5,e_4),
inference(spm,[status(thm)],[c_0_188,c_0_1443]),
[final] ).
cnf(c_0_1627,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_275,c_0_1443]),
[final] ).
cnf(c_0_1628,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(spm,[status(thm)],[c_0_76,c_0_1443]),
[final] ).
cnf(c_0_1629,negated_conjecture,
~ product(e_4,e_5,e_3),
inference(spm,[status(thm)],[c_0_80,c_0_1443]),
[final] ).
cnf(c_0_1630,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(spm,[status(thm)],[c_0_259,c_0_1518]),
[final] ).
cnf(c_0_1631,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(spm,[status(thm)],[c_0_92,c_0_1518]),
[final] ).
cnf(c_0_1632,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(spm,[status(thm)],[c_0_102,c_0_1518]),
[final] ).
cnf(c_0_1633,plain,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1528,c_0_1518])]),
[final] ).
cnf(c_0_1634,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_231,c_0_1453]),
[final] ).
cnf(c_0_1635,negated_conjecture,
~ product(e_1,e_2,e_3),
inference(spm,[status(thm)],[c_0_366,c_0_1453]),
[final] ).
cnf(c_0_1636,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_366,c_0_1486]),
[final] ).
cnf(c_0_1637,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_231,c_0_1519]),
[final] ).
cnf(c_0_1638,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(spm,[status(thm)],[c_0_238,c_0_1519]),
[final] ).
cnf(c_0_1639,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(spm,[status(thm)],[c_0_154,c_0_1519]),
[final] ).
cnf(c_0_1640,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(spm,[status(thm)],[c_0_125,c_0_1519]),
[final] ).
cnf(c_0_1641,plain,
~ product(e_1,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1529,c_0_1519])]),
[final] ).
cnf(c_0_1642,plain,
~ product(e_1,e_5,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_1519])]),
[final] ).
cnf(c_0_1643,plain,
~ product(e_3,e_1,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_1519])]),
[final] ).
cnf(c_0_1644,negated_conjecture,
~ product(e_4,e_2,e_1),
inference(spm,[status(thm)],[c_0_259,c_0_1454]),
[final] ).
cnf(c_0_1645,negated_conjecture,
~ product(e_5,e_2,e_4),
inference(spm,[status(thm)],[c_0_188,c_0_1454]),
[final] ).
cnf(c_0_1646,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(spm,[status(thm)],[c_0_275,c_0_1454]),
[final] ).
cnf(c_0_1647,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_80,c_0_1454]),
[final] ).
cnf(c_0_1648,negated_conjecture,
~ product(e_2,e_4,e_1),
inference(spm,[status(thm)],[c_0_145,c_0_1450]),
[final] ).
cnf(c_0_1649,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(spm,[status(thm)],[c_0_154,c_0_1450]),
[final] ).
cnf(c_0_1650,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(spm,[status(thm)],[c_0_125,c_0_1450]),
[final] ).
cnf(c_0_1651,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_188,c_0_1450]),
[final] ).
cnf(c_0_1652,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(spm,[status(thm)],[c_0_275,c_0_1450]),
[final] ).
cnf(c_0_1653,negated_conjecture,
~ product(e_3,e_4,e_2),
inference(spm,[status(thm)],[c_0_76,c_0_1450]),
[final] ).
cnf(c_0_1654,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(spm,[status(thm)],[c_0_80,c_0_1450]),
[final] ).
cnf(c_0_1655,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_268,c_0_1520]),
[final] ).
cnf(c_0_1656,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(spm,[status(thm)],[c_0_502,c_0_1455]),
[final] ).
cnf(c_0_1657,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_268,c_0_1510]),
[final] ).
cnf(c_0_1658,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_236,c_0_1456]),
[final] ).
cnf(c_0_1659,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_1433]),c_0_186]),
[final] ).
cnf(c_0_1660,negated_conjecture,
~ product(e_1,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_1434]),c_0_71]),
[final] ).
cnf(c_0_1661,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_1461]),c_0_145]),
[final] ).
cnf(c_0_1662,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1530,c_0_159]),c_0_571]),
[final] ).
cnf(c_0_1663,axiom,
~ equalish(e_5,e_4),
e_5_is_not_e_4,
[final] ).
cnf(c_0_1664,axiom,
~ equalish(e_5,e_3),
e_5_is_not_e_3,
[final] ).
cnf(c_0_1665,axiom,
~ equalish(e_5,e_2),
e_5_is_not_e_2,
[final] ).
cnf(c_0_1666,axiom,
~ equalish(e_5,e_1),
e_5_is_not_e_1,
[final] ).
cnf(c_0_1667,axiom,
~ equalish(e_4,e_3),
e_4_is_not_e_3,
[final] ).
cnf(c_0_1668,axiom,
~ equalish(e_4,e_2),
e_4_is_not_e_2,
[final] ).
cnf(c_0_1669,axiom,
~ equalish(e_4,e_1),
e_4_is_not_e_1,
[final] ).
cnf(c_0_1670,axiom,
~ equalish(e_2,e_3),
e_2_is_not_e_3,
[final] ).
cnf(c_0_1671,axiom,
~ equalish(e_1,e_3),
e_1_is_not_e_3,
[final] ).
cnf(c_0_1672,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2,
[final] ).
cnf(c_0_1673,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP135-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Oct 3 02:35:14 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.53 Running first-order theorem proving
% 0.21/0.53 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.DTtS9RTned/E---3.1_2341.p
% 40.90/300.03 # Version: 3.1pre001
% 40.90/300.03 # Preprocessing class: FSMSSMSSSSSNFFN.
% 40.90/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.90/300.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 40.90/300.03 # Starting new_bool_3 with 300s (1) cores
% 40.90/300.03 # Starting new_bool_1 with 300s (1) cores
% 40.90/300.03 # Starting sh5l with 300s (1) cores
% 40.90/300.03 # new_bool_1 with pid 2450 completed with status 1
% 40.90/300.03 # Result found by new_bool_1
% 40.90/300.03 # Preprocessing class: FSMSSMSSSSSNFFN.
% 40.90/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.90/300.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 40.90/300.03 # Starting new_bool_3 with 300s (1) cores
% 40.90/300.03 # Starting new_bool_1 with 300s (1) cores
% 40.90/300.03 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 40.90/300.03 # Search class: FGHNF-FFSM00-SFFFFFNN
% 40.90/300.03 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 40.90/300.03 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 40.90/300.03 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 2455 completed with status 1
% 40.90/300.03 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 40.90/300.03 # Preprocessing class: FSMSSMSSSSSNFFN.
% 40.90/300.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 40.90/300.03 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 40.90/300.03 # Starting new_bool_3 with 300s (1) cores
% 40.90/300.03 # Starting new_bool_1 with 300s (1) cores
% 40.90/300.03 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 40.90/300.03 # Search class: FGHNF-FFSM00-SFFFFFNN
% 40.90/300.03 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 40.90/300.03 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 181s (1) cores
% 40.90/300.03 # Preprocessing time : 0.001 s
% 40.90/300.03 # Presaturation interreduction done
% 40.90/300.03
% 40.90/300.03 # No proof found!
% 40.90/300.03 # SZS status Satisfiable
% 40.90/300.03 # SZS output start Saturation
% See solution above
% 40.90/300.03 # Parsed axioms : 45
% 40.90/300.03 # Removed by relevancy pruning/SinE : 0
% 40.90/300.03 # Initial clauses : 45
% 40.90/300.03 # Removed in clause preprocessing : 0
% 40.90/300.03 # Initial clauses in saturation : 45
% 40.90/300.03 # Processed clauses : 16247
% 40.90/300.03 # ...of these trivial : 442
% 40.90/300.03 # ...subsumed : 7313
% 40.90/300.03 # ...remaining for further processing : 8492
% 40.90/300.03 # Other redundant clauses eliminated : 0
% 40.90/300.03 # Clauses deleted for lack of memory : 0
% 40.90/300.03 # Backward-subsumed : 5981
% 40.90/300.03 # Backward-rewritten : 1536
% 40.90/300.03 # Generated clauses : 99281
% 40.90/300.03 # ...of the previous two non-redundant : 95831
% 40.90/300.03 # ...aggressively subsumed : 0
% 40.90/300.03 # Contextual simplify-reflections : 3235
% 40.90/300.03 # Paramodulations : 98653
% 40.90/300.03 # Factorizations : 0
% 40.90/300.03 # NegExts : 0
% 40.90/300.03 # Equation resolutions : 0
% 40.90/300.03 # Total rewrite steps : 2494
% 40.90/300.03 # Propositional unsat checks : 0
% 40.90/300.03 # Propositional check models : 0
% 40.90/300.03 # Propositional check unsatisfiable : 0
% 40.90/300.03 # Propositional clauses : 0
% 40.90/300.03 # Propositional clauses after purity: 0
% 40.90/300.03 # Propositional unsat core size : 0
% 40.90/300.03 # Propositional preprocessing time : 0.000
% 40.90/300.03 # Propositional encoding time : 0.000
% 40.90/300.03 # Propositional solver time : 0.000
% 40.90/300.03 # Success case prop preproc time : 0.000
% 40.90/300.03 # Success case prop encoding time : 0.000
% 40.90/300.03 # Success case prop solver time : 0.000
% 40.90/300.03 # Current number of processed clauses : 302
% 40.90/300.03 # Positive orientable unit clauses : 43
% 40.90/300.03 # Positive unorientable unit clauses: 0
% 40.90/300.03 # Negative unit clauses : 110
% 40.90/300.03 # Non-unit-clauses : 149
% 40.90/300.03 # Current number of unprocessed clauses: 0
% 40.90/300.03 # ...number of literals in the above : 0
% 40.90/300.03 # Current number of archived formulas : 0
% 40.90/300.03 # Current number of archived clauses : 8190
% 40.90/300.03 # Clause-clause subsumption calls (NU) : 4164748
% 40.90/300.03 # Rec. Clause-clause subsumption calls : 190157
% 40.90/300.03 # Non-unit clause-clause subsumptions : 14427
% 40.90/300.03 # Unit Clause-clause subsumption calls : 20602
% 40.90/300.03 # Rewrite failures with RHS unbound : 0
% 40.90/300.03 # BW rewrite match attempts : 142
% 40.90/300.03 # BW rewrite match successes : 23
% 40.90/300.03 # Condensation attempts : 0
% 40.90/300.03 # Condensation successes : 0
% 40.90/300.03 # Termbank termtop insertions : 2543570
% 40.90/300.03
% 40.90/300.03 # -------------------------------------------------
% 40.90/300.03 # User time : 5.002 s
% 40.90/300.03 # System time : 0.077 s
% 40.90/300.03 # Total time : 5.078 s
% 40.90/300.03 # Maximum resident set size: 2096 pages
% 40.90/300.03
% 40.90/300.03 # -------------------------------------------------
% 40.90/300.03 # User time : 5.002 s
% 40.90/300.03 # System time : 0.082 s
% 40.90/300.03 # Total time : 5.084 s
% 40.90/300.03 # Maximum resident set size: 2248 pages
% 40.90/300.03 % E---3.1 exiting
% 40.90/300.03 % E---3.1 exiting
%------------------------------------------------------------------------------