TSTP Solution File: GRP125-3.004 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP125-3.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 : Sat May 4 07:56:49 EDT 2024
% Result : Satisfiable 0.20s 0.55s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_45)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_46,plain,
~ equalish(e_3,e_4),
c_0_43,
[final] ).
cnf(c_0_47,plain,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
c_0_44,
[final] ).
cnf(c_0_50,plain,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| ~ group_element(X2) ),
c_0_45,
[final] ).
cnf(c_0_51,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_52,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_53,axiom,
product(X1,X1,X1),
product_idempotence,
[final] ).
cnf(c_0_54,plain,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
c_0_48,
[final] ).
cnf(c_0_56,plain,
~ equalish(e_1,e_4),
c_0_49,
[final] ).
cnf(c_0_58,plain,
( 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_50,c_0_51]),
[final] ).
cnf(c_0_59,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_60,plain,
~ product(e_3,e_4,e_4),
inference(spm,[status(thm)],[c_0_52,c_0_53]),
[final] ).
cnf(c_0_61,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_54]),
[final] ).
cnf(c_0_62,plain,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_55,
[final] ).
cnf(c_0_63,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_54]),
[final] ).
cnf(c_0_64,negated_conjecture,
( product(X3,X4,X1)
| ~ product(X1,X2,X3)
| ~ product(X2,X1,X4) ),
c_0_57,
[final] ).
cnf(c_0_66,plain,
( 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_50,c_0_59]),
[final] ).
cnf(c_0_67,plain,
~ product(e_4,e_3,e_4),
inference(spm,[status(thm)],[c_0_61,c_0_53]),
[final] ).
cnf(c_0_68,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_62]),
[final] ).
cnf(c_0_70,axiom,
group_element(e_1),
element_1,
[final] ).
cnf(c_0_71,plain,
~ product(e_1,e_4,e_1),
inference(spm,[status(thm)],[c_0_63,c_0_53]),
[final] ).
cnf(c_0_74,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_68,c_0_53]),
[final] ).
cnf(c_0_77,plain,
~ equalish(e_2,e_4),
c_0_69,
[final] ).
cnf(c_0_78,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_47]),
[final] ).
cnf(c_0_81,plain,
~ equalish(e_1,e_3),
c_0_75,
[final] ).
cnf(c_0_82,plain,
~ equalish(e_2,e_1),
c_0_76,
[final] ).
cnf(c_0_83,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_54]),
[final] ).
cnf(c_0_87,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_47]),
[final] ).
cnf(c_0_88,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_47]),
[final] ).
cnf(c_0_89,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_47]),
[final] ).
cnf(c_0_92,plain,
~ equalish(e_2,e_3),
c_0_86,
[final] ).
cnf(c_0_96,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_97,plain,
~ product(e_2,e_4,e_4),
inference(spm,[status(thm)],[c_0_89,c_0_53]),
[final] ).
cnf(c_0_100,plain,
( ~ product(e_3,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_47]),
[final] ).
cnf(c_0_105,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]),
[final] ).
cnf(c_0_106,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_54]),
[final] ).
cnf(c_0_111,plain,
~ product(e_2,e_3,e_3),
inference(spm,[status(thm)],[c_0_100,c_0_53]),
[final] ).
cnf(c_0_118,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_54]),
[final] ).
cnf(c_0_119,plain,
~ equalish(e_4,e_3),
c_0_112,
[final] ).
cnf(c_0_120,plain,
( equalish(X3,X4)
| ~ cycle(X1,X2)
| ~ product(X1,e_1,X3)
| ~ greater(X2,e_0)
| ~ next(X1,X4) ),
c_0_113,
[final] ).
cnf(c_0_121,plain,
( cycle(X1,e_0)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| ~ group_element(X1) ),
c_0_114,
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,e_1,e_4)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]),
[final] ).
cnf(c_0_126,axiom,
greater(e_1,e_0),
e_1_greater_e_0,
[final] ).
cnf(c_0_127,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_130,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_123]),c_0_53])]),
[final] ).
cnf(c_0_134,plain,
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X2)
| ~ greater(X2,X1) ),
c_0_131,
[final] ).
cnf(c_0_137,axiom,
greater(e_4,e_2),
e_4_greater_e_2,
[final] ).
cnf(c_0_140,axiom,
greater(e_3,e_0),
e_3_greater_e_0,
[final] ).
cnf(c_0_143,axiom,
greater(e_2,e_0),
e_2_greater_e_0,
[final] ).
cnf(c_0_145,negated_conjecture,
product(e_2,e_1,e_3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_142]),c_0_143]),c_0_127])]),c_0_133]),
[final] ).
cnf(c_0_146,plain,
( ~ product(X1,e_3,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_54]),
[final] ).
cnf(c_0_149,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(spm,[status(thm)],[c_0_63,c_0_145]),
[final] ).
cnf(c_0_150,plain,
~ product(e_1,e_3,e_1),
inference(spm,[status(thm)],[c_0_146,c_0_53]),
[final] ).
cnf(c_0_152,plain,
product(e_3,e_4,e_2),
inference(sr,[status(thm)],[c_0_148,c_0_149]),
[final] ).
cnf(c_0_154,plain,
~ product(e_1,e_3,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]),
[final] ).
cnf(c_0_158,negated_conjecture,
( product(X1,e_2,e_4)
| ~ product(e_4,e_3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_152]),
[final] ).
cnf(c_0_166,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_163]),c_0_53])]),
[final] ).
cnf(c_0_168,plain,
product(e_2,e_3,e_4),
inference(sr,[status(thm)],[c_0_165,c_0_166]),
[final] ).
cnf(c_0_169,plain,
~ product(e_4,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]),
[final] ).
cnf(c_0_175,plain,
( 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_50,c_0_96]),
[final] ).
cnf(c_0_176,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_171]),c_0_53])]),
[final] ).
cnf(c_0_177,plain,
~ product(e_3,e_2,e_3),
inference(spm,[status(thm)],[c_0_118,c_0_53]),
[final] ).
cnf(c_0_178,plain,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_83,c_0_152]),
[final] ).
cnf(c_0_179,plain,
~ equalish(e_1,e_2),
c_0_172,
[final] ).
cnf(c_0_180,plain,
( equalish(X2,X5)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ next(X1,X3)
| ~ greater(X2,e_0)
| ~ next(X4,X5) ),
c_0_173,
[final] ).
cnf(c_0_181,plain,
~ equalish(e_3,e_2),
c_0_174,
[final] ).
cnf(c_0_182,plain,
product(e_3,e_2,e_1),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_59]),c_0_176]),c_0_177]),c_0_178]),
[final] ).
cnf(c_0_183,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X2,X3)
| ~ next(X3,e_2)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_126])]),
[final] ).
cnf(c_0_184,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X2,X3)
| ~ next(X3,e_2)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_180]),c_0_140])]),
[final] ).
cnf(c_0_186,negated_conjecture,
( product(X1,e_1,e_2)
| ~ product(e_2,e_3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_182]),
[final] ).
cnf(c_0_188,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_190,negated_conjecture,
product(e_4,e_1,e_2),
inference(spm,[status(thm)],[c_0_186,c_0_168]),
[final] ).
cnf(c_0_192,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_59]),
[final] ).
cnf(c_0_193,plain,
product(e_2,e_4,e_1),
inference(sr,[status(thm)],[c_0_108,c_0_149]),
[final] ).
cnf(c_0_194,plain,
~ product(e_4,e_2,e_4),
inference(spm,[status(thm)],[c_0_83,c_0_53]),
[final] ).
cnf(c_0_195,plain,
~ product(e_4,e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_189]),c_0_53])]),
[final] ).
cnf(c_0_196,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(spm,[status(thm)],[c_0_106,c_0_190]),
[final] ).
cnf(c_0_197,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X2,X3)
| ~ next(X3,e_4)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_180]),c_0_126])]),
[final] ).
cnf(c_0_198,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X2,X3)
| ~ next(X3,e_4)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_180]),c_0_143])]),
[final] ).
cnf(c_0_199,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X2,X3)
| ~ next(X3,e_4)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_180]),c_0_140])]),
[final] ).
cnf(c_0_201,negated_conjecture,
( product(X1,e_1,e_4)
| ~ product(e_4,e_2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_193]),
[final] ).
cnf(c_0_202,plain,
product(e_4,e_2,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_51]),c_0_194]),c_0_195]),c_0_196]),
[final] ).
cnf(c_0_203,plain,
( cycle(e_2,e_0)
| ~ cycle(X1,X2)
| ~ next(X2,e_4)
| ~ next(e_2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_125]),c_0_198]),c_0_199]),
[final] ).
cnf(c_0_204,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_206,negated_conjecture,
product(e_3,e_1,e_4),
inference(spm,[status(thm)],[c_0_201,c_0_202]),
[final] ).
cnf(c_0_207,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_208,plain,
( cycle(e_2,e_0)
| ~ cycle(X1,e_3)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]),
[final] ).
cnf(c_0_210,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X2,X3)
| ~ next(X3,e_1)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_180]),c_0_143])]),
[final] ).
cnf(c_0_214,axiom,
next(e_0,e_1),
e_0_then_e_1,
[final] ).
cnf(c_0_215,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,e_0)
| ~ cycle(X4,X5)
| ~ next(X3,X4)
| ~ greater(X3,X1)
| ~ greater(X2,X5) ),
c_0_212,
[final] ).
cnf(c_0_216,axiom,
cycle(e_4,e_0),
cycle3,
[final] ).
cnf(c_0_219,plain,
( ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_4,X3)
| ~ greater(X4,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]),
[final] ).
cnf(c_0_222,plain,
( equalish(X2,X3)
| ~ cycle(X1,X2)
| ~ cycle(X1,X3) ),
c_0_217,
[final] ).
cnf(c_0_225,negated_conjecture,
( cycle(e_2,e_0)
| cycle(e_2,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_216]),c_0_204])]),
[final] ).
cnf(c_0_227,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X2,X3)
| ~ next(X3,e_3)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_180]),c_0_126])]),
[final] ).
cnf(c_0_228,plain,
( ~ cycle(X1,e_2)
| ~ cycle(X2,X3)
| ~ next(X3,e_3)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_180]),c_0_143])]),
[final] ).
cnf(c_0_229,plain,
( ~ cycle(e_3,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_207]),
[final] ).
cnf(c_0_230,plain,
~ equalish(e_4,e_2),
c_0_220,
[final] ).
cnf(c_0_231,plain,
~ equalish(e_4,e_1),
c_0_221,
[final] ).
cnf(c_0_232,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_56,c_0_222]),
[final] ).
cnf(c_0_233,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_222]),
[final] ).
cnf(c_0_234,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X1,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_222]),
[final] ).
cnf(c_0_235,plain,
~ product(e_1,e_2,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_152])]),
[final] ).
cnf(c_0_236,plain,
~ product(e_1,e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_168])]),
[final] ).
cnf(c_0_237,plain,
~ product(e_1,e_2,e_1),
inference(spm,[status(thm)],[c_0_106,c_0_53]),
[final] ).
cnf(c_0_238,plain,
( ~ product(X1,e_1,e_1)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_179,c_0_120]),
[final] ).
cnf(c_0_240,plain,
( ~ cycle(e_2,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_137]),
[final] ).
cnf(c_0_241,negated_conjecture,
( cycle(e_2,e_2)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_225]),
[final] ).
cnf(c_0_242,plain,
~ equalish(e_3,e_1),
c_0_226,
[final] ).
cnf(c_0_243,negated_conjecture,
( cycle(e_2,e_2)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_2,X3)
| ~ greater(X4,X2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_225]),
[final] ).
cnf(c_0_244,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_245,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ next(X2,e_3)
| ~ next(e_3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_192]),c_0_228]),
[final] ).
cnf(c_0_246,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(X1,X2)
| ~ greater(e_1,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_192]),
[final] ).
cnf(c_0_247,plain,
( ~ product(X1,e_1,e_4)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_230,c_0_120]),
[final] ).
cnf(c_0_248,plain,
( ~ product(X1,e_1,e_4)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_231,c_0_120]),
[final] ).
cnf(c_0_249,plain,
( cycle(e_3,e_0)
| ~ cycle(e_3,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_192]),c_0_233]),c_0_234]),
[final] ).
cnf(c_0_250,plain,
( ~ product(X1,e_1,e_2)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_92,c_0_120]),
[final] ).
cnf(c_0_251,plain,
( ~ product(X1,e_1,e_2)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_82,c_0_120]),
[final] ).
cnf(c_0_252,negated_conjecture,
( product(X1,e_3,e_1)
| ~ product(e_1,e_2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_145]),
[final] ).
cnf(c_0_253,plain,
product(e_1,e_2,e_4),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_70]),c_0_235]),c_0_236]),c_0_237]),
[final] ).
cnf(c_0_254,negated_conjecture,
( product(X1,e_4,e_3)
| ~ product(e_3,e_2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_168]),
[final] ).
cnf(c_0_255,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| ~ cycle(X1,X2)
| ~ next(X2,e_2)
| ~ next(e_3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_192]),c_0_184]),
[final] ).
cnf(c_0_256,plain,
( cycle(e_3,e_0)
| ~ cycle(X1,X2)
| ~ next(X2,e_4)
| ~ next(e_3,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_192]),c_0_198]),c_0_199]),
[final] ).
cnf(c_0_257,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_53]),c_0_126]),c_0_188])]),
[final] ).
cnf(c_0_258,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_259,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(e_2,X3)
| ~ greater(X1,e_2)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]),
[final] ).
cnf(c_0_260,plain,
( ~ product(X1,e_1,e_3)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_242,c_0_120]),
[final] ).
cnf(c_0_261,plain,
( ~ product(X1,e_1,e_3)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_181,c_0_120]),
[final] ).
cnf(c_0_262,plain,
( ~ product(X1,e_1,e_3)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_46,c_0_120]),
[final] ).
cnf(c_0_264,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,e_2)
| ~ next(X3,e_3)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_228,c_0_241]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,e_2)
| ~ next(X3,e_1)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_210,c_0_241]),
[final] ).
cnf(c_0_266,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,e_2)
| ~ next(X3,e_4)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_198,c_0_241]),
[final] ).
cnf(c_0_267,negated_conjecture,
( cycle(e_2,e_2)
| ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]),
[final] ).
cnf(c_0_268,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_0)
| ~ cycle(X1,e_2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_127]),
[final] ).
cnf(c_0_269,plain,
( cycle(e_1,e_0)
| ~ cycle(e_1,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_239]),c_0_233]),c_0_234]),
[final] ).
cnf(c_0_270,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_0)
| ~ cycle(X1,e_0)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_246,c_0_126]),
[final] ).
cnf(c_0_278,negated_conjecture,
product(e_4,e_3,e_1),
inference(spm,[status(thm)],[c_0_252,c_0_253]),
[final] ).
cnf(c_0_279,negated_conjecture,
product(e_1,e_4,e_3),
inference(spm,[status(thm)],[c_0_254,c_0_182]),
[final] ).
cnf(c_0_281,plain,
( cycle(e_2,e_0)
| ~ cycle(e_2,e_4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_125]),c_0_233]),c_0_234]),
[final] ).
cnf(c_0_282,plain,
( cycle(e_3,e_2)
| cycle(e_3,e_0)
| ~ cycle(X1,e_1)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_255,c_0_188]),
[final] ).
cnf(c_0_283,plain,
( cycle(e_3,e_0)
| ~ cycle(X1,e_3)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_256,c_0_204]),
[final] ).
cnf(c_0_284,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_3)
| ~ cycle(X1,X2)
| ~ next(X2,e_3)
| ~ next(e_2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_125]),c_0_228]),
[final] ).
cnf(c_0_285,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_1,X3)
| ~ greater(X4,X2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_257]),
[final] ).
cnf(c_0_286,plain,
( ~ cycle(e_1,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_258]),
[final] ).
cnf(c_0_287,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| ~ product(e_1,e_1,X1)
| ~ greater(X1,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_257]),
[final] ).
cnf(c_0_288,axiom,
greater(e_4,e_0),
e_4_greater_e_0,
[final] ).
cnf(c_0_290,axiom,
greater(e_3,e_2),
e_3_greater_e_2,
[final] ).
cnf(c_0_294,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_46,c_0_62]),
[final] ).
cnf(c_0_295,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_81,c_0_62]),
[final] ).
cnf(c_0_296,plain,
( ~ product(X1,X2,e_3)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_62]),
[final] ).
cnf(c_0_300,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_77,c_0_62]),
[final] ).
cnf(c_0_301,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_62]),
[final] ).
cnf(c_0_302,negated_conjecture,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2)
| ~ next(e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_192]),c_0_244])]),
[final] ).
cnf(c_0_303,negated_conjecture,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2)
| ~ next(e_1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_192]),c_0_127])]),
[final] ).
cnf(c_0_304,negated_conjecture,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2)
| ~ next(e_1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_192]),c_0_127])]),
[final] ).
cnf(c_0_305,negated_conjecture,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2)
| ~ next(e_1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_192]),c_0_127])]),
[final] ).
cnf(c_0_306,negated_conjecture,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_2,e_2)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_257]),
[final] ).
cnf(c_0_307,negated_conjecture,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2)
| ~ next(e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_257]),c_0_143])]),
[final] ).
cnf(c_0_308,negated_conjecture,
( cycle(e_3,e_0)
| cycle(e_3,e_3)
| ~ product(e_2,e_1,X1)
| ~ greater(X1,e_2)
| ~ next(e_3,e_2) ),
inference(spm,[status(thm)],[c_0_268,c_0_241]),
[final] ).
cnf(c_0_309,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ product(e_2,e_1,X2)
| ~ greater(e_2,e_2)
| ~ greater(X1,e_2)
| ~ greater(X2,e_2)
| ~ next(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_259,c_0_241]),
[final] ).
cnf(c_0_310,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ cycle(e_1,e_4)
| ~ greater(X1,e_2)
| ~ next(e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_269]),c_0_143])]),
[final] ).
cnf(c_0_311,negated_conjecture,
( ~ product(e_2,e_1,X1)
| ~ cycle(e_3,e_4)
| ~ greater(X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_249]),c_0_214]),c_0_127])]),
[final] ).
cnf(c_0_312,negated_conjecture,
( cycle(e_2,e_2)
| ~ cycle(e_1,e_4)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_267,c_0_269]),
[final] ).
cnf(c_0_313,negated_conjecture,
( cycle(e_2,e_2)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_2,X2) ),
inference(spm,[status(thm)],[c_0_243,c_0_143]),
[final] ).
cnf(c_0_314,negated_conjecture,
( cycle(e_2,e_2)
| cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_225]),
[final] ).
cnf(c_0_315,negated_conjecture,
( cycle(e_2,e_2)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_225]),
[final] ).
cnf(c_0_316,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ next(e_4,e_1) ),
inference(spm,[status(thm)],[c_0_270,c_0_257]),
[final] ).
cnf(c_0_317,plain,
( 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_50,c_0_70]),
[final] ).
cnf(c_0_318,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_0)
| ~ next(e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_206])]),
[final] ).
cnf(c_0_319,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_0)
| ~ next(e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_206])]),
[final] ).
cnf(c_0_320,plain,
( ~ cycle(e_3,e_4)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_206])]),
[final] ).
cnf(c_0_321,plain,
( ~ cycle(e_3,e_4)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_206])]),
[final] ).
cnf(c_0_322,plain,
( ~ cycle(e_3,e_4)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_206])]),
[final] ).
cnf(c_0_323,negated_conjecture,
( product(X1,e_4,e_1)
| ~ product(e_1,e_3,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_206]),
[final] ).
cnf(c_0_324,negated_conjecture,
( product(X1,e_3,e_2)
| ~ product(e_2,e_4,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_202]),
[final] ).
cnf(c_0_325,negated_conjecture,
( product(X1,e_2,e_1)
| ~ product(e_1,e_4,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_190]),
[final] ).
cnf(c_0_326,plain,
( ~ greater(e_0,e_0)
| ~ next(e_4,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_190])]),
[final] ).
cnf(c_0_327,plain,
( ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_190])]),
[final] ).
cnf(c_0_328,negated_conjecture,
( product(X1,e_1,e_3)
| ~ product(e_3,e_4,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_278]),
[final] ).
cnf(c_0_329,negated_conjecture,
( product(X1,e_3,e_4)
| ~ product(e_4,e_1,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_279]),
[final] ).
cnf(c_0_330,negated_conjecture,
( product(X1,e_4,e_2)
| ~ product(e_2,e_1,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_253]),
[final] ).
cnf(c_0_331,negated_conjecture,
( product(X1,e_2,e_3)
| ~ product(e_3,e_1,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_168])]),
[final] ).
cnf(c_0_332,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_1,e_4)
| ~ next(e_4,e_1) ),
inference(spm,[status(thm)],[c_0_270,c_0_269]),
[final] ).
cnf(c_0_333,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| ~ cycle(e_2,e_4)
| ~ next(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_270,c_0_281]),
[final] ).
cnf(c_0_334,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| ~ next(e_3,e_3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_192]),c_0_283]),
[final] ).
cnf(c_0_335,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_0)
| ~ cycle(X1,e_2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_284,c_0_127]),
[final] ).
cnf(c_0_336,plain,
( cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_1,X2) ),
inference(spm,[status(thm)],[c_0_285,c_0_126]),
[final] ).
cnf(c_0_337,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_286,c_0_257]),
[final] ).
cnf(c_0_338,plain,
( cycle(e_1,e_2)
| cycle(e_1,e_3)
| ~ greater(e_1,e_1) ),
inference(spm,[status(thm)],[c_0_287,c_0_53]),
[final] ).
cnf(c_0_339,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_257]),c_0_53]),c_0_188])]),
[final] ).
cnf(c_0_340,plain,
( ~ cycle(e_1,e_4)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_1,X3)
| ~ greater(X4,X2)
| ~ next(e_1,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_269]),
[final] ).
cnf(c_0_341,plain,
( ~ cycle(e_1,e_4)
| ~ greater(e_0,e_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_269]),c_0_53]),c_0_188])]),
[final] ).
cnf(c_0_342,plain,
( ~ product(X1,e_1,e_1)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_81,c_0_120]),
[final] ).
cnf(c_0_343,plain,
( ~ product(X1,e_1,e_1)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_56,c_0_120]),
[final] ).
cnf(c_0_344,plain,
( ~ cycle(e_2,e_4)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_2,X3)
| ~ greater(X4,X2)
| ~ next(e_2,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_281]),
[final] ).
cnf(c_0_345,plain,
( ~ product(X1,e_1,e_2)
| ~ cycle(X1,X2)
| ~ greater(X2,e_0)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_77,c_0_120]),
[final] ).
cnf(c_0_346,plain,
( ~ product(e_4,e_1,e_3)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_261,c_0_216]),
[final] ).
cnf(c_0_347,plain,
( ~ cycle(e_1,e_4)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_286,c_0_269]),
[final] ).
cnf(c_0_348,plain,
( ~ cycle(e_2,e_4)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_281]),
[final] ).
cnf(c_0_349,plain,
( ~ cycle(e_3,e_4)
| ~ cycle(X1,X2)
| ~ cycle(X3,X4)
| ~ greater(e_3,X3)
| ~ greater(X4,X2)
| ~ next(e_3,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_249]),
[final] ).
cnf(c_0_350,plain,
( ~ cycle(e_3,e_4)
| ~ cycle(X1,X2)
| ~ greater(e_0,X2)
| ~ next(e_4,X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_249]),
[final] ).
cnf(c_0_351,plain,
( ~ cycle(e_0,X1)
| ~ cycle(X2,X3)
| ~ greater(X1,X3)
| ~ next(e_4,X2) ),
inference(spm,[status(thm)],[c_0_219,c_0_288]),
[final] ).
cnf(c_0_352,plain,
( ~ product(e_4,e_1,e_4)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(spm,[status(thm)],[c_0_247,c_0_216]),
[final] ).
cnf(c_0_353,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X2,X3)
| ~ next(X3,e_1)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_180]),c_0_140])]),
[final] ).
cnf(c_0_354,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X2,X3)
| ~ next(X3,e_1)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_180]),c_0_288])]),
[final] ).
cnf(c_0_355,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X2,X3)
| ~ next(X3,e_2)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_180]),c_0_288])]),
[final] ).
cnf(c_0_356,plain,
( ~ cycle(X1,e_4)
| ~ cycle(X2,X3)
| ~ next(X3,e_3)
| ~ next(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_180]),c_0_288])]),
[final] ).
cnf(c_0_357,plain,
( ~ product(e_1,e_1,X1)
| ~ cycle(e_1,e_4)
| ~ greater(X1,e_1) ),
inference(spm,[status(thm)],[c_0_134,c_0_269]),
[final] ).
cnf(c_0_358,plain,
( ~ product(e_2,e_1,X1)
| ~ cycle(e_2,e_4)
| ~ greater(X1,e_2) ),
inference(spm,[status(thm)],[c_0_134,c_0_281]),
[final] ).
cnf(c_0_359,plain,
( ~ product(e_3,e_1,X1)
| ~ cycle(e_3,e_4)
| ~ greater(X1,e_3) ),
inference(spm,[status(thm)],[c_0_134,c_0_249]),
[final] ).
cnf(c_0_360,negated_conjecture,
( product(X1,X2,X2)
| ~ product(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_53]),
[final] ).
cnf(c_0_361,plain,
( ~ product(e_4,e_1,X1)
| ~ greater(X1,e_4) ),
inference(spm,[status(thm)],[c_0_134,c_0_216]),
[final] ).
cnf(c_0_362,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_1) ),
inference(spm,[status(thm)],[c_0_81,c_0_222]),
[final] ).
cnf(c_0_363,plain,
( ~ cycle(X1,e_1)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_82,c_0_222]),
[final] ).
cnf(c_0_364,plain,
( ~ cycle(X1,e_3)
| ~ cycle(X1,e_2) ),
inference(spm,[status(thm)],[c_0_92,c_0_222]),
[final] ).
cnf(c_0_365,negated_conjecture,
~ next(e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_145])]),
[final] ).
cnf(c_0_366,negated_conjecture,
~ next(e_2,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_290]),c_0_145])]),
[final] ).
cnf(c_0_367,negated_conjecture,
~ next(e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_290]),c_0_145])]),
[final] ).
cnf(c_0_368,negated_conjecture,
~ next(e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_290]),c_0_145])]),
[final] ).
cnf(c_0_369,negated_conjecture,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_100,c_0_206]),
[final] ).
cnf(c_0_370,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(spm,[status(thm)],[c_0_146,c_0_206]),
[final] ).
cnf(c_0_371,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_294,c_0_206]),
[final] ).
cnf(c_0_372,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(spm,[status(thm)],[c_0_52,c_0_190]),
[final] ).
cnf(c_0_373,negated_conjecture,
~ product(e_4,e_3,e_3),
inference(spm,[status(thm)],[c_0_295,c_0_278]),
[final] ).
cnf(c_0_374,negated_conjecture,
~ product(e_1,e_4,e_2),
inference(spm,[status(thm)],[c_0_296,c_0_279]),
[final] ).
cnf(c_0_375,plain,
~ product(e_3,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_297]),c_0_53])]),
[final] ).
cnf(c_0_376,plain,
~ product(e_3,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_168])]),
[final] ).
cnf(c_0_377,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(spm,[status(thm)],[c_0_149,c_0_110]),
[final] ).
cnf(c_0_378,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(spm,[status(thm)],[c_0_149,c_0_299]),
[final] ).
cnf(c_0_379,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(spm,[status(thm)],[c_0_106,c_0_145]),
[final] ).
cnf(c_0_380,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_133]),c_0_296]),
[final] ).
cnf(c_0_381,plain,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_294,c_0_53]),
[final] ).
cnf(c_0_382,plain,
~ product(e_4,e_4,e_2),
inference(spm,[status(thm)],[c_0_300,c_0_53]),
[final] ).
cnf(c_0_383,plain,
~ product(e_3,e_1,e_1),
inference(spm,[status(thm)],[c_0_87,c_0_53]),
[final] ).
cnf(c_0_384,plain,
~ product(e_4,e_1,e_1),
inference(spm,[status(thm)],[c_0_78,c_0_53]),
[final] ).
cnf(c_0_385,plain,
~ product(e_2,e_1,e_1),
inference(spm,[status(thm)],[c_0_88,c_0_53]),
[final] ).
cnf(c_0_386,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_295,c_0_53]),
[final] ).
cnf(c_0_387,plain,
~ product(e_1,e_1,e_2),
inference(spm,[status(thm)],[c_0_301,c_0_53]),
[final] ).
cnf(c_0_388,plain,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_296,c_0_53]),
[final] ).
cnf(c_0_389,plain,
product(e_1,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_168])]),
[final] ).
cnf(c_0_390,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP125-3.004 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:05:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.HoCIppbRvF/E---3.1_21359.p
% 0.20/0.55 # Version: 3.1.0
% 0.20/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.55 # Starting sh5l with 300s (1) cores
% 0.20/0.55 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21468 completed with status 1
% 0.20/0.55 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55 # No SInE strategy applied
% 0.20/0.55 # Search class: FGHNF-FFMM00-SFFFFFNN
% 0.20/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.55 # Starting H----_011_C07_F1_PI_AE_OS_S1U with 811s (1) cores
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.55 # Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.20/0.55 # Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.55 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.20/0.55 # G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 21476 completed with status 1
% 0.20/0.55 # Result found by G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 0.20/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.55 # No SInE strategy applied
% 0.20/0.55 # Search class: FGHNF-FFMM00-SFFFFFNN
% 0.20/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.55 # Starting H----_011_C07_F1_PI_AE_OS_S1U with 811s (1) cores
% 0.20/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.55 # Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.20/0.55 # Preprocessing time : 0.001 s
% 0.20/0.55 # Presaturation interreduction done
% 0.20/0.55
% 0.20/0.55 # No proof found!
% 0.20/0.55 # SZS status Satisfiable
% 0.20/0.55 # SZS output start Saturation
% See solution above
% 0.20/0.56 # Parsed axioms : 43
% 0.20/0.56 # Removed by relevancy pruning/SinE : 0
% 0.20/0.56 # Initial clauses : 43
% 0.20/0.56 # Removed in clause preprocessing : 0
% 0.20/0.56 # Initial clauses in saturation : 43
% 0.20/0.56 # Processed clauses : 758
% 0.20/0.56 # ...of these trivial : 1
% 0.20/0.56 # ...subsumed : 252
% 0.20/0.56 # ...remaining for further processing : 505
% 0.20/0.56 # Other redundant clauses eliminated : 0
% 0.20/0.56 # Clauses deleted for lack of memory : 0
% 0.20/0.56 # Backward-subsumed : 171
% 0.20/0.56 # Backward-rewritten : 40
% 0.20/0.56 # Generated clauses : 961
% 0.20/0.56 # ...of the previous two non-redundant : 909
% 0.20/0.56 # ...aggressively subsumed : 0
% 0.20/0.56 # Contextual simplify-reflections : 27
% 0.20/0.56 # Paramodulations : 950
% 0.20/0.56 # Factorizations : 0
% 0.20/0.56 # NegExts : 0
% 0.20/0.56 # Equation resolutions : 0
% 0.20/0.56 # Disequality decompositions : 0
% 0.20/0.56 # Total rewrite steps : 333
% 0.20/0.56 # ...of those cached : 303
% 0.20/0.56 # Propositional unsat checks : 0
% 0.20/0.56 # Propositional check models : 0
% 0.20/0.56 # Propositional check unsatisfiable : 0
% 0.20/0.56 # Propositional clauses : 0
% 0.20/0.56 # Propositional clauses after purity: 0
% 0.20/0.56 # Propositional unsat core size : 0
% 0.20/0.56 # Propositional preprocessing time : 0.000
% 0.20/0.56 # Propositional encoding time : 0.000
% 0.20/0.56 # Propositional solver time : 0.000
% 0.20/0.56 # Success case prop preproc time : 0.000
% 0.20/0.56 # Success case prop encoding time : 0.000
% 0.20/0.56 # Success case prop solver time : 0.000
% 0.20/0.56 # Current number of processed clauses : 240
% 0.20/0.56 # Positive orientable unit clauses : 32
% 0.20/0.56 # Positive unorientable unit clauses: 0
% 0.20/0.56 # Negative unit clauses : 58
% 0.20/0.56 # Non-unit-clauses : 150
% 0.20/0.56 # Current number of unprocessed clauses: 0
% 0.20/0.56 # ...number of literals in the above : 0
% 0.20/0.56 # Current number of archived formulas : 0
% 0.20/0.56 # Current number of archived clauses : 265
% 0.20/0.56 # Clause-clause subsumption calls (NU) : 18061
% 0.20/0.56 # Rec. Clause-clause subsumption calls : 9412
% 0.20/0.56 # Non-unit clause-clause subsumptions : 186
% 0.20/0.56 # Unit Clause-clause subsumption calls : 3870
% 0.20/0.56 # Rewrite failures with RHS unbound : 0
% 0.20/0.56 # BW rewrite match attempts : 54
% 0.20/0.56 # BW rewrite match successes : 10
% 0.20/0.56 # Condensation attempts : 0
% 0.20/0.56 # Condensation successes : 0
% 0.20/0.56 # Termbank termtop insertions : 14085
% 0.20/0.56 # Search garbage collected termcells : 98
% 0.20/0.56
% 0.20/0.56 # -------------------------------------------------
% 0.20/0.56 # User time : 0.044 s
% 0.20/0.56 # System time : 0.005 s
% 0.20/0.56 # Total time : 0.049 s
% 0.20/0.56 # Maximum resident set size: 1684 pages
% 0.20/0.56
% 0.20/0.56 # -------------------------------------------------
% 0.20/0.56 # User time : 0.225 s
% 0.20/0.56 # System time : 0.020 s
% 0.20/0.56 # Total time : 0.244 s
% 0.20/0.56 # Maximum resident set size: 1756 pages
% 0.20/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------