TSTP Solution File: GRP130-2.005 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : GRP130-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 07:49:51 EDT 2024
% Result : Satisfiable 1.94s 0.75s
% Output : Saturation 1.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_46)
% 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_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_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_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_56,axiom,
next(e_1,e_2),
e_1_then_e_2,
[final] ).
cnf(c_0_57,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_49]),
[final] ).
cnf(c_0_58,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_2) ),
inference(spm,[status(thm)],[c_0_47,c_0_50]),
[final] ).
cnf(c_0_59,plain,
~ equalish(e_2,e_1),
c_0_51,
[final] ).
cnf(c_0_60,plain,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
c_0_52,
[final] ).
cnf(c_0_61,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_62,plain,
~ product(e_1,e_1,e_5),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_63,plain,
~ product(e_1,e_1,e_4),
inference(spm,[status(thm)],[c_0_57,c_0_56]),
[final] ).
cnf(c_0_64,plain,
~ product(e_1,e_1,e_3),
inference(spm,[status(thm)],[c_0_58,c_0_56]),
[final] ).
cnf(c_0_67,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]),
[final] ).
cnf(c_0_68,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_61,c_0_54]),c_0_62]),c_0_63]),c_0_64]),
[final] ).
cnf(c_0_69,plain,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
c_0_65,
[final] ).
cnf(c_0_70,axiom,
group_element(e_2),
element_2,
[final] ).
cnf(c_0_71,negated_conjecture,
( product(X4,X2,X1)
| ~ product(X1,X2,X3)
| ~ product(X1,X3,X4) ),
c_0_66,
[final] ).
cnf(c_0_73,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_69]),
[final] ).
cnf(c_0_74,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_70]),
[final] ).
cnf(c_0_79,axiom,
greater(e_5,e_3),
e_5_greater_e_3,
[final] ).
cnf(c_0_80,axiom,
greater(e_4,e_3),
e_4_greater_e_3,
[final] ).
cnf(c_0_81,axiom,
greater(e_5,e_4),
e_5_greater_e_4,
[final] ).
cnf(c_0_83,plain,
~ equalish(e_2,e_5),
c_0_78,
[final] ).
cnf(c_0_85,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_79]),
[final] ).
cnf(c_0_86,axiom,
next(e_2,e_3),
e_2_then_e_3,
[final] ).
cnf(c_0_87,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_3) ),
inference(spm,[status(thm)],[c_0_47,c_0_80]),
[final] ).
cnf(c_0_88,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_4) ),
inference(spm,[status(thm)],[c_0_47,c_0_81]),
[final] ).
cnf(c_0_89,axiom,
next(e_3,e_4),
e_3_then_e_4,
[final] ).
cnf(c_0_91,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_69]),
[final] ).
cnf(c_0_93,plain,
~ product(e_2,e_1,e_5),
inference(spm,[status(thm)],[c_0_85,c_0_86]),
[final] ).
cnf(c_0_94,plain,
~ product(e_2,e_1,e_4),
inference(spm,[status(thm)],[c_0_87,c_0_86]),
[final] ).
cnf(c_0_95,axiom,
group_element(e_3),
element_3,
[final] ).
cnf(c_0_96,plain,
~ product(e_3,e_1,e_5),
inference(spm,[status(thm)],[c_0_88,c_0_89]),
[final] ).
cnf(c_0_99,axiom,
group_element(e_4),
element_4,
[final] ).
cnf(c_0_104,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_99]),
[final] ).
cnf(c_0_105,plain,
~ equalish(e_1,e_4),
c_0_100,
[final] ).
cnf(c_0_110,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_60]),
[final] ).
cnf(c_0_118,plain,
~ equalish(e_3,e_1),
c_0_112,
[final] ).
cnf(c_0_119,plain,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
c_0_113,
[final] ).
cnf(c_0_121,plain,
~ equalish(e_2,e_4),
c_0_114,
[final] ).
cnf(c_0_124,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]),
[final] ).
cnf(c_0_125,plain,
~ equalish(e_3,e_2),
c_0_120,
[final] ).
cnf(c_0_126,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_2,X1,X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_69]),
[final] ).
cnf(c_0_129,plain,
( ~ product(e_2,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_69]),
[final] ).
cnf(c_0_134,axiom,
group_element(e_5),
element_5,
[final] ).
cnf(c_0_135,plain,
~ equalish(e_1,e_5),
c_0_131,
[final] ).
cnf(c_0_139,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_134]),
[final] ).
cnf(c_0_140,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_60]),
[final] ).
cnf(c_0_142,plain,
~ equalish(e_4,e_5),
c_0_136,
[final] ).
cnf(c_0_149,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_4,X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_60]),
[final] ).
cnf(c_0_159,plain,
~ equalish(e_3,e_4),
c_0_153,
[final] ).
cnf(c_0_161,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_95]),
[final] ).
cnf(c_0_162,plain,
( ~ product(X1,e_1,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_60]),
[final] ).
cnf(c_0_165,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_159,c_0_119]),
[final] ).
cnf(c_0_172,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_60]),
[final] ).
cnf(c_0_181,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_60]),
[final] ).
cnf(c_0_184,plain,
( ~ product(X1,e_2,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_60]),
[final] ).
cnf(c_0_187,plain,
~ equalish(e_3,e_5),
c_0_182,
[final] ).
cnf(c_0_190,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_4) ),
inference(spm,[status(thm)],[c_0_142,c_0_119]),
[final] ).
cnf(c_0_191,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_187,c_0_119]),
[final] ).
cnf(c_0_193,plain,
( ~ product(X1,e_5,X2)
| ~ product(X1,e_3,X2) ),
inference(spm,[status(thm)],[c_0_187,c_0_60]),
[final] ).
cnf(c_0_196,negated_conjecture,
~ product(e_2,e_2,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]),
[final] ).
cnf(c_0_197,plain,
( ~ product(X1,X2,e_1)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_59,c_0_119]),
[final] ).
cnf(c_0_203,negated_conjecture,
~ product(e_2,e_5,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_147]),c_0_181]),c_0_201]),
[final] ).
cnf(c_0_208,negated_conjecture,
~ product(e_2,e_3,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_168]),c_0_184]),c_0_205]),
[final] ).
cnf(c_0_216,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_83,c_0_119]),
[final] ).
cnf(c_0_218,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_2) ),
inference(spm,[status(thm)],[c_0_121,c_0_119]),
[final] ).
cnf(c_0_222,negated_conjecture,
product(e_2,e_2,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_156]),c_0_214]),
[final] ).
cnf(c_0_223,negated_conjecture,
~ product(e_2,e_5,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_220]),c_0_221]),
[final] ).
cnf(c_0_228,negated_conjecture,
~ product(e_2,e_3,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_224]),c_0_218]),
[final] ).
cnf(c_0_230,negated_conjecture,
~ product(e_2,e_4,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_225]),c_0_226]),
[final] ).
cnf(c_0_231,plain,
( ~ product(X1,e_4,X2)
| ~ product(X1,e_2,X2) ),
inference(spm,[status(thm)],[c_0_121,c_0_60]),
[final] ).
cnf(c_0_236,negated_conjecture,
~ product(e_2,e_4,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_138]),c_0_231]),c_0_232]),
[final] ).
cnf(c_0_242,negated_conjecture,
~ product(e_2,e_4,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_234]),c_0_172]),
[final] ).
cnf(c_0_251,negated_conjecture,
~ product(e_2,e_4,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),
[final] ).
cnf(c_0_254,plain,
product(e_2,e_4,e_1),
inference(sr,[status(thm)],[c_0_250,c_0_251]),
[final] ).
cnf(c_0_258,negated_conjecture,
( product(e_1,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_254]),
[final] ).
cnf(c_0_263,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_2,X2,e_4)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_258]),
[final] ).
cnf(c_0_264,negated_conjecture,
~ product(e_2,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_224]),c_0_260]),
[final] ).
cnf(c_0_280,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_69]),
[final] ).
cnf(c_0_308,plain,
( ~ product(X1,X2,e_2)
| ~ product(X1,X2,e_3) ),
inference(spm,[status(thm)],[c_0_125,c_0_119]),
[final] ).
cnf(c_0_314,negated_conjecture,
~ product(e_1,e_4,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_307]),c_0_218]),c_0_308]),c_0_309]),
[final] ).
cnf(c_0_317,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_105,c_0_69]),
[final] ).
cnf(c_0_318,negated_conjecture,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3) ),
inference(sr,[status(thm)],[c_0_313,c_0_314]),
[final] ).
cnf(c_0_342,negated_conjecture,
~ product(e_2,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_213]),c_0_218]),
[final] ).
cnf(c_0_343,negated_conjecture,
product(e_2,e_5,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_339]),c_0_254])]),
[final] ).
cnf(c_0_347,negated_conjecture,
~ product(e_2,e_3,e_4),
inference(spm,[status(thm)],[c_0_193,c_0_343]),
[final] ).
cnf(c_0_350,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_142,c_0_69]),
[final] ).
cnf(c_0_355,negated_conjecture,
~ product(e_4,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_126]),
[final] ).
cnf(c_0_361,plain,
( ~ product(e_5,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_187,c_0_69]),
[final] ).
cnf(c_0_362,negated_conjecture,
~ product(e_1,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_343])]),
[final] ).
cnf(c_0_365,plain,
( ~ product(e_4,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_69]),
[final] ).
cnf(c_0_367,negated_conjecture,
~ product(e_3,e_1,e_2),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_351]),c_0_129]),
[final] ).
cnf(c_0_368,plain,
( ~ product(e_1,X1,X2)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_69]),
[final] ).
cnf(c_0_373,negated_conjecture,
product(e_2,e_3,e_5),
inference(sr,[status(thm)],[c_0_224,c_0_347]),
[final] ).
cnf(c_0_382,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_2,X2,e_5)
| ~ product(e_4,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_373])]),
[final] ).
cnf(c_0_386,plain,
( ~ product(X1,X2,e_4)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_105,c_0_119]),
[final] ).
cnf(c_0_387,negated_conjecture,
product(e_4,e_3,e_2),
inference(sr,[status(thm)],[c_0_244,c_0_347]),
[final] ).
cnf(c_0_393,negated_conjecture,
~ product(e_3,e_3,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_386]),
[final] ).
cnf(c_0_394,negated_conjecture,
~ product(e_3,e_3,e_2),
inference(spm,[status(thm)],[c_0_365,c_0_387]),
[final] ).
cnf(c_0_398,plain,
( ~ product(X1,X2,e_5)
| ~ product(X1,X2,e_1) ),
inference(spm,[status(thm)],[c_0_135,c_0_119]),
[final] ).
cnf(c_0_400,negated_conjecture,
~ product(e_3,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_397]),c_0_398]),
[final] ).
cnf(c_0_401,negated_conjecture,
product(e_3,e_5,e_1),
inference(sr,[status(thm)],[c_0_399,c_0_400]),
[final] ).
cnf(c_0_402,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_401]),
[final] ).
cnf(c_0_403,negated_conjecture,
product(e_1,e_2,e_3),
inference(sr,[status(thm)],[c_0_385,c_0_400]),
[final] ).
cnf(c_0_404,negated_conjecture,
~ product(e_3,e_4,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_402]),c_0_403])]),
[final] ).
cnf(c_0_406,negated_conjecture,
~ product(e_3,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_402]),c_0_403])]),
[final] ).
cnf(c_0_409,negated_conjecture,
product(e_3,e_4,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_405]),c_0_406]),c_0_393]),c_0_394]),c_0_407]),
[final] ).
cnf(c_0_411,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_3,X1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_409]),
[final] ).
cnf(c_0_428,negated_conjecture,
product(e_2,e_1,e_3),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_414]),c_0_406]),c_0_393]),c_0_394]),c_0_419]),
[final] ).
cnf(c_0_429,negated_conjecture,
( product(e_5,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_373]),
[final] ).
cnf(c_0_430,negated_conjecture,
product(e_1,e_3,e_4),
inference(sr,[status(thm)],[c_0_420,c_0_400]),
[final] ).
cnf(c_0_432,negated_conjecture,
~ product(e_3,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_422]),c_0_373])]),
[final] ).
cnf(c_0_433,negated_conjecture,
~ product(e_3,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]),c_0_67]),
[final] ).
cnf(c_0_437,negated_conjecture,
~ product(e_2,e_1,e_2),
inference(spm,[status(thm)],[c_0_308,c_0_428]),
[final] ).
cnf(c_0_439,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_1,X1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_430]),
[final] ).
cnf(c_0_441,negated_conjecture,
~ product(e_4,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_435]),c_0_231]),
[final] ).
cnf(c_0_443,negated_conjecture,
product(e_5,e_1,e_2),
inference(sr,[status(thm)],[c_0_351,c_0_437]),
[final] ).
cnf(c_0_444,negated_conjecture,
~ product(e_5,e_2,e_3),
inference(spm,[status(thm)],[c_0_280,c_0_403]),
[final] ).
cnf(c_0_445,negated_conjecture,
~ product(e_5,e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_428])]),
[final] ).
cnf(c_0_448,negated_conjecture,
product(e_3,e_2,e_5),
inference(sr,[status(thm)],[c_0_446,c_0_437]),
[final] ).
cnf(c_0_450,negated_conjecture,
product(e_5,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_447]),c_0_448])]),
[final] ).
cnf(c_0_453,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_5,X1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_450]),
[final] ).
cnf(c_0_456,negated_conjecture,
~ product(e_4,e_5,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_452]),c_0_347]),c_0_317]),
[final] ).
cnf(c_0_457,negated_conjecture,
product(e_4,e_1,e_5),
inference(spm,[status(thm)],[c_0_453,c_0_443]),
[final] ).
cnf(c_0_461,negated_conjecture,
~ product(e_4,e_5,e_5),
inference(spm,[status(thm)],[c_0_140,c_0_457]),
[final] ).
cnf(c_0_473,plain,
product(e_4,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_466]),c_0_343])]),
[final] ).
cnf(c_0_474,negated_conjecture,
product(e_5,e_3,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_467]),c_0_403])]),
[final] ).
cnf(c_0_476,negated_conjecture,
~ product(e_5,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_468,c_0_428])]),
[final] ).
cnf(c_0_485,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_4,X1,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_473]),
[final] ).
cnf(c_0_486,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_474]),
[final] ).
cnf(c_0_499,negated_conjecture,
product(e_3,e_1,e_4),
inference(spm,[status(thm)],[c_0_485,c_0_457]),
[final] ).
cnf(c_0_500,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_5,X2,e_3)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_486]),
[final] ).
cnf(c_0_501,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_401])]),
[final] ).
cnf(c_0_502,negated_conjecture,
product(e_5,e_4,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_487]),c_0_450])]),
[final] ).
cnf(c_0_506,negated_conjecture,
~ product(e_5,e_5,e_4),
inference(spm,[status(thm)],[c_0_362,c_0_491]),
[final] ).
cnf(c_0_507,negated_conjecture,
~ product(e_5,e_5,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_492]),c_0_347]),c_0_280]),
[final] ).
cnf(c_0_510,negated_conjecture,
~ product(e_4,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_494]),c_0_197]),c_0_495]),c_0_496]),
[final] ).
cnf(c_0_517,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_499]),
[final] ).
cnf(c_0_518,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_457]),
[final] ).
cnf(c_0_519,negated_conjecture,
( product(e_5,X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_501]),c_0_502])]),
[final] ).
cnf(c_0_521,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_453,c_0_429]),
[final] ).
cnf(c_0_524,negated_conjecture,
( product(e_4,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_71,c_0_343]),
[final] ).
cnf(c_0_546,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_308,c_0_517]),
[final] ).
cnf(c_0_547,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_165,c_0_518]),
[final] ).
cnf(c_0_548,negated_conjecture,
( product(e_5,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_448]),
[final] ).
cnf(c_0_549,negated_conjecture,
( ~ product(e_5,X1,e_2)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_218,c_0_518]),
[final] ).
cnf(c_0_550,negated_conjecture,
( ~ product(e_4,X1,e_5)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_317,c_0_486]),
[final] ).
cnf(c_0_551,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_216,c_0_486]),
[final] ).
cnf(c_0_552,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_4,X2,e_2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_519]),
[final] ).
cnf(c_0_553,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_439,c_0_402]),
[final] ).
cnf(c_0_554,negated_conjecture,
( ~ product(e_1,X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_401])]),
[final] ).
cnf(c_0_555,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_485,c_0_521]),
[final] ).
cnf(c_0_556,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_2,X2,e_3)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_429]),
[final] ).
cnf(c_0_557,negated_conjecture,
( product(e_3,X1,e_2)
| ~ product(e_2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_428]),
[final] ).
cnf(c_0_558,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_2,X1,e_4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_401])]),
[final] ).
cnf(c_0_559,negated_conjecture,
( product(e_3,X1,e_5)
| ~ product(e_5,X1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_502]),
[final] ).
cnf(c_0_560,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_5,X1,e_3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_486]),c_0_343])]),
[final] ).
cnf(c_0_565,axiom,
greater(e_2,e_1),
e_2_greater_e_1,
[final] ).
cnf(c_0_566,axiom,
greater(e_3,e_1),
e_3_greater_e_1,
[final] ).
cnf(c_0_567,axiom,
greater(e_4,e_1),
e_4_greater_e_1,
[final] ).
cnf(c_0_568,axiom,
greater(e_5,e_1),
e_5_greater_e_1,
[final] ).
cnf(c_0_570,negated_conjecture,
~ product(e_2,e_5,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_353]),c_0_129]),
[final] ).
cnf(c_0_582,negated_conjecture,
~ product(e_3,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_494]),c_0_533]),c_0_197]),c_0_534]),
[final] ).
cnf(c_0_602,negated_conjecture,
~ product(e_5,e_5,e_3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_486]),c_0_502])]),
[final] ).
cnf(c_0_604,negated_conjecture,
~ product(e_3,e_5,e_4),
inference(spm,[status(thm)],[c_0_362,c_0_540]),
[final] ).
cnf(c_0_605,negated_conjecture,
~ product(e_3,e_5,e_2),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_541]),c_0_347]),c_0_368]),
[final] ).
cnf(c_0_606,negated_conjecture,
~ product(e_3,e_5,e_5),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_397]),c_0_193]),
[final] ).
cnf(c_0_608,negated_conjecture,
~ product(e_4,e_4,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_543,c_0_401])]),
[final] ).
cnf(c_0_609,negated_conjecture,
~ product(e_4,e_4,e_3),
inference(spm,[status(thm)],[c_0_350,c_0_502]),
[final] ).
cnf(c_0_610,negated_conjecture,
~ product(e_4,e_4,e_5),
inference(spm,[status(thm)],[c_0_110,c_0_457]),
[final] ).
cnf(c_0_612,negated_conjecture,
( ~ product(e_3,X1,e_1)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_546,c_0_524]),
[final] ).
cnf(c_0_613,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_547,c_0_548]),
[final] ).
cnf(c_0_614,negated_conjecture,
( ~ product(e_4,X1,e_1)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_549,c_0_429]),
[final] ).
cnf(c_0_615,negated_conjecture,
( ~ product(e_4,X1,e_5)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_550,c_0_548]),
[final] ).
cnf(c_0_616,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_551,c_0_258]),
[final] ).
cnf(c_0_617,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_91,c_0_519]),
[final] ).
cnf(c_0_618,negated_conjecture,
( ~ product(e_5,X1,e_5)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_398,c_0_519]),
[final] ).
cnf(c_0_619,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_4,X1,e_2) ),
inference(spm,[status(thm)],[c_0_124,c_0_519]),
[final] ).
cnf(c_0_620,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_3,X1,e_1) ),
inference(spm,[status(thm)],[c_0_126,c_0_517]),
[final] ).
cnf(c_0_621,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_361,c_0_518]),
[final] ).
cnf(c_0_622,negated_conjecture,
( ~ product(e_2,X1,e_4)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_91,c_0_518]),
[final] ).
cnf(c_0_623,negated_conjecture,
( ~ product(e_4,X1,e_4)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_190,c_0_521]),
[final] ).
cnf(c_0_624,negated_conjecture,
( ~ product(e_2,X1,e_5)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_73,c_0_486]),
[final] ).
cnf(c_0_625,negated_conjecture,
( ~ product(e_1,X1,e_4)
| ~ product(e_5,X1,e_3) ),
inference(spm,[status(thm)],[c_0_190,c_0_486]),
[final] ).
cnf(c_0_626,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_350,c_0_548]),
[final] ).
cnf(c_0_627,negated_conjecture,
( product(e_1,X1,e_5)
| ~ product(e_2,X2,e_5)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_552,c_0_524]),
[final] ).
cnf(c_0_628,negated_conjecture,
( ~ product(e_2,X1,e_1)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_126,c_0_553]),
[final] ).
cnf(c_0_629,negated_conjecture,
( ~ product(e_4,X1,e_4)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_386,c_0_553]),
[final] ).
cnf(c_0_630,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_554,c_0_402]),
[final] ).
cnf(c_0_631,negated_conjecture,
( ~ product(e_4,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_317,c_0_402]),
[final] ).
cnf(c_0_632,negated_conjecture,
( ~ product(e_5,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_280,c_0_402]),
[final] ).
cnf(c_0_633,negated_conjecture,
( ~ product(e_2,X1,e_3)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_73,c_0_402]),
[final] ).
cnf(c_0_634,negated_conjecture,
( ~ product(e_1,X1,e_2)
| ~ product(e_3,X1,e_5) ),
inference(spm,[status(thm)],[c_0_308,c_0_402]),
[final] ).
cnf(c_0_635,negated_conjecture,
( product(e_3,X1,e_4)
| ~ product(e_3,X2,e_1)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_517]),
[final] ).
cnf(c_0_636,negated_conjecture,
( product(e_4,X1,e_3)
| ~ product(e_2,X2,e_3)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_555]),
[final] ).
cnf(c_0_637,negated_conjecture,
( product(e_4,X1,e_5)
| ~ product(e_4,X2,e_1)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_518]),
[final] ).
cnf(c_0_638,negated_conjecture,
( product(e_5,X1,e_4)
| ~ product(e_2,X2,e_3)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_521]),
[final] ).
cnf(c_0_639,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_519]),c_0_428])]),
[final] ).
cnf(c_0_640,negated_conjecture,
( product(e_3,X1,e_5)
| ~ product(e_3,X2,e_2)
| ~ product(e_5,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_548]),
[final] ).
cnf(c_0_641,negated_conjecture,
( product(e_2,X1,e_3)
| ~ product(e_2,X2,e_1)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_557]),
[final] ).
cnf(c_0_642,negated_conjecture,
( product(e_1,X1,e_4)
| ~ product(e_3,X2,e_5)
| ~ product(e_4,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_553]),
[final] ).
cnf(c_0_643,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_3,X2,e_5)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_402]),
[final] ).
cnf(c_0_644,negated_conjecture,
( product(e_1,X1,e_3)
| ~ product(e_2,X2,e_4)
| ~ product(e_3,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_558]),
[final] ).
cnf(c_0_645,negated_conjecture,
( product(e_4,X1,e_1)
| ~ product(e_4,X2,e_2)
| ~ product(e_1,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_501]),
[final] ).
cnf(c_0_646,negated_conjecture,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_5,X1,e_1)
| ~ product(e_1,X1,e_4) ),
inference(spm,[status(thm)],[c_0_71,c_0_318]),
[final] ).
cnf(c_0_647,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_3,X1,e_1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_517]),c_0_373])]),
[final] ).
cnf(c_0_648,negated_conjecture,
( product(e_3,X1,e_5)
| ~ product(e_4,X1,e_1) ),
inference(spm,[status(thm)],[c_0_559,c_0_518]),
[final] ).
cnf(c_0_649,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_3,X1,e_2) ),
inference(spm,[status(thm)],[c_0_560,c_0_548]),
[final] ).
cnf(c_0_650,negated_conjecture,
( product(e_2,X1,e_5)
| ~ product(e_5,X1,e_1) ),
inference(spm,[status(thm)],[c_0_71,c_0_443]),
[final] ).
cnf(c_0_651,negated_conjecture,
( ~ product(e_3,X1,e_5)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_398,c_0_558]),
[final] ).
cnf(c_0_652,negated_conjecture,
( ~ product(e_3,X1,e_3)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_124,c_0_558]),
[final] ).
cnf(c_0_653,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_523,c_0_401])]),
[final] ).
cnf(c_0_654,negated_conjecture,
( ~ product(e_5,X1,e_4)
| ~ product(e_4,X1,e_2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_561,c_0_401])]),
[final] ).
cnf(c_0_655,negated_conjecture,
( ~ product(e_3,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_562,c_0_401])]),
[final] ).
cnf(c_0_656,negated_conjecture,
( product(e_2,X1,e_1)
| ~ product(e_1,X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_563,c_0_401])]),
[final] ).
cnf(c_0_657,negated_conjecture,
( product(e_3,X1,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_71,c_0_403]),
[final] ).
cnf(c_0_658,negated_conjecture,
( product(e_3,e_3,e_1)
| product(e_1,X1,e_4)
| ~ product(e_2,X1,e_5) ),
inference(spm,[status(thm)],[c_0_415,c_0_524]),
[final] ).
cnf(c_0_659,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_350,c_0_429]),
[final] ).
cnf(c_0_660,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_3) ),
inference(spm,[status(thm)],[c_0_361,c_0_429]),
[final] ).
cnf(c_0_661,negated_conjecture,
( product(e_2,X1,e_4)
| ~ product(e_4,X1,e_3) ),
inference(spm,[status(thm)],[c_0_71,c_0_387]),
[final] ).
cnf(c_0_662,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_564,c_0_373])]),
[final] ).
cnf(c_0_663,negated_conjecture,
( ~ product(e_4,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_317,c_0_258]),
[final] ).
cnf(c_0_664,negated_conjecture,
( ~ product(e_5,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_280,c_0_258]),
[final] ).
cnf(c_0_665,negated_conjecture,
( ~ product(e_3,X1,e_2)
| ~ product(e_2,X1,e_4) ),
inference(spm,[status(thm)],[c_0_368,c_0_258]),
[final] ).
cnf(c_0_666,plain,
( ~ product(X1,e_1,e_2)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_565]),
[final] ).
cnf(c_0_667,plain,
( ~ product(X1,e_1,e_3)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_566]),
[final] ).
cnf(c_0_668,plain,
( ~ product(X1,e_1,e_4)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_567]),
[final] ).
cnf(c_0_669,plain,
( ~ product(X1,e_1,e_5)
| ~ next(X1,e_1) ),
inference(spm,[status(thm)],[c_0_47,c_0_568]),
[final] ).
cnf(c_0_670,negated_conjecture,
~ product(e_1,e_3,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_486]),c_0_502])]),
[final] ).
cnf(c_0_671,negated_conjecture,
~ product(e_1,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_486]),c_0_502])]),
[final] ).
cnf(c_0_672,negated_conjecture,
~ product(e_3,e_1,e_3),
inference(spm,[status(thm)],[c_0_165,c_0_499]),
[final] ).
cnf(c_0_673,plain,
~ product(e_4,e_3,e_3),
inference(spm,[status(thm)],[c_0_193,c_0_473]),
[final] ).
cnf(c_0_674,negated_conjecture,
~ product(e_4,e_5,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_518]),c_0_450])]),
[final] ).
cnf(c_0_675,negated_conjecture,
~ product(e_5,e_2,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_569]),c_0_570]),
[final] ).
cnf(c_0_676,negated_conjecture,
~ product(e_5,e_4,e_5),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_571]),c_0_570]),
[final] ).
cnf(c_0_677,negated_conjecture,
~ product(e_3,e_4,e_3),
inference(spm,[status(thm)],[c_0_361,c_0_502]),
[final] ).
cnf(c_0_678,negated_conjecture,
~ product(e_4,e_3,e_5),
inference(spm,[status(thm)],[c_0_162,c_0_457]),
[final] ).
cnf(c_0_679,negated_conjecture,
~ product(e_4,e_1,e_4),
inference(spm,[status(thm)],[c_0_190,c_0_457]),
[final] ).
cnf(c_0_680,negated_conjecture,
~ product(e_4,e_1,e_3),
inference(spm,[status(thm)],[c_0_191,c_0_457]),
[final] ).
cnf(c_0_681,negated_conjecture,
~ product(e_5,e_1,e_3),
inference(spm,[status(thm)],[c_0_62,c_0_486]),
[final] ).
cnf(c_0_682,negated_conjecture,
~ product(e_5,e_2,e_1),
inference(spm,[status(thm)],[c_0_184,c_0_474]),
[final] ).
cnf(c_0_683,negated_conjecture,
~ product(e_5,e_3,e_5),
inference(spm,[status(thm)],[c_0_398,c_0_474]),
[final] ).
cnf(c_0_684,negated_conjecture,
~ product(e_5,e_3,e_3),
inference(spm,[status(thm)],[c_0_124,c_0_474]),
[final] ).
cnf(c_0_685,negated_conjecture,
~ product(e_5,e_3,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_572,c_0_428])]),
[final] ).
cnf(c_0_686,negated_conjecture,
~ product(e_3,e_4,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_573,c_0_428])]),
[final] ).
cnf(c_0_687,negated_conjecture,
~ product(e_3,e_2,e_2),
inference(spm,[status(thm)],[c_0_231,c_0_409]),
[final] ).
cnf(c_0_688,negated_conjecture,
~ product(e_1,e_3,e_3),
inference(spm,[status(thm)],[c_0_165,c_0_430]),
[final] ).
cnf(c_0_689,negated_conjecture,
~ product(e_1,e_2,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_477,c_0_401])]),
[final] ).
cnf(c_0_690,negated_conjecture,
~ product(e_4,e_2,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_574,c_0_401])]),
[final] ).
cnf(c_0_691,negated_conjecture,
~ product(e_4,e_2,e_3),
inference(spm,[status(thm)],[c_0_317,c_0_403]),
[final] ).
cnf(c_0_692,negated_conjecture,
~ product(e_5,e_3,e_4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_575,c_0_403])]),
[final] ).
cnf(c_0_693,negated_conjecture,
~ product(e_3,e_5,e_3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_392]),c_0_124]),
[final] ).
cnf(c_0_694,negated_conjecture,
~ product(e_4,e_3,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_435]),c_0_184]),
[final] ).
cnf(c_0_695,negated_conjecture,
~ product(e_2,e_2,e_3),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_529]),c_0_576]),c_0_577]),
[final] ).
cnf(c_0_696,negated_conjecture,
~ product(e_4,e_2,e_4),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_578]),c_0_530]),
[final] ).
cnf(c_0_697,negated_conjecture,
~ product(e_4,e_3,e_4),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_579,c_0_580]),c_0_355]),c_0_506]),c_0_71]),c_0_162]),
[final] ).
cnf(c_0_698,negated_conjecture,
~ product(e_1,e_5,e_1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_239]),c_0_582]),c_0_317]),
[final] ).
cnf(c_0_699,negated_conjecture,
~ product(e_3,e_4,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_399]),c_0_172]),
[final] ).
cnf(c_0_700,negated_conjecture,
~ product(e_3,e_2,e_1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_399]),c_0_184]),
[final] ).
cnf(c_0_701,negated_conjecture,
~ product(e_2,e_5,e_5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_524]),c_0_387])]),
[final] ).
cnf(c_0_702,negated_conjecture,
~ product(e_4,e_2,e_2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_583,c_0_373])]),
[final] ).
cnf(c_0_703,negated_conjecture,
~ product(e_1,e_4,e_1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_343])]),
[final] ).
cnf(c_0_704,negated_conjecture,
~ product(e_1,e_3,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_281]),c_0_124]),c_0_197]),
[final] ).
cnf(c_0_705,negated_conjecture,
~ product(e_5,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_484]),c_0_582]),
[final] ).
cnf(c_0_706,negated_conjecture,
~ product(e_1,e_2,e_2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_272]),c_0_308]),c_0_587]),
[final] ).
cnf(c_0_707,negated_conjecture,
~ product(e_2,e_1,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_346]),c_0_197]),c_0_589]),
[final] ).
cnf(c_0_708,negated_conjecture,
~ product(e_2,e_3,e_1),
inference(spm,[status(thm)],[c_0_251,c_0_590]),
[final] ).
cnf(c_0_709,negated_conjecture,
~ product(e_1,e_2,e_1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_72]),c_0_591]),c_0_197]),c_0_124]),c_0_386]),
[final] ).
cnf(c_0_710,plain,
~ equalish(e_5,e_4),
c_0_592,
[final] ).
cnf(c_0_711,plain,
~ equalish(e_5,e_3),
c_0_593,
[final] ).
cnf(c_0_712,plain,
~ equalish(e_5,e_2),
c_0_594,
[final] ).
cnf(c_0_713,plain,
~ equalish(e_5,e_1),
c_0_595,
[final] ).
cnf(c_0_714,plain,
~ equalish(e_4,e_3),
c_0_596,
[final] ).
cnf(c_0_715,plain,
~ equalish(e_4,e_2),
c_0_597,
[final] ).
cnf(c_0_716,plain,
~ equalish(e_4,e_1),
c_0_598,
[final] ).
cnf(c_0_717,plain,
~ equalish(e_2,e_3),
c_0_599,
[final] ).
cnf(c_0_718,plain,
~ equalish(e_1,e_3),
c_0_600,
[final] ).
cnf(c_0_719,plain,
~ equalish(e_1,e_2),
c_0_601,
[final] ).
cnf(c_0_720,plain,
product(e_5,e_5,e_5),
inference(sr,[status(thm)],[c_0_526,c_0_602]),
[final] ).
cnf(c_0_721,plain,
product(e_3,e_3,e_3),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_603,c_0_604]),c_0_406]),c_0_393]),c_0_394]),c_0_605]),c_0_606]),
[final] ).
cnf(c_0_722,plain,
product(e_4,e_4,e_4),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_607,c_0_608]),c_0_609]),c_0_610]),
[final] ).
cnf(c_0_723,negated_conjecture,
product(e_1,e_5,e_2),
inference(sr,[status(thm)],[c_0_611,c_0_400]),
[final] ).
cnf(c_0_724,negated_conjecture,
product(e_4,e_2,e_1),
inference(sr,[status(thm)],[c_0_412,c_0_400]),
[final] ).
cnf(c_0_725,axiom,
next(e_4,e_5),
e_4_then_e_5,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP130-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.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 16:24:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.1R5BtgCtcv/E---3.1_5004.p
% 1.94/0.75 # Version: 3.1.0
% 1.94/0.75 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.94/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.94/0.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.94/0.75 # Starting new_bool_3 with 300s (1) cores
% 1.94/0.75 # Starting new_bool_1 with 300s (1) cores
% 1.94/0.75 # Starting sh5l with 300s (1) cores
% 1.94/0.75 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5082 completed with status 1
% 1.94/0.75 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.94/0.75 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.94/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.94/0.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.94/0.75 # No SInE strategy applied
% 1.94/0.75 # Search class: FGHNF-FFSM00-SFFFFFNN
% 1.94/0.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.94/0.75 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 811s (1) cores
% 1.94/0.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.94/0.75 # Starting new_bool_3 with 136s (1) cores
% 1.94/0.75 # Starting new_bool_1 with 136s (1) cores
% 1.94/0.75 # Starting sh5l with 136s (1) cores
% 1.94/0.75 # G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with pid 5087 completed with status 1
% 1.94/0.75 # Result found by G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI
% 1.94/0.75 # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.94/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.94/0.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.94/0.75 # No SInE strategy applied
% 1.94/0.75 # Search class: FGHNF-FFSM00-SFFFFFNN
% 1.94/0.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.94/0.75 # Starting G----_406_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 811s (1) cores
% 1.94/0.75 # Preprocessing time : 0.001 s
% 1.94/0.75 # Presaturation interreduction done
% 1.94/0.75
% 1.94/0.75 # No proof found!
% 1.94/0.75 # SZS status Satisfiable
% 1.94/0.75 # SZS output start Saturation
% See solution above
% 1.94/0.75 # Parsed axioms : 45
% 1.94/0.75 # Removed by relevancy pruning/SinE : 0
% 1.94/0.75 # Initial clauses : 45
% 1.94/0.75 # Removed in clause preprocessing : 0
% 1.94/0.75 # Initial clauses in saturation : 45
% 1.94/0.75 # Processed clauses : 3784
% 1.94/0.75 # ...of these trivial : 71
% 1.94/0.75 # ...subsumed : 1726
% 1.94/0.75 # ...remaining for further processing : 1987
% 1.94/0.75 # Other redundant clauses eliminated : 0
% 1.94/0.75 # Clauses deleted for lack of memory : 0
% 1.94/0.75 # Backward-subsumed : 1282
% 1.94/0.75 # Backward-rewritten : 252
% 1.94/0.75 # Generated clauses : 7267
% 1.94/0.75 # ...of the previous two non-redundant : 6609
% 1.94/0.75 # ...aggressively subsumed : 0
% 1.94/0.75 # Contextual simplify-reflections : 489
% 1.94/0.75 # Paramodulations : 7148
% 1.94/0.75 # Factorizations : 0
% 1.94/0.75 # NegExts : 0
% 1.94/0.75 # Equation resolutions : 0
% 1.94/0.75 # Disequality decompositions : 0
% 1.94/0.75 # Total rewrite steps : 536
% 1.94/0.75 # ...of those cached : 513
% 1.94/0.75 # Propositional unsat checks : 0
% 1.94/0.75 # Propositional check models : 0
% 1.94/0.75 # Propositional check unsatisfiable : 0
% 1.94/0.75 # Propositional clauses : 0
% 1.94/0.75 # Propositional clauses after purity: 0
% 1.94/0.75 # Propositional unsat core size : 0
% 1.94/0.75 # Propositional preprocessing time : 0.000
% 1.94/0.75 # Propositional encoding time : 0.000
% 1.94/0.75 # Propositional solver time : 0.000
% 1.94/0.75 # Success case prop preproc time : 0.000
% 1.94/0.75 # Success case prop encoding time : 0.000
% 1.94/0.75 # Success case prop solver time : 0.000
% 1.94/0.75 # Current number of processed clauses : 289
% 1.94/0.75 # Positive orientable unit clauses : 42
% 1.94/0.75 # Positive unorientable unit clauses: 0
% 1.94/0.75 # Negative unit clauses : 108
% 1.94/0.75 # Non-unit-clauses : 139
% 1.94/0.75 # Current number of unprocessed clauses: 0
% 1.94/0.75 # ...number of literals in the above : 0
% 1.94/0.75 # Current number of archived formulas : 0
% 1.94/0.75 # Current number of archived clauses : 1698
% 1.94/0.75 # Clause-clause subsumption calls (NU) : 182805
% 1.94/0.75 # Rec. Clause-clause subsumption calls : 64289
% 1.94/0.75 # Non-unit clause-clause subsumptions : 2022
% 1.94/0.75 # Unit Clause-clause subsumption calls : 4522
% 1.94/0.75 # Rewrite failures with RHS unbound : 0
% 1.94/0.75 # BW rewrite match attempts : 110
% 1.94/0.75 # BW rewrite match successes : 22
% 1.94/0.75 # Condensation attempts : 0
% 1.94/0.75 # Condensation successes : 0
% 1.94/0.75 # Termbank termtop insertions : 88633
% 1.94/0.75 # Search garbage collected termcells : 72
% 1.94/0.75
% 1.94/0.75 # -------------------------------------------------
% 1.94/0.75 # User time : 0.255 s
% 1.94/0.75 # System time : 0.006 s
% 1.94/0.75 # Total time : 0.261 s
% 1.94/0.75 # Maximum resident set size: 1792 pages
% 1.94/0.75
% 1.94/0.75 # -------------------------------------------------
% 1.94/0.75 # User time : 1.265 s
% 1.94/0.75 # System time : 0.017 s
% 1.94/0.75 # Total time : 1.282 s
% 1.94/0.75 # Maximum resident set size: 1756 pages
% 1.94/0.75 % E---3.1 exiting
% 1.94/0.75 % E exiting
%------------------------------------------------------------------------------