TSTP Solution File: ALG084+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG084+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 : 600s
% DateTime : Thu Jul 14 14:51:38 EDT 2022
% Result : Theorem 4.80s 2.40s
% Output : CNFRefutation 4.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of clauses : 105 ( 76 unt; 29 nHn; 105 RR)
% Number of literals : 212 ( 203 equ; 28 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_149,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_149) ).
cnf(i_0_64,plain,
op1(e11,e11) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_64) ).
cnf(i_0_165,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_165) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_156) ).
cnf(i_0_162,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_162) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_95) ).
cnf(i_0_96,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_96) ).
cnf(i_0_17,plain,
e24 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_17) ).
cnf(i_0_18,plain,
e23 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_18) ).
cnf(i_0_166,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_166) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_19) ).
cnf(i_0_155,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_155) ).
cnf(i_0_70,plain,
op1(e10,e10) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_70) ).
cnf(i_0_100,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_100) ).
cnf(i_0_20,plain,
e21 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_20) ).
cnf(i_0_71,plain,
op2(e24,e24) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_71) ).
cnf(i_0_14,plain,
e24 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_14) ).
cnf(i_0_99,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_99) ).
cnf(i_0_77,plain,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_77) ).
cnf(i_0_15,plain,
e23 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_15) ).
cnf(i_0_83,plain,
op2(e22,e22) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_83) ).
cnf(i_0_16,plain,
e22 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_16) ).
cnf(i_0_89,plain,
op2(e21,e21) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_89) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_7) ).
cnf(i_0_106,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_106) ).
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_124) ).
cnf(i_0_118,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_118) ).
cnf(i_0_46,plain,
op1(e14,e14) = e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_46) ).
cnf(i_0_58,plain,
op1(e12,e12) = e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_58) ).
cnf(i_0_5,plain,
e13 != e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_5) ).
cnf(i_0_1,plain,
e14 != e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_1) ).
cnf(i_0_104,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_104) ).
cnf(i_0_131,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_131) ).
cnf(i_0_98,negated_conjecture,
j(h(e12)) = e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_98) ).
cnf(i_0_6,plain,
e12 != e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-72g8t7e7/lgb.p',i_0_6) ).
cnf(c_0_202,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
i_0_149 ).
cnf(c_0_203,plain,
op1(e11,e11) = e14,
i_0_64 ).
cnf(c_0_204,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| ~ epred1_0 ),
i_0_165 ).
cnf(c_0_205,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_206,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
i_0_162 ).
cnf(c_0_207,negated_conjecture,
op2(h(e11),h(e11)) = h(e14),
inference(rw,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_208,plain,
( h(e11) = e20
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205])]) ).
cnf(c_0_209,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_210,negated_conjecture,
j(h(e14)) = e14,
i_0_96 ).
cnf(c_0_211,plain,
( h(e14) = e20
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_205])]) ).
cnf(c_0_212,negated_conjecture,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e14) = e20 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).
cnf(c_0_213,negated_conjecture,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| j(e20) = e14 ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
cnf(c_0_214,plain,
e24 != e20,
i_0_17 ).
cnf(c_0_215,negated_conjecture,
( j(e20) = e14
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214]) ).
cnf(c_0_216,plain,
e23 != e20,
i_0_18 ).
cnf(c_0_217,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| ~ epred1_0 ),
i_0_166 ).
cnf(c_0_218,negated_conjecture,
( h(e14) = e22
| h(e14) = e21
| j(e20) = e14
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_215]),c_0_216]) ).
cnf(c_0_219,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_220,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
i_0_155 ).
cnf(c_0_221,plain,
op1(e10,e10) = e10,
i_0_70 ).
cnf(c_0_222,negated_conjecture,
j(h(e10)) = e10,
i_0_100 ).
cnf(c_0_223,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_205])]) ).
cnf(c_0_224,negated_conjecture,
( j(e20) = e14
| h(e14) = e21
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_218]),c_0_219]) ).
cnf(c_0_225,plain,
e21 != e20,
i_0_20 ).
cnf(c_0_226,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_227,negated_conjecture,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_228,plain,
op2(e24,e24) = e21,
i_0_71 ).
cnf(c_0_229,plain,
e24 != e21,
i_0_14 ).
cnf(c_0_230,negated_conjecture,
j(h(e11)) = e11,
i_0_99 ).
cnf(c_0_231,negated_conjecture,
( j(e20) = e14
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_224]),c_0_225]) ).
cnf(c_0_232,negated_conjecture,
( j(e20) = e10
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_229]) ).
cnf(c_0_233,plain,
op2(e23,e23) = e21,
i_0_77 ).
cnf(c_0_234,plain,
e23 != e21,
i_0_15 ).
cnf(c_0_235,negated_conjecture,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| j(e20) = e14
| j(e24) = e11 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_236,negated_conjecture,
( h(e10) = e22
| h(e10) = e21
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_232]),c_0_233]),c_0_234]) ).
cnf(c_0_237,plain,
op2(e22,e22) = e21,
i_0_83 ).
cnf(c_0_238,plain,
e22 != e21,
i_0_16 ).
cnf(c_0_239,negated_conjecture,
( j(e24) = e11
| j(e20) = e14
| h(e11) = e21
| h(e11) = e22
| h(e14) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_235]),c_0_233]) ).
cnf(c_0_240,negated_conjecture,
( j(e20) = e10
| h(e10) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_236]),c_0_237]),c_0_238]) ).
cnf(c_0_241,plain,
op2(e21,e21) = e22,
i_0_89 ).
cnf(c_0_242,negated_conjecture,
( h(e11) = e22
| h(e11) = e21
| j(e20) = e14
| j(e24) = e11
| j(e21) = e14 ),
inference(spm,[status(thm)],[c_0_210,c_0_239]) ).
cnf(c_0_243,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_240]),c_0_241]),c_0_238]) ).
cnf(c_0_244,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_245,negated_conjecture,
( j(e21) = e14
| j(e24) = e11
| h(e11) = e21
| h(e11) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).
cnf(c_0_246,negated_conjecture,
( h(e11) = e21
| j(e24) = e11
| j(e21) = e14
| h(e14) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_245]),c_0_237]) ).
cnf(c_0_247,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
i_0_106 ).
cnf(c_0_248,negated_conjecture,
( j(e24) = e11
| h(e11) = e21
| j(e21) = e14 ),
inference(spm,[status(thm)],[c_0_210,c_0_246]) ).
cnf(c_0_249,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_250,negated_conjecture,
op1(j(e24),j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_247,c_0_228]) ).
cnf(c_0_251,negated_conjecture,
( j(e21) = e14
| j(e24) = e11
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_230,c_0_248]) ).
cnf(c_0_252,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
i_0_118 ).
cnf(c_0_253,negated_conjecture,
op1(j(e21),j(e21)) = j(e22),
inference(rw,[status(thm)],[c_0_249,c_0_241]) ).
cnf(c_0_254,negated_conjecture,
( j(e21) = e11
| j(e21) = e14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_203])]) ).
cnf(c_0_255,plain,
op1(e14,e14) = e12,
i_0_46 ).
cnf(c_0_256,negated_conjecture,
op1(j(e22),j(e22)) = j(e21),
inference(rw,[status(thm)],[c_0_252,c_0_237]) ).
cnf(c_0_257,negated_conjecture,
( j(e21) = e11
| j(e22) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]) ).
cnf(c_0_258,plain,
op1(e12,e12) = e13,
i_0_58 ).
cnf(c_0_259,negated_conjecture,
( j(e21) = e11
| j(e21) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]) ).
cnf(c_0_260,plain,
e13 != e11,
i_0_5 ).
cnf(c_0_261,plain,
e14 != e13,
i_0_1 ).
cnf(c_0_262,negated_conjecture,
h(j(e21)) = e21,
i_0_104 ).
cnf(c_0_263,negated_conjecture,
j(e21) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_259]),c_0_260]),c_0_261]) ).
cnf(c_0_264,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
i_0_131 ).
cnf(c_0_265,negated_conjecture,
h(e11) = e21,
inference(rw,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_266,negated_conjecture,
op2(h(e14),h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_264,c_0_255]) ).
cnf(c_0_267,negated_conjecture,
h(e14) = e22,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_265]),c_0_265]),c_0_241]) ).
cnf(c_0_268,negated_conjecture,
j(h(e12)) = e12,
i_0_98 ).
cnf(c_0_269,negated_conjecture,
h(e12) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_267]),c_0_267]),c_0_237]) ).
cnf(c_0_270,plain,
e12 != e11,
i_0_6 ).
cnf(c_0_271,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_269]),c_0_263]),c_0_270]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG084+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 04:53:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 4.80/2.40 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.80/2.40 # No SInE strategy applied
% 4.80/2.40 # Trying AutoSched0 for 150 seconds
% 4.80/2.40 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S053A
% 4.80/2.40 # and selection function HSelectMinInfpos.
% 4.80/2.40 #
% 4.80/2.40 # Preprocessing time : 0.014 s
% 4.80/2.40 # Presaturation interreduction done
% 4.80/2.40
% 4.80/2.40 # Proof found!
% 4.80/2.40 # SZS status Theorem
% 4.80/2.40 # SZS output start CNFRefutation
% See solution above
% 4.80/2.40 # Training examples: 0 positive, 0 negative
% 4.80/2.40
% 4.80/2.40 # -------------------------------------------------
% 4.80/2.40 # User time : 0.027 s
% 4.80/2.40 # System time : 0.003 s
% 4.80/2.40 # Total time : 0.030 s
% 4.80/2.40 # Maximum resident set size: 7124 pages
% 4.80/2.40
%------------------------------------------------------------------------------