TSTP Solution File: ALG078+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 14:51:37 EDT 2022
% Result : Theorem 4.46s 2.23s
% Output : CNFRefutation 4.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 29
% Syntax : Number of clauses : 88 ( 65 unt; 23 nHn; 88 RR)
% Number of literals : 169 ( 162 equ; 20 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 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-hyz55264/lgb.p',i_0_149) ).
cnf(i_0_64,plain,
op1(e11,e11) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/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-hyz55264/lgb.p',i_0_165) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/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-hyz55264/lgb.p',i_0_162) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_95) ).
cnf(i_0_96,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_96) ).
cnf(i_0_17,plain,
e24 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_17) ).
cnf(i_0_18,plain,
e23 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_18) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_19) ).
cnf(i_0_20,plain,
e21 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_20) ).
cnf(i_0_71,plain,
op2(e24,e24) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_71) ).
cnf(i_0_131,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_131) ).
cnf(i_0_46,plain,
op1(e14,e14) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_46) ).
cnf(i_0_77,plain,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_77) ).
cnf(i_0_155,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_155) ).
cnf(i_0_70,plain,
op1(e10,e10) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_70) ).
cnf(i_0_89,plain,
op2(e21,e21) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_89) ).
cnf(i_0_83,plain,
op2(e22,e22) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_83) ).
cnf(i_0_13,plain,
e23 != e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_13) ).
cnf(i_0_99,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_99) ).
cnf(i_0_130,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_130) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_7) ).
cnf(i_0_103,negated_conjecture,
h(j(e22)) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_103) ).
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_124) ).
cnf(i_0_16,plain,
e22 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_16) ).
cnf(i_0_118,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_118) ).
cnf(i_0_102,negated_conjecture,
h(j(e23)) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_102) ).
cnf(i_0_15,plain,
e23 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hyz55264/lgb.p',i_0_15) ).
cnf(c_0_195,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
i_0_149 ).
cnf(c_0_196,plain,
op1(e11,e11) = e14,
i_0_64 ).
cnf(c_0_197,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| ~ epred1_0 ),
i_0_165 ).
cnf(c_0_198,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_199,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
i_0_162 ).
cnf(c_0_200,negated_conjecture,
op2(h(e11),h(e11)) = h(e14),
inference(rw,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_201,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_197,c_0_198])]) ).
cnf(c_0_202,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_203,negated_conjecture,
j(h(e14)) = e14,
i_0_96 ).
cnf(c_0_204,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_199,c_0_198])]) ).
cnf(c_0_205,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_200,c_0_201]),c_0_202]) ).
cnf(c_0_206,negated_conjecture,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| j(e20) = e14 ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_207,plain,
e24 != e20,
i_0_17 ).
cnf(c_0_208,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_205,c_0_206]),c_0_207]) ).
cnf(c_0_209,plain,
e23 != e20,
i_0_18 ).
cnf(c_0_210,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_205,c_0_208]),c_0_209]) ).
cnf(c_0_211,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_212,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_205,c_0_210]),c_0_211]) ).
cnf(c_0_213,plain,
e21 != e20,
i_0_20 ).
cnf(c_0_214,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_205,c_0_212]),c_0_213]) ).
cnf(c_0_215,plain,
op2(e24,e24) = e20,
i_0_71 ).
cnf(c_0_216,negated_conjecture,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| j(e20) = e14
| h(e14) = e20 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_214]),c_0_215]) ).
cnf(c_0_217,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
i_0_131 ).
cnf(c_0_218,plain,
op1(e14,e14) = e10,
i_0_46 ).
cnf(c_0_219,negated_conjecture,
( h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| j(e20) = e14 ),
inference(spm,[status(thm)],[c_0_203,c_0_216]) ).
cnf(c_0_220,plain,
op2(e23,e23) = e21,
i_0_77 ).
cnf(c_0_221,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
i_0_155 ).
cnf(c_0_222,plain,
op1(e10,e10) = e10,
i_0_70 ).
cnf(c_0_223,negated_conjecture,
op2(h(e14),h(e14)) = h(e10),
inference(rw,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_224,negated_conjecture,
( j(e20) = e14
| h(e11) = e22
| h(e11) = e21
| h(e14) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_219]),c_0_220]) ).
cnf(c_0_225,plain,
op2(e21,e21) = e22,
i_0_89 ).
cnf(c_0_226,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_227,negated_conjecture,
( h(e11) = e21
| h(e11) = e22
| j(e20) = e14
| h(e10) = e22 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]) ).
cnf(c_0_228,plain,
op2(e22,e22) = e23,
i_0_83 ).
cnf(c_0_229,plain,
e23 != e22,
i_0_13 ).
cnf(c_0_230,negated_conjecture,
j(h(e11)) = e11,
i_0_99 ).
cnf(c_0_231,negated_conjecture,
( j(e20) = e14
| h(e11) = e22
| h(e11) = e21 ),
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_232,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_130 ).
cnf(c_0_233,negated_conjecture,
( h(e11) = e21
| j(e20) = e14
| j(e22) = e11 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_234,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_232,c_0_202]) ).
cnf(c_0_235,negated_conjecture,
( j(e22) = e11
| j(e20) = e14
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_230,c_0_233]) ).
cnf(c_0_236,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_237,negated_conjecture,
h(j(e22)) = e22,
i_0_103 ).
cnf(c_0_238,negated_conjecture,
( j(e21) = e11
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_218]),c_0_236]) ).
cnf(c_0_239,negated_conjecture,
( j(e21) = e11
| h(e11) = e22 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_240,negated_conjecture,
( j(e21) = e11
| h(e14) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_239]),c_0_228]) ).
cnf(c_0_241,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_242,negated_conjecture,
( j(e21) = e11
| h(e10) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_240]),c_0_220]) ).
cnf(c_0_243,plain,
e22 != e21,
i_0_16 ).
cnf(c_0_244,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
i_0_118 ).
cnf(c_0_245,negated_conjecture,
op1(j(e21),j(e21)) = j(e22),
inference(rw,[status(thm)],[c_0_241,c_0_225]) ).
cnf(c_0_246,negated_conjecture,
j(e21) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_242]),c_0_225]),c_0_243]) ).
cnf(c_0_247,negated_conjecture,
op1(j(e22),j(e22)) = j(e23),
inference(rw,[status(thm)],[c_0_244,c_0_228]) ).
cnf(c_0_248,negated_conjecture,
j(e22) = e14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_246]),c_0_196]) ).
cnf(c_0_249,negated_conjecture,
h(j(e23)) = e23,
i_0_102 ).
cnf(c_0_250,negated_conjecture,
j(e23) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_248]),c_0_218]) ).
cnf(c_0_251,negated_conjecture,
h(e10) = e23,
inference(rw,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_252,plain,
e23 != e21,
i_0_15 ).
cnf(c_0_253,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_251]),c_0_251]),c_0_220]),c_0_251]),c_0_252]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 7 22:33:55 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 4.46/2.23 # ENIGMATIC: Solved by autoschedule-lgb:
% 4.46/2.23 # No SInE strategy applied
% 4.46/2.23 # Trying AutoSched0 for 150 seconds
% 4.46/2.23 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S053A
% 4.46/2.23 # and selection function HSelectMinInfpos.
% 4.46/2.23 #
% 4.46/2.23 # Preprocessing time : 0.025 s
% 4.46/2.23 # Presaturation interreduction done
% 4.46/2.23
% 4.46/2.23 # Proof found!
% 4.46/2.23 # SZS status Theorem
% 4.46/2.23 # SZS output start CNFRefutation
% See solution above
% 4.46/2.23 # Training examples: 0 positive, 0 negative
% 4.46/2.23
% 4.46/2.23 # -------------------------------------------------
% 4.46/2.23 # User time : 0.043 s
% 4.46/2.23 # System time : 0.002 s
% 4.46/2.23 # Total time : 0.045 s
% 4.46/2.23 # Maximum resident set size: 7124 pages
% 4.46/2.23
%------------------------------------------------------------------------------