TSTP Solution File: ALG089+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG089+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 14:51:39 EDT 2022
% Result : Theorem 7.98s 2.36s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of clauses : 90 ( 67 unt; 23 nHn; 90 RR)
% Number of literals : 179 ( 170 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 : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_130,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_130) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_95) ).
cnf(i_0_161,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_161) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_156) ).
cnf(i_0_46,plain,
op1(e14,e14) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_46) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_7) ).
cnf(i_0_52,plain,
op1(e13,e13) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_52) ).
cnf(i_0_8,plain,
e13 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_8) ).
cnf(i_0_58,plain,
op1(e12,e12) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_58) ).
cnf(i_0_9,plain,
e12 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_9) ).
cnf(i_0_122,negated_conjecture,
op1(j(e21),j(e23)) = j(op2(e21,e23)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_122) ).
cnf(i_0_87,plain,
op2(e21,e23) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_87) ).
cnf(i_0_64,plain,
op1(e11,e11) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_64) ).
cnf(i_0_10,plain,
e11 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_10) ).
cnf(i_0_158,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_158) ).
cnf(i_0_160,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_160) ).
cnf(i_0_104,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_104) ).
cnf(i_0_112,negated_conjecture,
op1(j(e23),j(e23)) = j(op2(e23,e23)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_112) ).
cnf(i_0_77,plain,
op2(e23,e23) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_77) ).
cnf(i_0_51,plain,
op1(e13,e14) = e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_51) ).
cnf(i_0_105,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_105) ).
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_124) ).
cnf(i_0_89,plain,
op2(e21,e21) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_89) ).
cnf(i_0_102,negated_conjecture,
h(j(e23)) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_102) ).
cnf(i_0_18,plain,
e23 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_18) ).
cnf(i_0_103,negated_conjecture,
h(j(e22)) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_103) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_19) ).
cnf(i_0_131,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_131) ).
cnf(i_0_149,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_149) ).
cnf(i_0_20,plain,
e21 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-im0rm6nb/input.p',i_0_20) ).
cnf(c_0_192,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_130 ).
cnf(c_0_193,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_194,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
i_0_161 ).
cnf(c_0_195,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_196,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_192,c_0_193]) ).
cnf(c_0_197,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).
cnf(c_0_198,plain,
op1(e14,e14) = e10,
i_0_46 ).
cnf(c_0_199,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_200,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199]) ).
cnf(c_0_201,plain,
op1(e13,e13) = e10,
i_0_52 ).
cnf(c_0_202,plain,
e13 != e10,
i_0_8 ).
cnf(c_0_203,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_200]),c_0_201]),c_0_202]) ).
cnf(c_0_204,plain,
op1(e12,e12) = e10,
i_0_58 ).
cnf(c_0_205,plain,
e12 != e10,
i_0_9 ).
cnf(c_0_206,negated_conjecture,
op1(j(e21),j(e23)) = j(op2(e21,e23)),
i_0_122 ).
cnf(c_0_207,plain,
op2(e21,e23) = e20,
i_0_87 ).
cnf(c_0_208,negated_conjecture,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_203]),c_0_204]),c_0_205]) ).
cnf(c_0_209,plain,
op1(e11,e11) = e10,
i_0_64 ).
cnf(c_0_210,plain,
e11 != e10,
i_0_10 ).
cnf(c_0_211,negated_conjecture,
op1(j(e21),j(e23)) = j(e20),
inference(rw,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_212,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_208]),c_0_209]),c_0_210]) ).
cnf(c_0_213,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| ~ epred1_0 ),
i_0_158 ).
cnf(c_0_214,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
i_0_160 ).
cnf(c_0_215,negated_conjecture,
op1(j(e21),j(e23)) = e10,
inference(rw,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_216,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_195])]) ).
cnf(c_0_217,negated_conjecture,
h(j(e21)) = e21,
i_0_104 ).
cnf(c_0_218,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_195])]) ).
cnf(c_0_219,negated_conjecture,
op1(j(e23),j(e23)) = j(op2(e23,e23)),
i_0_112 ).
cnf(c_0_220,plain,
op2(e23,e23) = e21,
i_0_77 ).
cnf(c_0_221,plain,
( op1(j(e21),e14) = e10
| j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_222,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| h(e14) = e21 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_223,plain,
op1(e13,e14) = e11,
i_0_51 ).
cnf(c_0_224,negated_conjecture,
op1(j(e23),j(e23)) = j(e21),
inference(rw,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_225,plain,
( h(e14) = e21
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_210]) ).
cnf(c_0_226,negated_conjecture,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e21) = e11
| j(e21) = e12
| h(e14) = e21
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_201])]) ).
cnf(c_0_227,negated_conjecture,
( h(e14) = e21
| j(e21) = e12
| j(e21) = e11
| j(e23) = e11
| j(e23) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_226]),c_0_204])]) ).
cnf(c_0_228,negated_conjecture,
h(j(e20)) = e20,
i_0_105 ).
cnf(c_0_229,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_230,plain,
op2(e21,e21) = e22,
i_0_89 ).
cnf(c_0_231,negated_conjecture,
h(j(e23)) = e23,
i_0_102 ).
cnf(c_0_232,negated_conjecture,
( j(e23) = e10
| j(e21) = e11
| j(e21) = e12
| h(e14) = e21
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_227]),c_0_209])]) ).
cnf(c_0_233,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_228,c_0_212]) ).
cnf(c_0_234,plain,
e23 != e20,
i_0_18 ).
cnf(c_0_235,negated_conjecture,
op1(j(e21),j(e21)) = j(e22),
inference(rw,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_236,negated_conjecture,
( j(e21) = e10
| h(e14) = e21
| j(e21) = e12
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_234]) ).
cnf(c_0_237,negated_conjecture,
h(j(e22)) = e22,
i_0_103 ).
cnf(c_0_238,negated_conjecture,
( j(e21) = e11
| h(e14) = e21
| j(e21) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_204]) ).
cnf(c_0_239,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_240,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
i_0_131 ).
cnf(c_0_241,negated_conjecture,
( j(e21) = e10
| h(e14) = e21
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_233]),c_0_239]) ).
cnf(c_0_242,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
i_0_149 ).
cnf(c_0_243,negated_conjecture,
op2(h(e14),h(e14)) = h(e10),
inference(rw,[status(thm)],[c_0_240,c_0_198]) ).
cnf(c_0_244,negated_conjecture,
( h(e14) = e21
| j(e21) = e10
| h(e11) = e21 ),
inference(spm,[status(thm)],[c_0_217,c_0_241]) ).
cnf(c_0_245,plain,
e21 != e20,
i_0_20 ).
cnf(c_0_246,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(rw,[status(thm)],[c_0_242,c_0_209]) ).
cnf(c_0_247,negated_conjecture,
op2(h(e14),h(e14)) = e20,
inference(rw,[status(thm)],[c_0_243,c_0_233]) ).
cnf(c_0_248,negated_conjecture,
( h(e11) = e21
| h(e14) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_244]),c_0_233]),c_0_245]) ).
cnf(c_0_249,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(rw,[status(thm)],[c_0_246,c_0_233]) ).
cnf(c_0_250,negated_conjecture,
h(e11) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_230]),c_0_239]) ).
cnf(c_0_251,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250]),c_0_250]),c_0_230]),c_0_239]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : ALG089+1 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.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 10:33:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.98/2.36 # ENIGMATIC: Solved by autoschedule:
% 7.98/2.36 # No SInE strategy applied
% 7.98/2.36 # Trying AutoSched0 for 150 seconds
% 7.98/2.36 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.98/2.36 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.98/2.36 #
% 7.98/2.36 # Preprocessing time : 0.025 s
% 7.98/2.36
% 7.98/2.36 # Proof found!
% 7.98/2.36 # SZS status Theorem
% 7.98/2.36 # SZS output start CNFRefutation
% See solution above
% 7.98/2.36 # Training examples: 0 positive, 0 negative
% 7.98/2.36
% 7.98/2.36 # -------------------------------------------------
% 7.98/2.36 # User time : 0.037 s
% 7.98/2.36 # System time : 0.001 s
% 7.98/2.36 # Total time : 0.038 s
% 7.98/2.36 # Maximum resident set size: 7116 pages
% 7.98/2.36
%------------------------------------------------------------------------------