TSTP Solution File: ALG086+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG086+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 8.43s 2.45s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 32
% Syntax : Number of clauses : 97 ( 72 unt; 25 nHn; 97 RR)
% Number of literals : 199 ( 190 equ; 20 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 : 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/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_130) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/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/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_161) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_156) ).
cnf(i_0_46,plain,
op1(e14,e14) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_46) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_7) ).
cnf(i_0_52,plain,
op1(e13,e13) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_52) ).
cnf(i_0_8,plain,
e13 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_8) ).
cnf(i_0_58,plain,
op1(e12,e12) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_58) ).
cnf(i_0_9,plain,
e12 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_9) ).
cnf(i_0_119,negated_conjecture,
op1(j(e22),j(e21)) = j(op2(e22,e21)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_119) ).
cnf(i_0_84,plain,
op2(e22,e21) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_84) ).
cnf(i_0_64,plain,
op1(e11,e11) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_64) ).
cnf(i_0_10,plain,
e11 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_10) ).
cnf(i_0_159,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_159) ).
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/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_160) ).
cnf(i_0_104,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_104) ).
cnf(i_0_47,plain,
op1(e14,e13) = e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_47) ).
cnf(i_0_103,negated_conjecture,
h(j(e22)) = e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_103) ).
cnf(i_0_57,plain,
op1(e12,e13) = e11,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_57) ).
cnf(i_0_62,plain,
op1(e11,e13) = e14,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_62) ).
cnf(i_0_105,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_105) ).
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_124) ).
cnf(i_0_89,plain,
op2(e21,e21) = e24,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_89) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_19) ).
cnf(i_0_101,negated_conjecture,
h(j(e24)) = e24,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_101) ).
cnf(i_0_17,plain,
e24 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_17) ).
cnf(i_0_131,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_131) ).
cnf(i_0_137,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_137) ).
cnf(i_0_20,plain,
e21 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_20) ).
cnf(i_0_149,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_149) ).
cnf(i_0_83,plain,
op2(e22,e22) = e24,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75dbdq_m/input.p',i_0_83) ).
cnf(c_0_194,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_130 ).
cnf(c_0_195,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_196,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
i_0_161 ).
cnf(c_0_197,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_198,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_199,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_196,c_0_197])]) ).
cnf(c_0_200,plain,
op1(e14,e14) = e10,
i_0_46 ).
cnf(c_0_201,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_202,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_198,c_0_199]),c_0_200]),c_0_201]) ).
cnf(c_0_203,plain,
op1(e13,e13) = e10,
i_0_52 ).
cnf(c_0_204,plain,
e13 != e10,
i_0_8 ).
cnf(c_0_205,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_198,c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_206,plain,
op1(e12,e12) = e10,
i_0_58 ).
cnf(c_0_207,plain,
e12 != e10,
i_0_9 ).
cnf(c_0_208,negated_conjecture,
op1(j(e22),j(e21)) = j(op2(e22,e21)),
i_0_119 ).
cnf(c_0_209,plain,
op2(e22,e21) = e20,
i_0_84 ).
cnf(c_0_210,negated_conjecture,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_205]),c_0_206]),c_0_207]) ).
cnf(c_0_211,plain,
op1(e11,e11) = e10,
i_0_64 ).
cnf(c_0_212,plain,
e11 != e10,
i_0_10 ).
cnf(c_0_213,negated_conjecture,
op1(j(e22),j(e21)) = j(e20),
inference(rw,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_214,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_210]),c_0_211]),c_0_212]) ).
cnf(c_0_215,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| ~ epred1_0 ),
i_0_159 ).
cnf(c_0_216,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
i_0_160 ).
cnf(c_0_217,negated_conjecture,
op1(j(e22),j(e21)) = e10,
inference(rw,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_218,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_197])]) ).
cnf(c_0_219,negated_conjecture,
h(j(e21)) = e21,
i_0_104 ).
cnf(c_0_220,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_216,c_0_197])]) ).
cnf(c_0_221,plain,
( op1(e14,j(e21)) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
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_219,c_0_220]) ).
cnf(c_0_223,plain,
op1(e14,e13) = e12,
i_0_47 ).
cnf(c_0_224,negated_conjecture,
h(j(e22)) = e22,
i_0_103 ).
cnf(c_0_225,plain,
( h(e14) = e21
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_207]) ).
cnf(c_0_226,negated_conjecture,
( op1(j(e22),e13) = e10
| h(e14) = e21
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_217,c_0_222]) ).
cnf(c_0_227,negated_conjecture,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| h(e14) = e21
| h(e13) = e22 ),
inference(spm,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_228,plain,
op1(e12,e13) = e11,
i_0_57 ).
cnf(c_0_229,negated_conjecture,
( h(e13) = e22
| j(e22) = e11
| j(e22) = e10
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| h(e14) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]),c_0_212]) ).
cnf(c_0_230,plain,
op1(e11,e13) = e14,
i_0_62 ).
cnf(c_0_231,negated_conjecture,
h(j(e20)) = e20,
i_0_105 ).
cnf(c_0_232,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_233,plain,
op2(e21,e21) = e24,
i_0_89 ).
cnf(c_0_234,negated_conjecture,
( j(e22) = e10
| h(e13) = e22
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| h(e14) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_229]),c_0_230]),c_0_201]) ).
cnf(c_0_235,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_231,c_0_214]) ).
cnf(c_0_236,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_237,negated_conjecture,
op1(j(e21),j(e21)) = j(e24),
inference(rw,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_238,negated_conjecture,
( h(e14) = e21
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| h(e13) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_234]),c_0_235]),c_0_236]) ).
cnf(c_0_239,negated_conjecture,
h(j(e24)) = e24,
i_0_101 ).
cnf(c_0_240,negated_conjecture,
( h(e13) = e22
| j(e21) = e10
| j(e21) = e11
| h(e14) = e21
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_206]) ).
cnf(c_0_241,plain,
e24 != e20,
i_0_17 ).
cnf(c_0_242,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
i_0_131 ).
cnf(c_0_243,negated_conjecture,
( h(e14) = e21
| j(e21) = e11
| j(e21) = e10
| h(e13) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_235]),c_0_241]) ).
cnf(c_0_244,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
i_0_137 ).
cnf(c_0_245,negated_conjecture,
op2(h(e14),h(e14)) = h(e10),
inference(rw,[status(thm)],[c_0_242,c_0_200]) ).
cnf(c_0_246,negated_conjecture,
( h(e13) = e22
| j(e21) = e10
| h(e14) = e21
| h(e11) = e21 ),
inference(spm,[status(thm)],[c_0_219,c_0_243]) ).
cnf(c_0_247,plain,
e21 != e20,
i_0_20 ).
cnf(c_0_248,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
i_0_149 ).
cnf(c_0_249,negated_conjecture,
op2(h(e13),h(e13)) = h(e10),
inference(rw,[status(thm)],[c_0_244,c_0_203]) ).
cnf(c_0_250,negated_conjecture,
op2(h(e14),h(e14)) = e20,
inference(rw,[status(thm)],[c_0_245,c_0_235]) ).
cnf(c_0_251,negated_conjecture,
( h(e11) = e21
| h(e14) = e21
| h(e13) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_246]),c_0_235]),c_0_247]) ).
cnf(c_0_252,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(rw,[status(thm)],[c_0_248,c_0_211]) ).
cnf(c_0_253,negated_conjecture,
op2(h(e13),h(e13)) = e20,
inference(rw,[status(thm)],[c_0_249,c_0_235]) ).
cnf(c_0_254,negated_conjecture,
( h(e13) = e22
| h(e11) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_233]),c_0_241]) ).
cnf(c_0_255,plain,
op2(e22,e22) = e24,
i_0_83 ).
cnf(c_0_256,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(rw,[status(thm)],[c_0_252,c_0_235]) ).
cnf(c_0_257,negated_conjecture,
h(e11) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_241]) ).
cnf(c_0_258,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_257]),c_0_257]),c_0_233]),c_0_241]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG086+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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 14:17:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.43/2.45 # ENIGMATIC: Solved by autoschedule:
% 8.43/2.45 # No SInE strategy applied
% 8.43/2.45 # Trying AutoSched0 for 150 seconds
% 8.43/2.45 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 8.43/2.45 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.43/2.45 #
% 8.43/2.45 # Preprocessing time : 0.022 s
% 8.43/2.45
% 8.43/2.45 # Proof found!
% 8.43/2.45 # SZS status Theorem
% 8.43/2.45 # SZS output start CNFRefutation
% See solution above
% 8.43/2.45 # Training examples: 0 positive, 0 negative
% 8.43/2.45
% 8.43/2.45 # -------------------------------------------------
% 8.43/2.45 # User time : 0.031 s
% 8.43/2.45 # System time : 0.005 s
% 8.43/2.45 # Total time : 0.036 s
% 8.43/2.45 # Maximum resident set size: 7120 pages
% 8.43/2.45
%------------------------------------------------------------------------------