TSTP Solution File: ALG076+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG076+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 14:51:36 EDT 2022
% Result : Theorem 8.54s 2.43s
% Output : CNFRefutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 32
% Syntax : Number of clauses : 95 ( 70 unt; 25 nHn; 95 RR)
% Number of literals : 175 ( 166 equ; 22 neg)
% Maximal clause size : 6 ( 1 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_130,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_130) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/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-ueapc0h7/input.p',i_0_161) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_156) ).
cnf(i_0_46,plain,
op1(e14,e14) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_46) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_7) ).
cnf(i_0_52,plain,
op1(e13,e13) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_52) ).
cnf(i_0_1,plain,
e14 != e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_1) ).
cnf(i_0_58,plain,
op1(e12,e12) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_58) ).
cnf(i_0_2,plain,
e14 != e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_2) ).
cnf(i_0_64,plain,
op1(e11,e11) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_64) ).
cnf(i_0_4,plain,
e14 != e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_4) ).
cnf(i_0_131,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_131) ).
cnf(i_0_105,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_105) ).
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-ueapc0h7/input.p',i_0_162) ).
cnf(i_0_71,plain,
op2(e24,e24) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_71) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_19) ).
cnf(i_0_77,plain,
op2(e23,e23) = e24,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_77) ).
cnf(i_0_17,plain,
e24 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_17) ).
cnf(i_0_146,negated_conjecture,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_146) ).
cnf(i_0_61,plain,
op1(e11,e14) = e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_61) ).
cnf(i_0_83,plain,
op2(e22,e22) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_83) ).
cnf(i_0_18,plain,
e23 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_18) ).
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-ueapc0h7/input.p',i_0_165) ).
cnf(i_0_74,plain,
op2(e24,e21) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_74) ).
cnf(i_0_143,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_143) ).
cnf(i_0_96,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_96) ).
cnf(i_0_149,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_149) ).
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_124) ).
cnf(i_0_89,plain,
op2(e21,e21) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_89) ).
cnf(i_0_99,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_99) ).
cnf(i_0_10,plain,
e11 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ueapc0h7/input.p',i_0_10) ).
cnf(c_0_198,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_130 ).
cnf(c_0_199,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_200,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
i_0_161 ).
cnf(c_0_201,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_202,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_203,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_200,c_0_201])]) ).
cnf(c_0_204,plain,
op1(e14,e14) = e10,
i_0_46 ).
cnf(c_0_205,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_206,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_202,c_0_203]),c_0_204]),c_0_205]) ).
cnf(c_0_207,plain,
op1(e13,e13) = e14,
i_0_52 ).
cnf(c_0_208,plain,
e14 != e13,
i_0_1 ).
cnf(c_0_209,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_202,c_0_206]),c_0_207]),c_0_208]) ).
cnf(c_0_210,plain,
op1(e12,e12) = e14,
i_0_58 ).
cnf(c_0_211,plain,
e14 != e12,
i_0_2 ).
cnf(c_0_212,negated_conjecture,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_209]),c_0_210]),c_0_211]) ).
cnf(c_0_213,plain,
op1(e11,e11) = e14,
i_0_64 ).
cnf(c_0_214,plain,
e14 != e11,
i_0_4 ).
cnf(c_0_215,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
i_0_131 ).
cnf(c_0_216,negated_conjecture,
h(j(e20)) = e20,
i_0_105 ).
cnf(c_0_217,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_212]),c_0_213]),c_0_214]) ).
cnf(c_0_218,negated_conjecture,
op2(h(e14),h(e14)) = h(e10),
inference(rw,[status(thm)],[c_0_215,c_0_204]) ).
cnf(c_0_219,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_220,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
i_0_162 ).
cnf(c_0_221,negated_conjecture,
op2(h(e14),h(e14)) = e20,
inference(rw,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_222,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_201])]) ).
cnf(c_0_223,plain,
op2(e24,e24) = e22,
i_0_71 ).
cnf(c_0_224,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_225,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_226,plain,
op2(e23,e23) = e24,
i_0_77 ).
cnf(c_0_227,plain,
e24 != e20,
i_0_17 ).
cnf(c_0_228,negated_conjecture,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
i_0_146 ).
cnf(c_0_229,plain,
op1(e11,e14) = e12,
i_0_61 ).
cnf(c_0_230,negated_conjecture,
( h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_225]),c_0_226]),c_0_227]) ).
cnf(c_0_231,plain,
op2(e22,e22) = e23,
i_0_83 ).
cnf(c_0_232,plain,
e23 != e20,
i_0_18 ).
cnf(c_0_233,negated_conjecture,
op2(h(e11),h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_234,negated_conjecture,
( h(e14) = e20
| h(e14) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_230]),c_0_231]),c_0_232]) ).
cnf(c_0_235,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| ~ epred1_0 ),
i_0_165 ).
cnf(c_0_236,negated_conjecture,
( op2(h(e11),e21) = h(e12)
| h(e14) = e20 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_237,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_201])]) ).
cnf(c_0_238,plain,
op2(e24,e21) = e23,
i_0_74 ).
cnf(c_0_239,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
i_0_143 ).
cnf(c_0_240,negated_conjecture,
j(h(e14)) = e14,
i_0_96 ).
cnf(c_0_241,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e14) = e20
| h(e12) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238]) ).
cnf(c_0_242,negated_conjecture,
op2(h(e12),h(e12)) = h(e14),
inference(rw,[status(thm)],[c_0_239,c_0_210]) ).
cnf(c_0_243,negated_conjecture,
( h(e12) = e23
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_217]),c_0_205]) ).
cnf(c_0_244,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
i_0_149 ).
cnf(c_0_245,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e14) = e24 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_226]) ).
cnf(c_0_246,negated_conjecture,
op2(h(e11),h(e11)) = h(e14),
inference(rw,[status(thm)],[c_0_244,c_0_213]) ).
cnf(c_0_247,negated_conjecture,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_245]),c_0_223]),c_0_224]) ).
cnf(c_0_248,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e14) = e24 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_226]) ).
cnf(c_0_249,negated_conjecture,
( h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_248]),c_0_223]),c_0_224]) ).
cnf(c_0_250,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_251,plain,
op2(e21,e21) = e20,
i_0_89 ).
cnf(c_0_252,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e14) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_249]),c_0_231]) ).
cnf(c_0_253,negated_conjecture,
op1(j(e21),j(e21)) = j(e20),
inference(rw,[status(thm)],[c_0_250,c_0_251]) ).
cnf(c_0_254,negated_conjecture,
j(h(e11)) = e11,
i_0_99 ).
cnf(c_0_255,negated_conjecture,
( h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_252]),c_0_226]),c_0_227]) ).
cnf(c_0_256,negated_conjecture,
op1(j(e21),j(e21)) = e10,
inference(rw,[status(thm)],[c_0_253,c_0_217]) ).
cnf(c_0_257,negated_conjecture,
( h(e11) = e20
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_254,c_0_255]) ).
cnf(c_0_258,negated_conjecture,
h(e11) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_213]),c_0_205]) ).
cnf(c_0_259,plain,
e11 != e10,
i_0_10 ).
cnf(c_0_260,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_258]),c_0_217]),c_0_259]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG076+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 04:38:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.54/2.43 # ENIGMATIC: Solved by autoschedule:
% 8.54/2.43 # No SInE strategy applied
% 8.54/2.43 # Trying AutoSched0 for 150 seconds
% 8.54/2.43 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 8.54/2.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.54/2.43 #
% 8.54/2.43 # Preprocessing time : 0.024 s
% 8.54/2.43
% 8.54/2.43 # Proof found!
% 8.54/2.43 # SZS status Theorem
% 8.54/2.43 # SZS output start CNFRefutation
% See solution above
% 8.54/2.43 # Training examples: 0 positive, 0 negative
% 8.54/2.43
% 8.54/2.43 # -------------------------------------------------
% 8.54/2.43 # User time : 0.031 s
% 8.54/2.43 # System time : 0.007 s
% 8.54/2.43 # Total time : 0.038 s
% 8.54/2.43 # Maximum resident set size: 7116 pages
% 8.54/2.43
%------------------------------------------------------------------------------