%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG087+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 7.25s 2.34s
% Output : CNFRefutation 7.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of clauses : 76 ( 55 unt; 21 nHn; 76 RR)
% Number of literals : 139 ( 130 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-utkimlpg/input.p',i_0_130) ).
cnf(i_0_95,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/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-utkimlpg/input.p',i_0_161) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_156) ).
cnf(i_0_46,plain,
op1(e14,e14) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_46) ).
cnf(i_0_7,plain,
e14 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_7) ).
cnf(i_0_52,plain,
op1(e13,e13) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_52) ).
cnf(i_0_8,plain,
e13 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_8) ).
cnf(i_0_58,plain,
op1(e12,e12) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_58) ).
cnf(i_0_9,plain,
e12 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_9) ).
cnf(i_0_64,plain,
op1(e11,e11) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_64) ).
cnf(i_0_10,plain,
e11 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_10) ).
cnf(i_0_131,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_131) ).
cnf(i_0_105,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_105) ).
cnf(i_0_137,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_137) ).
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-utkimlpg/input.p',i_0_162) ).
cnf(i_0_163,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_163) ).
cnf(i_0_71,plain,
op2(e24,e24) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_71) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_19) ).
cnf(i_0_77,plain,
op2(e23,e23) = e24,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_77) ).
cnf(i_0_17,plain,
e24 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_17) ).
cnf(i_0_83,plain,
op2(e22,e22) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_83) ).
cnf(i_0_18,plain,
e23 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_18) ).
cnf(i_0_96,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_96) ).
cnf(i_0_97,negated_conjecture,
j(h(e13)) = e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_97) ).
cnf(i_0_1,plain,
e14 != e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-utkimlpg/input.p',i_0_1) ).
cnf(c_0_190,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_130 ).
cnf(c_0_191,plain,
op2(e20,e20) = e20,
i_0_95 ).
cnf(c_0_192,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 ),
i_0_161 ).
cnf(c_0_193,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_194,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_195,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_192,c_0_193])]) ).
cnf(c_0_196,plain,
op1(e14,e14) = e10,
i_0_46 ).
cnf(c_0_197,plain,
e14 != e10,
i_0_7 ).
cnf(c_0_198,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_194,c_0_195]),c_0_196]),c_0_197]) ).
cnf(c_0_199,plain,
op1(e13,e13) = e10,
i_0_52 ).
cnf(c_0_200,plain,
e13 != e10,
i_0_8 ).
cnf(c_0_201,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_194,c_0_198]),c_0_199]),c_0_200]) ).
cnf(c_0_202,plain,
op1(e12,e12) = e10,
i_0_58 ).
cnf(c_0_203,plain,
e12 != e10,
i_0_9 ).
cnf(c_0_204,negated_conjecture,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_201]),c_0_202]),c_0_203]) ).
cnf(c_0_205,plain,
op1(e11,e11) = e10,
i_0_64 ).
cnf(c_0_206,plain,
e11 != e10,
i_0_10 ).
cnf(c_0_207,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
i_0_131 ).
cnf(c_0_208,negated_conjecture,
h(j(e20)) = e20,
i_0_105 ).
cnf(c_0_209,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_204]),c_0_205]),c_0_206]) ).
cnf(c_0_210,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
i_0_137 ).
cnf(c_0_211,negated_conjecture,
op2(h(e14),h(e14)) = h(e10),
inference(rw,[status(thm)],[c_0_207,c_0_196]) ).
cnf(c_0_212,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_213,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
i_0_162 ).
cnf(c_0_214,negated_conjecture,
op2(h(e13),h(e13)) = h(e10),
inference(rw,[status(thm)],[c_0_210,c_0_199]) ).
cnf(c_0_215,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| ~ epred1_0 ),
i_0_163 ).
cnf(c_0_216,negated_conjecture,
op2(h(e14),h(e14)) = e20,
inference(rw,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_217,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_213,c_0_193])]) ).
cnf(c_0_218,plain,
op2(e24,e24) = e22,
i_0_71 ).
cnf(c_0_219,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_220,negated_conjecture,
op2(h(e13),h(e13)) = e20,
inference(rw,[status(thm)],[c_0_214,c_0_212]) ).
cnf(c_0_221,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_193])]) ).
cnf(c_0_222,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_216,c_0_217]),c_0_218]),c_0_219]) ).
cnf(c_0_223,plain,
op2(e23,e23) = e24,
i_0_77 ).
cnf(c_0_224,plain,
e24 != e20,
i_0_17 ).
cnf(c_0_225,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_218]),c_0_219]) ).
cnf(c_0_226,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_216,c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_227,plain,
op2(e22,e22) = e23,
i_0_83 ).
cnf(c_0_228,plain,
e23 != e20,
i_0_18 ).
cnf(c_0_229,negated_conjecture,
( h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_225]),c_0_223]),c_0_224]) ).
cnf(c_0_230,negated_conjecture,
j(h(e14)) = e14,
i_0_96 ).
cnf(c_0_231,negated_conjecture,
( h(e14) = e20
| h(e14) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_226]),c_0_227]),c_0_228]) ).
cnf(c_0_232,negated_conjecture,
j(h(e13)) = e13,
i_0_97 ).
cnf(c_0_233,negated_conjecture,
( h(e13) = e20
| h(e13) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_229]),c_0_227]),c_0_228]) ).
cnf(c_0_234,negated_conjecture,
( h(e14) = e20
| j(e21) = e14 ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_235,negated_conjecture,
( h(e13) = e20
| j(e21) = e13 ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_236,plain,
e14 != e13,
i_0_1 ).
cnf(c_0_237,negated_conjecture,
( h(e13) = e20
| h(e14) = e20 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).
cnf(c_0_238,negated_conjecture,
h(e13) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_237]),c_0_209]),c_0_197]) ).
cnf(c_0_239,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_238]),c_0_209]),c_0_200]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG087+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % 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 03:43:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 7.25/2.34 # ENIGMATIC: Solved by autoschedule:
% 7.25/2.34 # No SInE strategy applied
% 7.25/2.34 # Trying AutoSched0 for 150 seconds
% 7.25/2.34 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.25/2.34 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.25/2.34 #
% 7.25/2.34 # Preprocessing time : 0.019 s
% 7.25/2.34
% 7.25/2.34 # Proof found!
% 7.25/2.34 # SZS status Theorem
% 7.25/2.34 # SZS output start CNFRefutation
% See solution above
% 7.25/2.34 # Training examples: 0 positive, 0 negative
% 7.25/2.34
% 7.25/2.34 # -------------------------------------------------
% 7.25/2.34 # User time : 0.024 s
% 7.25/2.34 # System time : 0.006 s
% 7.25/2.34 # Total time : 0.030 s
% 7.25/2.34 # Maximum resident set size: 7116 pages
% 7.25/2.34
%------------------------------------------------------------------------------