TSTP Solution File: ALG113+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG113+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 15:00:19 EDT 2022
% Result : Theorem 8.90s 2.86s
% Output : CNFRefutation 8.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 66
% Syntax : Number of clauses : 178 ( 129 unt; 45 nHn; 178 RR)
% Number of literals : 343 ( 337 equ; 115 neg)
% Maximal clause size : 20 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_231,plain,
op2(op2(e22,e23),e23) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_231) ).
cnf(i_0_232,plain,
op2(e22,e23) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_232) ).
cnf(i_0_159,plain,
op2(e21,e22) != op2(e21,e21),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_159) ).
cnf(i_0_227,plain,
op2(e21,e21) = e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_227) ).
cnf(i_0_163,plain,
op2(e20,e23) != op2(e20,e22),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_163) ).
cnf(i_0_229,plain,
op1(op1(e12,e13),e13) = e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_229) ).
cnf(i_0_230,plain,
op1(e12,e13) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_230) ).
cnf(i_0_131,plain,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_131) ).
cnf(i_0_222,plain,
op1(e12,e12) = e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_222) ).
cnf(i_0_145,plain,
op2(e23,e23) != op2(e23,e22),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_145) ).
cnf(i_0_225,plain,
op2(e23,e23) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_225) ).
cnf(i_0_77,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_77) ).
cnf(i_0_226,plain,
op2(e22,e22) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_226) ).
cnf(i_0_201,plain,
e22 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_201) ).
cnf(i_0_167,plain,
op2(e20,e22) != op2(e20,e20),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_167) ).
cnf(i_0_228,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_228) ).
cnf(i_0_44,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_44) ).
cnf(i_0_224,plain,
op1(e10,e10) = e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_224) ).
cnf(i_0_197,plain,
e10 != e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_197) ).
cnf(i_0_195,plain,
e11 != e12,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_195) ).
cnf(i_0_104,plain,
op1(e12,e11) != op1(e12,e13),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_104) ).
cnf(i_0_190,plain,
op2(e23,e20) != op2(e20,e20),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_190) ).
cnf(i_0_73,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_73) ).
cnf(i_0_199,plain,
e23 != e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_199) ).
cnf(i_0_79,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_79) ).
cnf(i_0_204,plain,
e21 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_204) ).
cnf(i_0_203,plain,
e22 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_203) ).
cnf(i_0_39,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_39) ).
cnf(i_0_223,plain,
op1(e11,e11) = e11,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_223) ).
cnf(i_0_198,plain,
e11 != e10,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_198) ).
cnf(i_0_72,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_72) ).
cnf(i_0_202,plain,
e23 != e20,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_202) ).
cnf(i_0_42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_42) ).
cnf(i_0_196,plain,
e10 != e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_196) ).
cnf(i_0_193,plain,
e12 != e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_193) ).
cnf(i_0_194,plain,
e11 != e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_194) ).
cnf(i_0_99,plain,
op1(e13,e11) != op1(e13,e12),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_99) ).
cnf(i_0_175,plain,
op2(e23,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_175) ).
cnf(i_0_165,plain,
op2(e20,e22) != op2(e20,e21),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_165) ).
cnf(i_0_31,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_31) ).
cnf(i_0_68,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_68) ).
cnf(i_0_81,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_81) ).
cnf(i_0_200,plain,
e23 != e21,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_200) ).
cnf(i_0_100,plain,
op1(e13,e10) != op1(e13,e13),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_100) ).
cnf(i_0_221,plain,
op1(e13,e13) = e13,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_221) ).
cnf(i_0_33,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_33) ).
cnf(i_0_114,plain,
op1(e11,e11) != op1(e11,e10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_114) ).
cnf(i_0_29,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_29) ).
cnf(i_0_156,plain,
op2(e22,e21) != op2(e22,e20),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_156) ).
cnf(i_0_41,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_41) ).
cnf(i_0_108,plain,
op1(e12,e11) != op1(e12,e10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_108) ).
cnf(i_0_45,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_45) ).
cnf(i_0_101,plain,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_101) ).
cnf(i_0_142,plain,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_142) ).
cnf(i_0_89,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_89) ).
cnf(i_0_277,plain,
op2(op2(e23,e22),e22) = h12(e11),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_277) ).
cnf(i_0_67,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_67) ).
cnf(i_0_83,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_83) ).
cnf(i_0_19,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_19) ).
cnf(i_0_4,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_4) ).
cnf(i_0_93,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_93) ).
cnf(i_0_282,negated_conjecture,
( h12(e12) != e23
| ~ epred12_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_282) ).
cnf(i_0_280,plain,
h12(e12) = e23,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_280) ).
cnf(i_0_1077,plain,
( epred12_0
| h12(e10) != e21
| h12(e11) != e20
| h12(e13) != e22
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_1077) ).
cnf(i_0_278,plain,
op2(e23,e22) = h12(e10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_278) ).
cnf(i_0_279,plain,
h12(e13) = e22,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h7nov685/lgb.p',i_0_279) ).
cnf(c_0_1144,plain,
op2(op2(e22,e23),e23) = e21,
i_0_231 ).
cnf(c_0_1145,plain,
op2(e22,e23) = e20,
i_0_232 ).
cnf(c_0_1146,plain,
op2(e21,e22) != op2(e21,e21),
i_0_159 ).
cnf(c_0_1147,plain,
op2(e21,e21) = e21,
i_0_227 ).
cnf(c_0_1148,plain,
op2(e20,e23) != op2(e20,e22),
i_0_163 ).
cnf(c_0_1149,plain,
op2(e20,e23) = e21,
inference(rw,[status(thm)],[c_0_1144,c_0_1145]) ).
cnf(c_0_1150,plain,
op1(op1(e12,e13),e13) = e11,
i_0_229 ).
cnf(c_0_1151,plain,
op1(e12,e13) = e10,
i_0_230 ).
cnf(c_0_1152,plain,
op1(e10,e12) != op1(e12,e12),
i_0_131 ).
cnf(c_0_1153,plain,
op1(e12,e12) = e12,
i_0_222 ).
cnf(c_0_1154,plain,
op2(e23,e23) != op2(e23,e22),
i_0_145 ).
cnf(c_0_1155,plain,
op2(e23,e23) = e23,
i_0_225 ).
cnf(c_0_1156,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
i_0_77 ).
cnf(c_0_1157,plain,
op2(e22,e22) = e22,
i_0_226 ).
cnf(c_0_1158,plain,
e22 != e21,
i_0_201 ).
cnf(c_0_1159,plain,
op2(e21,e22) != e21,
inference(rw,[status(thm)],[c_0_1146,c_0_1147]) ).
cnf(c_0_1160,plain,
op2(e20,e22) != e21,
inference(rw,[status(thm)],[c_0_1148,c_0_1149]) ).
cnf(c_0_1161,plain,
op2(e20,e22) != op2(e20,e20),
i_0_167 ).
cnf(c_0_1162,plain,
op2(e20,e20) = e20,
i_0_228 ).
cnf(c_0_1163,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
i_0_44 ).
cnf(c_0_1164,plain,
op1(e10,e10) = e10,
i_0_224 ).
cnf(c_0_1165,plain,
op1(e10,e13) = e11,
inference(rw,[status(thm)],[c_0_1150,c_0_1151]) ).
cnf(c_0_1166,plain,
e10 != e12,
i_0_197 ).
cnf(c_0_1167,plain,
op1(e10,e12) != e12,
inference(rw,[status(thm)],[c_0_1152,c_0_1153]) ).
cnf(c_0_1168,plain,
e11 != e12,
i_0_195 ).
cnf(c_0_1169,plain,
op1(e12,e11) != op1(e12,e13),
i_0_104 ).
cnf(c_0_1170,plain,
op2(e23,e20) != op2(e20,e20),
i_0_190 ).
cnf(c_0_1171,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
i_0_73 ).
cnf(c_0_1172,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[c_0_1154,c_0_1155]) ).
cnf(c_0_1173,plain,
e23 != e22,
i_0_199 ).
cnf(c_0_1174,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
i_0_79 ).
cnf(c_0_1175,plain,
op2(e23,e22) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1156,c_0_1157]),c_0_1158]),c_0_1159]),c_0_1160]) ).
cnf(c_0_1176,plain,
e21 != e20,
i_0_204 ).
cnf(c_0_1177,plain,
e22 != e20,
i_0_203 ).
cnf(c_0_1178,plain,
op2(e20,e22) != e20,
inference(rw,[status(thm)],[c_0_1161,c_0_1162]) ).
cnf(c_0_1179,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
i_0_39 ).
cnf(c_0_1180,plain,
op1(e10,e11) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1163,c_0_1164]),c_0_1165]),c_0_1166]),c_0_1167]),c_0_1168]) ).
cnf(c_0_1181,plain,
op1(e11,e11) = e11,
i_0_223 ).
cnf(c_0_1182,plain,
e11 != e10,
i_0_198 ).
cnf(c_0_1183,plain,
op1(e12,e11) != e10,
inference(rw,[status(thm)],[c_0_1169,c_0_1151]) ).
cnf(c_0_1184,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
i_0_72 ).
cnf(c_0_1185,plain,
e23 != e20,
i_0_202 ).
cnf(c_0_1186,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[c_0_1170,c_0_1162]) ).
cnf(c_0_1187,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1171,c_0_1157]),c_0_1172]),c_0_1173]) ).
cnf(c_0_1188,plain,
op2(e21,e22) = e20,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1174,c_0_1175]),c_0_1157]),c_0_1176]),c_0_1177]),c_0_1178]) ).
cnf(c_0_1189,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
i_0_42 ).
cnf(c_0_1190,plain,
e10 != e13,
i_0_196 ).
cnf(c_0_1191,plain,
e12 != e13,
i_0_193 ).
cnf(c_0_1192,plain,
e11 != e13,
i_0_194 ).
cnf(c_0_1193,plain,
op1(e13,e11) != op1(e13,e12),
i_0_99 ).
cnf(c_0_1194,plain,
op1(e13,e11) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1179,c_0_1180]),c_0_1181]),c_0_1166]),c_0_1182]),c_0_1183]) ).
cnf(c_0_1195,plain,
op2(e23,e22) != op2(e22,e22),
i_0_175 ).
cnf(c_0_1196,plain,
( op2(e23,e21) = e20
| op2(e23,e22) = e20 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1184,c_0_1155]),c_0_1185]),c_0_1186]) ).
cnf(c_0_1197,plain,
op2(e20,e22) != op2(e20,e21),
i_0_165 ).
cnf(c_0_1198,plain,
op2(e20,e22) = e23,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1187,c_0_1188]),c_0_1185]) ).
cnf(c_0_1199,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
i_0_31 ).
cnf(c_0_1200,plain,
op1(e10,e12) = e13,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1189,c_0_1164]),c_0_1180]),c_0_1165]),c_0_1190]),c_0_1191]),c_0_1192]) ).
cnf(c_0_1201,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_1193,c_0_1194]) ).
cnf(c_0_1202,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
i_0_68 ).
cnf(c_0_1203,plain,
op2(e23,e22) != e22,
inference(rw,[status(thm)],[c_0_1195,c_0_1157]) ).
cnf(c_0_1204,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
i_0_81 ).
cnf(c_0_1205,plain,
op2(e23,e21) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1196,c_0_1175]),c_0_1176]) ).
cnf(c_0_1206,plain,
e23 != e21,
i_0_200 ).
cnf(c_0_1207,plain,
op2(e20,e21) != e23,
inference(rw,[status(thm)],[c_0_1197,c_0_1198]) ).
cnf(c_0_1208,plain,
op1(e13,e10) != op1(e13,e13),
i_0_100 ).
cnf(c_0_1209,plain,
op1(e13,e13) = e13,
i_0_221 ).
cnf(c_0_1210,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
i_0_33 ).
cnf(c_0_1211,plain,
op1(e11,e11) != op1(e11,e10),
i_0_114 ).
cnf(c_0_1212,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
i_0_29 ).
cnf(c_0_1213,plain,
op1(e11,e12) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1199,c_0_1200]),c_0_1153]),c_0_1190]),c_0_1166]),c_0_1201]) ).
cnf(c_0_1214,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1202,c_0_1155]),c_0_1173]),c_0_1203]) ).
cnf(c_0_1215,plain,
op2(e22,e21) != op2(e22,e20),
i_0_156 ).
cnf(c_0_1216,plain,
op2(e22,e21) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1204,c_0_1205]),c_0_1147]),c_0_1185]),c_0_1206]),c_0_1207]) ).
cnf(c_0_1217,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
i_0_41 ).
cnf(c_0_1218,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_1208,c_0_1209]) ).
cnf(c_0_1219,plain,
op1(e12,e11) != op1(e12,e10),
i_0_108 ).
cnf(c_0_1220,plain,
op1(e12,e11) = e13,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1210,c_0_1180]),c_0_1181]),c_0_1194]),c_0_1191]),c_0_1192]),c_0_1190]) ).
cnf(c_0_1221,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
i_0_45 ).
cnf(c_0_1222,plain,
op1(e11,e10) != e11,
inference(rw,[status(thm)],[c_0_1211,c_0_1181]) ).
cnf(c_0_1223,plain,
op1(e13,e10) != op1(e13,e12),
i_0_101 ).
cnf(c_0_1224,plain,
op1(e13,e12) = e11,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1212,c_0_1200]),c_0_1213]),c_0_1153]),c_0_1192]),c_0_1182]),c_0_1168]) ).
cnf(c_0_1225,plain,
op1(e10,e10) != op1(e13,e10),
i_0_142 ).
cnf(c_0_1226,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
i_0_89 ).
cnf(c_0_1227,plain,
op2(e23,e20) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1214,c_0_1205]),c_0_1177]) ).
cnf(c_0_1228,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_1215,c_0_1216]) ).
cnf(c_0_1229,plain,
op2(op2(e23,e22),e22) = h12(e11),
i_0_277 ).
cnf(c_0_1230,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
i_0_67 ).
cnf(c_0_1231,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
i_0_83 ).
cnf(c_0_1232,plain,
( op1(e12,e10) = e13
| op1(e11,e10) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1217,c_0_1164]),c_0_1190]),c_0_1218]) ).
cnf(c_0_1233,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_1219,c_0_1220]) ).
cnf(c_0_1234,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
i_0_19 ).
cnf(c_0_1235,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_1221,c_0_1164]),c_0_1182]),c_0_1222]) ).
cnf(c_0_1236,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_1223,c_0_1224]) ).
cnf(c_0_1237,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
i_0_4 ).
cnf(c_0_1238,plain,
op1(e13,e10) != e10,
inference(rw,[status(thm)],[c_0_1225,c_0_1164]) ).
cnf(c_0_1239,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
i_0_93 ).
cnf(c_0_1240,plain,
op2(e21,e20) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1226,c_0_1227]),c_0_1162]),c_0_1173]),c_0_1228]),c_0_1185]) ).
cnf(c_0_1241,negated_conjecture,
( h12(e12) != e23
| ~ epred12_0 ),
i_0_282 ).
cnf(c_0_1242,plain,
h12(e12) = e23,
i_0_280 ).
cnf(c_0_1243,plain,
( epred12_0
| h12(e10) != e21
| h12(e11) != e20
| h12(e13) != e22
| h12(op1(e10,e10)) != op2(h12(e10),h12(e10))
| h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
| h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
| h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
| h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
| h12(op1(e13,e13)) != op2(h12(e13),h12(e13)) ),
i_0_1077 ).
cnf(c_0_1244,plain,
op2(e23,e22) = h12(e10),
i_0_278 ).
cnf(c_0_1245,plain,
h12(e11) = op2(e21,e22),
inference(rw,[status(thm)],[c_0_1229,c_0_1175]) ).
cnf(c_0_1246,plain,
h12(e13) = e22,
i_0_279 ).
cnf(c_0_1247,plain,
op2(e21,e23) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1230,c_0_1155]),c_0_1145]),c_0_1149]),c_0_1173]),c_0_1177]),c_0_1158]) ).
cnf(c_0_1248,plain,
op2(e20,e21) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1231,c_0_1205]),c_0_1216]),c_0_1147]),c_0_1177]),c_0_1173]),c_0_1158]) ).
cnf(c_0_1249,plain,
op1(e11,e10) = e13,
inference(sr,[status(thm)],[c_0_1232,c_0_1233]) ).
cnf(c_0_1250,plain,
op1(e11,e13) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1234,c_0_1165]),c_0_1151]),c_0_1209]),c_0_1168]),c_0_1166]),c_0_1191]) ).
cnf(c_0_1251,plain,
op1(e12,e10) = e11,
inference(sr,[status(thm)],[c_0_1235,c_0_1236]) ).
cnf(c_0_1252,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_1237,c_0_1238]),c_0_1236]),c_0_1218]) ).
cnf(c_0_1253,plain,
op2(e22,e20) = e21,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1239,c_0_1227]),c_0_1240]),c_0_1162]),c_0_1158]),c_0_1206]),c_0_1176]) ).
cnf(c_0_1254,negated_conjecture,
~ epred12_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1241,c_0_1242])]) ).
cnf(c_0_1255,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1243,c_0_1244]),c_0_1175]),c_0_1245]),c_0_1188]),c_0_1246]),c_0_1244]),c_0_1175]),c_0_1244]),c_0_1175]),c_0_1147]),c_0_1164]),c_0_1244]),c_0_1175]),c_0_1244]),c_0_1175]),c_0_1245]),c_0_1188]),c_0_1240]),c_0_1180]),c_0_1242]),c_0_1244]),c_0_1175]),c_0_1242]),c_0_1247]),c_0_1200]),c_0_1246]),c_0_1244]),c_0_1175]),c_0_1246]),c_0_1188]),c_0_1165]),c_0_1245]),c_0_1188]),c_0_1245]),c_0_1188]),c_0_1244]),c_0_1175]),c_0_1248]),c_0_1249]),c_0_1246]),c_0_1245]),c_0_1188]),c_0_1245]),c_0_1188]),c_0_1162]),c_0_1181]),c_0_1245]),c_0_1188]),c_0_1245]),c_0_1188]),c_0_1242]),c_0_1149]),c_0_1213]),c_0_1244]),c_0_1175]),c_0_1245]),c_0_1188]),c_0_1246]),c_0_1198]),c_0_1250]),c_0_1242]),c_0_1242]),c_0_1244]),c_0_1175]),c_0_1205]),c_0_1251]),c_0_1245]),c_0_1188]),c_0_1242]),c_0_1245]),c_0_1188]),c_0_1227]),c_0_1220]),c_0_1246]),c_0_1242]),c_0_1242]),c_0_1155]),c_0_1153]),c_0_1242]),c_0_1242]),c_0_1246]),c_0_1175]),c_0_1151]),c_0_1244]),c_0_1175]),c_0_1246]),c_0_1244]),c_0_1175]),c_0_1216]),c_0_1252]),c_0_1242]),c_0_1246]),c_0_1245]),c_0_1188]),c_0_1253]),c_0_1194]),c_0_1244]),c_0_1175]),c_0_1246]),c_0_1242]),c_0_1145]),c_0_1224]),c_0_1245]),c_0_1188]),c_0_1246]),c_0_1246]),c_0_1157]),c_0_1209]),c_0_1246])]),c_0_1254]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG113+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 8 05:33:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 8.90/2.86 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.90/2.86 # No SInE strategy applied
% 8.90/2.86 # Trying AutoSched0 for 150 seconds
% 8.90/2.86 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S003I
% 8.90/2.86 # and selection function PSelectNegativeLiterals.
% 8.90/2.86 #
% 8.90/2.86 # Preprocessing time : 0.086 s
% 8.90/2.86 # Presaturation interreduction done
% 8.90/2.86
% 8.90/2.86 # Proof found!
% 8.90/2.86 # SZS status Theorem
% 8.90/2.86 # SZS output start CNFRefutation
% See solution above
% 8.90/2.86 # Training examples: 0 positive, 0 negative
% 8.90/2.86
% 8.90/2.86 # -------------------------------------------------
% 8.90/2.86 # User time : 0.136 s
% 8.90/2.86 # System time : 0.007 s
% 8.90/2.86 # Total time : 0.143 s
% 8.90/2.86 # Maximum resident set size: 7124 pages
% 8.90/2.86
%------------------------------------------------------------------------------