TSTP Solution File: TOP053-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n026.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 21 21:32:21 EDT 2022
% Result : Unsatisfiable 1.68s 0.75s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n026.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 : Sun May 29 14:36:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 24750: Facts:
% 0.13/0.34 24750: Id : 2, {_}: product ?2 ?2 =>= ?2 [2] by involutory_quandle ?2
% 0.13/0.34 24750: Id : 3, {_}:
% 0.13/0.34 product (product ?4 ?5) ?5 =>= ?4
% 0.13/0.34 [5, 4] by involutory_quandle_01 ?4 ?5
% 0.13/0.34 24750: Id : 4, {_}:
% 0.13/0.34 product (product ?7 ?8) ?9
% 0.13/0.34 =<=
% 0.13/0.34 product (product ?7 ?9) (product ?8 ?9)
% 0.13/0.34 [9, 8, 7] by involutory_quandle_02 ?7 ?8 ?9
% 0.13/0.34 24750: Id : 5, {_}: product a1 a2 =>= a3 [] by knot
% 0.13/0.34 24750: Id : 6, {_}: product a3 a4 =>= a5 [] by knot_03
% 0.13/0.34 24750: Id : 7, {_}: product a5 a6 =>= a7 [] by knot_04
% 0.13/0.35 24750: Id : 8, {_}: product a7 a3 =>= a8 [] by knot_05
% 0.13/0.35 24750: Id : 9, {_}: product a8 a2 =>= a9 [] by knot_06
% 0.13/0.35 24750: Id : 10, {_}: product a9 a1 =>= a10 [] by knot_07
% 0.13/0.35 24750: Id : 11, {_}: product a10 a11 =>= a12 [] by knot_08
% 0.13/0.35 24750: Id : 12, {_}: product a12 a3 =>= a13 [] by knot_09
% 0.13/0.35 24750: Id : 13, {_}: product a13 a8 =>= a6 [] by knot_10
% 0.13/0.35 24750: Id : 14, {_}: product a6 a7 =>= a2 [] by knot_11
% 0.13/0.35 24750: Id : 15, {_}: product a2 a12 =>= a14 [] by knot_12
% 0.13/0.35 24750: Id : 16, {_}: product a14 a3 =>= a15 [] by knot_13
% 0.13/0.35 24750: Id : 17, {_}: product a15 a8 =>= a4 [] by knot_14
% 0.13/0.35 24750: Id : 18, {_}: product a4 a7 =>= a11 [] by knot_15
% 0.13/0.35 24750: Id : 19, {_}: product a11 a10 =>= a1 [] by knot_16
% 0.13/0.35 24750: Goal:
% 0.13/0.35 24750: Id : 1, {_}:
% 0.13/0.35 tuple a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14
% 0.13/0.35 =<=
% 0.13/0.35 tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15
% 0.13/0.35 [] by goal
% 1.68/0.75 Statistics :
% 1.68/0.75 Max weight : 30
% 1.68/0.75 Found proof, 0.402328s
% 1.68/0.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/0.75 % SZS output start CNFRefutation for theBenchmark.p
% 1.68/0.75 Id : 11, {_}: product a10 a11 =>= a12 [] by knot_08
% 1.68/0.75 Id : 6, {_}: product a3 a4 =>= a5 [] by knot_03
% 1.68/0.75 Id : 10, {_}: product a9 a1 =>= a10 [] by knot_07
% 1.68/0.75 Id : 9, {_}: product a8 a2 =>= a9 [] by knot_06
% 1.68/0.75 Id : 19, {_}: product a11 a10 =>= a1 [] by knot_16
% 1.68/0.75 Id : 18, {_}: product a4 a7 =>= a11 [] by knot_15
% 1.68/0.75 Id : 17, {_}: product a15 a8 =>= a4 [] by knot_14
% 1.68/0.75 Id : 8, {_}: product a7 a3 =>= a8 [] by knot_05
% 1.68/0.75 Id : 16, {_}: product a14 a3 =>= a15 [] by knot_13
% 1.68/0.75 Id : 15, {_}: product a2 a12 =>= a14 [] by knot_12
% 1.68/0.75 Id : 12, {_}: product a12 a3 =>= a13 [] by knot_09
% 1.68/0.75 Id : 13, {_}: product a13 a8 =>= a6 [] by knot_10
% 1.68/0.75 Id : 14, {_}: product a6 a7 =>= a2 [] by knot_11
% 1.68/0.75 Id : 2, {_}: product ?2 ?2 =>= ?2 [2] by involutory_quandle ?2
% 1.68/0.75 Id : 7, {_}: product a5 a6 =>= a7 [] by knot_04
% 1.68/0.75 Id : 4, {_}: product (product ?7 ?8) ?9 =<= product (product ?7 ?9) (product ?8 ?9) [9, 8, 7] by involutory_quandle_02 ?7 ?8 ?9
% 1.68/0.75 Id : 5, {_}: product a1 a2 =>= a3 [] by knot
% 1.68/0.75 Id : 3, {_}: product (product ?4 ?5) ?5 =>= ?4 [5, 4] by involutory_quandle_01 ?4 ?5
% 1.68/0.75 Id : 42, {_}: product a3 a2 =>= a1 [] by Super 3 with 5 at 1,2
% 1.68/0.75 Id : 431, {_}: product (product ?517 a5) a6 =<= product (product ?517 a6) a7 [517] by Super 4 with 7 at 2,3
% 1.68/0.75 Id : 432, {_}: product (product a6 a5) a6 =>= product a6 a7 [] by Super 431 with 2 at 1,3
% 1.68/0.75 Id : 439, {_}: product (product a6 a5) a6 =>= a2 [] by Demod 432 with 14 at 3
% 1.68/0.75 Id : 453, {_}: product a2 a6 =<= product a6 a5 [] by Super 3 with 439 at 1,2
% 1.68/0.75 Id : 465, {_}: product (product a2 a6) a5 =>= a6 [] by Super 3 with 453 at 1,2
% 1.68/0.75 Id : 964, {_}: product (product ?984 a13) a8 =>= product (product ?984 a8) a6 [984] by Super 4 with 13 at 2,3
% 1.68/0.75 Id : 862, {_}: product (product ?900 a12) a3 =>= product (product ?900 a3) a13 [900] by Super 4 with 12 at 2,3
% 1.68/0.75 Id : 92, {_}: product a14 a12 =>= a2 [] by Super 3 with 15 at 1,2
% 1.68/0.75 Id : 866, {_}: product a2 a3 =<= product (product a14 a3) a13 [] by Super 862 with 92 at 1,2
% 1.68/0.75 Id : 879, {_}: product a2 a3 =<= product a15 a13 [] by Demod 866 with 16 at 1,3
% 1.68/0.75 Id : 969, {_}: product (product a2 a3) a8 =<= product (product a15 a8) a6 [] by Super 964 with 879 at 1,2
% 1.68/0.75 Id : 518, {_}: product (product ?599 a7) a3 =>= product (product ?599 a3) a8 [599] by Super 4 with 8 at 2,3
% 1.68/0.75 Id : 89, {_}: product a2 a7 =>= a6 [] by Super 3 with 14 at 1,2
% 1.68/0.75 Id : 523, {_}: product a6 a3 =<= product (product a2 a3) a8 [] by Super 518 with 89 at 1,2
% 1.68/0.75 Id : 979, {_}: product a6 a3 =<= product (product a15 a8) a6 [] by Demod 969 with 523 at 2
% 1.68/0.75 Id : 980, {_}: product a6 a3 =>= product a4 a6 [] by Demod 979 with 17 at 1,3
% 1.68/0.75 Id : 987, {_}: product (product a4 a6) a3 =>= a6 [] by Super 3 with 980 at 1,2
% 1.68/0.75 Id : 53, {_}: product (product ?97 a5) a6 =<= product (product ?97 a6) a7 [97] by Super 4 with 7 at 2,3
% 1.68/0.75 Id : 87, {_}: product (product ?145 a6) a7 =<= product (product ?145 a7) a2 [145] by Super 4 with 14 at 2,3
% 1.68/0.75 Id : 1054, {_}: product (product ?1057 a5) a6 =<= product (product ?1057 a7) a2 [1057] by Demod 87 with 53 at 2
% 1.68/0.75 Id : 1058, {_}: product (product a4 a5) a6 =>= product a11 a2 [] by Super 1054 with 18 at 1,3
% 1.68/0.75 Id : 312, {_}: product (product a1 ?402) a2 =>= product a3 (product ?402 a2) [402] by Super 4 with 5 at 1,3
% 1.68/0.75 Id : 112, {_}: product a1 a10 =>= a11 [] by Super 3 with 19 at 1,2
% 1.68/0.75 Id : 315, {_}: product a11 a2 =<= product a3 (product a10 a2) [] by Super 312 with 112 at 1,2
% 1.68/0.75 Id : 210, {_}: product (product ?300 a1) a2 =<= product (product ?300 a2) a3 [300] by Super 4 with 5 at 2,3
% 1.68/0.75 Id : 62, {_}: product a9 a2 =>= a8 [] by Super 3 with 9 at 1,2
% 1.68/0.75 Id : 216, {_}: product (product a9 a1) a2 =>= product a8 a3 [] by Super 210 with 62 at 1,3
% 1.68/0.75 Id : 223, {_}: product a10 a2 =>= product a8 a3 [] by Demod 216 with 10 at 1,2
% 1.68/0.75 Id : 59, {_}: product a8 a3 =>= a7 [] by Super 3 with 8 at 1,2
% 1.68/0.75 Id : 224, {_}: product a10 a2 =>= a7 [] by Demod 223 with 59 at 3
% 1.68/0.75 Id : 326, {_}: product a11 a2 =>= product a3 a7 [] by Demod 315 with 224 at 2,3
% 1.68/0.75 Id : 1072, {_}: product (product a4 a5) a6 =>= product a3 a7 [] by Demod 1058 with 326 at 3
% 1.68/0.75 Id : 1138, {_}: product (product (product a4 a5) a5) a6 =>= product (product a3 a7) a7 [] by Super 53 with 1072 at 1,3
% 1.68/0.75 Id : 1141, {_}: product a4 a6 =<= product (product a3 a7) a7 [] by Demod 1138 with 3 at 1,2
% 1.68/0.75 Id : 1142, {_}: product a4 a6 =>= a3 [] by Demod 1141 with 3 at 3
% 1.68/0.75 Id : 1149, {_}: product a3 a3 =>= a6 [] by Demod 987 with 1142 at 1,2
% 1.68/0.75 Id : 1150, {_}: a3 =<= a6 [] by Demod 1149 with 2 at 2
% 1.68/0.75 Id : 1173, {_}: product (product a2 a3) a5 =>= a6 [] by Demod 465 with 1150 at 2,1,2
% 1.68/0.75 Id : 1174, {_}: product (product a2 a3) a5 =>= a3 [] by Demod 1173 with 1150 at 3
% 1.68/0.75 Id : 52, {_}: product a7 a6 =>= a5 [] by Super 3 with 7 at 1,2
% 1.68/0.75 Id : 1169, {_}: product a7 a3 =>= a5 [] by Demod 52 with 1150 at 2,2
% 1.68/0.75 Id : 1210, {_}: a8 =>= a5 [] by Demod 1169 with 8 at 2
% 1.68/0.75 Id : 1223, {_}: product a15 a5 =>= a4 [] by Demod 17 with 1210 at 2,2
% 1.68/0.75 Id : 102, {_}: product a4 a8 =>= a15 [] by Super 3 with 17 at 1,2
% 1.68/0.75 Id : 1219, {_}: product a4 a5 =>= a15 [] by Demod 102 with 1210 at 2,2
% 1.68/0.75 Id : 354, {_}: product (product ?442 a3) a4 =<= product (product ?442 a4) a5 [442] by Super 4 with 6 at 2,3
% 1.68/0.75 Id : 355, {_}: product (product a4 a3) a4 =>= product a4 a5 [] by Super 354 with 2 at 1,3
% 1.68/0.75 Id : 1181, {_}: product a4 a3 =>= a3 [] by Demod 1142 with 1150 at 2,2
% 1.68/0.75 Id : 1184, {_}: product a3 a4 =<= product a4 a5 [] by Demod 355 with 1181 at 1,2
% 1.68/0.75 Id : 1186, {_}: a5 =<= product a4 a5 [] by Demod 1184 with 6 at 2
% 1.68/0.75 Id : 1235, {_}: a5 =<= a15 [] by Demod 1219 with 1186 at 2
% 1.68/0.75 Id : 1242, {_}: product a5 a5 =>= a4 [] by Demod 1223 with 1235 at 1,2
% 1.68/0.75 Id : 1243, {_}: a5 =>= a4 [] by Demod 1242 with 2 at 2
% 1.68/0.75 Id : 1260, {_}: product (product a2 a3) a4 =>= a3 [] by Demod 1174 with 1243 at 2,2
% 1.68/0.75 Id : 77, {_}: product (product ?131 a12) a3 =>= product (product ?131 a3) a13 [131] by Super 4 with 12 at 2,3
% 1.68/0.75 Id : 43, {_}: product (product ?83 a1) a2 =<= product (product ?83 a2) a3 [83] by Super 4 with 5 at 2,3
% 1.68/0.75 Id : 227, {_}: product a7 a2 =>= a10 [] by Super 3 with 224 at 1,2
% 1.68/0.75 Id : 234, {_}: product (product a7 a1) a2 =>= product a10 a3 [] by Super 43 with 227 at 1,3
% 1.68/0.75 Id : 906, {_}: product (product a12 ?946) a3 =>= product a13 (product ?946 a3) [946] by Super 4 with 12 at 1,3
% 1.68/0.75 Id : 72, {_}: product a12 a11 =>= a10 [] by Super 3 with 11 at 1,2
% 1.68/0.75 Id : 909, {_}: product a10 a3 =<= product a13 (product a11 a3) [] by Super 906 with 72 at 1,2
% 1.68/0.75 Id : 522, {_}: product a11 a3 =<= product (product a4 a3) a8 [] by Super 518 with 18 at 1,2
% 1.68/0.75 Id : 1183, {_}: product a11 a3 =>= product a3 a8 [] by Demod 522 with 1181 at 1,3
% 1.68/0.75 Id : 1190, {_}: product a10 a3 =<= product a13 (product a3 a8) [] by Demod 909 with 1183 at 2,3
% 1.68/0.75 Id : 82, {_}: product a6 a8 =>= a13 [] by Super 3 with 13 at 1,2
% 1.68/0.75 Id : 1170, {_}: product a3 a8 =>= a13 [] by Demod 82 with 1150 at 1,2
% 1.68/0.75 Id : 1200, {_}: product a10 a3 =<= product a13 a13 [] by Demod 1190 with 1170 at 2,3
% 1.68/0.75 Id : 1205, {_}: product a10 a3 =>= a13 [] by Demod 1200 with 2 at 3
% 1.68/0.75 Id : 1209, {_}: product (product a7 a1) a2 =>= a13 [] by Demod 234 with 1205 at 3
% 1.68/0.75 Id : 69, {_}: product a10 a1 =>= a9 [] by Super 3 with 10 at 1,2
% 1.68/0.75 Id : 1055, {_}: product (product a7 a5) a6 =>= product a7 a2 [] by Super 1054 with 2 at 1,3
% 1.68/0.75 Id : 435, {_}: product (product a7 a5) a6 =>= product a5 a7 [] by Super 431 with 52 at 1,3
% 1.68/0.75 Id : 1067, {_}: product a5 a7 =<= product a7 a2 [] by Demod 1055 with 435 at 2
% 1.68/0.75 Id : 1068, {_}: product a5 a7 =>= a10 [] by Demod 1067 with 227 at 3
% 1.68/0.75 Id : 1257, {_}: product a4 a7 =>= a10 [] by Demod 1068 with 1243 at 1,2
% 1.68/0.75 Id : 1267, {_}: a11 =>= a10 [] by Demod 1257 with 18 at 2
% 1.68/0.75 Id : 1282, {_}: product a12 a10 =>= a10 [] by Demod 72 with 1267 at 2,2
% 1.68/0.75 Id : 824, {_}: product (product a10 ?867) a11 =>= product a12 (product ?867 a11) [867] by Super 4 with 11 at 1,3
% 1.68/0.75 Id : 827, {_}: product a9 a11 =<= product a12 (product a1 a11) [] by Super 824 with 69 at 1,2
% 1.68/0.75 Id : 1286, {_}: product a9 a10 =<= product a12 (product a1 a11) [] by Demod 827 with 1267 at 2,2
% 1.68/0.75 Id : 1287, {_}: product a9 a10 =<= product a12 (product a1 a10) [] by Demod 1286 with 1267 at 2,2,3
% 1.68/0.75 Id : 64, {_}: product (product a8 ?113) a2 =>= product a9 (product ?113 a2) [113] by Super 4 with 9 at 1,3
% 1.68/0.75 Id : 1046, {_}: product (product ?145 a5) a6 =<= product (product ?145 a7) a2 [145] by Demod 87 with 53 at 2
% 1.68/0.75 Id : 1053, {_}: product (product a8 a5) a6 =>= product a9 (product a7 a2) [] by Super 64 with 1046 at 2
% 1.68/0.75 Id : 1065, {_}: product (product a8 a5) a6 =>= product a9 a10 [] by Demod 1053 with 227 at 2,3
% 1.68/0.75 Id : 1179, {_}: product (product a8 a5) a3 =>= product a9 a10 [] by Demod 1065 with 1150 at 2,2
% 1.68/0.75 Id : 1227, {_}: product (product a5 a5) a3 =>= product a9 a10 [] by Demod 1179 with 1210 at 1,1,2
% 1.68/0.75 Id : 1229, {_}: product a5 a3 =<= product a9 a10 [] by Demod 1227 with 2 at 1,2
% 1.68/0.75 Id : 1180, {_}: product (product a4 a5) a3 =>= product a3 a7 [] by Demod 1072 with 1150 at 2,2
% 1.68/0.75 Id : 1193, {_}: product a5 a3 =>= product a3 a7 [] by Demod 1180 with 1186 at 1,2
% 1.68/0.75 Id : 1230, {_}: product a3 a7 =<= product a9 a10 [] by Demod 1229 with 1193 at 2
% 1.68/0.75 Id : 1224, {_}: product a5 a3 =>= a7 [] by Demod 59 with 1210 at 1,2
% 1.68/0.75 Id : 1231, {_}: product a3 a7 =>= a7 [] by Demod 1224 with 1193 at 2
% 1.68/0.75 Id : 1232, {_}: a7 =<= product a9 a10 [] by Demod 1230 with 1231 at 2
% 1.68/0.75 Id : 1290, {_}: a7 =<= product a12 (product a1 a10) [] by Demod 1287 with 1232 at 2
% 1.68/0.75 Id : 1283, {_}: product a1 a10 =>= a10 [] by Demod 112 with 1267 at 3
% 1.68/0.75 Id : 1292, {_}: a7 =<= product a12 a10 [] by Demod 1290 with 1283 at 2,3
% 1.68/0.75 Id : 1293, {_}: a7 =<= a10 [] by Demod 1282 with 1292 at 2
% 1.68/0.75 Id : 1301, {_}: product a7 a1 =>= a9 [] by Demod 69 with 1293 at 1,2
% 1.68/0.75 Id : 1310, {_}: product a9 a2 =>= a13 [] by Demod 1209 with 1301 at 1,2
% 1.68/0.75 Id : 1220, {_}: product a9 a2 =>= a5 [] by Demod 62 with 1210 at 3
% 1.68/0.75 Id : 1265, {_}: product a9 a2 =>= a4 [] by Demod 1220 with 1243 at 3
% 1.68/0.75 Id : 1311, {_}: a4 =<= a13 [] by Demod 1310 with 1265 at 2
% 1.68/0.75 Id : 1316, {_}: product (product ?131 a12) a3 =>= product (product ?131 a3) a4 [131] by Demod 77 with 1311 at 2,3
% 1.68/0.75 Id : 79, {_}: product a13 a3 =>= a12 [] by Super 3 with 12 at 1,2
% 1.68/0.75 Id : 1314, {_}: product a4 a3 =>= a12 [] by Demod 79 with 1311 at 1,2
% 1.68/0.75 Id : 1318, {_}: a3 =<= a12 [] by Demod 1314 with 1181 at 2
% 1.68/0.75 Id : 1324, {_}: product (product ?131 a3) a3 =<= product (product ?131 a3) a4 [131] by Demod 1316 with 1318 at 2,1,2
% 1.68/0.75 Id : 1325, {_}: ?131 =<= product (product ?131 a3) a4 [131] by Demod 1324 with 3 at 2
% 1.68/0.75 Id : 1326, {_}: a2 =<= a3 [] by Demod 1260 with 1325 at 2
% 1.68/0.75 Id : 1330, {_}: product a2 a2 =>= a1 [] by Demod 42 with 1326 at 1,2
% 1.68/0.75 Id : 1384, {_}: a2 =>= a1 [] by Demod 1330 with 2 at 2
% 1.68/0.75 Id : 1393, {_}: a1 =<= a3 [] by Demod 1326 with 1384 at 2
% 1.68/0.75 Id : 1341, {_}: product a4 a2 =>= a3 [] by Demod 1181 with 1326 at 2,2
% 1.68/0.75 Id : 1342, {_}: product a4 a2 =>= a2 [] by Demod 1341 with 1326 at 3
% 1.68/0.75 Id : 1222, {_}: product a5 a2 =>= a9 [] by Demod 9 with 1210 at 1,2
% 1.68/0.75 Id : 1264, {_}: product a4 a2 =>= a9 [] by Demod 1222 with 1243 at 1,2
% 1.68/0.75 Id : 1343, {_}: a9 =>= a2 [] by Demod 1342 with 1264 at 2
% 1.68/0.75 Id : 1346, {_}: product a2 a2 =>= a4 [] by Demod 1265 with 1343 at 1,2
% 1.68/0.75 Id : 1349, {_}: a2 =<= a4 [] by Demod 1346 with 2 at 2
% 1.68/0.75 Id : 1394, {_}: a1 =<= a4 [] by Demod 1349 with 1384 at 2
% 1.68/0.75 Id : 1352, {_}: a5 =>= a2 [] by Demod 1243 with 1349 at 3
% 1.68/0.75 Id : 1395, {_}: a5 =>= a1 [] by Demod 1352 with 1384 at 3
% 1.68/0.75 Id : 1336, {_}: a2 =<= a6 [] by Demod 1150 with 1326 at 2
% 1.68/0.75 Id : 1387, {_}: a1 =<= a6 [] by Demod 1336 with 1384 at 2
% 1.68/0.75 Id : 214, {_}: product (product a8 a1) a2 =>= product a9 a3 [] by Super 210 with 9 at 1,3
% 1.68/0.75 Id : 251, {_}: product (product a9 a3) a2 =>= product a8 a1 [] by Super 3 with 214 at 1,2
% 1.68/0.75 Id : 1225, {_}: product (product a9 a3) a2 =>= product a5 a1 [] by Demod 251 with 1210 at 1,3
% 1.68/0.75 Id : 1263, {_}: product (product a9 a3) a2 =>= product a4 a1 [] by Demod 1225 with 1243 at 1,3
% 1.68/0.75 Id : 1338, {_}: product (product a9 a2) a2 =>= product a4 a1 [] by Demod 1263 with 1326 at 2,1,2
% 1.68/0.75 Id : 1359, {_}: a9 =<= product a4 a1 [] by Demod 1338 with 3 at 2
% 1.68/0.75 Id : 1360, {_}: a9 =<= product a2 a1 [] by Demod 1359 with 1349 at 1,3
% 1.68/0.75 Id : 1361, {_}: a2 =<= product a2 a1 [] by Demod 1360 with 1343 at 2
% 1.68/0.75 Id : 1302, {_}: product a9 a1 =>= a7 [] by Demod 10 with 1293 at 3
% 1.68/0.75 Id : 1344, {_}: product a2 a1 =>= a7 [] by Demod 1302 with 1343 at 1,2
% 1.68/0.75 Id : 1362, {_}: a2 =<= a7 [] by Demod 1361 with 1344 at 3
% 1.68/0.75 Id : 1397, {_}: a1 =<= a7 [] by Demod 1362 with 1384 at 2
% 1.68/0.75 Id : 1262, {_}: a8 =>= a4 [] by Demod 1210 with 1243 at 3
% 1.68/0.75 Id : 1353, {_}: a8 =>= a2 [] by Demod 1262 with 1349 at 3
% 1.68/0.75 Id : 1392, {_}: a8 =>= a1 [] by Demod 1353 with 1384 at 3
% 1.68/0.75 Id : 1404, {_}: a9 =>= a1 [] by Demod 1343 with 1384 at 3
% 1.68/0.75 Id : 1366, {_}: a2 =<= a10 [] by Demod 1293 with 1362 at 2
% 1.68/0.75 Id : 1388, {_}: a1 =<= a10 [] by Demod 1366 with 1384 at 2
% 1.68/0.75 Id : 1306, {_}: a11 =>= a7 [] by Demod 1267 with 1293 at 3
% 1.68/0.75 Id : 1365, {_}: a11 =>= a2 [] by Demod 1306 with 1362 at 3
% 1.68/0.75 Id : 1400, {_}: a11 =>= a1 [] by Demod 1365 with 1384 at 3
% 1.68/0.75 Id : 1340, {_}: a2 =<= a12 [] by Demod 1318 with 1326 at 2
% 1.68/0.75 Id : 1396, {_}: a1 =<= a12 [] by Demod 1340 with 1384 at 2
% 1.68/0.75 Id : 1351, {_}: a2 =<= a13 [] by Demod 1311 with 1349 at 2
% 1.68/0.75 Id : 1391, {_}: a1 =<= a13 [] by Demod 1351 with 1384 at 2
% 1.68/0.75 Id : 1322, {_}: product a2 a3 =>= a14 [] by Demod 15 with 1318 at 2,2
% 1.68/0.75 Id : 1418, {_}: product a1 a3 =>= a14 [] by Demod 1322 with 1384 at 1,2
% 1.68/0.75 Id : 1419, {_}: product a1 a1 =>= a14 [] by Demod 1418 with 1393 at 2,2
% 1.68/0.75 Id : 1420, {_}: a1 =<= a14 [] by Demod 1419 with 2 at 2
% 1.68/0.75 Id : 1244, {_}: a4 =<= a15 [] by Demod 1235 with 1243 at 2
% 1.68/0.75 Id : 1577, {_}: a1 =<= a15 [] by Demod 1244 with 1394 at 2
% 1.68/0.75 Id : 1798, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 === tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 [] by Demod 1797 with 1577 at 14,3
% 1.68/0.75 Id : 1797, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a15 [] by Demod 1796 with 1420 at 13,3
% 1.68/0.75 Id : 1796, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a14 a15 [] by Demod 1795 with 1391 at 12,3
% 1.68/0.75 Id : 1795, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a13 a14 a15 [] by Demod 1794 with 1396 at 11,3
% 1.68/0.75 Id : 1794, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a12 a13 a14 a15 [] by Demod 1793 with 1400 at 10,3
% 1.68/0.75 Id : 1793, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a11 a12 a13 a14 a15 [] by Demod 1792 with 1388 at 9,3
% 1.68/0.75 Id : 1792, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a10 a11 a12 a13 a14 a15 [] by Demod 1791 with 1404 at 8,3
% 1.68/0.75 Id : 1791, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1790 with 1392 at 7,3
% 1.68/0.75 Id : 1790, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1789 with 1397 at 6,3
% 1.68/0.75 Id : 1789, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1788 with 1387 at 5,3
% 1.68/0.75 Id : 1788, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1787 with 1395 at 4,3
% 1.68/0.75 Id : 1787, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1786 with 1394 at 3,3
% 1.68/0.75 Id : 1786, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1785 with 1393 at 2,3
% 1.68/0.75 Id : 1785, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1784 with 1384 at 1,3
% 1.68/0.75 Id : 1784, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1783 with 1420 at 14,2
% 1.68/0.75 Id : 1783, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1782 with 1391 at 13,2
% 1.68/0.75 Id : 1782, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1781 with 1396 at 12,2
% 1.68/0.75 Id : 1781, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1780 with 1400 at 11,2
% 1.68/0.75 Id : 1780, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a1 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1779 with 1388 at 10,2
% 1.68/0.75 Id : 1779, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1778 with 1404 at 9,2
% 1.68/0.75 Id : 1778, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1777 with 1392 at 8,2
% 1.68/0.75 Id : 1777, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1776 with 1397 at 7,2
% 1.68/0.75 Id : 1776, {_}: tuple a1 a1 a1 a1 a1 a1 a7 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1775 with 1387 at 6,2
% 1.68/0.75 Id : 1775, {_}: tuple a1 a1 a1 a1 a1 a6 a7 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1774 with 1395 at 5,2
% 1.68/0.75 Id : 1774, {_}: tuple a1 a1 a1 a1 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1773 with 1394 at 4,2
% 1.68/0.75 Id : 1773, {_}: tuple a1 a1 a1 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1772 with 1393 at 3,2
% 1.68/0.75 Id : 1772, {_}: tuple a1 a1 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by Demod 1 with 1384 at 2,2
% 1.68/0.75 Id : 1, {_}: tuple a1 a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 =<= tuple a2 a3 a4 a5 a6 a7 a8 a9 a10 a11 a12 a13 a14 a15 [] by goal
% 1.68/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 1.68/0.75 24753: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.408008 using nrkbo
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