TSTP Solution File: GRP203-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n014.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 : Sat Jul 16 10:29:36 EDT 2022
% Result : Unsatisfiable 17.32s 4.63s
% Output : CNFRefutation 17.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP203-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n014.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 : Tue Jun 14 11:34:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 18124: Facts:
% 0.12/0.33 18124: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.33 18124: Id : 3, {_}:
% 0.12/0.33 multiply (left_inverse ?4) ?4 =>= identity
% 0.12/0.33 [4] by left_inverse ?4
% 0.12/0.33 18124: Id : 4, {_}:
% 0.12/0.33 multiply (multiply (multiply ?6 ?7) ?6) ?8
% 0.12/0.33 =?=
% 0.12/0.33 multiply ?6 (multiply ?7 (multiply ?6 ?8))
% 0.12/0.33 [8, 7, 6] by moufang3 ?6 ?7 ?8
% 0.12/0.33 18124: Goal:
% 0.12/0.34 18124: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (multiply a b) c) b
% 0.12/0.34 =>=
% 0.12/0.34 multiply a (multiply b (multiply c b))
% 0.12/0.34 [] by prove_moufang2
% 17.32/4.63 Statistics :
% 17.32/4.63 Max weight : 20
% 17.32/4.63 Found proof, 4.300352s
% 17.32/4.63 % SZS status Unsatisfiable for theBenchmark.p
% 17.32/4.63 % SZS output start CNFRefutation for theBenchmark.p
% 17.32/4.63 Id : 3, {_}: multiply (left_inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 17.32/4.63 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 17.32/4.63 Id : 9, {_}: multiply (multiply (multiply ?17 ?18) ?17) ?19 =>= multiply ?17 (multiply ?18 (multiply ?17 ?19)) [19, 18, 17] by moufang3 ?17 ?18 ?19
% 17.32/4.63 Id : 4, {_}: multiply (multiply (multiply ?6 ?7) ?6) ?8 =>= multiply ?6 (multiply ?7 (multiply ?6 ?8)) [8, 7, 6] by moufang3 ?6 ?7 ?8
% 17.32/4.63 Id : 10, {_}: multiply (multiply ?21 identity) ?22 =<= multiply identity (multiply ?21 (multiply identity ?22)) [22, 21] by Super 9 with 2 at 1,1,2
% 17.32/4.63 Id : 15, {_}: multiply (multiply ?21 identity) ?22 =>= multiply ?21 (multiply identity ?22) [22, 21] by Demod 10 with 2 at 3
% 17.32/4.63 Id : 32, {_}: multiply (multiply ?59 identity) ?60 =>= multiply ?59 ?60 [60, 59] by Demod 15 with 2 at 2,3
% 17.32/4.63 Id : 37, {_}: multiply (multiply ?72 (multiply ?73 (multiply ?72 identity))) ?74 =>= multiply (multiply (multiply ?72 ?73) ?72) ?74 [74, 73, 72] by Super 32 with 4 at 1,2
% 17.32/4.63 Id : 1267, {_}: multiply (multiply ?1310 (multiply ?1311 (multiply ?1310 identity))) ?1312 =>= multiply ?1310 (multiply ?1311 (multiply ?1310 ?1312)) [1312, 1311, 1310] by Demod 37 with 4 at 3
% 17.32/4.64 Id : 1282, {_}: multiply (multiply ?1373 identity) ?1374 =<= multiply ?1373 (multiply (left_inverse (multiply ?1373 identity)) (multiply ?1373 ?1374)) [1374, 1373] by Super 1267 with 3 at 2,1,2
% 17.32/4.64 Id : 16, {_}: multiply (multiply ?21 identity) ?22 =>= multiply ?21 ?22 [22, 21] by Demod 15 with 2 at 2,3
% 17.32/4.64 Id : 1415, {_}: multiply ?1373 ?1374 =<= multiply ?1373 (multiply (left_inverse (multiply ?1373 identity)) (multiply ?1373 ?1374)) [1374, 1373] by Demod 1282 with 16 at 2
% 17.32/4.64 Id : 11, {_}: multiply (multiply identity (left_inverse ?24)) ?25 =<= multiply (left_inverse ?24) (multiply ?24 (multiply (left_inverse ?24) ?25)) [25, 24] by Super 9 with 3 at 1,1,2
% 17.32/4.64 Id : 17, {_}: multiply (left_inverse ?24) ?25 =<= multiply (left_inverse ?24) (multiply ?24 (multiply (left_inverse ?24) ?25)) [25, 24] by Demod 11 with 2 at 1,2
% 17.32/4.64 Id : 30, {_}: multiply (multiply ?53 ?53) ?54 =<= multiply ?53 (multiply identity (multiply ?53 ?54)) [54, 53] by Super 4 with 16 at 1,2
% 17.32/4.64 Id : 43, {_}: multiply (multiply ?53 ?53) ?54 =>= multiply ?53 (multiply ?53 ?54) [54, 53] by Demod 30 with 2 at 2,3
% 17.32/4.64 Id : 1288, {_}: multiply (multiply ?1401 (multiply ?1402 (multiply ?1402 (multiply ?1401 identity)))) ?1403 =>= multiply ?1401 (multiply (multiply ?1402 ?1402) (multiply ?1401 ?1403)) [1403, 1402, 1401] by Super 1267 with 43 at 2,1,2
% 17.32/4.64 Id : 6622, {_}: multiply (multiply ?6132 (multiply ?6133 (multiply ?6133 (multiply ?6132 identity)))) ?6134 =>= multiply ?6132 (multiply ?6133 (multiply ?6133 (multiply ?6132 ?6134))) [6134, 6133, 6132] by Demod 1288 with 43 at 2,3
% 17.32/4.64 Id : 244, {_}: multiply (left_inverse ?271) ?272 =<= multiply (left_inverse ?271) (multiply ?271 (multiply (left_inverse ?271) ?272)) [272, 271] by Demod 11 with 2 at 1,2
% 17.32/4.64 Id : 245, {_}: multiply (left_inverse ?274) ?274 =<= multiply (left_inverse ?274) (multiply ?274 identity) [274] by Super 244 with 3 at 2,2,3
% 17.32/4.64 Id : 268, {_}: identity =<= multiply (left_inverse ?274) (multiply ?274 identity) [274] by Demod 245 with 3 at 2
% 17.32/4.64 Id : 6660, {_}: multiply (multiply ?6301 (multiply (left_inverse ?6301) identity)) ?6302 =<= multiply ?6301 (multiply (left_inverse ?6301) (multiply (left_inverse ?6301) (multiply ?6301 ?6302))) [6302, 6301] by Super 6622 with 268 at 2,2,1,2
% 17.32/4.64 Id : 7176, {_}: multiply (left_inverse ?6543) (multiply (left_inverse (left_inverse ?6543)) (multiply (left_inverse (left_inverse ?6543)) (multiply (left_inverse ?6543) ?6544))) =>= multiply (left_inverse ?6543) (multiply ?6543 (multiply (multiply (left_inverse ?6543) (multiply (left_inverse (left_inverse ?6543)) identity)) ?6544)) [6544, 6543] by Super 17 with 6660 at 2,2,3
% 17.32/4.64 Id : 7260, {_}: multiply (multiply (left_inverse ?6543) (multiply (left_inverse (left_inverse ?6543)) identity)) ?6544 =<= multiply (left_inverse ?6543) (multiply ?6543 (multiply (multiply (left_inverse ?6543) (multiply (left_inverse (left_inverse ?6543)) identity)) ?6544)) [6544, 6543] by Demod 7176 with 6660 at 2
% 17.32/4.64 Id : 1292, {_}: multiply (multiply ?1418 identity) ?1419 =<= multiply ?1418 (multiply (left_inverse ?1418) (multiply ?1418 ?1419)) [1419, 1418] by Super 1267 with 268 at 2,1,2
% 17.32/4.64 Id : 1482, {_}: multiply ?1550 ?1551 =<= multiply ?1550 (multiply (left_inverse ?1550) (multiply ?1550 ?1551)) [1551, 1550] by Demod 1292 with 16 at 2
% 17.32/4.64 Id : 1484, {_}: multiply (left_inverse ?1555) ?1555 =<= multiply (left_inverse ?1555) (multiply (left_inverse (left_inverse ?1555)) identity) [1555] by Super 1482 with 3 at 2,2,3
% 17.32/4.64 Id : 1553, {_}: identity =<= multiply (left_inverse ?1555) (multiply (left_inverse (left_inverse ?1555)) identity) [1555] by Demod 1484 with 3 at 2
% 17.32/4.64 Id : 7261, {_}: multiply (multiply (left_inverse ?6543) (multiply (left_inverse (left_inverse ?6543)) identity)) ?6544 =>= multiply (left_inverse ?6543) (multiply ?6543 (multiply identity ?6544)) [6544, 6543] by Demod 7260 with 1553 at 1,2,2,3
% 17.32/4.64 Id : 7262, {_}: multiply identity ?6544 =<= multiply (left_inverse ?6543) (multiply ?6543 (multiply identity ?6544)) [6543, 6544] by Demod 7261 with 1553 at 1,2
% 17.32/4.64 Id : 7263, {_}: multiply identity ?6544 =<= multiply (left_inverse ?6543) (multiply ?6543 ?6544) [6543, 6544] by Demod 7262 with 2 at 2,2,3
% 17.32/4.64 Id : 7264, {_}: ?6544 =<= multiply (left_inverse ?6543) (multiply ?6543 ?6544) [6543, 6544] by Demod 7263 with 2 at 2
% 17.32/4.64 Id : 7436, {_}: multiply (left_inverse ?6834) (multiply ?6834 ?6835) =<= multiply (left_inverse ?6834) (multiply (left_inverse (multiply (left_inverse ?6834) identity)) ?6835) [6835, 6834] by Super 1415 with 7264 at 2,2,3
% 17.32/4.64 Id : 7486, {_}: ?6835 =<= multiply (left_inverse ?6834) (multiply (left_inverse (multiply (left_inverse ?6834) identity)) ?6835) [6834, 6835] by Demod 7436 with 7264 at 2
% 17.32/4.64 Id : 7925, {_}: multiply (left_inverse (multiply (left_inverse ?7347) identity)) ?7348 =>= multiply (left_inverse (left_inverse ?7347)) ?7348 [7348, 7347] by Super 7264 with 7486 at 2,3
% 17.32/4.64 Id : 8006, {_}: ?6835 =<= multiply (left_inverse ?6834) (multiply (left_inverse (left_inverse ?6834)) ?6835) [6834, 6835] by Demod 7486 with 7925 at 2,3
% 17.32/4.64 Id : 7926, {_}: ?7350 =<= multiply (left_inverse ?7351) (multiply (left_inverse (multiply (left_inverse ?7351) identity)) ?7350) [7351, 7350] by Demod 7436 with 7264 at 2
% 17.32/4.64 Id : 7940, {_}: multiply (left_inverse (left_inverse (multiply (left_inverse ?7386) identity))) identity =>= multiply (left_inverse ?7386) identity [7386] by Super 7926 with 1553 at 2,3
% 17.32/4.64 Id : 8393, {_}: multiply (multiply (left_inverse ?7727) identity) ?7728 =<= multiply (left_inverse (left_inverse (multiply (left_inverse ?7727) identity))) ?7728 [7728, 7727] by Super 16 with 7940 at 1,2
% 17.32/4.64 Id : 8442, {_}: multiply (left_inverse ?7727) ?7728 =<= multiply (left_inverse (left_inverse (multiply (left_inverse ?7727) identity))) ?7728 [7728, 7727] by Demod 8393 with 16 at 2
% 17.32/4.64 Id : 8076, {_}: multiply (left_inverse (multiply (left_inverse ?7642) identity)) ?7643 =>= multiply (left_inverse (left_inverse ?7642)) ?7643 [7643, 7642] by Super 7264 with 7486 at 2,3
% 17.32/4.64 Id : 8082, {_}: multiply (left_inverse (multiply (left_inverse (left_inverse ?7658)) identity)) ?7659 =>= multiply (left_inverse (left_inverse (multiply (left_inverse ?7658) identity))) ?7659 [7659, 7658] by Super 8076 with 7925 at 1,1,2
% 17.32/4.64 Id : 8358, {_}: multiply (left_inverse (left_inverse (left_inverse ?7658))) ?7659 =<= multiply (left_inverse (left_inverse (multiply (left_inverse ?7658) identity))) ?7659 [7659, 7658] by Demod 8082 with 7925 at 2
% 17.32/4.64 Id : 11525, {_}: multiply (left_inverse ?7727) ?7728 =<= multiply (left_inverse (left_inverse (left_inverse ?7727))) ?7728 [7728, 7727] by Demod 8442 with 8358 at 3
% 17.32/4.64 Id : 11562, {_}: multiply (left_inverse ?10102) (left_inverse (left_inverse ?10102)) =>= identity [10102] by Super 3 with 11525 at 2
% 17.32/4.64 Id : 12002, {_}: left_inverse (left_inverse (left_inverse ?10324)) =<= multiply (left_inverse ?10324) identity [10324] by Super 8006 with 11562 at 2,3
% 17.32/4.64 Id : 7191, {_}: multiply (multiply ?6600 (multiply (left_inverse ?6600) identity)) ?6601 =<= multiply ?6600 (multiply (left_inverse ?6600) (multiply (left_inverse ?6600) (multiply ?6600 ?6601))) [6601, 6600] by Super 6622 with 268 at 2,2,1,2
% 17.32/4.64 Id : 7193, {_}: multiply (multiply (left_inverse ?6605) (multiply (left_inverse (left_inverse ?6605)) identity)) ?6605 =<= multiply (left_inverse ?6605) (multiply (left_inverse (left_inverse ?6605)) (multiply (left_inverse (left_inverse ?6605)) identity)) [6605] by Super 7191 with 3 at 2,2,2,3
% 17.32/4.64 Id : 7309, {_}: multiply identity ?6605 =<= multiply (left_inverse ?6605) (multiply (left_inverse (left_inverse ?6605)) (multiply (left_inverse (left_inverse ?6605)) identity)) [6605] by Demod 7193 with 1553 at 1,2
% 17.32/4.64 Id : 7310, {_}: ?6605 =<= multiply (left_inverse ?6605) (multiply (left_inverse (left_inverse ?6605)) (multiply (left_inverse (left_inverse ?6605)) identity)) [6605] by Demod 7309 with 2 at 2
% 17.32/4.64 Id : 12833, {_}: ?6605 =<= multiply (left_inverse (left_inverse ?6605)) identity [6605] by Demod 7310 with 8006 at 3
% 17.32/4.64 Id : 12834, {_}: ?6605 =<= left_inverse (left_inverse (left_inverse (left_inverse ?6605))) [6605] by Demod 12833 with 12002 at 3
% 17.32/4.64 Id : 12013, {_}: left_inverse (left_inverse ?10358) =<= multiply (left_inverse (left_inverse ?10358)) identity [10358] by Super 7264 with 11562 at 2,3
% 17.32/4.64 Id : 12226, {_}: left_inverse (left_inverse ?10358) =<= left_inverse (left_inverse (left_inverse (left_inverse ?10358))) [10358] by Demod 12013 with 12002 at 3
% 17.32/4.64 Id : 12835, {_}: ?6605 =<= left_inverse (left_inverse ?6605) [6605] by Demod 12834 with 12226 at 3
% 17.32/4.64 Id : 12841, {_}: left_inverse ?10324 =<= multiply (left_inverse ?10324) identity [10324] by Demod 12002 with 12835 at 2
% 17.32/4.64 Id : 12851, {_}: left_inverse (left_inverse ?10873) =<= multiply ?10873 identity [10873] by Super 12841 with 12835 at 1,3
% 17.32/4.64 Id : 12856, {_}: ?10873 =<= multiply ?10873 identity [10873] by Demod 12851 with 12835 at 2
% 17.32/4.64 Id : 12899, {_}: multiply (multiply ?10938 ?10939) ?10938 =<= multiply ?10938 (multiply ?10939 (multiply ?10938 identity)) [10939, 10938] by Super 4 with 12856 at 2
% 17.32/4.64 Id : 14739, {_}: multiply (multiply ?12335 ?12336) ?12335 =>= multiply ?12335 (multiply ?12336 ?12335) [12336, 12335] by Demod 12899 with 12856 at 2,2,3
% 17.32/4.64 Id : 7413, {_}: multiply (multiply ?6301 (multiply (left_inverse ?6301) identity)) ?6302 =>= multiply ?6301 (multiply (left_inverse ?6301) ?6302) [6302, 6301] by Demod 6660 with 7264 at 2,2,3
% 17.32/4.64 Id : 12098, {_}: multiply (multiply ?6301 (left_inverse (left_inverse (left_inverse ?6301)))) ?6302 =>= multiply ?6301 (multiply (left_inverse ?6301) ?6302) [6302, 6301] by Demod 7413 with 12002 at 2,1,2
% 17.32/4.64 Id : 12840, {_}: multiply (multiply ?6301 (left_inverse ?6301)) ?6302 =>= multiply ?6301 (multiply (left_inverse ?6301) ?6302) [6302, 6301] by Demod 12098 with 12835 at 2,1,2
% 17.32/4.64 Id : 12850, {_}: multiply ?10871 (left_inverse ?10871) =>= identity [10871] by Super 3 with 12835 at 1,2
% 17.32/4.64 Id : 13047, {_}: multiply identity ?6302 =<= multiply ?6301 (multiply (left_inverse ?6301) ?6302) [6301, 6302] by Demod 12840 with 12850 at 1,2
% 17.32/4.64 Id : 13048, {_}: ?6302 =<= multiply ?6301 (multiply (left_inverse ?6301) ?6302) [6301, 6302] by Demod 13047 with 2 at 2
% 17.32/4.64 Id : 16501, {_}: multiply ?14041 ?14042 =<= multiply ?14042 (multiply (multiply (left_inverse ?14042) ?14041) ?14042) [14042, 14041] by Super 14739 with 13048 at 1,2
% 17.32/4.64 Id : 52, {_}: multiply (multiply ?72 (multiply ?73 (multiply ?72 identity))) ?74 =>= multiply ?72 (multiply ?73 (multiply ?72 ?74)) [74, 73, 72] by Demod 37 with 4 at 3
% 17.32/4.64 Id : 12864, {_}: multiply (multiply ?72 (multiply ?73 ?72)) ?74 =>= multiply ?72 (multiply ?73 (multiply ?72 ?74)) [74, 73, 72] by Demod 52 with 12856 at 2,2,1,2
% 17.32/4.64 Id : 16518, {_}: multiply (multiply ?14084 (left_inverse ?14085)) ?14085 =<= multiply ?14085 (multiply (left_inverse ?14085) (multiply ?14084 (multiply (left_inverse ?14085) ?14085))) [14085, 14084] by Super 16501 with 12864 at 2,3
% 17.32/4.64 Id : 16616, {_}: multiply (multiply ?14084 (left_inverse ?14085)) ?14085 =>= multiply ?14084 (multiply (left_inverse ?14085) ?14085) [14085, 14084] by Demod 16518 with 13048 at 3
% 17.32/4.64 Id : 16617, {_}: multiply (multiply ?14084 (left_inverse ?14085)) ?14085 =>= multiply ?14084 identity [14085, 14084] by Demod 16616 with 3 at 2,3
% 17.32/4.64 Id : 18795, {_}: multiply (multiply ?16076 (left_inverse ?16077)) ?16077 =>= ?16076 [16077, 16076] by Demod 16617 with 12856 at 3
% 17.32/4.64 Id : 18797, {_}: multiply (multiply ?16081 ?16082) (left_inverse ?16082) =>= ?16081 [16082, 16081] by Super 18795 with 12835 at 2,1,2
% 17.32/4.64 Id : 18949, {_}: left_inverse ?16241 =<= multiply (left_inverse (multiply ?16242 ?16241)) ?16242 [16242, 16241] by Super 7264 with 18797 at 2,3
% 17.32/4.64 Id : 19369, {_}: multiply (left_inverse ?16888) (left_inverse ?16889) =>= left_inverse (multiply ?16889 ?16888) [16889, 16888] by Super 18797 with 18949 at 1,2
% 17.32/4.64 Id : 19604, {_}: multiply ?16982 (left_inverse ?16983) =<= left_inverse (multiply ?16983 (left_inverse ?16982)) [16983, 16982] by Super 19369 with 12835 at 1,2
% 17.32/4.64 Id : 48040, {_}: multiply ?37375 (left_inverse (multiply ?37376 (multiply ?37377 ?37376))) =<= left_inverse (multiply ?37376 (multiply ?37377 (multiply ?37376 (left_inverse ?37375)))) [37377, 37376, 37375] by Super 19604 with 12864 at 1,3
% 17.32/4.64 Id : 16618, {_}: multiply (multiply ?14084 (left_inverse ?14085)) ?14085 =>= ?14084 [14085, 14084] by Demod 16617 with 12856 at 3
% 17.32/4.64 Id : 19271, {_}: multiply (left_inverse ?16728) ?16729 =<= left_inverse (multiply (left_inverse ?16729) ?16728) [16729, 16728] by Super 16618 with 18949 at 1,2
% 17.32/4.64 Id : 19111, {_}: multiply (left_inverse ?16449) ?16450 =<= left_inverse (multiply (left_inverse ?16450) ?16449) [16450, 16449] by Super 16618 with 18949 at 1,2
% 17.32/4.64 Id : 19274, {_}: multiply (left_inverse ?16736) (multiply (left_inverse ?16737) ?16738) =>= left_inverse (multiply (multiply (left_inverse ?16738) ?16737) ?16736) [16738, 16737, 16736] by Super 19271 with 19111 at 1,1,3
% 17.32/4.64 Id : 48109, {_}: multiply ?37686 (left_inverse (multiply (left_inverse ?37687) (multiply (left_inverse ?37688) (left_inverse ?37687)))) =<= left_inverse (multiply (left_inverse ?37687) (left_inverse (multiply (multiply (left_inverse (left_inverse ?37686)) ?37687) ?37688))) [37688, 37687, 37686] by Super 48040 with 19274 at 2,1,3
% 17.32/4.64 Id : 48338, {_}: multiply ?37686 (multiply (left_inverse (multiply (left_inverse ?37688) (left_inverse ?37687))) ?37687) =<= left_inverse (multiply (left_inverse ?37687) (left_inverse (multiply (multiply (left_inverse (left_inverse ?37686)) ?37687) ?37688))) [37687, 37688, 37686] by Demod 48109 with 19111 at 2,2
% 17.32/4.64 Id : 48339, {_}: multiply ?37686 (multiply (left_inverse (multiply (left_inverse ?37688) (left_inverse ?37687))) ?37687) =<= multiply (left_inverse (left_inverse (multiply (multiply (left_inverse (left_inverse ?37686)) ?37687) ?37688))) ?37687 [37687, 37688, 37686] by Demod 48338 with 19111 at 3
% 17.32/4.64 Id : 48340, {_}: multiply ?37686 (multiply (multiply (left_inverse (left_inverse ?37687)) ?37688) ?37687) =<= multiply (left_inverse (left_inverse (multiply (multiply (left_inverse (left_inverse ?37686)) ?37687) ?37688))) ?37687 [37688, 37687, 37686] by Demod 48339 with 19111 at 1,2,2
% 17.32/4.64 Id : 48341, {_}: multiply ?37686 (multiply (multiply (left_inverse (left_inverse ?37687)) ?37688) ?37687) =<= multiply (multiply (multiply (left_inverse (left_inverse ?37686)) ?37687) ?37688) ?37687 [37688, 37687, 37686] by Demod 48340 with 12835 at 1,3
% 17.32/4.64 Id : 48342, {_}: multiply ?37686 (multiply (multiply ?37687 ?37688) ?37687) =<= multiply (multiply (multiply (left_inverse (left_inverse ?37686)) ?37687) ?37688) ?37687 [37688, 37687, 37686] by Demod 48341 with 12835 at 1,1,2,2
% 17.32/4.64 Id : 48343, {_}: multiply ?37686 (multiply (multiply ?37687 ?37688) ?37687) =<= multiply (multiply (multiply ?37686 ?37687) ?37688) ?37687 [37688, 37687, 37686] by Demod 48342 with 12835 at 1,1,1,3
% 17.32/4.64 Id : 12973, {_}: multiply (multiply ?10938 ?10939) ?10938 =>= multiply ?10938 (multiply ?10939 ?10938) [10939, 10938] by Demod 12899 with 12856 at 2,2,3
% 17.32/4.64 Id : 48344, {_}: multiply ?37686 (multiply ?37687 (multiply ?37688 ?37687)) =<= multiply (multiply (multiply ?37686 ?37687) ?37688) ?37687 [37688, 37687, 37686] by Demod 48343 with 12973 at 2,2
% 17.32/4.64 Id : 49257, {_}: multiply a (multiply b (multiply c b)) =?= multiply a (multiply b (multiply c b)) [] by Demod 1 with 48344 at 2
% 17.32/4.64 Id : 1, {_}: multiply (multiply (multiply a b) c) b =>= multiply a (multiply b (multiply c b)) [] by prove_moufang2
% 17.32/4.64 % SZS output end CNFRefutation for theBenchmark.p
% 17.32/4.64 18125: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 4.304459 using kbo
%------------------------------------------------------------------------------