TSTP Solution File: GRP578-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n020.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 10:30:51 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP578-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 23:59:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 5020: Facts:
% 0.14/0.34 5020: Id : 2, {_}:
% 0.14/0.34 double_divide
% 0.14/0.34 (double_divide ?2
% 0.14/0.34 (double_divide (double_divide (double_divide ?3 ?2) ?4)
% 0.14/0.34 (double_divide ?3 identity))) (double_divide identity identity)
% 0.14/0.34 =>=
% 0.14/0.34 ?4
% 0.14/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.34 5020: Id : 3, {_}:
% 0.14/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.14/0.34 [7, 6] by multiply ?6 ?7
% 0.14/0.34 5020: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.14/0.34 5020: Id : 5, {_}:
% 0.14/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.14/0.34 [11] by identity ?11
% 0.14/0.34 5020: Goal:
% 0.14/0.34 5020: Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.20/0.43 Statistics :
% 0.20/0.43 Max weight : 32
% 0.20/0.43 Found proof, 0.083636s
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.43 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide (double_divide ?14 ?13) ?15) (double_divide ?14 identity))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.20/0.43 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.20/0.43 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (double_divide ?3 identity))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.43 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.20/0.43 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.20/0.43 Id : 19, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.20/0.43 Id : 22, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 19 with 4 at 1,3
% 0.20/0.43 Id : 20, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (double_divide identity identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.20/0.43 Id : 21, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 20 with 4 at 2,2
% 0.20/0.43 Id : 29, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= inverse (double_divide ?73 ?72) [73, 72] by Super 21 with 5 at 1,2,1,2
% 0.20/0.43 Id : 34, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= multiply ?72 ?73 [73, 72] by Demod 29 with 19 at 3
% 0.20/0.43 Id : 9, {_}: double_divide (double_divide ?26 ?27) (double_divide identity identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Super 6 with 2 at 2,1,2
% 0.20/0.43 Id : 216, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Demod 9 with 4 at 2,2
% 0.20/0.43 Id : 217, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 27, 26] by Demod 216 with 4 at 2,3
% 0.20/0.43 Id : 218, {_}: double_divide (double_divide ?491 (double_divide identity (inverse ?492))) (inverse identity) =>= multiply (double_divide identity (double_divide identity ?491)) ?492 [492, 491] by Super 34 with 217 at 2
% 0.20/0.43 Id : 256, {_}: multiply ?491 ?492 =<= multiply (double_divide identity (double_divide identity ?491)) ?492 [492, 491] by Demod 218 with 34 at 2
% 0.20/0.43 Id : 169, {_}: double_divide (double_divide ?410 (double_divide identity (inverse ?411))) (inverse identity) =>= multiply ?410 ?411 [411, 410] by Demod 29 with 19 at 3
% 0.20/0.43 Id : 171, {_}: double_divide (double_divide ?417 identity) (inverse identity) =>= multiply ?417 identity [417] by Super 169 with 5 at 2,1,2
% 0.20/0.43 Id : 192, {_}: double_divide (inverse ?446) (inverse identity) =>= multiply ?446 identity [446] by Demod 171 with 4 at 1,2
% 0.20/0.43 Id : 193, {_}: double_divide (multiply ?448 ?449) (inverse identity) =>= multiply (double_divide ?449 ?448) identity [449, 448] by Super 192 with 19 at 1,2
% 0.20/0.43 Id : 233, {_}: double_divide (double_divide ?556 ?557) (inverse identity) =<= double_divide (double_divide (double_divide ?558 (double_divide identity ?556)) ?557) (inverse ?558) [558, 557, 556] by Demod 216 with 4 at 2,3
% 0.20/0.43 Id : 237, {_}: double_divide (double_divide (inverse ?571) (inverse identity)) (inverse identity) =?= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Super 233 with 34 at 1,3
% 0.20/0.43 Id : 181, {_}: double_divide (inverse ?417) (inverse identity) =>= multiply ?417 identity [417] by Demod 171 with 4 at 1,2
% 0.20/0.43 Id : 258, {_}: double_divide (multiply ?571 identity) (inverse identity) =?= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 237 with 181 at 1,2
% 0.20/0.43 Id : 259, {_}: multiply (double_divide identity ?571) identity =<= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 258 with 193 at 2
% 0.20/0.43 Id : 438, {_}: multiply (double_divide identity ?1014) identity =?= multiply (double_divide ?1014 identity) identity [1014] by Super 193 with 259 at 2
% 0.20/0.43 Id : 461, {_}: multiply (double_divide identity ?1014) identity =>= multiply (inverse ?1014) identity [1014] by Demod 438 with 4 at 1,3
% 0.20/0.43 Id : 475, {_}: multiply ?1089 identity =<= multiply (inverse (double_divide identity ?1089)) identity [1089] by Super 256 with 461 at 3
% 0.20/0.43 Id : 481, {_}: multiply ?1089 identity =<= multiply (multiply ?1089 identity) identity [1089] by Demod 475 with 19 at 1,3
% 0.20/0.43 Id : 468, {_}: multiply (inverse ?571) identity =<= double_divide (multiply ?572 ?571) (inverse ?572) [572, 571] by Demod 259 with 461 at 2
% 0.20/0.43 Id : 476, {_}: multiply (double_divide identity ?1091) identity =>= multiply (inverse ?1091) identity [1091] by Demod 438 with 4 at 1,3
% 0.20/0.43 Id : 478, {_}: multiply identity identity =<= multiply (inverse (inverse identity)) identity [] by Super 476 with 5 at 1,2
% 0.20/0.43 Id : 490, {_}: inverse (inverse identity) =<= multiply (inverse (inverse identity)) identity [] by Demod 478 with 22 at 2
% 0.20/0.43 Id : 494, {_}: multiply (inverse identity) identity =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse identity))) [] by Super 468 with 490 at 1,3
% 0.20/0.43 Id : 30, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 19 with 5 at 1,3
% 0.20/0.43 Id : 507, {_}: inverse identity =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse identity))) [] by Demod 494 with 30 at 2
% 0.20/0.43 Id : 508, {_}: inverse identity =>= identity [] by Demod 507 with 5 at 3
% 0.20/0.43 Id : 536, {_}: double_divide (inverse ?417) identity =>= multiply ?417 identity [417] by Demod 181 with 508 at 2,2
% 0.20/0.43 Id : 543, {_}: inverse (inverse ?417) =<= multiply ?417 identity [417] by Demod 536 with 4 at 2
% 0.20/0.43 Id : 714, {_}: inverse (inverse ?1089) =<= multiply (multiply ?1089 identity) identity [1089] by Demod 481 with 543 at 2
% 0.20/0.43 Id : 715, {_}: inverse (inverse ?1089) =<= inverse (inverse (multiply ?1089 identity)) [1089] by Demod 714 with 543 at 3
% 0.20/0.43 Id : 728, {_}: inverse (inverse ?1244) =<= inverse (inverse (inverse (inverse ?1244))) [1244] by Demod 715 with 543 at 1,1,3
% 0.20/0.43 Id : 7, {_}: double_divide (double_divide (double_divide identity identity) (double_divide (double_divide ?17 ?18) (double_divide (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity))) identity))) (double_divide identity identity) =>= ?18 [20, 19, 18, 17] by Super 6 with 2 at 1,1,2,1,2
% 0.20/0.43 Statistics :
% 0.20/0.43 Max weight : 20
% 0.20/0.43 Found proof, 0.085369s
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.43 Id : 38, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (double_divide (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity))) identity))) (double_divide identity identity) =>= ?18 [20, 19, 18, 17] by Demod 7 with 4 at 1,1,2
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.43 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide (double_divide ?14 ?13) ?15) (double_divide ?14 identity))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.20/0.43 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 0.20/0.43 Id : 39, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (inverse (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity)))))) (double_divide identity identity) =>= ?18 [20, 19, 18, 17] by Demod 38 with 4 at 2,2,1,2
% 0.20/0.43 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (double_divide ?3 identity))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.43 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.20/0.43 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 0.20/0.43 Id : 19, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 0.20/0.43 Id : 22, {_}: multiply identity ?57 =>= inverse (inverse ?57) [57] by Super 19 with 4 at 1,3
% 0.20/0.43 Id : 40, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (inverse (double_divide ?19 (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity)))))) (inverse identity) =>= ?18 [20, 19, 18, 17] by Demod 39 with 4 at 2,2
% 0.20/0.43 Id : 20, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (double_divide identity identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2,1,2
% 0.20/0.43 Id : 41, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (double_divide ?20 identity)) ?19))) (inverse identity) =>= ?18 [19, 20, 18, 17] by Demod 40 with 19 at 2,2,1,2
% 0.20/0.43 Id : 21, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 20 with 4 at 2,2
% 0.20/0.43 Id : 28, {_}: double_divide (double_divide (inverse ?69) (double_divide (double_divide identity ?70) (inverse ?69))) (inverse identity) =>= ?70 [70, 69] by Super 21 with 5 at 1,1,2,1,2
% 0.20/0.43 Id : 42, {_}: double_divide (double_divide (inverse identity) (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) (inverse identity) =>= ?18 [19, 20, 18, 17] by Demod 41 with 4 at 2,1,2,2,1,2
% 0.20/0.43 Id : 9, {_}: double_divide (double_divide ?26 ?27) (double_divide identity identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Super 6 with 2 at 2,1,2
% 0.20/0.43 Id : 532, {_}: double_divide (double_divide identity (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) (inverse identity) =>= ?18 [19, 20, 18, 17] by Demod 42 with 508 at 1,1,2
% 0.20/0.43 Id : 204, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (double_divide ?28 identity) [28, 27, 26] by Demod 9 with 4 at 2,2
% 0.20/0.43 Id : 221, {_}: double_divide (double_divide ?527 ?528) (inverse identity) =<= double_divide (double_divide (double_divide ?529 (double_divide identity ?527)) ?528) (inverse ?529) [529, 528, 527] by Demod 204 with 4 at 2,3
% 0.20/0.43 Id : 533, {_}: double_divide (double_divide identity (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) identity =>= ?18 [19, 20, 18, 17] by Demod 532 with 508 at 2,2
% 0.20/0.43 Id : 555, {_}: inverse (double_divide identity (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) =>= ?18 [19, 20, 18, 17] by Demod 533 with 4 at 2
% 0.20/0.43 Id : 227, {_}: double_divide (double_divide ?548 identity) (inverse identity) =<= double_divide (inverse (double_divide ?549 (double_divide identity ?548))) (inverse ?549) [549, 548] by Super 221 with 4 at 1,3
% 0.20/0.43 Id : 556, {_}: multiply (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19)) identity =>= ?18 [19, 20, 18, 17] by Demod 555 with 19 at 2
% 0.20/0.43 Id : 251, {_}: double_divide (inverse ?548) (inverse identity) =<= double_divide (inverse (double_divide ?549 (double_divide identity ?548))) (inverse ?549) [549, 548] by Demod 227 with 4 at 1,2
% 0.20/0.43 Id : 252, {_}: double_divide (inverse ?548) (inverse identity) =<= double_divide (multiply (double_divide identity ?548) ?549) (inverse ?549) [549, 548] by Demod 251 with 19 at 1,3
% 0.20/0.43 Id : 557, {_}: inverse (inverse (double_divide (double_divide ?17 ?18) (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19))) =>= ?18 [19, 20, 18, 17] by Demod 556 with 543 at 2
% 0.20/0.43 Id : 558, {_}: inverse (multiply (multiply (double_divide (double_divide (double_divide ?20 ?19) ?17) (inverse ?20)) ?19) (double_divide ?17 ?18)) =>= ?18 [18, 17, 19, 20] by Demod 557 with 19 at 1,2
% 0.20/0.43 Id : 531, {_}: double_divide (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) identity =>= ?4 [4, 3, 2] by Demod 21 with 508 at 2,2
% 0.20/0.43 Id : 29, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= inverse (double_divide ?73 ?72) [73, 72] by Super 21 with 5 at 1,2,1,2
% 0.20/0.43 Id : 169, {_}: double_divide (double_divide ?410 (double_divide identity (inverse ?411))) (inverse identity) =>= multiply ?410 ?411 [411, 410] by Demod 29 with 19 at 3
% 0.20/0.43 Id : 171, {_}: double_divide (double_divide ?417 identity) (inverse identity) =>= multiply ?417 identity [417] by Super 169 with 5 at 2,1,2
% 0.20/0.43 Id : 181, {_}: double_divide (inverse ?417) (inverse identity) =>= multiply ?417 identity [417] by Demod 171 with 4 at 1,2
% 0.20/0.43 Id : 559, {_}: inverse (double_divide ?2 (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3))) =>= ?4 [4, 3, 2] by Demod 531 with 4 at 2
% 0.20/0.43 Id : 560, {_}: multiply (double_divide (double_divide (double_divide ?3 ?2) ?4) (inverse ?3)) ?2 =>= ?4 [4, 2, 3] by Demod 559 with 19 at 2
% 0.20/0.43 Id : 561, {_}: inverse (multiply ?17 (double_divide ?17 ?18)) =>= ?18 [18, 17] by Demod 558 with 560 at 1,1,2
% 0.20/0.43 Id : 493, {_}: multiply ?1038 identity =<= double_divide (multiply (double_divide identity ?1038) ?1039) (inverse ?1039) [1039, 1038] by Demod 252 with 181 at 2
% 0.20/0.43 Id : 496, {_}: multiply (inverse identity) identity =<= double_divide (multiply identity ?1047) (inverse ?1047) [1047] by Super 493 with 5 at 1,1,3
% 0.20/0.43 Id : 30, {_}: multiply (inverse ?75) ?75 =>= inverse identity [75] by Super 19 with 5 at 1,3
% 0.20/0.43 Id : 502, {_}: inverse identity =<= double_divide (multiply identity ?1047) (inverse ?1047) [1047] by Demod 496 with 30 at 2
% 0.20/0.43 Id : 730, {_}: inverse (inverse (multiply ?1247 (double_divide ?1247 ?1248))) =>= inverse (inverse (inverse ?1248)) [1248, 1247] by Super 728 with 561 at 1,1,1,3
% 0.20/0.43 Id : 757, {_}: inverse ?1299 =<= inverse (inverse (inverse ?1299)) [1299] by Demod 730 with 561 at 1,2
% 0.20/0.43 Id : 759, {_}: inverse (multiply ?1302 (double_divide ?1302 ?1303)) =>= inverse (inverse ?1303) [1303, 1302] by Super 757 with 561 at 1,1,3
% 0.20/0.43 Id : 503, {_}: inverse identity =<= double_divide (inverse (inverse ?1047)) (inverse ?1047) [1047] by Demod 502 with 22 at 1,3
% 0.20/0.43 Id : 767, {_}: ?1303 =<= inverse (inverse ?1303) [1303] by Demod 759 with 561 at 2
% 0.20/0.43 Id : 512, {_}: multiply (inverse ?1073) (inverse (inverse ?1073)) =>= inverse (inverse identity) [1073] by Super 19 with 503 at 1,3
% 0.20/0.43 Id : 772, {_}: multiply identity ?57 =>= ?57 [57] by Demod 22 with 767 at 3
% 0.20/0.43 Id : 791, {_}: a2 === a2 [] by Demod 1 with 772 at 2
% 0.20/0.43 Id : 34, {_}: double_divide (double_divide ?72 (double_divide identity (inverse ?73))) (inverse identity) =>= multiply ?72 ?73 [73, 72] by Demod 29 with 19 at 3
% 0.20/0.43 Id : 1, {_}: multiply identity a2 =>= a2 [] by prove_these_axioms_2
% 0.20/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.43 5022: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.087993 using lpo
% 0.20/0.43 Id : 205, {_}: double_divide (double_divide ?26 ?27) (inverse identity) =<= double_divide (double_divide (double_divide ?28 (double_divide identity ?26)) ?27) (inverse ?28) [28, 27, 26] by Demod 204 with 4 at 2,3
% 0.20/0.43 Id : 206, {_}: double_divide (double_divide ?462 (double_divide identity (inverse ?463))) (inverse identity) =>= multiply (double_divide identity (double_divide identity ?462)) ?463 [463, 462] by Super 34 with 205 at 2
% 0.20/0.43 Id : 244, {_}: multiply ?462 ?463 =<= multiply (double_divide identity (double_divide identity ?462)) ?463 [463, 462] by Demod 206 with 34 at 2
% 0.20/0.43 Id : 568, {_}: multiply (double_divide identity ?1155) identity =<= double_divide (multiply ?1155 ?1156) (inverse ?1156) [1156, 1155] by Super 493 with 244 at 1,3
% 0.20/0.43 Id : 576, {_}: multiply (double_divide identity (inverse ?1177)) identity =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse ?1177))) [1177] by Super 568 with 512 at 1,3
% 0.20/0.43 Id : 571, {_}: multiply (double_divide identity (inverse ?1164)) identity =>= double_divide (inverse identity) (inverse ?1164) [1164] by Super 568 with 30 at 1,3
% 0.20/0.43 Id : 729, {_}: double_divide (inverse identity) (inverse ?1177) =<= double_divide (inverse (inverse identity)) (inverse (inverse (inverse ?1177))) [1177] by Demod 576 with 571 at 2
%------------------------------------------------------------------------------