TSTP Solution File: BOO026-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO026-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n029.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 23:44:15 EDT 2022
% Result : Unsatisfiable 2.00s 0.81s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO026-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 20:21:46 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 866: Facts:
% 0.13/0.35 866: Id : 2, {_}:
% 0.13/0.35 multiply ?2 (add ?3 ?4) =<= add (multiply ?3 ?2) (multiply ?4 ?2)
% 0.13/0.35 [4, 3, 2] by multiply_add_property ?2 ?3 ?4
% 0.13/0.35 866: Id : 3, {_}: add ?6 (inverse ?6) =>= n1 [6] by additive_inverse ?6
% 0.13/0.35 866: Id : 4, {_}:
% 0.13/0.35 add ?8 (multiply ?9 ?10) =<= multiply (add ?9 ?8) (add ?10 ?8)
% 0.13/0.35 [10, 9, 8] by add_multiply_property ?8 ?9 ?10
% 0.13/0.35 866: Id : 5, {_}:
% 0.13/0.35 multiply ?12 (inverse ?12) =>= n0
% 0.13/0.35 [12] by multiplicative_inverse ?12
% 0.13/0.35 866: Id : 6, {_}:
% 0.13/0.35 add (multiply ?14 (inverse ?14))
% 0.13/0.35 (add (multiply ?14 ?15) (multiply (inverse ?14) ?15))
% 0.13/0.35 =>=
% 0.13/0.35 ?15
% 0.13/0.35 [15, 14] by pixley1 ?14 ?15
% 0.13/0.35 866: Id : 7, {_}:
% 0.13/0.35 add (multiply ?17 (inverse ?18))
% 0.13/0.35 (add (multiply ?17 ?18) (multiply (inverse ?18) ?18))
% 0.13/0.35 =>=
% 0.13/0.35 ?17
% 0.13/0.35 [18, 17] by pixley2 ?17 ?18
% 0.13/0.35 866: Id : 8, {_}:
% 0.13/0.35 add (multiply ?20 (inverse ?21))
% 0.13/0.35 (add (multiply ?20 ?20) (multiply (inverse ?21) ?20))
% 0.13/0.35 =>=
% 0.13/0.35 ?20
% 0.13/0.35 [21, 20] by pixley3 ?20 ?21
% 0.13/0.35 866: Id : 9, {_}:
% 0.13/0.35 multiply (add ?23 (inverse ?23))
% 0.13/0.35 (multiply (add ?23 ?24) (add (inverse ?23) ?24))
% 0.13/0.35 =>=
% 0.13/0.35 ?24
% 0.13/0.35 [24, 23] by pixley1_dual ?23 ?24
% 0.13/0.35 866: Id : 10, {_}:
% 0.13/0.35 multiply (add ?26 (inverse ?27))
% 0.13/0.35 (multiply (add ?26 ?27) (add (inverse ?27) ?27))
% 0.13/0.35 =>=
% 0.13/0.35 ?26
% 0.13/0.35 [27, 26] by pixley2_dual ?26 ?27
% 0.13/0.35 866: Id : 11, {_}:
% 0.13/0.35 multiply (add ?29 (inverse ?30))
% 0.13/0.35 (multiply (add ?29 ?29) (add (inverse ?30) ?29))
% 0.13/0.35 =>=
% 0.13/0.35 ?29
% 0.13/0.35 [30, 29] by pixley3_dual ?29 ?30
% 0.13/0.35 866: Goal:
% 0.13/0.35 866: Id : 1, {_}: multiply (add a b) b =>= b [] by prove_multiply_add
% 2.00/0.81 Statistics :
% 2.00/0.81 Max weight : 21
% 2.00/0.81 Found proof, 0.461401s
% 2.00/0.81 % SZS status Unsatisfiable for theBenchmark.p
% 2.00/0.81 % SZS output start CNFRefutation for theBenchmark.p
% 2.00/0.81 Id : 8, {_}: add (multiply ?20 (inverse ?21)) (add (multiply ?20 ?20) (multiply (inverse ?21) ?20)) =>= ?20 [21, 20] by pixley3 ?20 ?21
% 2.00/0.81 Id : 11, {_}: multiply (add ?29 (inverse ?30)) (multiply (add ?29 ?29) (add (inverse ?30) ?29)) =>= ?29 [30, 29] by pixley3_dual ?29 ?30
% 2.00/0.81 Id : 7, {_}: add (multiply ?17 (inverse ?18)) (add (multiply ?17 ?18) (multiply (inverse ?18) ?18)) =>= ?17 [18, 17] by pixley2 ?17 ?18
% 2.00/0.81 Id : 18, {_}: add ?53 (multiply ?54 ?55) =<= multiply (add ?54 ?53) (add ?55 ?53) [55, 54, 53] by add_multiply_property ?53 ?54 ?55
% 2.00/0.81 Id : 9, {_}: multiply (add ?23 (inverse ?23)) (multiply (add ?23 ?24) (add (inverse ?23) ?24)) =>= ?24 [24, 23] by pixley1_dual ?23 ?24
% 2.00/0.81 Id : 3, {_}: add ?6 (inverse ?6) =>= n1 [6] by additive_inverse ?6
% 2.00/0.81 Id : 2, {_}: multiply ?2 (add ?3 ?4) =<= add (multiply ?3 ?2) (multiply ?4 ?2) [4, 3, 2] by multiply_add_property ?2 ?3 ?4
% 2.00/0.81 Id : 5, {_}: multiply ?12 (inverse ?12) =>= n0 [12] by multiplicative_inverse ?12
% 2.00/0.81 Id : 6, {_}: add (multiply ?14 (inverse ?14)) (add (multiply ?14 ?15) (multiply (inverse ?14) ?15)) =>= ?15 [15, 14] by pixley1 ?14 ?15
% 2.00/0.81 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?9 ?8) (add ?10 ?8) [10, 9, 8] by add_multiply_property ?8 ?9 ?10
% 2.00/0.81 Id : 28, {_}: add n0 (add (multiply ?14 ?15) (multiply (inverse ?14) ?15)) =>= ?15 [15, 14] by Demod 6 with 5 at 1,2
% 2.00/0.81 Id : 29, {_}: add n0 (multiply ?15 (add ?14 (inverse ?14))) =>= ?15 [14, 15] by Demod 28 with 2 at 2,2
% 2.00/0.81 Id : 30, {_}: add n0 (multiply ?15 n1) =>= ?15 [15] by Demod 29 with 3 at 2,2,2
% 2.00/0.82 Id : 31, {_}: add (multiply ?86 n1) (multiply ?87 n0) =?= multiply (add ?87 (multiply ?86 n1)) ?86 [87, 86] by Super 4 with 30 at 2,3
% 2.00/0.82 Id : 24, {_}: multiply (inverse ?77) (add ?78 ?77) =?= add (multiply ?78 (inverse ?77)) n0 [78, 77] by Super 2 with 5 at 2,3
% 2.00/0.82 Id : 207, {_}: multiply (add ?517 ?518) (add (add ?519 ?518) ?520) =<= add (add ?518 (multiply ?519 ?517)) (multiply ?520 (add ?517 ?518)) [520, 519, 518, 517] by Super 2 with 4 at 1,3
% 2.00/0.82 Id : 234, {_}: multiply (add n1 n0) (add (add ?641 n0) ?642) =>= add ?641 (multiply ?642 (add n1 n0)) [642, 641] by Super 207 with 30 at 1,3
% 2.00/0.82 Id : 310, {_}: add n0 (multiply n1 (add ?814 n0)) =?= add ?814 (multiply n0 (add n1 n0)) [814] by Super 4 with 234 at 3
% 2.00/0.82 Id : 60, {_}: multiply n1 (multiply (add ?23 ?24) (add (inverse ?23) ?24)) =>= ?24 [24, 23] by Demod 9 with 3 at 1,2
% 2.00/0.82 Id : 61, {_}: multiply n1 (add ?24 (multiply ?23 (inverse ?23))) =>= ?24 [23, 24] by Demod 60 with 4 at 2,2
% 2.00/0.82 Id : 62, {_}: multiply n1 (add ?24 n0) =>= ?24 [24] by Demod 61 with 5 at 2,2,2
% 2.00/0.82 Id : 331, {_}: add n0 ?814 =<= add ?814 (multiply n0 (add n1 n0)) [814] by Demod 310 with 62 at 2,2
% 2.00/0.82 Id : 64, {_}: multiply (add ?140 n0) (add n1 ?141) =<= add ?140 (multiply ?141 (add ?140 n0)) [141, 140] by Super 2 with 62 at 1,3
% 2.00/0.82 Id : 407, {_}: multiply (add n1 n0) (add n1 n0) =>= add n0 n1 [] by Super 64 with 331 at 3
% 2.00/0.82 Id : 441, {_}: add n0 (multiply n1 n1) =>= add n0 n1 [] by Demod 407 with 4 at 2
% 2.00/0.82 Id : 442, {_}: n1 =<= add n0 n1 [] by Demod 441 with 30 at 2
% 2.00/0.82 Id : 454, {_}: add n1 (multiply n0 ?1154) =>= multiply n1 (add ?1154 n1) [1154] by Super 4 with 442 at 1,3
% 2.00/0.82 Id : 490, {_}: add n0 n1 =<= multiply n1 (add (add n1 n0) n1) [] by Super 331 with 454 at 3
% 2.00/0.82 Id : 500, {_}: n1 =<= multiply n1 (add (add n1 n0) n1) [] by Demod 490 with 442 at 2
% 2.00/0.82 Id : 942, {_}: multiply (add (add n1 n0) n1) (add n1 ?2101) =<= add n1 (multiply ?2101 (add (add n1 n0) n1)) [2101] by Super 2 with 500 at 1,3
% 2.00/0.82 Id : 945, {_}: multiply (add (add n1 n0) n1) (add n1 n1) =>= add n1 n1 [] by Super 942 with 500 at 2,3
% 2.00/0.82 Id : 956, {_}: add n1 (multiply (add n1 n0) n1) =>= add n1 n1 [] by Demod 945 with 4 at 2
% 2.00/0.82 Id : 1719, {_}: add (multiply ?3244 n1) (multiply n0 ?3245) =?= multiply ?3244 (add ?3245 (multiply ?3244 n1)) [3245, 3244] by Super 4 with 30 at 1,3
% 2.00/0.82 Id : 1727, {_}: add (multiply (add n1 n0) n1) (multiply n0 n1) =>= multiply (add n1 n0) (add n1 n1) [] by Super 1719 with 956 at 2,3
% 2.00/0.82 Id : 1767, {_}: multiply n1 (add (add n1 n0) n0) =<= multiply (add n1 n0) (add n1 n1) [] by Demod 1727 with 2 at 2
% 2.00/0.82 Id : 63, {_}: multiply (add ?137 n0) (add ?138 n1) =<= add (multiply ?138 (add ?137 n0)) ?137 [138, 137] by Super 2 with 62 at 2,3
% 2.00/0.82 Id : 17, {_}: multiply (add ?48 ?49) (add (add ?50 ?49) ?51) =<= add (add ?49 (multiply ?50 ?48)) (multiply ?51 (add ?48 ?49)) [51, 50, 49, 48] by Super 2 with 4 at 1,3
% 2.00/0.82 Id : 639, {_}: multiply (add (add n1 n0) n1) (add (add ?1580 n1) n1) =>= add (add n1 (multiply ?1580 (add n1 n0))) n1 [1580] by Super 17 with 500 at 2,3
% 2.00/0.82 Id : 655, {_}: add n1 (multiply (add n1 n0) (add ?1580 n1)) =<= add (add n1 (multiply ?1580 (add n1 n0))) n1 [1580] by Demod 639 with 4 at 2
% 2.00/0.82 Id : 656, {_}: add n1 (multiply (add n1 n0) (add ?1580 n1)) =<= add (multiply (add n1 n0) (add n1 ?1580)) n1 [1580] by Demod 655 with 64 at 1,3
% 2.00/0.82 Id : 1102, {_}: multiply (add n1 n0) (add (add n1 n0) n1) =<= add n1 (multiply (add n1 n0) (add n0 n1)) [] by Super 63 with 656 at 3
% 2.00/0.82 Id : 1118, {_}: add n1 (multiply n1 (add n1 n0)) =<= add n1 (multiply (add n1 n0) (add n0 n1)) [] by Demod 1102 with 234 at 2
% 2.00/0.82 Id : 1119, {_}: add n1 (multiply n1 (add n1 n0)) =<= add n1 (multiply (add n1 n0) n1) [] by Demod 1118 with 442 at 2,2,3
% 2.00/0.82 Id : 1120, {_}: multiply (add n1 n0) (add n1 n1) =<= add n1 (multiply (add n1 n0) n1) [] by Demod 1119 with 64 at 2
% 2.00/0.82 Id : 1121, {_}: multiply (add n1 n0) (add n1 n1) =>= add n1 n1 [] by Demod 1120 with 956 at 3
% 2.00/0.82 Id : 1768, {_}: multiply n1 (add (add n1 n0) n0) =>= add n1 n1 [] by Demod 1767 with 1121 at 3
% 2.00/0.82 Id : 1769, {_}: add n1 n0 =<= add n1 n1 [] by Demod 1768 with 62 at 2
% 2.00/0.82 Id : 1792, {_}: add n1 (multiply (add n1 n0) n1) =>= add n1 n0 [] by Demod 956 with 1769 at 3
% 2.00/0.82 Id : 642, {_}: multiply (add (add n1 n0) n1) (add ?1586 n1) =<= add (multiply ?1586 (add (add n1 n0) n1)) n1 [1586] by Super 2 with 500 at 2,3
% 2.00/0.82 Id : 654, {_}: add n1 (multiply (add n1 n0) ?1586) =<= add (multiply ?1586 (add (add n1 n0) n1)) n1 [1586] by Demod 642 with 4 at 2
% 2.00/0.82 Id : 1105, {_}: add n1 (multiply (add n1 n0) (add ?2385 n1)) =<= add (multiply (add n1 n0) (add n1 ?2385)) n1 [2385] by Demod 655 with 64 at 1,3
% 2.00/0.82 Id : 120, {_}: multiply (add ?264 ?265) (add ?266 (add ?267 ?265)) =<= add (multiply ?266 (add ?264 ?265)) (add ?265 (multiply ?267 ?264)) [267, 266, 265, 264] by Super 2 with 4 at 2,3
% 2.00/0.82 Id : 128, {_}: multiply (add n1 n0) (add ?301 (add ?302 n0)) =>= add (multiply ?301 (add n1 n0)) ?302 [302, 301] by Super 120 with 30 at 2,3
% 2.00/0.82 Id : 1114, {_}: add n1 (multiply (add n1 n0) (add (add ?2399 n0) n1)) =>= add (add (multiply n1 (add n1 n0)) ?2399) n1 [2399] by Super 1105 with 128 at 1,3
% 2.00/0.82 Id : 1133, {_}: add n1 (add ?2399 (multiply n1 (add n1 n0))) =<= add (add (multiply n1 (add n1 n0)) ?2399) n1 [2399] by Demod 1114 with 234 at 2,2
% 2.00/0.82 Id : 1134, {_}: add n1 (add ?2399 (multiply n1 (add n1 n0))) =>= add (add n1 ?2399) n1 [2399] by Demod 1133 with 62 at 1,1,3
% 2.00/0.82 Id : 1135, {_}: add n1 (add ?2399 n1) =<= add (add n1 ?2399) n1 [2399] by Demod 1134 with 62 at 2,2,2
% 2.00/0.82 Id : 1152, {_}: add n1 (multiply (add n1 n0) ?1586) =<= add (multiply ?1586 (add n1 (add n0 n1))) n1 [1586] by Demod 654 with 1135 at 2,1,3
% 2.00/0.82 Id : 1153, {_}: add n1 (multiply (add n1 n0) ?1586) =<= add (multiply ?1586 (add n1 n1)) n1 [1586] by Demod 1152 with 442 at 2,2,1,3
% 2.00/0.82 Id : 1793, {_}: add n1 (multiply (add n1 n0) ?1586) =<= add (multiply ?1586 (add n1 n0)) n1 [1586] by Demod 1153 with 1769 at 2,1,3
% 2.00/0.82 Id : 1807, {_}: add n1 (multiply (add n1 n0) ?1586) =>= multiply (add n1 n0) (add ?1586 n1) [1586] by Demod 1793 with 63 at 3
% 2.00/0.82 Id : 1809, {_}: multiply (add n1 n0) (add n1 n1) =>= add n1 n0 [] by Demod 1792 with 1807 at 2
% 2.00/0.82 Id : 1810, {_}: multiply (add n1 n0) (add n1 n0) =>= add n1 n0 [] by Demod 1809 with 1769 at 2,2
% 2.00/0.82 Id : 1811, {_}: add n0 (multiply n1 n1) =>= add n1 n0 [] by Demod 1810 with 4 at 2
% 2.00/0.82 Id : 1812, {_}: n1 =<= add n1 n0 [] by Demod 1811 with 30 at 2
% 2.00/0.82 Id : 1828, {_}: add n0 ?814 =<= add ?814 (multiply n0 n1) [814] by Demod 331 with 1812 at 2,2,3
% 2.00/0.82 Id : 414, {_}: multiply (add n1 n0) (add ?1114 n0) =<= add n0 (multiply ?1114 (add n1 n0)) [1114] by Super 2 with 331 at 3
% 2.00/0.82 Id : 436, {_}: add n0 (multiply n1 ?1114) =<= add n0 (multiply ?1114 (add n1 n0)) [1114] by Demod 414 with 4 at 2
% 2.00/0.82 Id : 695, {_}: add n0 n0 =<= add n0 (multiply n1 n0) [] by Super 331 with 436 at 3
% 2.00/0.82 Id : 1539, {_}: multiply (add n0 n0) (add (add n1 n0) ?2998) =<= add (add n0 n0) (multiply ?2998 (add n0 n0)) [2998] by Super 17 with 695 at 1,3
% 2.00/0.82 Id : 1540, {_}: multiply (add n0 n0) (add (add n1 n0) n1) =>= add (add n0 n0) n0 [] by Super 1539 with 62 at 2,3
% 2.00/0.82 Id : 1559, {_}: multiply (add n0 n0) (add n1 (add n0 n1)) =>= add (add n0 n0) n0 [] by Demod 1540 with 1135 at 2,2
% 2.00/0.82 Id : 1560, {_}: multiply (add n0 n0) (add n1 n1) =>= add (add n0 n0) n0 [] by Demod 1559 with 442 at 2,2,2
% 2.00/0.82 Id : 192, {_}: multiply n1 (multiply (add n0 n0) (add ?468 n1)) =>= multiply ?468 (add n0 n0) [468] by Super 62 with 63 at 2,2
% 2.00/0.82 Id : 1572, {_}: multiply n1 (add (add n0 n0) n0) =>= multiply n1 (add n0 n0) [] by Super 192 with 1560 at 2,2
% 2.00/0.82 Id : 1583, {_}: add n0 n0 =<= multiply n1 (add n0 n0) [] by Demod 1572 with 62 at 2
% 2.00/0.82 Id : 1584, {_}: add n0 n0 =>= n0 [] by Demod 1583 with 62 at 3
% 2.00/0.82 Id : 1593, {_}: multiply n0 (add n1 n1) =<= add (add n0 n0) n0 [] by Demod 1560 with 1584 at 1,2
% 2.00/0.82 Id : 1594, {_}: multiply n0 (add n1 n1) =>= add n0 n0 [] by Demod 1593 with 1584 at 1,3
% 2.00/0.82 Id : 1595, {_}: multiply n0 (add n1 n1) =>= n0 [] by Demod 1594 with 1584 at 3
% 2.00/0.82 Id : 1779, {_}: multiply n0 (add n1 n0) =>= n0 [] by Demod 1595 with 1769 at 2,2
% 2.00/0.82 Id : 1882, {_}: multiply n0 n1 =>= n0 [] by Demod 1779 with 1812 at 2,2
% 2.00/0.82 Id : 1884, {_}: add n0 ?814 =?= add ?814 n0 [814] by Demod 1828 with 1882 at 2,3
% 2.00/0.82 Id : 1903, {_}: multiply (inverse ?77) (add ?78 ?77) =?= add n0 (multiply ?78 (inverse ?77)) [78, 77] by Demod 24 with 1884 at 3
% 2.00/0.82 Id : 1620, {_}: add n0 (multiply n0 ?3053) =>= multiply n0 (add ?3053 n0) [3053] by Super 4 with 1584 at 1,3
% 2.00/0.82 Id : 2123, {_}: multiply (inverse ?3417) (add n0 ?3417) =>= multiply n0 (add (inverse ?3417) n0) [3417] by Super 1903 with 1620 at 3
% 2.00/0.82 Id : 2201, {_}: multiply (inverse ?3417) (add n0 ?3417) =>= multiply n0 (add n0 (inverse ?3417)) [3417] by Demod 2123 with 1884 at 2,3
% 2.00/0.82 Id : 106, {_}: add (inverse ?230) (multiply ?230 ?231) =>= multiply n1 (add ?231 (inverse ?230)) [231, 230] by Super 18 with 3 at 1,3
% 2.00/0.82 Id : 107, {_}: add (inverse ?233) n0 =<= multiply n1 (add (inverse ?233) (inverse ?233)) [233] by Super 106 with 5 at 2,2
% 2.00/0.82 Id : 1902, {_}: add n0 (inverse ?233) =<= multiply n1 (add (inverse ?233) (inverse ?233)) [233] by Demod 107 with 1884 at 2
% 2.00/0.82 Id : 25, {_}: multiply (inverse ?80) (add ?80 ?81) =?= add n0 (multiply ?81 (inverse ?80)) [81, 80] by Super 2 with 5 at 1,3
% 2.00/0.82 Id : 35, {_}: add (multiply ?17 (inverse ?18)) (multiply ?18 (add ?17 (inverse ?18))) =>= ?17 [18, 17] by Demod 7 with 2 at 2,2
% 2.00/0.82 Id : 19, {_}: add (inverse ?57) (multiply ?58 ?57) =>= multiply (add ?58 (inverse ?57)) n1 [58, 57] by Super 18 with 3 at 2,3
% 2.00/0.82 Id : 1621, {_}: multiply n1 n0 =>= n0 [] by Super 62 with 1584 at 2,2
% 2.00/0.82 Id : 1644, {_}: add (inverse n0) n0 =<= multiply (add n1 (inverse n0)) n1 [] by Super 19 with 1621 at 2,2
% 2.00/0.82 Id : 2357, {_}: add n0 (inverse n0) =<= multiply (add n1 (inverse n0)) n1 [] by Demod 1644 with 1884 at 2
% 2.00/0.82 Id : 2358, {_}: n1 =<= multiply (add n1 (inverse n0)) n1 [] by Demod 2357 with 3 at 2
% 2.00/0.82 Id : 2362, {_}: add n0 n1 =<= add n1 (inverse n0) [] by Super 30 with 2358 at 2,2
% 2.00/0.82 Id : 2381, {_}: n1 =<= add n1 (inverse n0) [] by Demod 2362 with 442 at 2
% 2.00/0.82 Id : 2394, {_}: add (multiply n1 (inverse n0)) (multiply n0 n1) =>= n1 [] by Super 35 with 2381 at 2,2,2
% 2.00/0.82 Id : 2418, {_}: add (multiply n1 (inverse n0)) n0 =>= n1 [] by Demod 2394 with 1882 at 2,2
% 2.00/0.82 Id : 2419, {_}: add n0 (multiply n1 (inverse n0)) =>= n1 [] by Demod 2418 with 1884 at 2
% 2.00/0.82 Id : 1832, {_}: add n0 (multiply n1 ?1114) =?= add n0 (multiply ?1114 n1) [1114] by Demod 436 with 1812 at 2,2,3
% 2.00/0.82 Id : 1850, {_}: add n0 (multiply n1 ?1114) =>= ?1114 [1114] by Demod 1832 with 30 at 3
% 2.00/0.82 Id : 2420, {_}: inverse n0 =>= n1 [] by Demod 2419 with 1850 at 2
% 2.00/0.82 Id : 2448, {_}: multiply (inverse n0) (add n0 ?3671) =>= add n0 (multiply ?3671 n1) [3671] by Super 25 with 2420 at 2,2,3
% 2.00/0.82 Id : 2461, {_}: multiply n1 (add n0 ?3671) =<= add n0 (multiply ?3671 n1) [3671] by Demod 2448 with 2420 at 1,2
% 2.00/0.82 Id : 2695, {_}: multiply n1 (add n0 ?3890) =>= ?3890 [3890] by Demod 2461 with 30 at 3
% 2.00/0.82 Id : 2697, {_}: multiply n1 ?3893 =?= multiply ?3893 n1 [3893] by Super 2695 with 30 at 2,2
% 2.00/0.82 Id : 5669, {_}: multiply n1 (add ?6206 ?6207) =<= add (multiply ?6206 n1) (multiply n1 ?6207) [6207, 6206] by Super 2 with 2697 at 2,3
% 2.00/0.82 Id : 9222, {_}: multiply (add (multiply ?9004 n1) n0) (add n1 n1) =?= multiply n1 (add ?9004 (add (multiply ?9004 n1) n0)) [9004] by Super 64 with 5669 at 3
% 2.00/0.82 Id : 9274, {_}: multiply (add n0 (multiply ?9004 n1)) (add n1 n1) =?= multiply n1 (add ?9004 (add (multiply ?9004 n1) n0)) [9004] by Demod 9222 with 1884 at 1,2
% 2.00/0.82 Id : 1842, {_}: n1 =<= add n1 n1 [] by Demod 1769 with 1812 at 2
% 2.00/0.82 Id : 9275, {_}: multiply (add n0 (multiply ?9004 n1)) n1 =<= multiply n1 (add ?9004 (add (multiply ?9004 n1) n0)) [9004] by Demod 9274 with 1842 at 2,2
% 2.00/0.82 Id : 1824, {_}: multiply n1 (add ?301 (add ?302 n0)) =<= add (multiply ?301 (add n1 n0)) ?302 [302, 301] by Demod 128 with 1812 at 1,2
% 2.00/0.82 Id : 1825, {_}: multiply n1 (add ?301 (add ?302 n0)) =>= add (multiply ?301 n1) ?302 [302, 301] by Demod 1824 with 1812 at 2,1,3
% 2.00/0.82 Id : 9276, {_}: multiply (add n0 (multiply ?9004 n1)) n1 =<= add (multiply ?9004 n1) (multiply ?9004 n1) [9004] by Demod 9275 with 1825 at 3
% 2.00/0.82 Id : 9277, {_}: multiply n1 (add n0 (multiply ?9004 n1)) =<= add (multiply ?9004 n1) (multiply ?9004 n1) [9004] by Demod 9276 with 2697 at 2
% 2.00/0.82 Id : 9278, {_}: multiply n1 (add n0 (multiply ?9004 n1)) =?= multiply n1 (add ?9004 ?9004) [9004] by Demod 9277 with 2 at 3
% 2.00/0.82 Id : 2462, {_}: multiply n1 (add n0 ?3671) =>= ?3671 [3671] by Demod 2461 with 30 at 3
% 2.00/0.82 Id : 9279, {_}: multiply ?9004 n1 =<= multiply n1 (add ?9004 ?9004) [9004] by Demod 9278 with 2462 at 2
% 2.00/0.82 Id : 9328, {_}: add n0 (inverse ?233) =>= multiply (inverse ?233) n1 [233] by Demod 1902 with 9279 at 3
% 2.00/0.82 Id : 9329, {_}: add n0 (inverse ?233) =>= multiply n1 (inverse ?233) [233] by Demod 9328 with 2697 at 3
% 2.00/0.82 Id : 9334, {_}: multiply (inverse ?3417) (add n0 ?3417) =>= multiply n0 (multiply n1 (inverse ?3417)) [3417] by Demod 2201 with 9329 at 2,3
% 2.00/0.82 Id : 784, {_}: multiply (inverse ?1860) (add ?1861 ?1860) =?= add (multiply ?1861 (inverse ?1860)) n0 [1861, 1860] by Super 2 with 5 at 2,3
% 2.00/0.82 Id : 785, {_}: multiply (inverse ?1863) (add ?1863 ?1863) =>= add n0 n0 [1863] by Super 784 with 5 at 1,3
% 2.00/0.82 Id : 1607, {_}: multiply (inverse ?1863) (add ?1863 ?1863) =>= n0 [1863] by Demod 785 with 1584 at 3
% 2.00/0.82 Id : 1909, {_}: multiply (inverse n1) n1 =>= n0 [] by Super 1607 with 1842 at 2,2
% 2.00/0.82 Id : 1955, {_}: add n0 n0 =>= inverse n1 [] by Super 30 with 1909 at 2,2
% 2.00/0.82 Id : 1981, {_}: n0 =<= inverse n1 [] by Demod 1955 with 1584 at 2
% 2.00/0.82 Id : 2031, {_}: add (multiply ?3362 (inverse n1)) (multiply n1 (add ?3362 n0)) =>= ?3362 [3362] by Super 35 with 1981 at 2,2,2,2
% 2.00/0.82 Id : 2056, {_}: add (multiply ?3362 n0) (multiply n1 (add ?3362 n0)) =>= ?3362 [3362] by Demod 2031 with 1981 at 2,1,2
% 2.00/0.82 Id : 2057, {_}: add (multiply ?3362 n0) ?3362 =>= ?3362 [3362] by Demod 2056 with 62 at 2,2
% 2.00/0.82 Id : 2870, {_}: multiply (add (multiply n0 n0) n0) (add n1 ?4033) =>= add (multiply n0 n0) (multiply ?4033 n0) [4033] by Super 64 with 2057 at 2,2,3
% 2.00/0.82 Id : 2906, {_}: multiply n0 (add n1 ?4033) =<= add (multiply n0 n0) (multiply ?4033 n0) [4033] by Demod 2870 with 2057 at 1,2
% 2.00/0.82 Id : 2974, {_}: multiply n0 (add n1 ?4120) =>= multiply n0 (add n0 ?4120) [4120] by Demod 2906 with 2 at 3
% 2.00/0.82 Id : 453, {_}: add n1 (multiply ?1152 n0) =>= multiply (add ?1152 n1) n1 [1152] by Super 4 with 442 at 2,3
% 2.00/0.82 Id : 2976, {_}: multiply n0 (multiply (add ?4123 n1) n1) =<= multiply n0 (add n0 (multiply ?4123 n0)) [4123] by Super 2974 with 453 at 2,2
% 2.00/0.82 Id : 718, {_}: multiply (add n0 n0) (add (add n1 n0) ?1703) =<= add (add n0 n0) (multiply ?1703 (add n0 n0)) [1703] by Super 17 with 695 at 1,3
% 2.00/0.82 Id : 1611, {_}: multiply n0 (add (add n1 n0) ?1703) =<= add (add n0 n0) (multiply ?1703 (add n0 n0)) [1703] by Demod 718 with 1584 at 1,2
% 2.00/0.82 Id : 1612, {_}: multiply n0 (add (add n1 n0) ?1703) =<= add n0 (multiply ?1703 (add n0 n0)) [1703] by Demod 1611 with 1584 at 1,3
% 2.00/0.82 Id : 1613, {_}: multiply n0 (add (add n1 n0) ?1703) =>= add n0 (multiply ?1703 n0) [1703] by Demod 1612 with 1584 at 2,2,3
% 2.00/0.82 Id : 1820, {_}: multiply n0 (add n1 ?1703) =<= add n0 (multiply ?1703 n0) [1703] by Demod 1613 with 1812 at 1,2,2
% 2.00/0.82 Id : 2907, {_}: multiply n0 (add n1 ?4033) =>= multiply n0 (add n0 ?4033) [4033] by Demod 2906 with 2 at 3
% 2.00/0.82 Id : 2952, {_}: multiply n0 (add n0 ?1703) =<= add n0 (multiply ?1703 n0) [1703] by Demod 1820 with 2907 at 2
% 2.00/0.82 Id : 3037, {_}: multiply n0 (multiply (add ?4123 n1) n1) =>= multiply n0 (multiply n0 (add n0 ?4123)) [4123] by Demod 2976 with 2952 at 2,3
% 2.00/0.82 Id : 1619, {_}: add n0 (multiply ?3051 n0) =>= multiply (add ?3051 n0) n0 [3051] by Super 4 with 1584 at 2,3
% 2.00/0.82 Id : 2103, {_}: multiply n0 (add n1 ?3408) =<= multiply (add ?3408 n0) n0 [3408] by Demod 1619 with 1820 at 2
% 2.00/0.82 Id : 2618, {_}: multiply n0 (add n1 ?3814) =<= multiply (add n0 ?3814) n0 [3814] by Super 2103 with 1884 at 1,3
% 2.00/0.82 Id : 2622, {_}: multiply n0 (add n1 (multiply n0 ?3820)) =<= multiply (multiply n0 (add ?3820 n0)) n0 [3820] by Super 2618 with 1620 at 1,3
% 2.00/0.82 Id : 2661, {_}: multiply n0 (multiply n1 (add ?3820 n1)) =<= multiply (multiply n0 (add ?3820 n0)) n0 [3820] by Demod 2622 with 454 at 2,2
% 2.00/0.82 Id : 2105, {_}: multiply n0 (add n1 (multiply ?3411 (add n0 n0))) =<= multiply (multiply (add n0 n0) (add ?3411 n1)) n0 [3411] by Super 2103 with 63 at 1,3
% 2.00/0.82 Id : 2117, {_}: multiply n0 (add n1 (multiply ?3411 n0)) =<= multiply (multiply (add n0 n0) (add ?3411 n1)) n0 [3411] by Demod 2105 with 1584 at 2,2,2,2
% 2.00/0.82 Id : 2118, {_}: multiply n0 (add n1 (multiply ?3411 n0)) =<= multiply (multiply n0 (add ?3411 n1)) n0 [3411] by Demod 2117 with 1584 at 1,1,3
% 2.00/0.82 Id : 2119, {_}: multiply n0 (multiply (add ?3411 n1) n1) =<= multiply (multiply n0 (add ?3411 n1)) n0 [3411] by Demod 2118 with 453 at 2,2
% 2.00/0.82 Id : 1646, {_}: add n1 n0 =<= multiply (add n1 n1) n1 [] by Super 453 with 1621 at 2,2
% 2.00/0.82 Id : 1675, {_}: multiply n1 (add (add n1 n1) ?3123) =<= add (add n1 n0) (multiply ?3123 n1) [3123] by Super 2 with 1646 at 1,3
% 2.00/0.82 Id : 3415, {_}: multiply n1 (add n1 ?3123) =<= add (add n1 n0) (multiply ?3123 n1) [3123] by Demod 1675 with 1842 at 1,2,2
% 2.00/0.82 Id : 3416, {_}: multiply n1 (add n1 ?3123) =<= add (add n0 n1) (multiply ?3123 n1) [3123] by Demod 3415 with 1884 at 1,3
% 2.00/0.82 Id : 3417, {_}: multiply n1 (add n1 ?3123) =<= add n1 (multiply ?3123 n1) [3123] by Demod 3416 with 442 at 1,3
% 2.00/0.82 Id : 1915, {_}: add n1 (multiply ?3305 n1) =>= multiply (add ?3305 n1) n1 [3305] by Super 4 with 1842 at 2,3
% 2.00/0.82 Id : 3418, {_}: multiply n1 (add n1 ?3123) =<= multiply (add ?3123 n1) n1 [3123] by Demod 3417 with 1915 at 3
% 2.00/0.82 Id : 3928, {_}: multiply n0 (multiply n1 (add n1 ?3411)) =<= multiply (multiply n0 (add ?3411 n1)) n0 [3411] by Demod 2119 with 3418 at 2,2
% 2.00/0.82 Id : 2869, {_}: multiply (add (multiply n0 n0) n0) (add ?4031 n1) =>= add (multiply ?4031 n0) (multiply n0 n0) [4031] by Super 63 with 2057 at 2,1,3
% 2.00/0.82 Id : 2908, {_}: multiply n0 (add ?4031 n1) =<= add (multiply ?4031 n0) (multiply n0 n0) [4031] by Demod 2869 with 2057 at 1,2
% 2.00/0.82 Id : 2909, {_}: multiply n0 (add ?4031 n1) =>= multiply n0 (add ?4031 n0) [4031] by Demod 2908 with 2 at 3
% 2.00/0.82 Id : 3929, {_}: multiply n0 (multiply n1 (add n1 ?3411)) =<= multiply (multiply n0 (add ?3411 n0)) n0 [3411] by Demod 3928 with 2909 at 1,3
% 2.00/0.82 Id : 2620, {_}: multiply n0 (add n1 (multiply ?3817 n1)) =>= multiply ?3817 n0 [3817] by Super 2618 with 30 at 1,3
% 2.00/0.82 Id : 2656, {_}: multiply n0 (multiply (add ?3817 n1) n1) =>= multiply ?3817 n0 [3817] by Demod 2620 with 1915 at 2,2
% 2.00/0.82 Id : 4960, {_}: multiply n0 (multiply n1 (add n1 ?3817)) =>= multiply ?3817 n0 [3817] by Demod 2656 with 3418 at 2,2
% 2.00/0.82 Id : 4961, {_}: multiply ?3411 n0 =<= multiply (multiply n0 (add ?3411 n0)) n0 [3411] by Demod 3929 with 4960 at 2
% 2.00/0.82 Id : 5135, {_}: multiply n0 (multiply n1 (add ?5833 n1)) =>= multiply ?5833 n0 [5833] by Demod 2661 with 4961 at 3
% 2.00/0.82 Id : 5138, {_}: multiply n0 (multiply n1 (multiply (add n1 n0) (add ?5838 n1))) =>= multiply (multiply ?5838 (add n1 n0)) n0 [5838] by Super 5135 with 63 at 2,2,2
% 2.00/0.82 Id : 5171, {_}: multiply n0 (multiply n1 (multiply (add n0 n1) (add ?5838 n1))) =>= multiply (multiply ?5838 (add n1 n0)) n0 [5838] by Demod 5138 with 1884 at 1,2,2,2
% 2.00/0.82 Id : 5172, {_}: multiply n0 (multiply n1 (multiply (add n0 n1) (add ?5838 n1))) =>= multiply (multiply ?5838 (add n0 n1)) n0 [5838] by Demod 5171 with 1884 at 2,1,3
% 2.00/0.82 Id : 5173, {_}: multiply n0 (multiply n1 (add n1 (multiply n0 ?5838))) =>= multiply (multiply ?5838 (add n0 n1)) n0 [5838] by Demod 5172 with 4 at 2,2,2
% 2.00/0.82 Id : 5174, {_}: multiply n0 (multiply n1 (add n1 (multiply n0 ?5838))) =>= multiply (multiply ?5838 n1) n0 [5838] by Demod 5173 with 442 at 2,1,3
% 2.00/0.82 Id : 5175, {_}: multiply (multiply n0 ?5838) n0 =?= multiply (multiply ?5838 n1) n0 [5838] by Demod 5174 with 4960 at 2
% 2.00/0.82 Id : 1605, {_}: multiply n1 (multiply n0 (add ?468 n1)) =>= multiply ?468 (add n0 n0) [468] by Demod 192 with 1584 at 1,2,2
% 2.00/0.82 Id : 1606, {_}: multiply n1 (multiply n0 (add ?468 n1)) =>= multiply ?468 n0 [468] by Demod 1605 with 1584 at 2,3
% 2.00/0.82 Id : 1617, {_}: multiply (add n0 n0) (add ?3046 n1) =>= add (multiply ?3046 n0) n0 [3046] by Super 63 with 1584 at 2,1,3
% 2.00/0.82 Id : 1632, {_}: multiply n0 (add ?3046 n1) =<= add (multiply ?3046 n0) n0 [3046] by Demod 1617 with 1584 at 1,2
% 2.00/0.82 Id : 2251, {_}: multiply n0 (add ?3046 n1) =<= add n0 (multiply ?3046 n0) [3046] by Demod 1632 with 1884 at 3
% 2.00/0.82 Id : 2252, {_}: multiply n0 (add ?3046 n1) =?= multiply n0 (add n1 ?3046) [3046] by Demod 2251 with 1820 at 3
% 2.00/0.82 Id : 2285, {_}: multiply n1 (multiply n0 (add n1 ?3576)) =>= multiply ?3576 n0 [3576] by Super 1606 with 2252 at 2,2
% 2.00/0.82 Id : 4173, {_}: multiply n1 (multiply n0 (add n0 ?5041)) =>= multiply ?5041 n0 [5041] by Demod 2285 with 2907 at 2,2
% 2.00/0.82 Id : 4175, {_}: multiply n1 (multiply n0 ?5044) =<= multiply (multiply ?5044 n1) n0 [5044] by Super 4173 with 30 at 2,2,2
% 2.00/0.82 Id : 5215, {_}: multiply (multiply n0 ?5891) n0 =>= multiply n1 (multiply n0 ?5891) [5891] by Demod 5175 with 4175 at 3
% 2.00/0.82 Id : 5223, {_}: multiply (multiply ?5905 n0) n0 =<= multiply n1 (multiply n0 (multiply n1 (add n1 ?5905))) [5905] by Super 5215 with 4960 at 1,2
% 2.00/0.82 Id : 5274, {_}: multiply (multiply ?5905 n0) n0 =>= multiply n1 (multiply ?5905 n0) [5905] by Demod 5223 with 4960 at 2,3
% 2.00/0.82 Id : 2699, {_}: multiply n1 (multiply n0 (add ?3896 n0)) =>= multiply n0 ?3896 [3896] by Super 2695 with 1620 at 2,2
% 2.00/0.82 Id : 3149, {_}: multiply n1 (multiply n0 (add ?468 n0)) =>= multiply ?468 n0 [468] by Demod 1606 with 2909 at 2,2
% 2.00/0.82 Id : 5756, {_}: multiply ?3896 n0 =?= multiply n0 ?3896 [3896] by Demod 2699 with 3149 at 2
% 2.00/0.82 Id : 5764, {_}: multiply n0 (multiply ?5905 n0) =<= multiply n1 (multiply ?5905 n0) [5905] by Demod 5274 with 5756 at 2
% 2.00/0.82 Id : 5802, {_}: multiply n0 (multiply ?6344 n0) =<= multiply n1 (multiply n0 ?6344) [6344] by Super 5764 with 5756 at 2,3
% 2.00/0.82 Id : 5761, {_}: multiply n1 (multiply n0 ?5044) =>= multiply n0 (multiply ?5044 n1) [5044] by Demod 4175 with 5756 at 3
% 2.00/0.82 Id : 5824, {_}: multiply n0 (multiply ?6344 n0) =<= multiply n0 (multiply ?6344 n1) [6344] by Demod 5802 with 5761 at 3
% 2.00/0.82 Id : 6155, {_}: multiply n0 (multiply (add ?4123 n1) n0) =>= multiply n0 (multiply n0 (add n0 ?4123)) [4123] by Demod 3037 with 5824 at 2
% 2.00/0.82 Id : 4178, {_}: multiply n1 (multiply n0 ?5049) =<= multiply (multiply n1 ?5049) n0 [5049] by Super 4173 with 1850 at 2,2,2
% 2.00/0.82 Id : 5758, {_}: multiply n1 (multiply n0 ?5049) =>= multiply n0 (multiply n1 ?5049) [5049] by Demod 4178 with 5756 at 3
% 2.00/0.82 Id : 5773, {_}: multiply n0 (multiply ?5049 n1) =?= multiply n0 (multiply n1 ?5049) [5049] by Demod 5758 with 5761 at 2
% 2.00/0.82 Id : 5881, {_}: multiply n0 (multiply ?5049 n0) =?= multiply n0 (multiply n1 ?5049) [5049] by Demod 5773 with 5824 at 2
% 2.00/0.82 Id : 6156, {_}: multiply n0 (multiply n1 (add ?4123 n1)) =>= multiply n0 (multiply n0 (add n0 ?4123)) [4123] by Demod 6155 with 5881 at 2
% 2.00/0.82 Id : 5123, {_}: multiply n0 (multiply n1 (add ?3820 n1)) =>= multiply ?3820 n0 [3820] by Demod 2661 with 4961 at 3
% 2.00/0.82 Id : 6173, {_}: multiply ?6596 n0 =<= multiply n0 (multiply n0 (add n0 ?6596)) [6596] by Demod 6156 with 5123 at 2
% 2.00/0.82 Id : 6178, {_}: multiply (multiply n1 ?6604) n0 =>= multiply n0 (multiply n0 ?6604) [6604] by Super 6173 with 1850 at 2,2,3
% 2.00/0.82 Id : 6233, {_}: multiply n0 (multiply n1 ?6604) =>= multiply n0 (multiply n0 ?6604) [6604] by Demod 6178 with 5756 at 2
% 2.00/0.82 Id : 9338, {_}: multiply (inverse ?3417) (add n0 ?3417) =>= multiply n0 (multiply n0 (inverse ?3417)) [3417] by Demod 9334 with 6233 at 3
% 2.00/0.82 Id : 2106, {_}: multiply n0 (add n1 ?3413) =<= multiply (add n0 ?3413) n0 [3413] by Super 2103 with 1884 at 1,3
% 2.00/0.82 Id : 2606, {_}: multiply n0 (add n1 (add n0 ?3782)) =<= add n0 (multiply n0 (add n1 ?3782)) [3782] by Super 1820 with 2106 at 2,3
% 2.00/0.82 Id : 2650, {_}: multiply n0 (add n1 (add n0 ?3782)) =<= multiply n0 (add (add n1 ?3782) n0) [3782] by Demod 2606 with 1620 at 3
% 2.00/0.82 Id : 2651, {_}: multiply n0 (add n1 (add n0 ?3782)) =>= multiply n0 (add n0 (add n1 ?3782)) [3782] by Demod 2650 with 1884 at 2,3
% 2.00/0.82 Id : 4854, {_}: multiply n0 (add n0 (add n0 ?3782)) =<= multiply n0 (add n0 (add n1 ?3782)) [3782] by Demod 2651 with 2907 at 2
% 2.00/0.82 Id : 78, {_}: multiply (add ?29 (inverse ?30)) (add ?29 (multiply ?29 (inverse ?30))) =>= ?29 [30, 29] by Demod 11 with 4 at 2,2
% 2.00/0.82 Id : 46, {_}: add (multiply ?20 (inverse ?21)) (multiply ?20 (add ?20 (inverse ?21))) =>= ?20 [21, 20] by Demod 8 with 2 at 2,2
% 2.00/0.82 Id : 2035, {_}: add n0 (multiply ?3368 n1) =<= multiply (add ?3368 (inverse n1)) n1 [3368] by Super 19 with 1981 at 1,2
% 2.00/0.82 Id : 2051, {_}: ?3368 =<= multiply (add ?3368 (inverse n1)) n1 [3368] by Demod 2035 with 30 at 2
% 2.00/0.82 Id : 2582, {_}: ?3773 =<= multiply (add ?3773 n0) n1 [3773] by Demod 2051 with 1981 at 2,1,3
% 2.00/0.82 Id : 2585, {_}: ?3778 =<= multiply (add n0 ?3778) n1 [3778] by Super 2582 with 1884 at 1,3
% 2.00/0.82 Id : 2756, {_}: multiply n1 (add (add n0 ?3940) ?3941) =>= add ?3940 (multiply ?3941 n1) [3941, 3940] by Super 2 with 2585 at 1,3
% 2.00/0.82 Id : 9369, {_}: multiply (add n0 ?9196) n1 =<= add ?9196 (multiply (add n0 ?9196) n1) [9196] by Super 2756 with 9279 at 2
% 2.00/0.82 Id : 9385, {_}: multiply n1 (add n0 ?9196) =<= add ?9196 (multiply (add n0 ?9196) n1) [9196] by Demod 9369 with 2697 at 2
% 2.00/0.82 Id : 9386, {_}: multiply n1 (add n0 ?9196) =<= add ?9196 (multiply n1 (add n0 ?9196)) [9196] by Demod 9385 with 2697 at 2,3
% 2.00/0.82 Id : 9387, {_}: ?9196 =<= add ?9196 (multiply n1 (add n0 ?9196)) [9196] by Demod 9386 with 2462 at 2
% 2.00/0.82 Id : 9388, {_}: ?9196 =<= add ?9196 ?9196 [9196] by Demod 9387 with 2462 at 2,3
% 2.00/0.82 Id : 9555, {_}: add (multiply (inverse ?9292) (inverse ?9292)) (multiply (inverse ?9292) (inverse ?9292)) =>= inverse ?9292 [9292] by Super 46 with 9388 at 2,2,2
% 2.00/0.82 Id : 9645, {_}: multiply (inverse ?9292) (add (inverse ?9292) (inverse ?9292)) =>= inverse ?9292 [9292] by Demod 9555 with 2 at 2
% 2.00/0.82 Id : 9646, {_}: multiply (inverse ?9292) (inverse ?9292) =>= inverse ?9292 [9292] by Demod 9645 with 9388 at 2,2
% 2.00/0.82 Id : 9740, {_}: add (inverse ?9372) (multiply ?9372 (add (inverse ?9372) (inverse ?9372))) =>= inverse ?9372 [9372] by Super 35 with 9646 at 1,2
% 2.00/0.82 Id : 21, {_}: add (inverse ?65) (multiply ?65 ?66) =>= multiply n1 (add ?66 (inverse ?65)) [66, 65] by Super 18 with 3 at 1,3
% 2.00/0.82 Id : 9777, {_}: multiply n1 (add (add (inverse ?9372) (inverse ?9372)) (inverse ?9372)) =>= inverse ?9372 [9372] by Demod 9740 with 21 at 2
% 2.00/0.82 Id : 9778, {_}: multiply n1 (add (inverse ?9372) (inverse ?9372)) =>= inverse ?9372 [9372] by Demod 9777 with 9388 at 1,2,2
% 2.00/0.82 Id : 9779, {_}: multiply n1 (inverse ?9372) =>= inverse ?9372 [9372] by Demod 9778 with 9388 at 2,2
% 2.00/0.82 Id : 9835, {_}: multiply (add n1 (inverse ?9458)) (add n1 (inverse ?9458)) =>= n1 [9458] by Super 78 with 9779 at 2,2,2
% 2.00/0.82 Id : 9858, {_}: add (inverse ?9458) (multiply n1 n1) =>= n1 [9458] by Demod 9835 with 4 at 2
% 2.00/0.82 Id : 1800, {_}: add n1 n0 =<= multiply (add n1 n0) n1 [] by Demod 1646 with 1769 at 1,3
% 2.00/0.82 Id : 1835, {_}: n1 =<= multiply (add n1 n0) n1 [] by Demod 1800 with 1812 at 2
% 2.00/0.82 Id : 1836, {_}: n1 =<= multiply n1 n1 [] by Demod 1835 with 1812 at 1,3
% 2.00/0.82 Id : 9859, {_}: add (inverse ?9458) n1 =>= n1 [9458] by Demod 9858 with 1836 at 2,2
% 2.00/0.82 Id : 3164, {_}: add n1 (multiply n0 (add ?4284 n0)) =>= multiply n1 (add (add ?4284 n1) n1) [4284] by Super 454 with 2909 at 2,2
% 2.00/0.82 Id : 3187, {_}: multiply n1 (add (add ?4284 n0) n1) =<= multiply n1 (add (add ?4284 n1) n1) [4284] by Demod 3164 with 454 at 2
% 2.00/0.82 Id : 1826, {_}: multiply n1 (add (add ?641 n0) ?642) =<= add ?641 (multiply ?642 (add n1 n0)) [642, 641] by Demod 234 with 1812 at 1,2
% 2.00/0.82 Id : 1827, {_}: multiply n1 (add (add ?641 n0) ?642) =>= add ?641 (multiply ?642 n1) [642, 641] by Demod 1826 with 1812 at 2,2,3
% 2.00/0.82 Id : 3188, {_}: add ?4284 (multiply n1 n1) =<= multiply n1 (add (add ?4284 n1) n1) [4284] by Demod 3187 with 1827 at 2
% 2.00/0.82 Id : 3189, {_}: add ?4284 n1 =<= multiply n1 (add (add ?4284 n1) n1) [4284] by Demod 3188 with 1836 at 2,2
% 2.00/0.82 Id : 5651, {_}: multiply n1 (add n1 ?3123) =?= multiply n1 (add ?3123 n1) [3123] by Demod 3418 with 2697 at 3
% 2.00/0.82 Id : 6566, {_}: add ?4284 n1 =<= multiply n1 (add n1 (add ?4284 n1)) [4284] by Demod 3189 with 5651 at 3
% 2.00/0.82 Id : 2091, {_}: multiply n0 (add n1 ?3051) =<= multiply (add ?3051 n0) n0 [3051] by Demod 1619 with 1820 at 2
% 2.00/0.82 Id : 2099, {_}: add n1 (multiply n0 (add n1 ?3398)) =>= multiply (add (add ?3398 n0) n1) n1 [3398] by Super 453 with 2091 at 2,2
% 2.00/0.82 Id : 2109, {_}: multiply n1 (add (add n1 ?3398) n1) =<= multiply (add (add ?3398 n0) n1) n1 [3398] by Demod 2099 with 454 at 2
% 2.00/0.82 Id : 2110, {_}: multiply n1 (add n1 (add ?3398 n1)) =<= multiply (add (add ?3398 n0) n1) n1 [3398] by Demod 2109 with 1135 at 2,2
% 2.00/0.82 Id : 3635, {_}: multiply n1 (add n1 (add ?3398 n1)) =>= multiply n1 (add n1 (add ?3398 n0)) [3398] by Demod 2110 with 3418 at 3
% 2.00/0.82 Id : 3636, {_}: multiply n1 (add n1 (add ?3398 n1)) =>= add (multiply n1 n1) ?3398 [3398] by Demod 3635 with 1825 at 3
% 2.00/0.82 Id : 3637, {_}: multiply n1 (add n1 (add ?3398 n1)) =>= add n1 ?3398 [3398] by Demod 3636 with 1836 at 1,3
% 2.00/0.82 Id : 3639, {_}: add n0 (add n1 ?4619) =<= add n1 (add ?4619 n1) [4619] by Super 1850 with 3637 at 2,2
% 2.00/0.82 Id : 6567, {_}: add ?4284 n1 =<= multiply n1 (add n0 (add n1 ?4284)) [4284] by Demod 6566 with 3639 at 2,3
% 2.00/0.82 Id : 6568, {_}: add ?4284 n1 =?= add n1 ?4284 [4284] by Demod 6567 with 2462 at 3
% 2.00/0.82 Id : 9860, {_}: add n1 (inverse ?9458) =>= n1 [9458] by Demod 9859 with 6568 at 2
% 2.00/0.82 Id : 9904, {_}: multiply n0 (add n0 (add n0 (inverse ?9544))) =>= multiply n0 (add n0 n1) [9544] by Super 4854 with 9860 at 2,2,3
% 2.00/0.82 Id : 9814, {_}: add n0 (inverse ?233) =>= inverse ?233 [233] by Demod 9329 with 9779 at 3
% 2.00/0.82 Id : 9923, {_}: multiply n0 (add n0 (inverse ?9544)) =>= multiply n0 (add n0 n1) [9544] by Demod 9904 with 9814 at 2,2,2
% 2.00/0.82 Id : 9924, {_}: multiply n0 (add n0 (inverse ?9544)) =>= multiply n0 (add n0 n0) [9544] by Demod 9923 with 2909 at 3
% 2.00/0.82 Id : 9925, {_}: multiply n0 (inverse ?9544) =?= multiply n0 (add n0 n0) [9544] by Demod 9924 with 9814 at 2,2
% 2.00/0.82 Id : 9926, {_}: multiply n0 (inverse ?9544) =>= multiply n0 n0 [9544] by Demod 9925 with 9388 at 2,3
% 2.00/0.82 Id : 456, {_}: multiply n1 (multiply (add n0 n0) n1) =>= multiply n0 (add n0 n0) [] by Super 192 with 442 at 2,2,2
% 2.00/0.82 Id : 1603, {_}: multiply n1 (multiply n0 n1) =>= multiply n0 (add n0 n0) [] by Demod 456 with 1584 at 1,2,2
% 2.00/0.82 Id : 1604, {_}: multiply n1 (multiply n0 n1) =>= multiply n0 n0 [] by Demod 1603 with 1584 at 2,3
% 2.00/0.82 Id : 1886, {_}: multiply n1 n0 =>= multiply n0 n0 [] by Demod 1604 with 1882 at 2,2
% 2.00/0.82 Id : 1888, {_}: n0 =<= multiply n0 n0 [] by Demod 1886 with 1621 at 2
% 2.00/0.82 Id : 9927, {_}: multiply n0 (inverse ?9544) =>= n0 [9544] by Demod 9926 with 1888 at 3
% 2.00/0.82 Id : 9976, {_}: multiply (inverse ?3417) (add n0 ?3417) =>= multiply n0 n0 [3417] by Demod 9338 with 9927 at 2,3
% 2.00/0.82 Id : 9979, {_}: multiply (inverse ?3417) (add n0 ?3417) =>= n0 [3417] by Demod 9976 with 1888 at 3
% 2.00/0.82 Id : 9551, {_}: add ?9281 (multiply ?9282 ?9281) =>= multiply (add ?9282 ?9281) ?9281 [9282, 9281] by Super 4 with 9388 at 2,3
% 2.00/0.82 Id : 10141, {_}: multiply (inverse (multiply ?9748 n0)) (multiply (add ?9748 n0) n0) =>= n0 [9748] by Super 9979 with 9551 at 2,2
% 2.00/0.82 Id : 5303, {_}: add (inverse (multiply ?5939 n0)) (multiply n1 (multiply ?5939 n0)) =>= multiply n1 (add n0 (inverse (multiply ?5939 n0))) [5939] by Super 21 with 5274 at 2,2
% 2.00/0.82 Id : 5332, {_}: multiply (add n1 (inverse (multiply ?5939 n0))) n1 =>= multiply n1 (add n0 (inverse (multiply ?5939 n0))) [5939] by Demod 5303 with 19 at 2
% 2.00/0.82 Id : 5333, {_}: multiply (add n1 (inverse (multiply ?5939 n0))) n1 =>= inverse (multiply ?5939 n0) [5939] by Demod 5332 with 2462 at 3
% 2.00/0.82 Id : 8928, {_}: multiply n1 (add n1 (inverse (multiply ?5939 n0))) =>= inverse (multiply ?5939 n0) [5939] by Demod 5333 with 2697 at 2
% 2.00/0.82 Id : 5176, {_}: multiply (multiply n0 ?5838) n0 =>= multiply n1 (multiply n0 ?5838) [5838] by Demod 5175 with 4175 at 3
% 2.00/0.82 Id : 5206, {_}: add (inverse (multiply n0 ?5868)) (multiply n1 (multiply n0 ?5868)) =>= multiply n1 (add n0 (inverse (multiply n0 ?5868))) [5868] by Super 21 with 5176 at 2,2
% 2.00/0.82 Id : 5246, {_}: multiply (add n1 (inverse (multiply n0 ?5868))) n1 =>= multiply n1 (add n0 (inverse (multiply n0 ?5868))) [5868] by Demod 5206 with 19 at 2
% 2.00/0.82 Id : 5247, {_}: multiply (add n1 (inverse (multiply n0 ?5868))) n1 =>= inverse (multiply n0 ?5868) [5868] by Demod 5246 with 2462 at 3
% 2.00/0.83 Id : 8459, {_}: multiply n1 (add n1 (inverse (multiply n0 ?5868))) =>= inverse (multiply n0 ?5868) [5868] by Demod 5247 with 2697 at 2
% 2.00/0.83 Id : 8602, {_}: add n0 (inverse (multiply n0 ?8282)) =<= add n1 (inverse (multiply n0 ?8282)) [8282] by Super 1850 with 8459 at 2,2
% 2.00/0.83 Id : 8617, {_}: add n0 (inverse (multiply n0 ?8309)) =<= add n1 (inverse (multiply ?8309 n0)) [8309] by Super 8602 with 5756 at 1,2,3
% 2.00/0.83 Id : 8929, {_}: multiply n1 (add n0 (inverse (multiply n0 ?5939))) =>= inverse (multiply ?5939 n0) [5939] by Demod 8928 with 8617 at 2,2
% 2.00/0.83 Id : 8930, {_}: inverse (multiply n0 ?5939) =?= inverse (multiply ?5939 n0) [5939] by Demod 8929 with 2462 at 2
% 2.00/0.83 Id : 8475, {_}: add n0 (inverse (multiply n0 ?8174)) =<= add n1 (inverse (multiply n0 ?8174)) [8174] by Super 1850 with 8459 at 2,2
% 2.00/0.83 Id : 9336, {_}: multiply n1 (inverse (multiply n0 ?8174)) =<= add n1 (inverse (multiply n0 ?8174)) [8174] by Demod 8475 with 9329 at 2
% 2.00/0.83 Id : 9813, {_}: inverse (multiply n0 ?8174) =<= add n1 (inverse (multiply n0 ?8174)) [8174] by Demod 9336 with 9779 at 2
% 2.00/0.83 Id : 9881, {_}: inverse (multiply n0 ?8174) =>= n1 [8174] by Demod 9813 with 9860 at 3
% 2.00/0.83 Id : 9882, {_}: n1 =<= inverse (multiply ?5939 n0) [5939] by Demod 8930 with 9881 at 2
% 2.00/0.83 Id : 10212, {_}: multiply n1 (multiply (add ?9748 n0) n0) =>= n0 [9748] by Demod 10141 with 9882 at 1,2
% 2.00/0.83 Id : 10213, {_}: multiply n1 (multiply n0 (add ?9748 n0)) =>= n0 [9748] by Demod 10212 with 5756 at 2,2
% 2.00/0.83 Id : 5880, {_}: multiply n1 (multiply n0 ?5044) =>= multiply n0 (multiply ?5044 n0) [5044] by Demod 5761 with 5824 at 3
% 2.00/0.83 Id : 10214, {_}: multiply n0 (multiply (add ?9748 n0) n0) =>= n0 [9748] by Demod 10213 with 5880 at 2
% 2.00/0.83 Id : 5757, {_}: multiply n0 (multiply n0 ?5838) =<= multiply n1 (multiply n0 ?5838) [5838] by Demod 5176 with 5756 at 2
% 2.00/0.83 Id : 5774, {_}: multiply n0 (multiply n0 ?5838) =?= multiply n0 (multiply ?5838 n1) [5838] by Demod 5757 with 5761 at 3
% 2.00/0.83 Id : 5879, {_}: multiply n0 (multiply n0 ?5838) =?= multiply n0 (multiply ?5838 n0) [5838] by Demod 5774 with 5824 at 3
% 2.00/0.83 Id : 10215, {_}: multiply n0 (multiply n0 (add ?9748 n0)) =>= n0 [9748] by Demod 10214 with 5879 at 2
% 2.00/0.83 Id : 20, {_}: add (multiply ?60 ?61) (multiply ?62 (multiply ?63 ?61)) =<= multiply (add ?62 (multiply ?60 ?61)) (multiply ?61 (add ?63 ?60)) [63, 62, 61, 60] by Super 18 with 2 at 2,3
% 2.00/0.83 Id : 716, {_}: add (multiply n1 n0) (multiply n0 (multiply ?1698 n0)) =>= multiply (add n0 n0) (multiply n0 (add ?1698 n1)) [1698] by Super 20 with 695 at 1,3
% 2.00/0.83 Id : 1596, {_}: add (multiply n1 n0) (multiply n0 (multiply ?1698 n0)) =>= multiply n0 (multiply n0 (add ?1698 n1)) [1698] by Demod 716 with 1584 at 1,3
% 2.00/0.83 Id : 1637, {_}: add n0 (multiply n0 (multiply ?1698 n0)) =>= multiply n0 (multiply n0 (add ?1698 n1)) [1698] by Demod 1596 with 1621 at 1,2
% 2.00/0.83 Id : 2120, {_}: multiply n0 (add (multiply ?1698 n0) n0) =>= multiply n0 (multiply n0 (add ?1698 n1)) [1698] by Demod 1637 with 1620 at 2
% 2.00/0.83 Id : 2121, {_}: multiply n0 (add n0 (multiply ?1698 n0)) =>= multiply n0 (multiply n0 (add ?1698 n1)) [1698] by Demod 2120 with 1884 at 2,2
% 2.00/0.83 Id : 2122, {_}: multiply n0 (multiply n0 (add n1 ?1698)) =?= multiply n0 (multiply n0 (add ?1698 n1)) [1698] by Demod 2121 with 1820 at 2,2
% 2.00/0.83 Id : 2950, {_}: multiply n0 (multiply n0 (add n0 ?1698)) =?= multiply n0 (multiply n0 (add ?1698 n1)) [1698] by Demod 2122 with 2907 at 2,2
% 2.00/0.83 Id : 3148, {_}: multiply n0 (multiply n0 (add n0 ?1698)) =?= multiply n0 (multiply n0 (add ?1698 n0)) [1698] by Demod 2950 with 2909 at 2,3
% 2.00/0.83 Id : 6157, {_}: multiply ?4123 n0 =<= multiply n0 (multiply n0 (add n0 ?4123)) [4123] by Demod 6156 with 5123 at 2
% 2.00/0.83 Id : 6158, {_}: multiply ?1698 n0 =<= multiply n0 (multiply n0 (add ?1698 n0)) [1698] by Demod 3148 with 6157 at 2
% 2.00/0.83 Id : 10216, {_}: multiply ?9748 n0 =>= n0 [9748] by Demod 10215 with 6158 at 2
% 2.00/0.83 Id : 10443, {_}: add (multiply ?86 n1) n0 =<= multiply (add ?87 (multiply ?86 n1)) ?86 [87, 86] by Demod 31 with 10216 at 2,2
% 2.00/0.83 Id : 10456, {_}: add n0 (multiply ?86 n1) =<= multiply (add ?87 (multiply ?86 n1)) ?86 [87, 86] by Demod 10443 with 1884 at 2
% 2.00/0.83 Id : 10457, {_}: ?86 =<= multiply (add ?87 (multiply ?86 n1)) ?86 [87, 86] by Demod 10456 with 30 at 2
% 2.00/0.83 Id : 10442, {_}: add n0 ?3362 =>= ?3362 [3362] by Demod 2057 with 10216 at 1,2
% 2.00/0.83 Id : 10484, {_}: multiply n1 (add ?3940 ?3941) =<= add ?3940 (multiply ?3941 n1) [3941, 3940] by Demod 2756 with 10442 at 1,2,2
% 2.00/0.83 Id : 10487, {_}: ?86 =<= multiply (multiply n1 (add ?87 ?86)) ?86 [87, 86] by Demod 10457 with 10484 at 1,3
% 2.00/0.83 Id : 10475, {_}: multiply n1 ?3671 =>= ?3671 [3671] by Demod 2462 with 10442 at 2,2
% 2.00/0.83 Id : 10521, {_}: ?86 =<= multiply (add ?87 ?86) ?86 [87, 86] by Demod 10487 with 10475 at 1,3
% 2.00/0.83 Id : 10675, {_}: b === b [] by Demod 1 with 10521 at 2
% 2.00/0.83 Id : 1, {_}: multiply (add a b) b =>= b [] by prove_multiply_add
% 2.00/0.83 % SZS output end CNFRefutation for theBenchmark.p
% 2.00/0.83 866: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.475386 using nrkbo
%------------------------------------------------------------------------------