TSTP Solution File: GRP120-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP120-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n016.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 10:28:47 EDT 2022
% Result : Unsatisfiable 10.33s 2.90s
% Output : CNFRefutation 10.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP120-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 04:27:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 11928: Facts:
% 0.13/0.34 11928: Id : 2, {_}:
% 0.13/0.34 multiply ?2
% 0.13/0.34 (multiply
% 0.13/0.34 (multiply ?2 (multiply (multiply ?2 ?2) (multiply ?3 ?4)))
% 0.13/0.34 (multiply ?4 (multiply ?4 ?4)))
% 0.13/0.34 =>=
% 0.13/0.34 ?3
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 11928: Id : 3, {_}: multiply identity identity =>= identity [] by single_axiom2
% 0.13/0.34 11928: Goal:
% 0.13/0.34 11928: Id : 1, {_}: multiply identity a =>= a [] by prove_order3
% 10.33/2.90 Statistics :
% 10.33/2.90 Max weight : 86
% 10.33/2.90 Found proof, 2.562385s
% 10.33/2.90 % SZS status Unsatisfiable for theBenchmark.p
% 10.33/2.90 % SZS output start CNFRefutation for theBenchmark.p
% 10.33/2.90 Id : 4, {_}: multiply ?7 (multiply (multiply ?7 (multiply (multiply ?7 ?7) (multiply ?8 ?9))) (multiply ?9 (multiply ?9 ?9))) =>= ?8 [9, 8, 7] by single_axiom ?7 ?8 ?9
% 10.33/2.90 Id : 3, {_}: multiply identity identity =>= identity [] by single_axiom2
% 10.33/2.90 Id : 2, {_}: multiply ?2 (multiply (multiply ?2 (multiply (multiply ?2 ?2) (multiply ?3 ?4))) (multiply ?4 (multiply ?4 ?4))) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 10.33/2.90 Id : 8, {_}: multiply ?22 (multiply (multiply ?22 (multiply (multiply ?22 ?22) (multiply ?23 identity))) (multiply identity identity)) =>= ?23 [23, 22] by Super 2 with 3 at 2,2,2,2
% 10.33/2.90 Id : 13, {_}: multiply ?22 (multiply (multiply ?22 (multiply (multiply ?22 ?22) (multiply ?23 identity))) identity) =>= ?23 [23, 22] by Demod 8 with 3 at 2,2,2
% 10.33/2.90 Id : 6, {_}: multiply ?16 (multiply (multiply ?16 ?17) (multiply (multiply ?18 (multiply ?18 ?18)) (multiply (multiply ?18 (multiply ?18 ?18)) (multiply ?18 (multiply ?18 ?18))))) =?= multiply (multiply ?16 ?16) (multiply (multiply (multiply ?16 ?16) (multiply ?16 ?16)) (multiply ?17 ?18)) [18, 17, 16] by Super 4 with 2 at 2,1,2,2
% 10.33/2.90 Id : 238, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply (multiply identity (multiply identity identity)) (multiply (multiply identity (multiply identity identity)) (multiply identity (multiply identity identity)))))) identity) =>= ?405 [405, 404] by Super 13 with 6 at 1,2,2
% 10.33/2.90 Id : 273, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply (multiply identity identity) (multiply (multiply identity (multiply identity identity)) (multiply identity (multiply identity identity)))))) identity) =>= ?405 [405, 404] by Demod 238 with 3 at 2,1,2,2,1,2,2
% 10.33/2.90 Id : 274, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply (multiply identity identity) (multiply (multiply identity identity) (multiply identity (multiply identity identity)))))) identity) =>= ?405 [405, 404] by Demod 273 with 3 at 2,1,2,2,2,1,2,2
% 10.33/2.90 Id : 275, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply (multiply identity identity) (multiply (multiply identity identity) (multiply identity identity))))) identity) =>= ?405 [405, 404] by Demod 274 with 3 at 2,2,2,2,2,1,2,2
% 10.33/2.90 Id : 276, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply identity (multiply (multiply identity identity) (multiply identity identity))))) identity) =>= ?405 [405, 404] by Demod 275 with 3 at 1,2,2,1,2,2
% 10.33/2.90 Id : 277, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply identity (multiply identity (multiply identity identity))))) identity) =>= ?405 [405, 404] by Demod 276 with 3 at 1,2,2,2,1,2,2
% 10.33/2.90 Id : 278, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply identity (multiply identity identity)))) identity) =>= ?405 [405, 404] by Demod 277 with 3 at 2,2,2,2,1,2,2
% 10.33/2.90 Id : 279, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) (multiply identity identity))) identity) =>= ?405 [405, 404] by Demod 278 with 3 at 2,2,2,1,2,2
% 10.33/2.90 Id : 280, {_}: multiply (multiply ?404 ?404) (multiply (multiply ?404 (multiply (multiply ?404 ?405) identity)) identity) =>= ?405 [405, 404] by Demod 279 with 3 at 2,2,1,2,2
% 10.33/2.90 Id : 18, {_}: multiply ?43 (multiply (multiply ?43 (multiply (multiply ?43 ?43) ?44)) (multiply (multiply (multiply ?45 (multiply (multiply ?45 ?45) (multiply ?44 ?46))) (multiply ?46 (multiply ?46 ?46))) (multiply (multiply (multiply ?45 (multiply (multiply ?45 ?45) (multiply ?44 ?46))) (multiply ?46 (multiply ?46 ?46))) (multiply (multiply ?45 (multiply (multiply ?45 ?45) (multiply ?44 ?46))) (multiply ?46 (multiply ?46 ?46)))))) =>= ?45 [46, 45, 44, 43] by Super 4 with 2 at 2,2,1,2,2
% 10.33/2.90 Id : 40, {_}: multiply identity (multiply (multiply identity (multiply identity ?153)) (multiply (multiply (multiply ?154 (multiply (multiply ?154 ?154) (multiply ?153 ?155))) (multiply ?155 (multiply ?155 ?155))) (multiply (multiply (multiply ?154 (multiply (multiply ?154 ?154) (multiply ?153 ?155))) (multiply ?155 (multiply ?155 ?155))) (multiply (multiply ?154 (multiply (multiply ?154 ?154) (multiply ?153 ?155))) (multiply ?155 (multiply ?155 ?155)))))) =>= ?154 [155, 154, 153] by Super 18 with 3 at 1,2,1,2,2
% 10.33/2.90 Id : 764, {_}: multiply (multiply ?891 ?891) (multiply (multiply ?891 (multiply (multiply ?891 ?892) identity)) identity) =>= ?892 [892, 891] by Demod 279 with 3 at 2,2,1,2,2
% 10.33/2.90 Id : 765, {_}: multiply (multiply ?894 ?894) (multiply (multiply ?894 (multiply ?895 identity)) identity) =<= multiply (multiply ?894 (multiply (multiply ?894 ?894) (multiply ?895 ?896))) (multiply ?896 (multiply ?896 ?896)) [896, 895, 894] by Super 764 with 2 at 1,2,1,2,2
% 10.33/2.90 Id : 3186, {_}: multiply identity (multiply (multiply identity (multiply identity ?153)) (multiply (multiply (multiply ?154 ?154) (multiply (multiply ?154 (multiply ?153 identity)) identity)) (multiply (multiply (multiply ?154 (multiply (multiply ?154 ?154) (multiply ?153 ?155))) (multiply ?155 (multiply ?155 ?155))) (multiply (multiply ?154 (multiply (multiply ?154 ?154) (multiply ?153 ?155))) (multiply ?155 (multiply ?155 ?155)))))) =>= ?154 [155, 154, 153] by Demod 40 with 765 at 1,2,2,2
% 10.33/2.90 Id : 3187, {_}: multiply identity (multiply (multiply identity (multiply identity ?153)) (multiply (multiply (multiply ?154 ?154) (multiply (multiply ?154 (multiply ?153 identity)) identity)) (multiply (multiply (multiply ?154 ?154) (multiply (multiply ?154 (multiply ?153 identity)) identity)) (multiply (multiply ?154 (multiply (multiply ?154 ?154) (multiply ?153 ?155))) (multiply ?155 (multiply ?155 ?155)))))) =>= ?154 [155, 154, 153] by Demod 3186 with 765 at 1,2,2,2,2
% 10.33/2.90 Id : 3188, {_}: multiply identity (multiply (multiply identity (multiply identity ?153)) (multiply (multiply (multiply ?154 ?154) (multiply (multiply ?154 (multiply ?153 identity)) identity)) (multiply (multiply (multiply ?154 ?154) (multiply (multiply ?154 (multiply ?153 identity)) identity)) (multiply (multiply ?154 ?154) (multiply (multiply ?154 (multiply ?153 identity)) identity))))) =>= ?154 [154, 153] by Demod 3187 with 765 at 2,2,2,2,2
% 10.33/2.90 Id : 3185, {_}: multiply ?2 (multiply (multiply ?2 ?2) (multiply (multiply ?2 (multiply ?3 identity)) identity)) =>= ?3 [3, 2] by Demod 2 with 765 at 2,2
% 10.33/2.90 Id : 474, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply ?653 ?654))) (multiply ?654 (multiply ?654 ?654))) =>= ?653 [654, 653] by Super 2 with 3 at 1,2,1,2,2
% 10.33/2.90 Id : 495, {_}: multiply (multiply identity identity) (multiply (multiply (multiply identity identity) (multiply identity identity)) (multiply (multiply identity (multiply ?710 (multiply ?711 (multiply ?711 ?711)))) ?711)) =>= ?710 [711, 710] by Super 474 with 6 at 2
% 10.33/2.90 Id : 562, {_}: multiply identity (multiply (multiply (multiply identity identity) (multiply identity identity)) (multiply (multiply identity (multiply ?710 (multiply ?711 (multiply ?711 ?711)))) ?711)) =>= ?710 [711, 710] by Demod 495 with 3 at 1,2
% 10.33/2.90 Id : 563, {_}: multiply identity (multiply (multiply identity (multiply identity identity)) (multiply (multiply identity (multiply ?710 (multiply ?711 (multiply ?711 ?711)))) ?711)) =>= ?710 [711, 710] by Demod 562 with 3 at 1,1,2,2
% 10.33/2.90 Id : 564, {_}: multiply identity (multiply (multiply identity identity) (multiply (multiply identity (multiply ?710 (multiply ?711 (multiply ?711 ?711)))) ?711)) =>= ?710 [711, 710] by Demod 563 with 3 at 2,1,2,2
% 10.33/2.90 Id : 565, {_}: multiply identity (multiply identity (multiply (multiply identity (multiply ?710 (multiply ?711 (multiply ?711 ?711)))) ?711)) =>= ?710 [711, 710] by Demod 564 with 3 at 1,2,2
% 10.33/2.91 Id : 1698, {_}: multiply (multiply identity identity) (multiply (multiply identity (multiply ?1613 identity)) identity) =?= multiply identity (multiply (multiply identity (multiply ?1613 (multiply ?1614 (multiply ?1614 ?1614)))) ?1614) [1614, 1613] by Super 280 with 565 at 1,2,1,2,2
% 10.33/2.91 Id : 1725, {_}: multiply identity (multiply (multiply identity (multiply ?1613 identity)) identity) =<= multiply identity (multiply (multiply identity (multiply ?1613 (multiply ?1614 (multiply ?1614 ?1614)))) ?1614) [1614, 1613] by Demod 1698 with 3 at 1,2
% 10.33/2.91 Id : 10, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply ?27 ?28))) (multiply ?28 (multiply ?28 ?28))) =>= ?27 [28, 27] by Super 2 with 3 at 1,2,1,2,2
% 10.33/2.91 Id : 170, {_}: multiply ?245 (multiply (multiply ?245 (multiply (multiply ?245 ?245) (multiply ?246 identity))) identity) =>= ?246 [246, 245] by Demod 8 with 3 at 2,2,2
% 10.33/2.91 Id : 359, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply ?559 identity))) identity) =>= ?559 [559] by Super 170 with 3 at 1,2,1,2,2
% 10.33/2.91 Id : 172, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply ?250 identity))) identity) =>= ?250 [250] by Super 170 with 3 at 1,2,1,2,2
% 10.33/2.91 Id : 389, {_}: multiply identity (multiply (multiply identity ?598) identity) =>= multiply identity (multiply identity (multiply ?598 identity)) [598] by Super 359 with 172 at 2,1,2,2
% 10.33/2.91 Id : 363, {_}: multiply identity (multiply (multiply identity ?565) identity) =>= multiply identity (multiply identity (multiply ?565 identity)) [565] by Super 359 with 172 at 2,1,2,2
% 10.33/2.91 Id : 396, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply ?614 identity))) identity) =>= multiply identity (multiply identity (multiply (multiply (multiply identity ?614) identity) identity)) [614] by Super 389 with 363 at 1,2,2
% 10.33/2.91 Id : 452, {_}: multiply identity (multiply identity (multiply (multiply identity (multiply ?614 identity)) identity)) =<= multiply identity (multiply identity (multiply (multiply (multiply identity ?614) identity) identity)) [614] by Demod 396 with 363 at 2
% 10.33/2.91 Id : 453, {_}: multiply identity (multiply identity (multiply identity (multiply (multiply ?614 identity) identity))) =<= multiply identity (multiply identity (multiply (multiply (multiply identity ?614) identity) identity)) [614] by Demod 452 with 363 at 2,2
% 10.33/2.91 Id : 376, {_}: multiply identity (multiply identity (multiply (multiply identity (multiply ?250 identity)) identity)) =>= ?250 [250] by Demod 172 with 363 at 2
% 10.33/2.91 Id : 377, {_}: multiply identity (multiply identity (multiply identity (multiply (multiply ?250 identity) identity))) =>= ?250 [250] by Demod 376 with 363 at 2,2
% 10.33/2.91 Id : 454, {_}: ?614 =<= multiply identity (multiply identity (multiply (multiply (multiply identity ?614) identity) identity)) [614] by Demod 453 with 377 at 2
% 10.33/2.91 Id : 577, {_}: multiply identity (multiply ?744 (multiply identity (multiply identity identity))) =>= multiply (multiply identity ?744) identity [744] by Super 10 with 454 at 1,2,2
% 10.33/2.91 Id : 590, {_}: multiply identity (multiply ?744 (multiply identity identity)) =>= multiply (multiply identity ?744) identity [744] by Demod 577 with 3 at 2,2,2,2
% 10.33/2.91 Id : 591, {_}: multiply identity (multiply ?744 identity) =<= multiply (multiply identity ?744) identity [744] by Demod 590 with 3 at 2,2,2
% 10.33/2.91 Id : 1726, {_}: multiply identity (multiply identity (multiply (multiply ?1613 identity) identity)) =<= multiply identity (multiply (multiply identity (multiply ?1613 (multiply ?1614 (multiply ?1614 ?1614)))) ?1614) [1614, 1613] by Demod 1725 with 591 at 2,2
% 10.33/2.91 Id : 2021, {_}: multiply (multiply identity identity) (multiply (multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?1984 identity) identity))) identity)) identity) =?= multiply (multiply identity (multiply ?1984 (multiply ?1985 (multiply ?1985 ?1985)))) ?1985 [1985, 1984] by Super 280 with 1726 at 1,2,1,2,2
% 10.33/2.91 Id : 2047, {_}: multiply identity (multiply (multiply ?1984 identity) identity) =<= multiply (multiply identity (multiply ?1984 (multiply ?1985 (multiply ?1985 ?1985)))) ?1985 [1985, 1984] by Demod 2021 with 280 at 2
% 10.33/2.91 Id : 3382, {_}: multiply identity (multiply (multiply (multiply ?3333 (multiply (multiply ?3333 ?3333) (multiply ?3334 ?3335))) identity) identity) =<= multiply (multiply identity (multiply (multiply ?3333 ?3333) (multiply (multiply ?3333 (multiply ?3334 identity)) identity))) ?3335 [3335, 3334, 3333] by Super 2047 with 765 at 2,1,3
% 10.33/2.91 Id : 3399, {_}: multiply identity (multiply (multiply (multiply ?3398 (multiply (multiply ?3398 ?3398) (multiply (multiply ?3398 ?3399) ?3400))) identity) identity) =>= multiply (multiply identity ?3399) ?3400 [3400, 3399, 3398] by Super 3382 with 280 at 2,1,3
% 10.33/2.91 Id : 7899, {_}: multiply identity (multiply (multiply identity identity) (multiply (multiply (multiply identity ?5796) ?5797) identity)) =<= multiply (multiply ?5798 (multiply (multiply ?5798 ?5798) (multiply (multiply ?5798 ?5796) ?5797))) identity [5798, 5797, 5796] by Super 3185 with 3399 at 1,2,2,2
% 10.33/2.91 Id : 11718, {_}: multiply identity (multiply identity (multiply (multiply (multiply identity ?7866) ?7867) identity)) =<= multiply (multiply ?7868 (multiply (multiply ?7868 ?7868) (multiply (multiply ?7868 ?7866) ?7867))) identity [7868, 7867, 7866] by Demod 7899 with 3 at 1,2,2
% 10.33/2.91 Id : 173, {_}: multiply ?252 (multiply (multiply ?252 ?253) identity) =<= multiply (multiply ?252 ?252) (multiply (multiply (multiply ?252 ?252) (multiply ?252 ?252)) (multiply ?253 identity)) [253, 252] by Super 170 with 13 at 2,1,2,2
% 10.33/2.91 Id : 11794, {_}: multiply identity (multiply identity (multiply (multiply (multiply identity ?8145) identity) identity)) =<= multiply (multiply ?8146 (multiply (multiply ?8146 (multiply (multiply ?8146 ?8146) ?8145)) identity)) identity [8146, 8145] by Super 11718 with 173 at 1,3
% 10.33/2.91 Id : 12175, {_}: multiply identity (multiply identity (multiply (multiply identity (multiply ?8145 identity)) identity)) =<= multiply (multiply ?8146 (multiply (multiply ?8146 (multiply (multiply ?8146 ?8146) ?8145)) identity)) identity [8146, 8145] by Demod 11794 with 591 at 1,2,2,2
% 10.33/2.91 Id : 12176, {_}: multiply identity (multiply identity (multiply identity (multiply (multiply ?8145 identity) identity))) =<= multiply (multiply ?8146 (multiply (multiply ?8146 (multiply (multiply ?8146 ?8146) ?8145)) identity)) identity [8146, 8145] by Demod 12175 with 591 at 2,2,2
% 10.33/2.91 Id : 12260, {_}: ?8371 =<= multiply (multiply ?8372 (multiply (multiply ?8372 (multiply (multiply ?8372 ?8372) ?8371)) identity)) identity [8372, 8371] by Demod 12176 with 377 at 2
% 10.33/2.91 Id : 7995, {_}: multiply identity (multiply identity (multiply (multiply (multiply identity ?5796) ?5797) identity)) =<= multiply (multiply ?5798 (multiply (multiply ?5798 ?5798) (multiply (multiply ?5798 ?5796) ?5797))) identity [5798, 5797, 5796] by Demod 7899 with 3 at 1,2,2
% 10.33/2.91 Id : 13639, {_}: multiply (multiply ?9712 ?9713) ?9714 =<= multiply (multiply ?9712 (multiply identity (multiply identity (multiply (multiply (multiply identity ?9713) ?9714) identity)))) identity [9714, 9713, 9712] by Super 12260 with 7995 at 2,1,3
% 10.42/2.91 Id : 13640, {_}: multiply (multiply ?9716 identity) ?9717 =<= multiply (multiply ?9716 (multiply identity (multiply identity (multiply (multiply identity ?9717) identity)))) identity [9717, 9716] by Super 13639 with 3 at 1,1,2,2,2,1,3
% 10.42/2.91 Id : 15855, {_}: multiply (multiply ?11620 identity) ?11621 =<= multiply (multiply ?11620 (multiply identity (multiply identity (multiply identity (multiply ?11621 identity))))) identity [11621, 11620] by Demod 13640 with 591 at 2,2,2,1,3
% 10.42/2.91 Id : 16274, {_}: multiply (multiply ?12127 identity) (multiply ?12128 identity) =>= multiply (multiply ?12127 ?12128) identity [12128, 12127] by Super 15855 with 377 at 2,1,3
% 10.42/2.91 Id : 17215, {_}: multiply (multiply identity (multiply ?12369 identity)) (multiply ?12370 identity) =>= multiply (multiply (multiply identity ?12369) ?12370) identity [12370, 12369] by Super 16274 with 591 at 1,2
% 10.42/2.91 Id : 17236, {_}: multiply ?12446 (multiply ?12447 identity) =<= multiply (multiply (multiply identity (multiply identity (multiply (multiply identity identity) (multiply ?12446 identity)))) ?12447) identity [12447, 12446] by Super 17215 with 13 at 1,2
% 10.42/2.91 Id : 15877, {_}: multiply (multiply ?11697 identity) (multiply ?11698 identity) =>= multiply (multiply ?11697 ?11698) identity [11698, 11697] by Super 15855 with 377 at 2,1,3
% 10.42/2.91 Id : 17565, {_}: multiply ?12446 (multiply ?12447 identity) =<= multiply (multiply (multiply identity (multiply identity (multiply (multiply identity ?12446) identity))) ?12447) identity [12447, 12446] by Demod 17236 with 15877 at 2,2,1,1,3
% 10.42/2.91 Id : 21867, {_}: multiply ?14600 (multiply ?14601 identity) =<= multiply (multiply (multiply identity (multiply identity (multiply identity (multiply ?14600 identity)))) ?14601) identity [14601, 14600] by Demod 17565 with 591 at 2,2,1,1,3
% 10.42/2.91 Id : 769, {_}: multiply (multiply identity identity) (multiply (multiply identity (multiply ?908 identity)) identity) =<= multiply (multiply identity (multiply identity (multiply ?908 ?909))) (multiply ?909 (multiply ?909 ?909)) [909, 908] by Super 764 with 10 at 1,2,1,2,2
% 10.42/2.91 Id : 838, {_}: multiply identity (multiply (multiply identity (multiply ?908 identity)) identity) =<= multiply (multiply identity (multiply identity (multiply ?908 ?909))) (multiply ?909 (multiply ?909 ?909)) [909, 908] by Demod 769 with 3 at 1,2
% 10.42/2.91 Id : 839, {_}: multiply identity (multiply identity (multiply (multiply ?908 identity) identity)) =<= multiply (multiply identity (multiply identity (multiply ?908 ?909))) (multiply ?909 (multiply ?909 ?909)) [909, 908] by Demod 838 with 591 at 2,2
% 10.42/2.91 Id : 21909, {_}: multiply ?14740 (multiply (multiply (multiply ?14740 identity) (multiply (multiply ?14740 identity) (multiply ?14740 identity))) identity) =>= multiply (multiply identity (multiply identity (multiply (multiply identity identity) identity))) identity [14740] by Super 21867 with 839 at 1,3
% 10.42/2.91 Id : 22341, {_}: multiply ?14740 (multiply (multiply (multiply ?14740 identity) (multiply (multiply ?14740 ?14740) identity)) identity) =?= multiply (multiply identity (multiply identity (multiply (multiply identity identity) identity))) identity [14740] by Demod 21909 with 15877 at 2,1,2,2
% 10.42/2.91 Id : 22342, {_}: multiply ?14740 (multiply (multiply (multiply ?14740 identity) (multiply (multiply ?14740 ?14740) identity)) identity) =?= multiply identity (multiply (multiply identity (multiply (multiply identity identity) identity)) identity) [14740] by Demod 22341 with 591 at 3
% 10.42/2.91 Id : 22343, {_}: multiply ?14740 (multiply (multiply (multiply ?14740 (multiply ?14740 ?14740)) identity) identity) =?= multiply identity (multiply (multiply identity (multiply (multiply identity identity) identity)) identity) [14740] by Demod 22342 with 15877 at 1,2,2
% 10.42/2.91 Id : 9, {_}: multiply ?25 (multiply (multiply ?25 (multiply (multiply ?25 ?25) identity)) (multiply identity (multiply identity identity))) =>= identity [25] by Super 2 with 3 at 2,2,1,2,2
% 10.42/2.91 Id : 14, {_}: multiply ?25 (multiply (multiply ?25 (multiply (multiply ?25 ?25) identity)) (multiply identity identity)) =>= identity [25] by Demod 9 with 3 at 2,2,2,2
% 10.42/2.91 Id : 15, {_}: multiply ?25 (multiply (multiply ?25 (multiply (multiply ?25 ?25) identity)) identity) =>= identity [25] by Demod 14 with 3 at 2,2,2
% 10.42/2.91 Id : 22344, {_}: multiply ?14740 (multiply (multiply (multiply ?14740 (multiply ?14740 ?14740)) identity) identity) =>= identity [14740] by Demod 22343 with 15 at 3
% 10.42/2.91 Id : 24006, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) (multiply (multiply ?16164 (multiply (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity) identity)) identity)) (multiply (multiply (multiply ?16164 ?16164) (multiply (multiply ?16164 (multiply (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity) identity)) identity)) (multiply (multiply ?16164 ?16164) (multiply identity identity))))) =>= ?16164 [16164] by Super 3188 with 22344 at 1,2,2,2,2,2,2
% 10.42/2.91 Id : 24421, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) (multiply identity identity)) (multiply (multiply (multiply ?16164 ?16164) (multiply (multiply ?16164 (multiply (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity) identity)) identity)) (multiply (multiply ?16164 ?16164) (multiply identity identity))))) =>= ?16164 [16164] by Demod 24006 with 22344 at 1,2,1,2,2,2
% 10.42/2.91 Id : 24422, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) (multiply identity identity)) (multiply (multiply (multiply ?16164 ?16164) (multiply identity identity)) (multiply (multiply ?16164 ?16164) (multiply identity identity))))) =>= ?16164 [16164] by Demod 24421 with 22344 at 1,2,1,2,2,2,2
% 10.42/2.91 Id : 24423, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) (multiply identity identity)) (multiply (multiply (multiply ?16164 ?16164) (multiply identity identity)) (multiply (multiply ?16164 ?16164) identity)))) =>= ?16164 [16164] by Demod 24422 with 3 at 2,2,2,2,2,2
% 10.42/2.91 Id : 24424, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) identity) (multiply (multiply (multiply ?16164 ?16164) (multiply identity identity)) (multiply (multiply ?16164 ?16164) identity)))) =>= ?16164 [16164] by Demod 24423 with 3 at 2,1,2,2,2
% 10.42/2.91 Id : 24425, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) identity) (multiply (multiply (multiply ?16164 ?16164) identity) (multiply (multiply ?16164 ?16164) identity)))) =>= ?16164 [16164] by Demod 24424 with 3 at 2,1,2,2,2,2
% 10.42/2.91 Id : 24426, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) identity) (multiply (multiply (multiply ?16164 ?16164) (multiply ?16164 ?16164)) identity))) =>= ?16164 [16164] by Demod 24425 with 15877 at 2,2,2,2
% 10.42/2.91 Id : 24427, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 (multiply ?16164 ?16164)) identity))) (multiply (multiply (multiply ?16164 ?16164) (multiply (multiply ?16164 ?16164) (multiply ?16164 ?16164))) identity)) =>= ?16164 [16164] by Demod 24426 with 15877 at 2,2,2
% 10.42/2.91 Id : 17227, {_}: multiply (multiply identity (multiply identity (multiply ?12411 identity))) (multiply ?12412 identity) =>= multiply (multiply (multiply identity (multiply identity ?12411)) ?12412) identity [12412, 12411] by Super 17215 with 591 at 2,1,2
% 10.42/2.91 Id : 24428, {_}: multiply identity (multiply (multiply (multiply identity (multiply identity (multiply ?16164 (multiply ?16164 ?16164)))) (multiply (multiply ?16164 ?16164) (multiply (multiply ?16164 ?16164) (multiply ?16164 ?16164)))) identity) =>= ?16164 [16164] by Demod 24427 with 17227 at 2,2
% 10.42/2.91 Id : 24429, {_}: multiply identity (multiply (multiply identity (multiply identity (multiply (multiply ?16164 identity) identity))) identity) =>= ?16164 [16164] by Demod 24428 with 839 at 1,2,2
% 10.42/2.91 Id : 24430, {_}: multiply identity (multiply identity (multiply (multiply identity (multiply (multiply ?16164 identity) identity)) identity)) =>= ?16164 [16164] by Demod 24429 with 591 at 2,2
% 10.42/2.91 Id : 24431, {_}: multiply identity (multiply identity (multiply identity (multiply (multiply (multiply ?16164 identity) identity) identity))) =>= ?16164 [16164] by Demod 24430 with 591 at 2,2,2
% 10.42/2.91 Id : 24432, {_}: multiply ?16164 identity =>= ?16164 [16164] by Demod 24431 with 377 at 2
% 10.42/2.91 Id : 24844, {_}: multiply (multiply ?404 ?404) (multiply ?404 (multiply (multiply ?404 ?405) identity)) =>= ?405 [405, 404] by Demod 280 with 24432 at 2,2
% 10.42/2.91 Id : 24845, {_}: multiply (multiply ?404 ?404) (multiply ?404 (multiply ?404 ?405)) =>= ?405 [405, 404] by Demod 24844 with 24432 at 2,2,2
% 10.42/2.91 Id : 7906, {_}: multiply identity (multiply (multiply (multiply ?5830 (multiply (multiply ?5830 ?5830) (multiply (multiply ?5830 ?5831) ?5832))) identity) identity) =>= multiply (multiply identity ?5831) ?5832 [5832, 5831, 5830] by Super 3382 with 280 at 2,1,3
% 10.42/2.91 Id : 8234, {_}: multiply identity (multiply (multiply (multiply ?6216 (multiply (multiply ?6216 ?6216) ?6217)) identity) identity) =<= multiply (multiply identity ?6216) (multiply (multiply ?6216 (multiply (multiply ?6216 ?6217) identity)) identity) [6217, 6216] by Super 7906 with 280 at 2,2,1,1,2,2
% 10.42/2.91 Id : 638, {_}: multiply ?801 (multiply (multiply ?801 (multiply (multiply ?801 ?801) (multiply identity (multiply ?802 identity)))) identity) =>= multiply identity ?802 [802, 801] by Super 13 with 591 at 2,2,1,2,2
% 10.42/2.91 Id : 8243, {_}: multiply identity (multiply (multiply (multiply ?6241 (multiply (multiply ?6241 ?6241) (multiply (multiply ?6241 (multiply (multiply ?6241 ?6241) (multiply identity (multiply ?6242 identity)))) identity))) identity) identity) =>= multiply (multiply identity ?6241) (multiply (multiply ?6241 (multiply (multiply identity ?6242) identity)) identity) [6242, 6241] by Super 8234 with 638 at 1,2,1,2,3
% 10.42/2.91 Id : 8585, {_}: multiply (multiply identity (multiply (multiply ?6241 ?6241) (multiply identity (multiply ?6242 identity)))) identity =?= multiply (multiply identity ?6241) (multiply (multiply ?6241 (multiply (multiply identity ?6242) identity)) identity) [6242, 6241] by Demod 8243 with 3399 at 2
% 10.42/2.91 Id : 8586, {_}: multiply (multiply identity (multiply (multiply ?6241 ?6241) (multiply identity (multiply ?6242 identity)))) identity =?= multiply (multiply identity ?6241) (multiply (multiply ?6241 (multiply identity (multiply ?6242 identity))) identity) [6242, 6241] by Demod 8585 with 591 at 2,1,2,3
% 10.42/2.91 Id : 10521, {_}: multiply identity (multiply (multiply (multiply ?7110 ?7110) (multiply identity (multiply ?7111 identity))) identity) =<= multiply (multiply identity ?7110) (multiply (multiply ?7110 (multiply identity (multiply ?7111 identity))) identity) [7111, 7110] by Demod 8586 with 591 at 2
% 10.42/2.91 Id : 10527, {_}: multiply identity (multiply (multiply (multiply ?7129 ?7129) (multiply identity (multiply (multiply identity (multiply (multiply identity identity) (multiply ?7130 identity))) identity))) identity) =>= multiply (multiply identity ?7129) (multiply (multiply ?7129 ?7130) identity) [7130, 7129] by Super 10521 with 13 at 2,1,2,3
% 10.42/2.91 Id : 10776, {_}: multiply identity (multiply (multiply (multiply ?7129 ?7129) ?7130) identity) =<= multiply (multiply identity ?7129) (multiply (multiply ?7129 ?7130) identity) [7130, 7129] by Demod 10527 with 13 at 2,1,2,2
% 10.42/2.91 Id : 12296, {_}: multiply (multiply ?8472 ?8473) ?8474 =<= multiply (multiply ?8472 (multiply identity (multiply identity (multiply (multiply (multiply identity ?8473) ?8474) identity)))) identity [8474, 8473, 8472] by Super 12260 with 7995 at 2,1,3
% 10.42/2.91 Id : 13580, {_}: multiply identity (multiply (multiply (multiply ?9441 ?9441) (multiply identity (multiply identity (multiply (multiply (multiply identity ?9442) ?9443) identity)))) identity) =>= multiply (multiply identity ?9441) (multiply (multiply ?9441 ?9442) ?9443) [9443, 9442, 9441] by Super 10776 with 12296 at 2,3
% 10.42/2.91 Id : 13835, {_}: multiply identity (multiply (multiply (multiply ?9441 ?9441) ?9442) ?9443) =<= multiply (multiply identity ?9441) (multiply (multiply ?9441 ?9442) ?9443) [9443, 9442, 9441] by Demod 13580 with 12296 at 2,2
% 10.42/2.91 Id : 25015, {_}: multiply identity (multiply (multiply (multiply ?16406 ?16406) identity) ?16407) =>= multiply (multiply identity ?16406) (multiply ?16406 ?16407) [16407, 16406] by Super 13835 with 24432 at 1,2,3
% 10.42/2.91 Id : 25427, {_}: multiply identity (multiply (multiply ?16764 ?16764) ?16765) =<= multiply (multiply identity ?16764) (multiply ?16764 ?16765) [16765, 16764] by Demod 25015 with 24432 at 1,2,2
% 10.42/2.91 Id : 1249, {_}: multiply identity (multiply identity (multiply (multiply ?1343 identity) identity)) =<= multiply (multiply identity (multiply identity (multiply ?1343 ?1344))) (multiply ?1344 (multiply ?1344 ?1344)) [1344, 1343] by Demod 838 with 591 at 2,2
% 10.42/2.91 Id : 1270, {_}: multiply identity (multiply identity (multiply (multiply identity identity) identity)) =<= multiply ?1404 (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply ?1404 identity) identity))) [1404] by Super 1249 with 377 at 1,3
% 10.42/2.91 Id : 1364, {_}: multiply identity (multiply identity (multiply identity (multiply identity identity))) =<= multiply ?1404 (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply ?1404 identity) identity))) [1404] by Demod 1270 with 591 at 2,2,2
% 10.42/2.91 Id : 1365, {_}: multiply identity (multiply identity (multiply identity identity)) =<= multiply ?1404 (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply ?1404 identity) identity))) [1404] by Demod 1364 with 3 at 2,2,2,2
% 10.42/2.91 Id : 1366, {_}: multiply identity (multiply identity identity) =<= multiply ?1404 (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply ?1404 identity) identity))) [1404] by Demod 1365 with 3 at 2,2,2
% 10.42/2.91 Id : 1367, {_}: multiply identity identity =<= multiply ?1404 (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply ?1404 identity) identity))) [1404] by Demod 1366 with 3 at 2,2
% 10.42/2.91 Id : 1368, {_}: identity =<= multiply ?1404 (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply (multiply ?1404 identity) identity) (multiply (multiply ?1404 identity) identity))) [1404] by Demod 1367 with 3 at 2
% 10.42/2.91 Id : 6811, {_}: multiply (multiply ?5316 ?5316) (multiply (multiply ?5316 (multiply identity identity)) identity) =<= multiply (multiply (multiply ?5316 identity) identity) (multiply (multiply (multiply ?5316 identity) identity) (multiply (multiply ?5316 identity) identity)) [5316] by Super 280 with 1368 at 1,2,1,2,2
% 10.42/2.91 Id : 6903, {_}: multiply (multiply ?5316 ?5316) (multiply (multiply ?5316 identity) identity) =<= multiply (multiply (multiply ?5316 identity) identity) (multiply (multiply (multiply ?5316 identity) identity) (multiply (multiply ?5316 identity) identity)) [5316] by Demod 6811 with 3 at 2,1,2,2
% 10.42/2.91 Id : 7189, {_}: identity =<= multiply ?1404 (multiply (multiply ?1404 ?1404) (multiply (multiply ?1404 identity) identity)) [1404] by Demod 1368 with 6903 at 2,3
% 10.42/2.91 Id : 24807, {_}: identity =<= multiply ?1404 (multiply (multiply ?1404 ?1404) (multiply ?1404 identity)) [1404] by Demod 7189 with 24432 at 2,2,3
% 10.42/2.91 Id : 24808, {_}: identity =<= multiply ?1404 (multiply (multiply ?1404 ?1404) ?1404) [1404] by Demod 24807 with 24432 at 2,2,3
% 10.42/2.91 Id : 25449, {_}: multiply identity (multiply (multiply ?16832 ?16832) (multiply (multiply ?16832 ?16832) ?16832)) =>= multiply (multiply identity ?16832) identity [16832] by Super 25427 with 24808 at 2,3
% 10.42/2.91 Id : 26032, {_}: multiply identity (multiply (multiply ?16832 ?16832) (multiply (multiply ?16832 ?16832) ?16832)) =>= multiply identity ?16832 [16832] by Demod 25449 with 24432 at 3
% 10.42/2.91 Id : 26189, {_}: multiply (multiply identity identity) (multiply identity (multiply identity ?17028)) =?= multiply (multiply ?17028 ?17028) (multiply (multiply ?17028 ?17028) ?17028) [17028] by Super 24845 with 26032 at 2,2,2
% 10.42/2.91 Id : 26278, {_}: ?17028 =<= multiply (multiply ?17028 ?17028) (multiply (multiply ?17028 ?17028) ?17028) [17028] by Demod 26189 with 24845 at 2
% 10.42/2.91 Id : 26525, {_}: multiply (multiply (multiply ?17157 ?17157) (multiply ?17157 ?17157)) ?17157 =>= ?17157 [17157] by Super 24845 with 26278 at 2,2
% 10.42/2.91 Id : 114, {_}: multiply ?175 (multiply (multiply ?175 identity) (multiply identity (multiply identity identity))) =?= multiply (multiply ?175 ?175) (multiply (multiply (multiply ?175 ?175) (multiply ?175 ?175)) identity) [175] by Super 2 with 15 at 2,1,2,2
% 10.42/2.91 Id : 155, {_}: multiply ?175 (multiply (multiply ?175 identity) (multiply identity identity)) =<= multiply (multiply ?175 ?175) (multiply (multiply (multiply ?175 ?175) (multiply ?175 ?175)) identity) [175] by Demod 114 with 3 at 2,2,2,2
% 10.42/2.91 Id : 156, {_}: multiply ?175 (multiply (multiply ?175 identity) identity) =<= multiply (multiply ?175 ?175) (multiply (multiply (multiply ?175 ?175) (multiply ?175 ?175)) identity) [175] by Demod 155 with 3 at 2,2,2
% 10.42/2.91 Id : 1390, {_}: multiply ?1469 (multiply (multiply ?1469 (multiply ?1469 (multiply (multiply ?1469 identity) identity))) identity) =>= multiply (multiply ?1469 ?1469) (multiply ?1469 ?1469) [1469] by Super 13 with 156 at 2,1,2,2
% 10.42/2.91 Id : 24839, {_}: multiply ?1469 (multiply ?1469 (multiply ?1469 (multiply (multiply ?1469 identity) identity))) =>= multiply (multiply ?1469 ?1469) (multiply ?1469 ?1469) [1469] by Demod 1390 with 24432 at 2,2
% 10.42/2.91 Id : 24840, {_}: multiply ?1469 (multiply ?1469 (multiply ?1469 (multiply ?1469 identity))) =>= multiply (multiply ?1469 ?1469) (multiply ?1469 ?1469) [1469] by Demod 24839 with 24432 at 2,2,2,2
% 10.42/2.91 Id : 24841, {_}: multiply ?1469 (multiply ?1469 (multiply ?1469 ?1469)) =?= multiply (multiply ?1469 ?1469) (multiply ?1469 ?1469) [1469] by Demod 24840 with 24432 at 2,2,2,2
% 10.42/2.91 Id : 24851, {_}: multiply ?25 (multiply ?25 (multiply (multiply ?25 ?25) identity)) =>= identity [25] by Demod 15 with 24432 at 2,2
% 10.42/2.91 Id : 24852, {_}: multiply ?25 (multiply ?25 (multiply ?25 ?25)) =>= identity [25] by Demod 24851 with 24432 at 2,2,2
% 10.42/2.91 Id : 24940, {_}: identity =<= multiply (multiply ?1469 ?1469) (multiply ?1469 ?1469) [1469] by Demod 24841 with 24852 at 2
% 10.42/2.91 Id : 26618, {_}: multiply identity ?17157 =>= ?17157 [17157] by Demod 26525 with 24940 at 1,2
% 10.42/2.91 Id : 27598, {_}: a === a [] by Demod 1 with 26618 at 2
% 10.42/2.91 Id : 1, {_}: multiply identity a =>= a [] by prove_order3
% 10.42/2.91 % SZS output end CNFRefutation for theBenchmark.p
% 10.42/2.91 11928: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 2.564143 using nrkbo
%------------------------------------------------------------------------------