TSTP Solution File: GRP202-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : GRP202-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:29:36 EDT 2022

% Result   : Unsatisfiable 7.20s 2.11s
% Output   : CNFRefutation 7.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GRP202-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35  % Computer : n010.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 : Tue Jun 14 13:35:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  9468: Facts:
% 0.13/0.35  9468:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.13/0.35  9468:  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 0.13/0.35  9468:  Id :   4, {_}:
% 0.13/0.35            multiply ?6 (left_division ?6 ?7) =>= ?7
% 0.13/0.35            [7, 6] by multiply_left_division ?6 ?7
% 0.13/0.35  9468:  Id :   5, {_}:
% 0.13/0.35            left_division ?9 (multiply ?9 ?10) =>= ?10
% 0.13/0.35            [10, 9] by left_division_multiply ?9 ?10
% 0.13/0.35  9468:  Id :   6, {_}:
% 0.13/0.35            multiply (right_division ?12 ?13) ?13 =>= ?12
% 0.13/0.35            [13, 12] by multiply_right_division ?12 ?13
% 0.13/0.35  9468:  Id :   7, {_}:
% 0.13/0.35            right_division (multiply ?15 ?16) ?16 =>= ?15
% 0.13/0.35            [16, 15] by right_division_multiply ?15 ?16
% 0.13/0.35  9468:  Id :   8, {_}:
% 0.13/0.35            multiply ?18 (right_inverse ?18) =>= identity
% 0.13/0.35            [18] by right_inverse ?18
% 0.13/0.35  9468:  Id :   9, {_}:
% 0.13/0.35            multiply (left_inverse ?20) ?20 =>= identity
% 0.13/0.35            [20] by left_inverse ?20
% 0.13/0.35  9468:  Id :  10, {_}:
% 0.13/0.35            multiply (multiply (multiply ?22 ?23) ?22) ?24
% 0.13/0.35            =?=
% 0.13/0.35            multiply ?22 (multiply ?23 (multiply ?22 ?24))
% 0.13/0.35            [24, 23, 22] by moufang3 ?22 ?23 ?24
% 0.13/0.35  9468: Goal:
% 0.13/0.35  9468:  Id :   1, {_}:
% 0.13/0.35            multiply (multiply a (multiply b c)) a
% 0.13/0.35            =>=
% 0.13/0.35            multiply (multiply a b) (multiply c a)
% 0.13/0.35            [] by prove_moufang1
% 7.20/2.11  Statistics :
% 7.20/2.11  Max weight : 20
% 7.20/2.11  Found proof, 1.757988s
% 7.20/2.11  % SZS status Unsatisfiable for theBenchmark.p
% 7.20/2.11  % SZS output start CNFRefutation for theBenchmark.p
% 7.20/2.11  Id :  56, {_}: multiply (multiply (multiply ?126 ?127) ?126) ?128 =>= multiply ?126 (multiply ?127 (multiply ?126 ?128)) [128, 127, 126] by moufang3 ?126 ?127 ?128
% 7.20/2.11  Id :   4, {_}: multiply ?6 (left_division ?6 ?7) =>= ?7 [7, 6] by multiply_left_division ?6 ?7
% 7.20/2.11  Id :   5, {_}: left_division ?9 (multiply ?9 ?10) =>= ?10 [10, 9] by left_division_multiply ?9 ?10
% 7.20/2.11  Id :   9, {_}: multiply (left_inverse ?20) ?20 =>= identity [20] by left_inverse ?20
% 7.20/2.11  Id :   8, {_}: multiply ?18 (right_inverse ?18) =>= identity [18] by right_inverse ?18
% 7.20/2.11  Id :   6, {_}: multiply (right_division ?12 ?13) ?13 =>= ?12 [13, 12] by multiply_right_division ?12 ?13
% 7.20/2.11  Id :   7, {_}: right_division (multiply ?15 ?16) ?16 =>= ?15 [16, 15] by right_division_multiply ?15 ?16
% 7.20/2.11  Id :  10, {_}: multiply (multiply (multiply ?22 ?23) ?22) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by moufang3 ?22 ?23 ?24
% 7.20/2.11  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 7.20/2.11  Id :  53, {_}: multiply ?115 (multiply ?116 (multiply ?115 identity)) =>= multiply (multiply ?115 ?116) ?115 [116, 115] by Super 3 with 10 at 2
% 7.20/2.11  Id :  70, {_}: multiply ?115 (multiply ?116 ?115) =<= multiply (multiply ?115 ?116) ?115 [116, 115] by Demod 53 with 3 at 2,2,2
% 7.20/2.11  Id : 564, {_}: right_division (multiply ?710 (multiply ?711 ?710)) ?710 =>= multiply ?710 ?711 [711, 710] by Super 7 with 70 at 1,2
% 7.20/2.11  Id : 568, {_}: right_division (multiply ?720 ?721) ?720 =<= multiply ?720 (right_division ?721 ?720) [721, 720] by Super 564 with 6 at 2,1,2
% 7.20/2.11  Id :  55, {_}: right_division (multiply ?122 (multiply ?123 (multiply ?122 ?124))) ?124 =>= multiply (multiply ?122 ?123) ?122 [124, 123, 122] by Super 7 with 10 at 1,2
% 7.20/2.11  Id : 1875, {_}: right_division (multiply ?2527 (multiply ?2528 (multiply ?2527 ?2529))) ?2529 =>= multiply ?2527 (multiply ?2528 ?2527) [2529, 2528, 2527] by Demod 55 with 70 at 3
% 7.20/2.11  Id :  51, {_}: multiply ?108 (multiply ?109 (multiply ?108 (right_inverse (multiply (multiply ?108 ?109) ?108)))) =>= identity [109, 108] by Super 8 with 10 at 2
% 7.20/2.11  Id : 282, {_}: multiply ?401 (multiply ?402 (multiply ?401 (right_inverse (multiply ?401 (multiply ?402 ?401))))) =>= identity [402, 401] by Demod 51 with 70 at 1,2,2,2,2
% 7.20/2.11  Id : 287, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (multiply (right_inverse ?414) identity)))) =>= identity [414] by Super 282 with 8 at 2,1,2,2,2,2
% 7.20/2.11  Id : 316, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (right_inverse ?414)))) =>= identity [414] by Demod 287 with 3 at 1,2,2,2,2
% 7.20/2.11  Id : 317, {_}: multiply (right_inverse ?414) (multiply ?414 identity) =>= identity [414] by Demod 316 with 8 at 2,2,2
% 7.20/2.11  Id : 318, {_}: multiply (right_inverse ?414) ?414 =>= identity [414] by Demod 317 with 3 at 2,2
% 7.20/2.11  Id : 347, {_}: right_division identity ?453 =>= right_inverse ?453 [453] by Super 7 with 318 at 1,2
% 7.20/2.11  Id :  45, {_}: right_division identity ?99 =>= left_inverse ?99 [99] by Super 7 with 9 at 1,2
% 7.20/2.11  Id : 368, {_}: left_inverse ?453 =<= right_inverse ?453 [453] by Demod 347 with 45 at 2
% 7.20/2.11  Id : 374, {_}: multiply ?18 (left_inverse ?18) =>= identity [18] by Demod 8 with 368 at 2,2
% 7.20/2.11  Id : 1881, {_}: right_division (multiply ?2550 (multiply ?2551 identity)) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Super 1875 with 374 at 2,2,1,2
% 7.20/2.11  Id : 1928, {_}: right_division (multiply ?2550 ?2551) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Demod 1881 with 3 at 2,1,2
% 7.20/2.11  Id : 2110, {_}: right_division (multiply (left_inverse ?2786) (multiply ?2786 ?2787)) (left_inverse ?2786) =>= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Super 568 with 1928 at 2,3
% 7.20/2.11  Id :  52, {_}: multiply ?111 (multiply ?112 (multiply ?111 (left_division (multiply (multiply ?111 ?112) ?111) ?113))) =>= ?113 [113, 112, 111] by Super 4 with 10 at 2
% 7.20/2.11  Id : 617, {_}: multiply ?798 (multiply ?799 (multiply ?798 (left_division (multiply ?798 (multiply ?799 ?798)) ?800))) =>= ?800 [800, 799, 798] by Demod 52 with 70 at 1,2,2,2,2
% 7.20/2.11  Id : 622, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division (multiply ?816 identity) ?817))) =>= ?817 [817, 816] by Super 617 with 9 at 2,1,2,2,2,2
% 7.20/2.11  Id : 659, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division ?816 ?817))) =>= ?817 [817, 816] by Demod 622 with 3 at 1,2,2,2,2
% 7.20/2.11  Id : 660, {_}: multiply ?816 (multiply (left_inverse ?816) ?817) =>= ?817 [817, 816] by Demod 659 with 4 at 2,2,2
% 7.20/2.11  Id : 754, {_}: left_division ?1007 ?1008 =<= multiply (left_inverse ?1007) ?1008 [1008, 1007] by Super 5 with 660 at 2,2
% 7.20/2.11  Id : 2138, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =<= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2110 with 754 at 1,2
% 7.20/2.11  Id : 2139, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =>= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2138 with 754 at 3
% 7.20/2.11  Id : 2140, {_}: right_division ?2787 (left_inverse ?2786) =<= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2786, 2787] by Demod 2139 with 5 at 1,2
% 7.20/2.11  Id : 2141, {_}: right_division ?2787 (left_inverse ?2786) =>= multiply ?2787 ?2786 [2786, 2787] by Demod 2140 with 5 at 3
% 7.20/2.11  Id : 926, {_}: right_division (left_division ?1218 ?1219) ?1219 =>= left_inverse ?1218 [1219, 1218] by Super 7 with 754 at 1,2
% 7.20/2.11  Id :  28, {_}: left_division (right_division ?62 ?63) ?62 =>= ?63 [63, 62] by Super 5 with 6 at 2,2
% 7.20/2.11  Id : 929, {_}: right_division ?1226 ?1227 =<= left_inverse (right_division ?1227 ?1226) [1227, 1226] by Super 926 with 28 at 1,2
% 7.20/2.11  Id : 2784, {_}: multiply (multiply ?3616 ?3617) ?3618 =<= multiply ?3617 (multiply (left_division ?3617 ?3616) (multiply ?3617 ?3618)) [3618, 3617, 3616] by Super 56 with 4 at 1,1,2
% 7.20/2.11  Id : 2787, {_}: multiply (multiply ?3626 ?3627) (left_division ?3627 ?3628) =>= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Super 2784 with 4 at 2,2,3
% 7.20/2.11  Id : 2209, {_}: right_division (left_inverse ?2889) ?2890 =>= left_inverse (multiply ?2890 ?2889) [2890, 2889] by Super 929 with 2141 at 1,3
% 7.20/2.11  Id : 2274, {_}: left_inverse (multiply (left_inverse ?2961) ?2962) =>= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Super 2141 with 2209 at 2
% 7.20/2.11  Id : 2285, {_}: left_inverse (left_division ?2961 ?2962) =<= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Demod 2274 with 754 at 1,2
% 7.20/2.11  Id : 2286, {_}: left_inverse (left_division ?2961 ?2962) =>= left_division ?2962 ?2961 [2962, 2961] by Demod 2285 with 754 at 3
% 7.20/2.11  Id : 2448, {_}: right_division ?3131 (left_division ?3132 ?3133) =<= multiply ?3131 (left_division ?3133 ?3132) [3133, 3132, 3131] by Super 2141 with 2286 at 2,2
% 7.20/2.11  Id : 7771, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Demod 2787 with 2448 at 2
% 7.20/2.11  Id : 762, {_}: multiply ?1028 (multiply (left_inverse ?1028) ?1029) =>= ?1029 [1029, 1028] by Demod 659 with 4 at 2,2,2
% 7.20/2.11  Id : 766, {_}: multiply ?1038 ?1039 =<= left_division (left_inverse ?1038) ?1039 [1039, 1038] by Super 762 with 4 at 2,2
% 7.20/2.11  Id : 2444, {_}: multiply (left_division ?3117 ?3118) ?3119 =>= left_division (left_division ?3118 ?3117) ?3119 [3119, 3118, 3117] by Super 766 with 2286 at 1,3
% 7.20/2.11  Id : 7772, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (left_division (left_division ?3626 ?3627) ?3628) [3628, 3627, 3626] by Demod 7771 with 2444 at 2,3
% 7.20/2.11  Id : 7773, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =>= right_division ?3627 (left_division ?3628 (left_division ?3626 ?3627)) [3628, 3627, 3626] by Demod 7772 with 2448 at 3
% 7.20/2.11  Id : 7786, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= left_inverse (right_division ?8595 (left_division ?8594 (left_division ?8596 ?8595))) [8596, 8595, 8594] by Super 929 with 7773 at 1,3
% 7.20/2.11  Id : 7840, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= right_division (left_division ?8594 (left_division ?8596 ?8595)) ?8595 [8596, 8595, 8594] by Demod 7786 with 929 at 3
% 7.20/2.11  Id : 21080, {_}: right_division (left_division ?21081 (left_inverse ?21082)) (multiply ?21083 (left_inverse ?21082)) =>= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21082, 21081] by Super 2141 with 7840 at 2
% 7.20/2.11  Id : 2213, {_}: right_division ?2901 (left_inverse ?2902) =>= multiply ?2901 ?2902 [2902, 2901] by Demod 2140 with 5 at 3
% 7.20/2.11  Id :  40, {_}: left_division ?91 identity =>= right_inverse ?91 [91] by Super 5 with 8 at 2,2
% 7.20/2.11  Id : 177, {_}: ?263 =<= right_inverse (right_division identity ?263) [263] by Super 40 with 28 at 2
% 7.20/2.11  Id : 184, {_}: ?263 =<= right_inverse (left_inverse ?263) [263] by Demod 177 with 45 at 1,3
% 7.20/2.11  Id : 377, {_}: ?263 =<= left_inverse (left_inverse ?263) [263] by Demod 184 with 368 at 3
% 7.20/2.11  Id : 2215, {_}: right_division ?2906 ?2907 =<= multiply ?2906 (left_inverse ?2907) [2907, 2906] by Super 2213 with 377 at 2,2
% 7.20/2.11  Id : 2318, {_}: left_division ?3010 (left_inverse ?3011) =>= right_division (left_inverse ?3010) ?3011 [3011, 3010] by Super 754 with 2215 at 3
% 7.20/2.11  Id : 2409, {_}: left_division ?3010 (left_inverse ?3011) =>= left_inverse (multiply ?3011 ?3010) [3011, 3010] by Demod 2318 with 2209 at 3
% 7.20/2.11  Id : 21195, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (multiply ?21083 (left_inverse ?21082)) =>= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21081, 21082] by Demod 21080 with 2409 at 1,2
% 7.20/2.11  Id : 21196, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (right_division ?21083 ?21082) =<= multiply (left_division ?21081 (left_division ?21083 (left_inverse ?21082))) ?21082 [21083, 21081, 21082] by Demod 21195 with 2215 at 2,2
% 7.20/2.11  Id : 21197, {_}: right_division (left_inverse (multiply ?21082 ?21081)) (right_division ?21083 ?21082) =<= left_division (left_division (left_division ?21083 (left_inverse ?21082)) ?21081) ?21082 [21083, 21081, 21082] by Demod 21196 with 2444 at 3
% 7.20/2.11  Id : 21198, {_}: left_inverse (multiply (right_division ?21083 ?21082) (multiply ?21082 ?21081)) =<= left_division (left_division (left_division ?21083 (left_inverse ?21082)) ?21081) ?21082 [21081, 21082, 21083] by Demod 21197 with 2209 at 2
% 7.20/2.11  Id : 21199, {_}: left_inverse (multiply (right_division ?21083 ?21082) (multiply ?21082 ?21081)) =<= left_division (left_division (left_inverse (multiply ?21082 ?21083)) ?21081) ?21082 [21081, 21082, 21083] by Demod 21198 with 2409 at 1,1,3
% 7.20/2.11  Id : 947, {_}: multiply (right_division ?1240 ?1241) ?1242 =>= left_division (right_division ?1241 ?1240) ?1242 [1242, 1241, 1240] by Super 766 with 929 at 1,3
% 7.20/2.11  Id : 21200, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =<= left_division (left_division (left_inverse (multiply ?21082 ?21083)) ?21081) ?21082 [21081, 21083, 21082] by Demod 21199 with 947 at 1,2
% 7.20/2.11  Id : 21201, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =>= left_division (multiply (multiply ?21082 ?21083) ?21081) ?21082 [21081, 21083, 21082] by Demod 21200 with 766 at 1,3
% 7.20/2.11  Id : 33625, {_}: left_division (multiply ?32560 ?32561) (right_division ?32560 ?32562) =<= left_division (multiply (multiply ?32560 ?32562) ?32561) ?32560 [32562, 32561, 32560] by Demod 21201 with 2286 at 2
% 7.20/2.11  Id : 33639, {_}: left_division (multiply ?32621 ?32622) (right_division ?32621 (left_inverse ?32623)) =>= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Super 33625 with 2215 at 1,1,3
% 7.20/2.11  Id : 33841, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Demod 33639 with 2141 at 2,2
% 7.20/2.11  Id : 33842, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (left_division (right_division ?32623 ?32621) ?32622) ?32621 [32623, 32622, 32621] by Demod 33841 with 947 at 1,3
% 7.20/2.11  Id : 7794, {_}: right_division (multiply ?8626 ?8627) (left_division ?8628 ?8627) =>= right_division ?8627 (left_division ?8628 (left_division ?8626 ?8627)) [8628, 8627, 8626] by Demod 7772 with 2448 at 3
% 7.20/2.11  Id : 7805, {_}: right_division (multiply ?8669 (left_inverse ?8670)) (left_inverse (multiply ?8670 ?8671)) =>= right_division (left_inverse ?8670) (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) [8671, 8670, 8669] by Super 7794 with 2409 at 2,2
% 7.20/2.11  Id : 7868, {_}: multiply (multiply ?8669 (left_inverse ?8670)) (multiply ?8670 ?8671) =<= right_division (left_inverse ?8670) (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) [8671, 8670, 8669] by Demod 7805 with 2141 at 2
% 7.20/2.11  Id : 7869, {_}: multiply (multiply ?8669 (left_inverse ?8670)) (multiply ?8670 ?8671) =<= left_inverse (multiply (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) ?8670) [8671, 8670, 8669] by Demod 7868 with 2209 at 3
% 7.20/2.11  Id : 7870, {_}: multiply (right_division ?8669 ?8670) (multiply ?8670 ?8671) =<= left_inverse (multiply (left_division ?8671 (left_division ?8669 (left_inverse ?8670))) ?8670) [8671, 8670, 8669] by Demod 7869 with 2215 at 1,2
% 7.20/2.11  Id : 7871, {_}: multiply (right_division ?8669 ?8670) (multiply ?8670 ?8671) =<= left_inverse (left_division (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) ?8670) [8671, 8670, 8669] by Demod 7870 with 2444 at 1,3
% 7.20/2.11  Id : 7872, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_inverse (left_division (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) ?8670) [8671, 8669, 8670] by Demod 7871 with 947 at 2
% 7.20/2.11  Id : 7873, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_division ?8670 (left_division (left_division ?8669 (left_inverse ?8670)) ?8671) [8671, 8669, 8670] by Demod 7872 with 2286 at 3
% 7.20/2.11  Id : 7874, {_}: left_division (right_division ?8670 ?8669) (multiply ?8670 ?8671) =<= left_division ?8670 (left_division (left_inverse (multiply ?8670 ?8669)) ?8671) [8671, 8669, 8670] by Demod 7873 with 2409 at 1,2,3
% 7.20/2.11  Id : 21410, {_}: left_division (right_division ?21608 ?21609) (multiply ?21608 ?21610) =>= left_division ?21608 (multiply (multiply ?21608 ?21609) ?21610) [21610, 21609, 21608] by Demod 7874 with 766 at 2,3
% 7.20/2.11  Id : 21443, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =<= left_division ?21745 (multiply (multiply ?21745 (left_inverse ?21746)) ?21747) [21747, 21746, 21745] by Super 21410 with 2141 at 1,2
% 7.20/2.11  Id : 21647, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (multiply (right_division ?21745 ?21746) ?21747) [21747, 21746, 21745] by Demod 21443 with 2215 at 1,2,3
% 7.20/2.11  Id : 21648, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (left_division (right_division ?21746 ?21745) ?21747) [21747, 21746, 21745] by Demod 21647 with 947 at 2,3
% 7.20/2.11  Id : 43757, {_}: left_division ?42768 (left_division (right_division ?42769 ?42768) ?42770) =<= left_division (left_division (right_division ?42770 ?42768) ?42769) ?42768 [42770, 42769, 42768] by Demod 33842 with 21648 at 2
% 7.20/2.11  Id : 835, {_}: multiply (left_inverse ?1117) (multiply ?1118 (left_inverse ?1117)) =>= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Super 70 with 754 at 1,3
% 7.20/2.11  Id : 865, {_}: left_division ?1117 (multiply ?1118 (left_inverse ?1117)) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 835 with 754 at 2
% 7.20/2.11  Id : 2305, {_}: left_division ?1117 (right_division ?1118 ?1117) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 865 with 2215 at 2,2
% 7.20/2.11  Id : 2306, {_}: left_division ?1117 (right_division ?1118 ?1117) =>= right_division (left_division ?1117 ?1118) ?1117 [1118, 1117] by Demod 2305 with 2215 at 3
% 7.20/2.11  Id : 43818, {_}: left_division ?43029 (left_division (right_division (right_division ?43030 (right_division ?43031 ?43029)) ?43029) ?43031) =<= left_division (right_division (left_division (right_division ?43031 ?43029) ?43030) (right_division ?43031 ?43029)) ?43029 [43031, 43030, 43029] by Super 43757 with 2306 at 1,3
% 7.20/2.11  Id :  59, {_}: multiply (multiply ?136 ?137) ?138 =<= multiply ?137 (multiply (left_division ?137 ?136) (multiply ?137 ?138)) [138, 137, 136] by Super 56 with 4 at 1,1,2
% 7.20/2.11  Id : 2770, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= multiply (left_division ?3557 ?3558) (multiply ?3557 ?3559) [3559, 3558, 3557] by Super 5 with 59 at 2,2
% 7.20/2.11  Id : 7583, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= left_division (left_division ?3558 ?3557) (multiply ?3557 ?3559) [3559, 3558, 3557] by Demod 2770 with 2444 at 3
% 7.20/2.11  Id : 7593, {_}: left_inverse (left_division ?8344 (multiply (multiply ?8345 ?8344) ?8346)) =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8345, 8344] by Super 2286 with 7583 at 1,2
% 7.20/2.11  Id : 7653, {_}: left_division (multiply (multiply ?8345 ?8344) ?8346) ?8344 =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8344, 8345] by Demod 7593 with 2286 at 2
% 7.20/2.11  Id : 20040, {_}: left_division (multiply (left_inverse ?19613) ?19614) (left_division ?19615 (left_inverse ?19613)) =>= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Super 2409 with 7653 at 2
% 7.20/2.11  Id : 20121, {_}: left_division (left_division ?19613 ?19614) (left_division ?19615 (left_inverse ?19613)) =<= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Demod 20040 with 754 at 1,2
% 7.20/2.11  Id : 20122, {_}: left_division (left_division ?19613 ?19614) (left_inverse (multiply ?19613 ?19615)) =<= left_inverse (multiply ?19613 (multiply (multiply ?19615 (left_inverse ?19613)) ?19614)) [19615, 19614, 19613] by Demod 20121 with 2409 at 2,2
% 7.20/2.11  Id : 20123, {_}: left_division (left_division ?19613 ?19614) (left_inverse (multiply ?19613 ?19615)) =>= left_inverse (multiply ?19613 (multiply (right_division ?19615 ?19613) ?19614)) [19615, 19614, 19613] by Demod 20122 with 2215 at 1,2,1,3
% 7.20/2.11  Id : 20124, {_}: left_inverse (multiply (multiply ?19613 ?19615) (left_division ?19613 ?19614)) =>= left_inverse (multiply ?19613 (multiply (right_division ?19615 ?19613) ?19614)) [19614, 19615, 19613] by Demod 20123 with 2409 at 2
% 7.20/2.11  Id : 20125, {_}: left_inverse (multiply (multiply ?19613 ?19615) (left_division ?19613 ?19614)) =>= left_inverse (multiply ?19613 (left_division (right_division ?19613 ?19615) ?19614)) [19614, 19615, 19613] by Demod 20124 with 947 at 2,1,3
% 7.20/2.11  Id : 20126, {_}: left_inverse (right_division (multiply ?19613 ?19615) (left_division ?19614 ?19613)) =<= left_inverse (multiply ?19613 (left_division (right_division ?19613 ?19615) ?19614)) [19614, 19615, 19613] by Demod 20125 with 2448 at 1,2
% 7.20/2.11  Id : 20127, {_}: left_inverse (right_division (multiply ?19613 ?19615) (left_division ?19614 ?19613)) =>= left_inverse (right_division ?19613 (left_division ?19614 (right_division ?19613 ?19615))) [19614, 19615, 19613] by Demod 20126 with 2448 at 1,3
% 7.20/2.11  Id : 20128, {_}: right_division (left_division ?19614 ?19613) (multiply ?19613 ?19615) =<= left_inverse (right_division ?19613 (left_division ?19614 (right_division ?19613 ?19615))) [19615, 19613, 19614] by Demod 20127 with 929 at 2
% 7.20/2.11  Id : 29866, {_}: right_division (left_division ?28549 ?28550) (multiply ?28550 ?28551) =<= right_division (left_division ?28549 (right_division ?28550 ?28551)) ?28550 [28551, 28550, 28549] by Demod 20128 with 929 at 3
% 7.20/2.11  Id : 29938, {_}: right_division (left_division (left_inverse ?28848) ?28849) (multiply ?28849 ?28850) =>= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Super 29866 with 766 at 1,3
% 7.20/2.11  Id : 30204, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Demod 29938 with 766 at 1,2
% 7.20/2.11  Id : 2216, {_}: right_division ?2909 (right_division ?2910 ?2911) =<= multiply ?2909 (right_division ?2911 ?2910) [2911, 2910, 2909] by Super 2213 with 929 at 2,2
% 7.20/2.11  Id : 30205, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (right_division ?28848 (right_division ?28850 ?28849)) ?28849 [28850, 28849, 28848] by Demod 30204 with 2216 at 1,3
% 7.20/2.11  Id : 44174, {_}: left_division ?43029 (left_division (right_division (multiply ?43030 ?43029) (multiply ?43029 ?43031)) ?43031) =<= left_division (right_division (left_division (right_division ?43031 ?43029) ?43030) (right_division ?43031 ?43029)) ?43029 [43031, 43030, 43029] by Demod 43818 with 30205 at 1,2,2
% 7.20/2.11  Id : 242, {_}: multiply (multiply ?22 (multiply ?23 ?22)) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by Demod 10 with 70 at 1,2
% 7.20/2.11  Id : 833, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =<= multiply ?1109 (multiply (left_inverse ?1110) (multiply ?1109 ?1111)) [1111, 1110, 1109] by Super 242 with 754 at 2,1,2
% 7.20/2.11  Id : 866, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 833 with 754 at 2,3
% 7.20/2.11  Id : 3970, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 866 with 2448 at 1,2
% 7.20/2.11  Id : 3971, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3970 with 2448 at 3
% 7.20/2.11  Id : 3972, {_}: left_division (right_division (left_division ?1109 ?1110) ?1109) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3971 with 947 at 2
% 7.22/2.11  Id : 44175, {_}: left_division ?43029 (left_division (right_division (multiply ?43030 ?43029) (multiply ?43029 ?43031)) ?43031) =>= right_division (right_division ?43031 ?43029) (left_division (multiply (right_division ?43031 ?43029) ?43029) ?43030) [43031, 43030, 43029] by Demod 44174 with 3972 at 3
% 7.22/2.11  Id : 2326, {_}: multiply (multiply (left_inverse ?3033) (right_division ?3034 ?3033)) ?3035 =<= multiply (left_inverse ?3033) (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Super 242 with 2215 at 2,1,2
% 7.22/2.11  Id : 2385, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= multiply (left_inverse ?3033) (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2326 with 754 at 1,2
% 7.22/2.11  Id : 2386, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2385 with 754 at 3
% 7.22/2.11  Id : 2387, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2386 with 2306 at 1,2
% 7.22/2.11  Id : 2388, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2387 with 754 at 2,2,3
% 7.22/2.11  Id : 2389, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2388 with 947 at 2
% 7.22/2.11  Id : 6630, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (right_division ?3034 (left_division ?3035 ?3033)) [3035, 3034, 3033] by Demod 2389 with 2448 at 2,3
% 7.22/2.11  Id : 6649, {_}: left_inverse (left_division ?7225 (right_division ?7226 (left_division ?7227 ?7225))) =>= left_division ?7227 (right_division ?7225 (left_division ?7225 ?7226)) [7227, 7226, 7225] by Super 2286 with 6630 at 1,2
% 7.22/2.11  Id : 19005, {_}: left_division (right_division ?18377 (left_division ?18378 ?18379)) ?18379 =>= left_division ?18378 (right_division ?18379 (left_division ?18379 ?18377)) [18379, 18378, 18377] by Demod 6649 with 2286 at 2
% 7.22/2.11  Id : 19026, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= left_division (left_inverse ?18463) (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Super 19005 with 766 at 2,1,2
% 7.22/2.11  Id : 19232, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= multiply ?18463 (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Demod 19026 with 766 at 3
% 7.22/2.11  Id : 19233, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =>= right_division ?18463 (right_division (left_division ?18464 ?18462) ?18464) [18464, 18463, 18462] by Demod 19232 with 2216 at 3
% 7.22/2.11  Id : 44176, {_}: left_division ?43029 (right_division ?43029 (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031)) =>= right_division (right_division ?43031 ?43029) (left_division (multiply (right_division ?43031 ?43029) ?43029) ?43030) [43030, 43031, 43029] by Demod 44175 with 19233 at 2,2
% 7.22/2.11  Id : 44177, {_}: left_division ?43029 (right_division ?43029 (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031)) =>= right_division (right_division ?43031 ?43029) (left_division (left_division (right_division ?43029 ?43031) ?43029) ?43030) [43030, 43031, 43029] by Demod 44176 with 947 at 1,2,3
% 7.22/2.11  Id : 2324, {_}: left_division ?3028 (right_division ?3028 ?3029) =>= left_inverse ?3029 [3029, 3028] by Super 5 with 2215 at 2,2
% 7.22/2.11  Id : 44178, {_}: left_inverse (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031) =<= right_division (right_division ?43031 ?43029) (left_division (left_division (right_division ?43029 ?43031) ?43029) ?43030) [43029, 43030, 43031] by Demod 44177 with 2324 at 2
% 7.22/2.11  Id : 44179, {_}: left_inverse (right_division (left_division ?43031 (multiply ?43030 ?43029)) ?43031) =>= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44178 with 28 at 1,2,3
% 7.22/2.11  Id : 44180, {_}: right_division ?43031 (left_division ?43031 (multiply ?43030 ?43029)) =<= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44179 with 929 at 2
% 7.22/2.11  Id : 48135, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= left_inverse (right_division ?47766 (left_division ?47766 (multiply ?47767 ?47768))) [47768, 47767, 47766] by Super 929 with 44180 at 1,3
% 7.22/2.11  Id : 48395, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= right_division (left_division ?47766 (multiply ?47767 ?47768)) ?47766 [47768, 47767, 47766] by Demod 48135 with 929 at 3
% 7.22/2.11  Id : 50566, {_}: right_division (left_division (left_inverse ?50556) ?50557) (right_division (left_inverse ?50556) ?50558) =>= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Super 2141 with 48395 at 2
% 7.22/2.11  Id : 50772, {_}: right_division (multiply ?50556 ?50557) (right_division (left_inverse ?50556) ?50558) =<= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50566 with 766 at 1,2
% 7.22/2.11  Id : 50773, {_}: right_division (multiply ?50556 ?50557) (left_inverse (multiply ?50558 ?50556)) =<= multiply (left_division (left_inverse ?50556) (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50772 with 2209 at 2,2
% 7.22/2.11  Id : 50774, {_}: right_division (multiply ?50556 ?50557) (left_inverse (multiply ?50558 ?50556)) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50773 with 2444 at 3
% 7.22/2.11  Id : 50775, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50774 with 2141 at 2
% 7.22/2.11  Id : 50776, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_inverse (multiply ?50556 (multiply ?50557 ?50558))) ?50556 [50558, 50557, 50556] by Demod 50775 with 2409 at 1,3
% 7.22/2.11  Id : 50777, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= multiply (multiply ?50556 (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50776 with 766 at 3
% 7.22/2.11  Id : 50778, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =>= multiply ?50556 (multiply (multiply ?50557 ?50558) ?50556) [50558, 50557, 50556] by Demod 50777 with 70 at 3
% 7.22/2.11  Id : 52410, {_}: multiply a (multiply (multiply b c) a) =?= multiply a (multiply (multiply b c) a) [] by Demod 52409 with 50778 at 3
% 7.22/2.11  Id : 52409, {_}: multiply a (multiply (multiply b c) a) =<= multiply (multiply a b) (multiply c a) [] by Demod 1 with 70 at 2
% 7.22/2.11  Id :   1, {_}: multiply (multiply a (multiply b c)) a =>= multiply (multiply a b) (multiply c a) [] by prove_moufang1
% 7.22/2.11  % SZS output end CNFRefutation for theBenchmark.p
% 7.22/2.11  9469: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.765303 using kbo
%------------------------------------------------------------------------------