TSTP Solution File: GRP205-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n006.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 10:29:37 EDT 2022

% Result   : Unsatisfiable 6.66s 2.06s
% Output   : CNFRefutation 6.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP205-1 : TPTP v8.1.0. Released v2.3.0.
% 0.13/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 03:40:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.35  9973: Facts:
% 0.20/0.35  9973:  Id :   2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.20/0.35  9973:  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 0.20/0.35  9973:  Id :   4, {_}:
% 0.20/0.35            multiply ?6 (left_division ?6 ?7) =>= ?7
% 0.20/0.35            [7, 6] by multiply_left_division ?6 ?7
% 0.20/0.35  9973:  Id :   5, {_}:
% 0.20/0.35            left_division ?9 (multiply ?9 ?10) =>= ?10
% 0.20/0.35            [10, 9] by left_division_multiply ?9 ?10
% 0.20/0.35  9973:  Id :   6, {_}:
% 0.20/0.35            multiply (right_division ?12 ?13) ?13 =>= ?12
% 0.20/0.35            [13, 12] by multiply_right_division ?12 ?13
% 0.20/0.35  9973:  Id :   7, {_}:
% 0.20/0.35            right_division (multiply ?15 ?16) ?16 =>= ?15
% 0.20/0.35            [16, 15] by right_division_multiply ?15 ?16
% 0.20/0.35  9973:  Id :   8, {_}:
% 0.20/0.35            multiply ?18 (right_inverse ?18) =>= identity
% 0.20/0.35            [18] by right_inverse ?18
% 0.20/0.35  9973:  Id :   9, {_}:
% 0.20/0.35            multiply (left_inverse ?20) ?20 =>= identity
% 0.20/0.35            [20] by left_inverse ?20
% 0.20/0.35  9973:  Id :  10, {_}:
% 0.20/0.35            multiply (multiply (multiply ?22 ?23) ?22) ?24
% 0.20/0.35            =?=
% 0.20/0.35            multiply ?22 (multiply ?23 (multiply ?22 ?24))
% 0.20/0.35            [24, 23, 22] by moufang3 ?22 ?23 ?24
% 0.20/0.35  9973: Goal:
% 0.20/0.35  9973:  Id :   1, {_}:
% 0.20/0.35            multiply x (multiply (multiply y z) x)
% 0.20/0.35            =<=
% 0.20/0.35            multiply (multiply x y) (multiply z x)
% 0.20/0.35            [] by prove_moufang4
% 6.66/2.06  Statistics :
% 6.66/2.06  Max weight : 20
% 6.66/2.06  Found proof, 1.716262s
% 6.66/2.06  % SZS status Unsatisfiable for theBenchmark.p
% 6.66/2.06  % SZS output start CNFRefutation for theBenchmark.p
% 6.66/2.07  Id :  56, {_}: multiply (multiply (multiply ?126 ?127) ?126) ?128 =>= multiply ?126 (multiply ?127 (multiply ?126 ?128)) [128, 127, 126] by moufang3 ?126 ?127 ?128
% 6.66/2.07  Id :   4, {_}: multiply ?6 (left_division ?6 ?7) =>= ?7 [7, 6] by multiply_left_division ?6 ?7
% 6.66/2.07  Id :   5, {_}: left_division ?9 (multiply ?9 ?10) =>= ?10 [10, 9] by left_division_multiply ?9 ?10
% 6.66/2.07  Id :   9, {_}: multiply (left_inverse ?20) ?20 =>= identity [20] by left_inverse ?20
% 6.66/2.07  Id :   8, {_}: multiply ?18 (right_inverse ?18) =>= identity [18] by right_inverse ?18
% 6.66/2.07  Id :   6, {_}: multiply (right_division ?12 ?13) ?13 =>= ?12 [13, 12] by multiply_right_division ?12 ?13
% 6.66/2.07  Id :  10, {_}: multiply (multiply (multiply ?22 ?23) ?22) ?24 =>= multiply ?22 (multiply ?23 (multiply ?22 ?24)) [24, 23, 22] by moufang3 ?22 ?23 ?24
% 6.66/2.07  Id :   3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 6.66/2.07  Id :   7, {_}: right_division (multiply ?15 ?16) ?16 =>= ?15 [16, 15] by right_division_multiply ?15 ?16
% 6.66/2.07  Id :  53, {_}: multiply ?115 (multiply ?116 (multiply ?115 identity)) =>= multiply (multiply ?115 ?116) ?115 [116, 115] by Super 3 with 10 at 2
% 6.66/2.07  Id :  70, {_}: multiply ?115 (multiply ?116 ?115) =<= multiply (multiply ?115 ?116) ?115 [116, 115] by Demod 53 with 3 at 2,2,2
% 6.66/2.07  Id : 557, {_}: right_division (multiply ?710 (multiply ?711 ?710)) ?710 =>= multiply ?710 ?711 [711, 710] by Super 7 with 70 at 1,2
% 6.66/2.07  Id : 561, {_}: right_division (multiply ?720 ?721) ?720 =<= multiply ?720 (right_division ?721 ?720) [721, 720] by Super 557 with 6 at 2,1,2
% 6.66/2.07  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
% 6.66/2.07  Id : 1849, {_}: 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
% 6.66/2.07  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
% 6.66/2.07  Id : 281, {_}: 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
% 6.66/2.07  Id : 286, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (multiply (right_inverse ?414) identity)))) =>= identity [414] by Super 281 with 8 at 2,1,2,2,2,2
% 6.66/2.07  Id : 315, {_}: multiply (right_inverse ?414) (multiply ?414 (multiply (right_inverse ?414) (right_inverse (right_inverse ?414)))) =>= identity [414] by Demod 286 with 3 at 1,2,2,2,2
% 6.66/2.07  Id : 316, {_}: multiply (right_inverse ?414) (multiply ?414 identity) =>= identity [414] by Demod 315 with 8 at 2,2,2
% 6.66/2.07  Id : 317, {_}: multiply (right_inverse ?414) ?414 =>= identity [414] by Demod 316 with 3 at 2,2
% 6.99/2.07  Id : 345, {_}: right_division identity ?453 =>= right_inverse ?453 [453] by Super 7 with 317 at 1,2
% 6.99/2.07  Id :  45, {_}: right_division identity ?99 =>= left_inverse ?99 [99] by Super 7 with 9 at 1,2
% 6.99/2.07  Id : 366, {_}: left_inverse ?453 =<= right_inverse ?453 [453] by Demod 345 with 45 at 2
% 6.99/2.07  Id : 371, {_}: multiply ?18 (left_inverse ?18) =>= identity [18] by Demod 8 with 366 at 2,2
% 6.99/2.07  Id : 1855, {_}: right_division (multiply ?2550 (multiply ?2551 identity)) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Super 1849 with 371 at 2,2,1,2
% 6.99/2.07  Id : 1902, {_}: right_division (multiply ?2550 ?2551) (left_inverse ?2550) =>= multiply ?2550 (multiply ?2551 ?2550) [2551, 2550] by Demod 1855 with 3 at 2,1,2
% 6.99/2.07  Id : 2080, {_}: 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 561 with 1902 at 2,3
% 6.99/2.07  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
% 6.99/2.07  Id : 609, {_}: 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
% 6.99/2.07  Id : 614, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division (multiply ?816 identity) ?817))) =>= ?817 [817, 816] by Super 609 with 9 at 2,1,2,2,2,2
% 6.99/2.07  Id : 651, {_}: multiply ?816 (multiply (left_inverse ?816) (multiply ?816 (left_division ?816 ?817))) =>= ?817 [817, 816] by Demod 614 with 3 at 1,2,2,2,2
% 6.99/2.07  Id : 652, {_}: multiply ?816 (multiply (left_inverse ?816) ?817) =>= ?817 [817, 816] by Demod 651 with 4 at 2,2,2
% 6.99/2.07  Id : 744, {_}: left_division ?1007 ?1008 =<= multiply (left_inverse ?1007) ?1008 [1008, 1007] by Super 5 with 652 at 2,2
% 6.99/2.07  Id : 2108, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =<= multiply (left_inverse ?2786) (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2080 with 744 at 1,2
% 6.99/2.07  Id : 2109, {_}: right_division (left_division ?2786 (multiply ?2786 ?2787)) (left_inverse ?2786) =>= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2787, 2786] by Demod 2108 with 744 at 3
% 6.99/2.07  Id : 2110, {_}: right_division ?2787 (left_inverse ?2786) =<= left_division ?2786 (multiply ?2786 (multiply ?2787 ?2786)) [2786, 2787] by Demod 2109 with 5 at 1,2
% 6.99/2.07  Id : 2111, {_}: right_division ?2787 (left_inverse ?2786) =>= multiply ?2787 ?2786 [2786, 2787] by Demod 2110 with 5 at 3
% 6.99/2.07  Id : 913, {_}: right_division (left_division ?1218 ?1219) ?1219 =>= left_inverse ?1218 [1219, 1218] by Super 7 with 744 at 1,2
% 6.99/2.07  Id :  28, {_}: left_division (right_division ?62 ?63) ?62 =>= ?63 [63, 62] by Super 5 with 6 at 2,2
% 6.99/2.07  Id : 916, {_}: right_division ?1226 ?1227 =<= left_inverse (right_division ?1227 ?1226) [1227, 1226] by Super 913 with 28 at 1,2
% 6.99/2.07  Id : 2746, {_}: 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
% 6.99/2.07  Id : 2749, {_}: multiply (multiply ?3626 ?3627) (left_division ?3627 ?3628) =>= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Super 2746 with 4 at 2,2,3
% 6.99/2.07  Id : 2178, {_}: right_division (left_inverse ?2889) ?2890 =>= left_inverse (multiply ?2890 ?2889) [2890, 2889] by Super 916 with 2111 at 1,3
% 6.99/2.07  Id : 2242, {_}: left_inverse (multiply (left_inverse ?2961) ?2962) =>= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Super 2111 with 2178 at 2
% 6.99/2.07  Id : 2253, {_}: left_inverse (left_division ?2961 ?2962) =<= multiply (left_inverse ?2962) ?2961 [2962, 2961] by Demod 2242 with 744 at 1,2
% 6.99/2.07  Id : 2254, {_}: left_inverse (left_division ?2961 ?2962) =>= left_division ?2962 ?2961 [2962, 2961] by Demod 2253 with 744 at 3
% 6.99/2.07  Id : 2414, {_}: right_division ?3131 (left_division ?3132 ?3133) =<= multiply ?3131 (left_division ?3133 ?3132) [3133, 3132, 3131] by Super 2111 with 2254 at 2,2
% 6.99/2.07  Id : 7703, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (multiply (left_division ?3627 ?3626) ?3628) [3628, 3627, 3626] by Demod 2749 with 2414 at 2
% 6.99/2.07  Id : 752, {_}: multiply ?1028 (multiply (left_inverse ?1028) ?1029) =>= ?1029 [1029, 1028] by Demod 651 with 4 at 2,2,2
% 6.99/2.07  Id : 756, {_}: multiply ?1038 ?1039 =<= left_division (left_inverse ?1038) ?1039 [1039, 1038] by Super 752 with 4 at 2,2
% 6.99/2.07  Id : 2410, {_}: multiply (left_division ?3117 ?3118) ?3119 =>= left_division (left_division ?3118 ?3117) ?3119 [3119, 3118, 3117] by Super 756 with 2254 at 1,3
% 6.99/2.07  Id : 7704, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =<= multiply ?3627 (left_division (left_division ?3626 ?3627) ?3628) [3628, 3627, 3626] by Demod 7703 with 2410 at 2,3
% 6.99/2.07  Id : 7705, {_}: right_division (multiply ?3626 ?3627) (left_division ?3628 ?3627) =>= right_division ?3627 (left_division ?3628 (left_division ?3626 ?3627)) [3628, 3627, 3626] by Demod 7704 with 2414 at 3
% 6.99/2.07  Id : 7718, {_}: 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 916 with 7705 at 1,3
% 6.99/2.07  Id : 7772, {_}: right_division (left_division ?8594 ?8595) (multiply ?8596 ?8595) =<= right_division (left_division ?8594 (left_division ?8596 ?8595)) ?8595 [8596, 8595, 8594] by Demod 7718 with 916 at 3
% 6.99/2.07  Id : 20972, {_}: 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 2111 with 7772 at 2
% 6.99/2.07  Id : 2182, {_}: right_division ?2901 (left_inverse ?2902) =>= multiply ?2901 ?2902 [2902, 2901] by Demod 2110 with 5 at 3
% 6.99/2.07  Id :  40, {_}: left_division ?91 identity =>= right_inverse ?91 [91] by Super 5 with 8 at 2,2
% 6.99/2.07  Id : 177, {_}: ?263 =<= right_inverse (right_division identity ?263) [263] by Super 40 with 28 at 2
% 6.99/2.07  Id : 184, {_}: ?263 =<= right_inverse (left_inverse ?263) [263] by Demod 177 with 45 at 1,3
% 6.99/2.07  Id : 374, {_}: ?263 =<= left_inverse (left_inverse ?263) [263] by Demod 184 with 366 at 3
% 6.99/2.07  Id : 2184, {_}: right_division ?2906 ?2907 =<= multiply ?2906 (left_inverse ?2907) [2907, 2906] by Super 2182 with 374 at 2,2
% 6.99/2.07  Id : 2285, {_}: left_division ?3010 (left_inverse ?3011) =>= right_division (left_inverse ?3010) ?3011 [3011, 3010] by Super 744 with 2184 at 3
% 6.99/2.07  Id : 2376, {_}: left_division ?3010 (left_inverse ?3011) =>= left_inverse (multiply ?3011 ?3010) [3011, 3010] by Demod 2285 with 2178 at 3
% 6.99/2.07  Id : 21087, {_}: 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 20972 with 2376 at 1,2
% 6.99/2.07  Id : 21088, {_}: 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 21087 with 2184 at 2,2
% 6.99/2.07  Id : 21089, {_}: 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 21088 with 2410 at 3
% 6.99/2.07  Id : 21090, {_}: 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 21089 with 2178 at 2
% 6.99/2.07  Id : 21091, {_}: 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 21090 with 2376 at 1,1,3
% 6.99/2.07  Id : 933, {_}: multiply (right_division ?1240 ?1241) ?1242 =>= left_division (right_division ?1241 ?1240) ?1242 [1242, 1241, 1240] by Super 756 with 916 at 1,3
% 6.99/2.07  Id : 21092, {_}: 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 21091 with 933 at 1,2
% 6.99/2.07  Id : 21093, {_}: left_inverse (left_division (right_division ?21082 ?21083) (multiply ?21082 ?21081)) =>= left_division (multiply (multiply ?21082 ?21083) ?21081) ?21082 [21081, 21083, 21082] by Demod 21092 with 756 at 1,3
% 6.99/2.07  Id : 33490, {_}: left_division (multiply ?32560 ?32561) (right_division ?32560 ?32562) =<= left_division (multiply (multiply ?32560 ?32562) ?32561) ?32560 [32562, 32561, 32560] by Demod 21093 with 2254 at 2
% 6.99/2.07  Id : 33504, {_}: 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 33490 with 2184 at 1,1,3
% 6.99/2.07  Id : 33706, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (multiply (right_division ?32621 ?32623) ?32622) ?32621 [32623, 32622, 32621] by Demod 33504 with 2111 at 2,2
% 6.99/2.07  Id : 33707, {_}: left_division (multiply ?32621 ?32622) (multiply ?32621 ?32623) =<= left_division (left_division (right_division ?32623 ?32621) ?32622) ?32621 [32623, 32622, 32621] by Demod 33706 with 933 at 1,3
% 6.99/2.07  Id : 7726, {_}: right_division (multiply ?8626 ?8627) (left_division ?8628 ?8627) =>= right_division ?8627 (left_division ?8628 (left_division ?8626 ?8627)) [8628, 8627, 8626] by Demod 7704 with 2414 at 3
% 6.99/2.07  Id : 7737, {_}: 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 7726 with 2376 at 2,2
% 6.99/2.07  Id : 7800, {_}: 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 7737 with 2111 at 2
% 6.99/2.07  Id : 7801, {_}: 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 7800 with 2178 at 3
% 6.99/2.07  Id : 7802, {_}: 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 7801 with 2184 at 1,2
% 6.99/2.07  Id : 7803, {_}: 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 7802 with 2410 at 1,3
% 6.99/2.07  Id : 7804, {_}: 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 7803 with 933 at 2
% 6.99/2.07  Id : 7805, {_}: 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 7804 with 2254 at 3
% 6.99/2.07  Id : 7806, {_}: 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 7805 with 2376 at 1,2,3
% 6.99/2.07  Id : 21301, {_}: left_division (right_division ?21608 ?21609) (multiply ?21608 ?21610) =>= left_division ?21608 (multiply (multiply ?21608 ?21609) ?21610) [21610, 21609, 21608] by Demod 7806 with 756 at 2,3
% 6.99/2.07  Id : 21334, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =<= left_division ?21745 (multiply (multiply ?21745 (left_inverse ?21746)) ?21747) [21747, 21746, 21745] by Super 21301 with 2111 at 1,2
% 6.99/2.07  Id : 21538, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (multiply (right_division ?21745 ?21746) ?21747) [21747, 21746, 21745] by Demod 21334 with 2184 at 1,2,3
% 6.99/2.07  Id : 21539, {_}: left_division (multiply ?21745 ?21746) (multiply ?21745 ?21747) =>= left_division ?21745 (left_division (right_division ?21746 ?21745) ?21747) [21747, 21746, 21745] by Demod 21538 with 933 at 2,3
% 6.99/2.07  Id : 43601, {_}: 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 33707 with 21539 at 2
% 6.99/2.07  Id : 824, {_}: multiply (left_inverse ?1117) (multiply ?1118 (left_inverse ?1117)) =>= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Super 70 with 744 at 1,3
% 6.99/2.07  Id : 854, {_}: left_division ?1117 (multiply ?1118 (left_inverse ?1117)) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 824 with 744 at 2
% 6.99/2.07  Id : 2272, {_}: left_division ?1117 (right_division ?1118 ?1117) =<= multiply (left_division ?1117 ?1118) (left_inverse ?1117) [1118, 1117] by Demod 854 with 2184 at 2,2
% 6.99/2.07  Id : 2273, {_}: left_division ?1117 (right_division ?1118 ?1117) =>= right_division (left_division ?1117 ?1118) ?1117 [1118, 1117] by Demod 2272 with 2184 at 3
% 6.99/2.07  Id : 43662, {_}: 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 43601 with 2273 at 1,3
% 6.99/2.07  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
% 6.99/2.07  Id : 2732, {_}: 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
% 6.99/2.07  Id : 7516, {_}: left_division ?3557 (multiply (multiply ?3558 ?3557) ?3559) =<= left_division (left_division ?3558 ?3557) (multiply ?3557 ?3559) [3559, 3558, 3557] by Demod 2732 with 2410 at 3
% 6.99/2.07  Id : 7526, {_}: left_inverse (left_division ?8344 (multiply (multiply ?8345 ?8344) ?8346)) =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8345, 8344] by Super 2254 with 7516 at 1,2
% 6.99/2.07  Id : 7586, {_}: left_division (multiply (multiply ?8345 ?8344) ?8346) ?8344 =>= left_division (multiply ?8344 ?8346) (left_division ?8345 ?8344) [8346, 8344, 8345] by Demod 7526 with 2254 at 2
% 6.99/2.07  Id : 19936, {_}: 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 2376 with 7586 at 2
% 6.99/2.07  Id : 20017, {_}: 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 19936 with 744 at 1,2
% 6.99/2.07  Id : 20018, {_}: 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 20017 with 2376 at 2,2
% 6.99/2.07  Id : 20019, {_}: 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 20018 with 2184 at 1,2,1,3
% 6.99/2.07  Id : 20020, {_}: 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 20019 with 2376 at 2
% 6.99/2.07  Id : 20021, {_}: 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 20020 with 933 at 2,1,3
% 6.99/2.07  Id : 20022, {_}: 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 20021 with 2414 at 1,2
% 6.99/2.07  Id : 20023, {_}: 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 20022 with 2414 at 1,3
% 6.99/2.07  Id : 20024, {_}: 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 20023 with 916 at 2
% 6.99/2.07  Id : 29739, {_}: right_division (left_division ?28549 ?28550) (multiply ?28550 ?28551) =<= right_division (left_division ?28549 (right_division ?28550 ?28551)) ?28550 [28551, 28550, 28549] by Demod 20024 with 916 at 3
% 6.99/2.07  Id : 29811, {_}: 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 29739 with 756 at 1,3
% 6.99/2.07  Id : 30077, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (multiply ?28848 (right_division ?28849 ?28850)) ?28849 [28850, 28849, 28848] by Demod 29811 with 756 at 1,2
% 6.99/2.07  Id : 2185, {_}: right_division ?2909 (right_division ?2910 ?2911) =<= multiply ?2909 (right_division ?2911 ?2910) [2911, 2910, 2909] by Super 2182 with 916 at 2,2
% 6.99/2.07  Id : 30078, {_}: right_division (multiply ?28848 ?28849) (multiply ?28849 ?28850) =<= right_division (right_division ?28848 (right_division ?28850 ?28849)) ?28849 [28850, 28849, 28848] by Demod 30077 with 2185 at 1,3
% 6.99/2.07  Id : 44018, {_}: 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 43662 with 30078 at 1,2,2
% 6.99/2.07  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
% 6.99/2.07  Id : 822, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =<= multiply ?1109 (multiply (left_inverse ?1110) (multiply ?1109 ?1111)) [1111, 1110, 1109] by Super 242 with 744 at 2,1,2
% 6.99/2.07  Id : 855, {_}: multiply (multiply ?1109 (left_division ?1110 ?1109)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 822 with 744 at 2,3
% 6.99/2.07  Id : 3922, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= multiply ?1109 (left_division ?1110 (multiply ?1109 ?1111)) [1111, 1110, 1109] by Demod 855 with 2414 at 1,2
% 6.99/2.07  Id : 3923, {_}: multiply (right_division ?1109 (left_division ?1109 ?1110)) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3922 with 2414 at 3
% 6.99/2.07  Id : 3924, {_}: left_division (right_division (left_division ?1109 ?1110) ?1109) ?1111 =>= right_division ?1109 (left_division (multiply ?1109 ?1111) ?1110) [1111, 1110, 1109] by Demod 3923 with 933 at 2
% 6.99/2.07  Id : 44019, {_}: 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 44018 with 3924 at 3
% 6.99/2.07  Id : 2293, {_}: 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 2184 at 2,1,2
% 6.99/2.07  Id : 2352, {_}: 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 2293 with 744 at 1,2
% 6.99/2.07  Id : 2353, {_}: multiply (left_division ?3033 (right_division ?3034 ?3033)) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2352 with 744 at 3
% 6.99/2.07  Id : 2354, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =<= left_division ?3033 (multiply ?3034 (multiply (left_inverse ?3033) ?3035)) [3035, 3034, 3033] by Demod 2353 with 2273 at 1,2
% 6.99/2.07  Id : 2355, {_}: multiply (right_division (left_division ?3033 ?3034) ?3033) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2354 with 744 at 2,2,3
% 6.99/2.07  Id : 2356, {_}: left_division (right_division ?3033 (left_division ?3033 ?3034)) ?3035 =>= left_division ?3033 (multiply ?3034 (left_division ?3033 ?3035)) [3035, 3034, 3033] by Demod 2355 with 933 at 2
% 6.99/2.07  Id : 6567, {_}: 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 2356 with 2414 at 2,3
% 6.99/2.07  Id : 6586, {_}: 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 2254 with 6567 at 1,2
% 6.99/2.07  Id : 18904, {_}: 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 6586 with 2254 at 2
% 6.99/2.07  Id : 18925, {_}: 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 18904 with 756 at 2,1,2
% 6.99/2.07  Id : 19131, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =<= multiply ?18463 (right_division ?18464 (left_division ?18464 ?18462)) [18464, 18463, 18462] by Demod 18925 with 756 at 3
% 6.99/2.07  Id : 19132, {_}: left_division (right_division ?18462 (multiply ?18463 ?18464)) ?18464 =>= right_division ?18463 (right_division (left_division ?18464 ?18462) ?18464) [18464, 18463, 18462] by Demod 19131 with 2185 at 3
% 6.99/2.07  Id : 44020, {_}: 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 44019 with 19132 at 2,2
% 6.99/2.07  Id : 44021, {_}: 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 44020 with 933 at 1,2,3
% 6.99/2.07  Id : 2291, {_}: left_division ?3028 (right_division ?3028 ?3029) =>= left_inverse ?3029 [3029, 3028] by Super 5 with 2184 at 2,2
% 6.99/2.07  Id : 44022, {_}: 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 44021 with 2291 at 2
% 6.99/2.07  Id : 44023, {_}: 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 44022 with 28 at 1,2,3
% 6.99/2.07  Id : 44024, {_}: right_division ?43031 (left_division ?43031 (multiply ?43030 ?43029)) =<= right_division (right_division ?43031 ?43029) (left_division ?43031 ?43030) [43029, 43030, 43031] by Demod 44023 with 916 at 2
% 6.99/2.07  Id : 47970, {_}: 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 916 with 44024 at 1,3
% 6.99/2.07  Id : 48230, {_}: right_division (left_division ?47766 ?47767) (right_division ?47766 ?47768) =<= right_division (left_division ?47766 (multiply ?47767 ?47768)) ?47766 [47768, 47767, 47766] by Demod 47970 with 916 at 3
% 6.99/2.07  Id : 50397, {_}: 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 2111 with 48230 at 2
% 6.99/2.07  Id : 50603, {_}: 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 50397 with 756 at 1,2
% 6.99/2.07  Id : 50604, {_}: 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 50603 with 2178 at 2,2
% 6.99/2.07  Id : 50605, {_}: 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 50604 with 2410 at 3
% 6.99/2.07  Id : 50606, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_division (multiply ?50557 ?50558) (left_inverse ?50556)) ?50556 [50558, 50557, 50556] by Demod 50605 with 2111 at 2
% 6.99/2.07  Id : 50607, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= left_division (left_inverse (multiply ?50556 (multiply ?50557 ?50558))) ?50556 [50558, 50557, 50556] by Demod 50606 with 2376 at 1,3
% 6.99/2.07  Id : 50608, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =<= multiply (multiply ?50556 (multiply ?50557 ?50558)) ?50556 [50558, 50557, 50556] by Demod 50607 with 756 at 3
% 6.99/2.07  Id : 50609, {_}: multiply (multiply ?50556 ?50557) (multiply ?50558 ?50556) =>= multiply ?50556 (multiply (multiply ?50557 ?50558) ?50556) [50558, 50557, 50556] by Demod 50608 with 70 at 3
% 6.99/2.07  Id : 52237, {_}: multiply x (multiply (multiply y z) x) =?= multiply x (multiply (multiply y z) x) [] by Demod 1 with 50609 at 3
% 6.99/2.07  Id :   1, {_}: multiply x (multiply (multiply y z) x) =<= multiply (multiply x y) (multiply z x) [] by prove_moufang4
% 6.99/2.07  % SZS output end CNFRefutation for theBenchmark.p
% 6.99/2.07  9974: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 1.724179 using kbo
%------------------------------------------------------------------------------