TSTP Solution File: BOO034-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:44:16 EDT 2022
% Result : Unsatisfiable 6.08s 1.83s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO034-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n029.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 : Wed Jun 1 18:56:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 3232: Facts:
% 0.13/0.34 3232: Id : 2, {_}:
% 0.13/0.34 multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6)
% 0.13/0.34 =>=
% 0.13/0.34 multiply ?2 ?3 (multiply ?4 ?5 ?6)
% 0.13/0.34 [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
% 0.13/0.34 3232: Id : 3, {_}: multiply ?8 ?9 ?9 =>= ?9 [9, 8] by ternary_multiply_1 ?8 ?9
% 0.13/0.34 3232: Id : 4, {_}:
% 0.13/0.34 multiply ?11 ?11 ?12 =>= ?11
% 0.13/0.34 [12, 11] by ternary_multiply_2 ?11 ?12
% 0.13/0.34 3232: Id : 5, {_}:
% 0.13/0.34 multiply (inverse ?14) ?14 ?15 =>= ?15
% 0.13/0.34 [15, 14] by left_inverse ?14 ?15
% 0.13/0.34 3232: Id : 6, {_}:
% 0.13/0.34 multiply ?17 ?18 (inverse ?18) =>= ?17
% 0.13/0.34 [18, 17] by right_inverse ?17 ?18
% 0.13/0.34 3232: Goal:
% 0.13/0.34 3232: Id : 1, {_}:
% 0.13/0.34 multiply (multiply a (inverse a) b)
% 0.13/0.34 (inverse (multiply (multiply c d e) f (multiply c d g)))
% 0.13/0.34 (multiply d (multiply g f e) c)
% 0.13/0.34 =>=
% 0.13/0.34 b
% 0.13/0.34 [] by prove_single_axiom
% 6.08/1.83 Statistics :
% 6.08/1.83 Max weight : 34
% 6.08/1.83 Found proof, 1.486211s
% 6.08/1.83 % SZS status Unsatisfiable for theBenchmark.p
% 6.08/1.83 % SZS output start CNFRefutation for theBenchmark.p
% 6.08/1.83 Id : 5, {_}: multiply (inverse ?14) ?14 ?15 =>= ?15 [15, 14] by left_inverse ?14 ?15
% 6.08/1.83 Id : 6, {_}: multiply ?17 ?18 (inverse ?18) =>= ?17 [18, 17] by right_inverse ?17 ?18
% 6.08/1.83 Id : 4, {_}: multiply ?11 ?11 ?12 =>= ?11 [12, 11] by ternary_multiply_2 ?11 ?12
% 6.08/1.83 Id : 3, {_}: multiply ?8 ?9 ?9 =>= ?9 [9, 8] by ternary_multiply_1 ?8 ?9
% 6.08/1.83 Id : 2, {_}: multiply (multiply ?2 ?3 ?4) ?5 (multiply ?2 ?3 ?6) =>= multiply ?2 ?3 (multiply ?4 ?5 ?6) [6, 5, 4, 3, 2] by associativity ?2 ?3 ?4 ?5 ?6
% 6.08/1.83 Id : 69, {_}: multiply ?206 ?207 ?208 =<= multiply ?206 ?207 (multiply ?209 (multiply ?206 ?207 ?208) ?208) [209, 208, 207, 206] by Super 2 with 3 at 2
% 6.08/1.83 Id : 78, {_}: multiply ?251 ?252 ?253 =<= multiply ?251 ?252 (multiply ?251 ?252 ?253) [253, 252, 251] by Super 69 with 4 at 3,3
% 6.08/1.83 Id : 110, {_}: multiply (multiply ?283 ?284 ?285) ?286 (multiply ?283 ?284 ?287) =?= multiply ?283 ?284 (multiply (multiply ?283 ?284 ?285) ?286 ?287) [287, 286, 285, 284, 283] by Super 2 with 78 at 1,2
% 6.08/1.83 Id : 12803, {_}: multiply ?18469 ?18470 (multiply ?18471 ?18472 ?18473) =<= multiply ?18469 ?18470 (multiply (multiply ?18469 ?18470 ?18471) ?18472 ?18473) [18473, 18472, 18471, 18470, 18469] by Demod 110 with 2 at 2
% 6.08/1.83 Id : 74, {_}: multiply ?230 ?231 (inverse ?231) =<= multiply ?230 ?231 (multiply ?232 ?230 (inverse ?231)) [232, 231, 230] by Super 69 with 6 at 2,3,3
% 6.08/1.83 Id : 99, {_}: ?230 =<= multiply ?230 ?231 (multiply ?232 ?230 (inverse ?231)) [232, 231, 230] by Demod 74 with 6 at 2
% 6.08/1.83 Id : 109, {_}: multiply (multiply ?277 ?278 ?279) ?280 (multiply ?277 ?278 ?281) =?= multiply ?277 ?278 (multiply ?279 ?280 (multiply ?277 ?278 ?281)) [281, 280, 279, 278, 277] by Super 2 with 78 at 3,2
% 6.08/1.83 Id : 292, {_}: multiply ?704 ?705 (multiply ?706 ?707 ?708) =<= multiply ?704 ?705 (multiply ?706 ?707 (multiply ?704 ?705 ?708)) [708, 707, 706, 705, 704] by Demod 109 with 2 at 2
% 6.08/1.83 Id : 178, {_}: multiply ?432 ?433 ?434 =<= multiply ?432 ?433 (multiply ?434 (multiply ?432 ?433 ?434) ?435) [435, 434, 433, 432] by Super 2 with 4 at 2
% 6.08/1.83 Id : 183, {_}: multiply ?456 ?457 (inverse ?457) =<= multiply ?456 ?457 (multiply (inverse ?457) ?456 ?458) [458, 457, 456] by Super 178 with 6 at 2,3,3
% 6.08/1.83 Id : 219, {_}: ?456 =<= multiply ?456 ?457 (multiply (inverse ?457) ?456 ?458) [458, 457, 456] by Demod 183 with 6 at 2
% 6.08/1.83 Id : 315, {_}: multiply (inverse ?833) ?834 (multiply ?834 ?833 ?835) =>= multiply (inverse ?833) ?834 ?834 [835, 834, 833] by Super 292 with 219 at 3,3
% 6.08/1.83 Id : 381, {_}: multiply (inverse ?929) ?930 (multiply ?930 ?929 ?931) =>= ?930 [931, 930, 929] by Demod 315 with 3 at 3
% 6.08/1.83 Id : 383, {_}: multiply (inverse ?939) ?940 ?939 =>= ?940 [940, 939] by Super 381 with 3 at 3,2
% 6.08/1.83 Id : 431, {_}: ?1028 =<= inverse (inverse ?1028) [1028] by Super 6 with 383 at 2
% 6.08/1.83 Id : 995, {_}: ?2080 =<= multiply ?2080 (inverse ?2081) (multiply ?2082 ?2080 ?2081) [2082, 2081, 2080] by Super 99 with 431 at 3,3,3
% 6.08/1.83 Id : 1011, {_}: ?2138 =<= multiply ?2138 (inverse (multiply ?2139 ?2140 (inverse ?2138))) ?2140 [2140, 2139, 2138] by Super 995 with 99 at 3,3
% 6.08/1.83 Id : 453, {_}: ?1064 =<= multiply ?1064 (inverse ?1065) (multiply ?1065 ?1064 ?1066) [1066, 1065, 1064] by Super 219 with 431 at 1,3,3
% 6.08/1.83 Id : 1016, {_}: inverse ?2160 =<= multiply (inverse ?2160) (inverse (multiply ?2160 ?2161 ?2162)) ?2161 [2162, 2161, 2160] by Super 995 with 453 at 3,3
% 6.08/1.83 Id : 1921, {_}: ?3704 =<= multiply ?3704 (inverse (inverse ?3705)) (inverse (multiply ?3705 (inverse ?3704) ?3706)) [3706, 3705, 3704] by Super 1011 with 1016 at 1,2,3
% 6.08/1.83 Id : 2008, {_}: ?3704 =<= multiply ?3704 ?3705 (inverse (multiply ?3705 (inverse ?3704) ?3706)) [3706, 3705, 3704] by Demod 1921 with 431 at 2,3
% 6.08/1.83 Id : 2526, {_}: ?4752 =<= multiply ?4752 (multiply ?4752 (inverse ?4753) ?4754) ?4753 [4754, 4753, 4752] by Super 99 with 2008 at 3,3
% 6.08/1.83 Id : 2830, {_}: multiply ?5282 (inverse (inverse ?5283)) ?5284 =<= multiply (multiply ?5282 (inverse (inverse ?5283)) ?5284) ?5283 ?5282 [5284, 5283, 5282] by Super 99 with 2526 at 3,3
% 6.08/1.83 Id : 2892, {_}: multiply ?5282 ?5283 ?5284 =<= multiply (multiply ?5282 (inverse (inverse ?5283)) ?5284) ?5283 ?5282 [5284, 5283, 5282] by Demod 2830 with 431 at 2,2
% 6.08/1.83 Id : 2893, {_}: multiply ?5282 ?5283 ?5284 =<= multiply (multiply ?5282 ?5283 ?5284) ?5283 ?5282 [5284, 5283, 5282] by Demod 2892 with 431 at 2,1,3
% 6.08/1.83 Id : 12909, {_}: multiply ?19099 ?19100 (multiply ?19101 ?19100 ?19099) =?= multiply ?19099 ?19100 (multiply ?19099 ?19100 ?19101) [19101, 19100, 19099] by Super 12803 with 2893 at 3,3
% 6.08/1.83 Id : 13126, {_}: multiply ?19463 ?19464 (multiply ?19465 ?19464 ?19463) =>= multiply ?19463 ?19464 ?19465 [19465, 19464, 19463] by Demod 12909 with 78 at 3
% 6.08/1.83 Id : 13, {_}: multiply ?58 ?59 ?60 =<= multiply ?58 ?59 (multiply ?61 (multiply ?58 ?59 ?60) ?60) [61, 60, 59, 58] by Super 2 with 3 at 2
% 6.08/1.83 Id : 457, {_}: multiply ?1078 ?1079 (inverse ?1078) =>= ?1079 [1079, 1078] by Super 383 with 431 at 1,2
% 6.08/1.83 Id : 601, {_}: multiply ?1325 ?1326 (inverse ?1325) =<= multiply ?1325 ?1326 (multiply ?1327 ?1326 (inverse ?1325)) [1327, 1326, 1325] by Super 13 with 457 at 2,3,3
% 6.08/1.83 Id : 619, {_}: ?1326 =<= multiply ?1325 ?1326 (multiply ?1327 ?1326 (inverse ?1325)) [1327, 1325, 1326] by Demod 601 with 457 at 2
% 6.08/1.83 Id : 454, {_}: ?1068 =<= multiply ?1068 (inverse ?1069) (multiply ?1070 ?1068 ?1069) [1070, 1069, 1068] by Super 99 with 431 at 3,3,3
% 6.08/1.83 Id : 1017, {_}: inverse ?2164 =<= multiply (inverse ?2164) (inverse (multiply ?2165 ?2166 ?2164)) ?2166 [2166, 2165, 2164] by Super 995 with 454 at 3,3
% 6.08/1.83 Id : 2091, {_}: ?4052 =<= multiply ?4052 (inverse (inverse ?4053)) (inverse (multiply ?4054 (inverse ?4052) ?4053)) [4054, 4053, 4052] by Super 1011 with 1017 at 1,2,3
% 6.08/1.83 Id : 2137, {_}: ?4052 =<= multiply ?4052 ?4053 (inverse (multiply ?4054 (inverse ?4052) ?4053)) [4054, 4053, 4052] by Demod 2091 with 431 at 2,3
% 6.08/1.83 Id : 3673, {_}: ?6700 =<= multiply ?6700 (multiply ?6701 (inverse ?6702) ?6700) ?6702 [6702, 6701, 6700] by Super 99 with 2137 at 3,3
% 6.08/1.83 Id : 4057, {_}: multiply ?7430 (inverse (inverse ?7431)) ?7432 =<= multiply ?7431 (multiply ?7430 (inverse (inverse ?7431)) ?7432) ?7432 [7432, 7431, 7430] by Super 619 with 3673 at 3,3
% 6.08/1.83 Id : 4128, {_}: multiply ?7430 ?7431 ?7432 =<= multiply ?7431 (multiply ?7430 (inverse (inverse ?7431)) ?7432) ?7432 [7432, 7431, 7430] by Demod 4057 with 431 at 2,2
% 6.08/1.83 Id : 4129, {_}: multiply ?7430 ?7431 ?7432 =<= multiply ?7431 (multiply ?7430 ?7431 ?7432) ?7432 [7432, 7431, 7430] by Demod 4128 with 431 at 2,2,3
% 6.08/1.83 Id : 13195, {_}: multiply ?19738 (multiply ?19739 ?19740 ?19738) (multiply ?19739 ?19740 ?19738) =>= multiply ?19738 (multiply ?19739 ?19740 ?19738) ?19740 [19740, 19739, 19738] by Super 13126 with 4129 at 3,2
% 6.08/1.83 Id : 13747, {_}: multiply ?20559 ?20560 ?20561 =<= multiply ?20561 (multiply ?20559 ?20560 ?20561) ?20560 [20561, 20560, 20559] by Demod 13195 with 3 at 2
% 6.08/1.83 Id : 13035, {_}: multiply ?19099 ?19100 (multiply ?19101 ?19100 ?19099) =>= multiply ?19099 ?19100 ?19101 [19101, 19100, 19099] by Demod 12909 with 78 at 3
% 6.08/1.83 Id : 13760, {_}: multiply ?20604 ?20605 (multiply ?20606 ?20605 ?20604) =<= multiply (multiply ?20606 ?20605 ?20604) (multiply ?20604 ?20605 ?20606) ?20605 [20606, 20605, 20604] by Super 13747 with 13035 at 2,3
% 6.08/1.83 Id : 13918, {_}: multiply ?20604 ?20605 ?20606 =<= multiply (multiply ?20606 ?20605 ?20604) (multiply ?20604 ?20605 ?20606) ?20605 [20606, 20605, 20604] by Demod 13760 with 13035 at 2
% 6.08/1.83 Id : 34511, {_}: multiply (multiply ?54457 ?54458 ?54459) ?54460 ?54457 =<= multiply ?54457 ?54458 (multiply ?54459 ?54460 (multiply ?54461 ?54457 (inverse ?54458))) [54461, 54460, 54459, 54458, 54457] by Super 2 with 99 at 3,2
% 6.08/1.83 Id : 35038, {_}: multiply (multiply ?55874 ?55875 ?55876) ?55876 ?55874 =>= multiply ?55874 ?55875 ?55876 [55876, 55875, 55874] by Super 34511 with 4 at 3,3
% 6.08/1.83 Id : 35115, {_}: multiply (multiply ?56190 ?56191 ?56192) ?56192 ?56191 =?= multiply ?56191 (multiply ?56190 ?56191 ?56192) ?56192 [56192, 56191, 56190] by Super 35038 with 4129 at 1,2
% 6.08/1.83 Id : 35386, {_}: multiply (multiply ?56190 ?56191 ?56192) ?56192 ?56191 =>= multiply ?56190 ?56191 ?56192 [56192, 56191, 56190] by Demod 35115 with 4129 at 3
% 6.08/1.83 Id : 36603, {_}: multiply (multiply ?58330 ?58331 ?58332) ?58332 ?58331 =<= multiply (multiply ?58331 ?58332 (multiply ?58330 ?58331 ?58332)) (multiply ?58330 ?58331 ?58332) ?58332 [58332, 58331, 58330] by Super 13918 with 35386 at 2,3
% 6.08/1.83 Id : 36960, {_}: multiply ?58330 ?58331 ?58332 =<= multiply (multiply ?58331 ?58332 (multiply ?58330 ?58331 ?58332)) (multiply ?58330 ?58331 ?58332) ?58332 [58332, 58331, 58330] by Demod 36603 with 35386 at 2
% 6.08/1.83 Id : 36961, {_}: multiply ?58330 ?58331 ?58332 =<= multiply ?58331 ?58332 (multiply ?58330 ?58331 ?58332) [58332, 58331, 58330] by Demod 36960 with 35386 at 3
% 6.08/1.83 Id : 130, {_}: multiply ?283 ?284 (multiply ?285 ?286 ?287) =<= multiply ?283 ?284 (multiply (multiply ?283 ?284 ?285) ?286 ?287) [287, 286, 285, 284, 283] by Demod 110 with 2 at 2
% 6.08/1.83 Id : 2814, {_}: multiply ?5212 (inverse (inverse ?5213)) ?5214 =<= multiply ?5213 (multiply ?5212 (inverse (inverse ?5213)) ?5214) ?5212 [5214, 5213, 5212] by Super 619 with 2526 at 3,3
% 6.08/1.83 Id : 2905, {_}: multiply ?5212 ?5213 ?5214 =<= multiply ?5213 (multiply ?5212 (inverse (inverse ?5213)) ?5214) ?5212 [5214, 5213, 5212] by Demod 2814 with 431 at 2,2
% 6.08/1.83 Id : 2906, {_}: multiply ?5212 ?5213 ?5214 =<= multiply ?5213 (multiply ?5212 ?5213 ?5214) ?5212 [5214, 5213, 5212] by Demod 2905 with 431 at 2,2,3
% 6.08/1.83 Id : 35110, {_}: multiply (multiply ?56170 ?56171 ?56172) ?56170 ?56171 =?= multiply ?56171 (multiply ?56170 ?56171 ?56172) ?56170 [56172, 56171, 56170] by Super 35038 with 2906 at 1,2
% 6.08/1.83 Id : 35377, {_}: multiply (multiply ?56170 ?56171 ?56172) ?56170 ?56171 =>= multiply ?56170 ?56171 ?56172 [56172, 56171, 56170] by Demod 35110 with 2906 at 3
% 6.08/1.83 Id : 36034, {_}: multiply ?57466 ?57467 (multiply ?57468 ?57466 ?57467) =?= multiply ?57466 ?57467 (multiply ?57466 ?57467 ?57468) [57468, 57467, 57466] by Super 130 with 35377 at 3,3
% 6.08/1.83 Id : 36323, {_}: multiply ?57466 ?57467 (multiply ?57468 ?57466 ?57467) =>= multiply ?57466 ?57467 ?57468 [57468, 57467, 57466] by Demod 36034 with 78 at 3
% 6.08/1.83 Id : 37698, {_}: multiply ?58330 ?58331 ?58332 =?= multiply ?58331 ?58332 ?58330 [58332, 58331, 58330] by Demod 36961 with 36323 at 3
% 6.08/1.83 Id : 19, {_}: multiply ?83 ?84 ?85 =<= multiply ?83 ?84 (multiply ?85 (multiply ?83 ?84 ?85) ?86) [86, 85, 84, 83] by Super 2 with 4 at 2
% 6.08/1.83 Id : 311, {_}: multiply ?814 (multiply ?815 ?816 ?814) (multiply ?815 ?816 ?817) =?= multiply ?814 (multiply ?815 ?816 ?814) (multiply ?815 ?816 ?814) [817, 816, 815, 814] by Super 292 with 19 at 3,3
% 6.08/1.83 Id : 25003, {_}: multiply ?35223 (multiply ?35224 ?35225 ?35223) (multiply ?35224 ?35225 ?35226) =>= multiply ?35224 ?35225 ?35223 [35226, 35225, 35224, 35223] by Demod 311 with 3 at 3
% 6.08/1.83 Id : 25008, {_}: multiply ?35246 (multiply ?35247 ?35248 ?35246) ?35247 =>= multiply ?35247 ?35248 ?35246 [35248, 35247, 35246] by Super 25003 with 6 at 3,2
% 6.08/1.83 Id : 38112, {_}: multiply ?61981 ?61982 (multiply ?61981 ?61983 ?61982) =>= multiply ?61981 ?61983 ?61982 [61983, 61982, 61981] by Super 25008 with 37698 at 2
% 6.08/1.83 Id : 38063, {_}: multiply ?61785 ?61786 (multiply ?61785 ?61787 ?61786) =>= multiply ?61785 ?61786 ?61787 [61787, 61786, 61785] by Super 13035 with 37698 at 3,2
% 6.08/1.83 Id : 41620, {_}: multiply ?61981 ?61982 ?61983 =?= multiply ?61981 ?61983 ?61982 [61983, 61982, 61981] by Demod 38112 with 38063 at 2
% 6.08/1.83 Id : 456, {_}: multiply ?1075 (inverse ?1075) ?1076 =>= ?1076 [1076, 1075] by Super 5 with 431 at 1,2
% 6.08/1.83 Id : 455, {_}: multiply ?1072 (inverse ?1073) ?1073 =>= ?1072 [1073, 1072] by Super 6 with 431 at 3,2
% 6.08/1.83 Id : 42623, {_}: b === b [] by Demod 42622 with 455 at 2
% 6.08/1.83 Id : 42622, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply e f g)) =>= b [] by Demod 42621 with 41620 at 3,3,2
% 6.08/1.83 Id : 42621, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply e g f)) =>= b [] by Demod 42620 with 37698 at 3,3,2
% 6.08/1.83 Id : 42620, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply f e g)) =>= b [] by Demod 42619 with 37698 at 3,3,2
% 6.08/1.83 Id : 42619, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c d (multiply g f e)) =>= b [] by Demod 42618 with 41620 at 3,2
% 6.08/1.83 Id : 42618, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply c (multiply g f e) d) =>= b [] by Demod 42617 with 37698 at 3,2
% 6.08/1.83 Id : 42617, {_}: multiply b (inverse (multiply c d (multiply e f g))) (multiply d c (multiply g f e)) =>= b [] by Demod 42616 with 41620 at 2
% 6.08/1.83 Id : 42616, {_}: multiply b (multiply d c (multiply g f e)) (inverse (multiply c d (multiply e f g))) =>= b [] by Demod 42615 with 37698 at 2
% 6.08/1.83 Id : 42615, {_}: multiply (inverse (multiply c d (multiply e f g))) b (multiply d c (multiply g f e)) =>= b [] by Demod 42614 with 41620 at 3,2
% 6.08/1.83 Id : 42614, {_}: multiply (inverse (multiply c d (multiply e f g))) b (multiply d (multiply g f e) c) =>= b [] by Demod 42613 with 456 at 2,2
% 6.08/1.83 Id : 42613, {_}: multiply (inverse (multiply c d (multiply e f g))) (multiply a (inverse a) b) (multiply d (multiply g f e) c) =>= b [] by Demod 42612 with 41620 at 2
% 6.08/1.83 Id : 42612, {_}: multiply (inverse (multiply c d (multiply e f g))) (multiply d (multiply g f e) c) (multiply a (inverse a) b) =>= b [] by Demod 47 with 37698 at 2
% 6.08/1.83 Id : 47, {_}: multiply (multiply a (inverse a) b) (inverse (multiply c d (multiply e f g))) (multiply d (multiply g f e) c) =>= b [] by Demod 1 with 2 at 1,2,2
% 6.08/1.83 Id : 1, {_}: multiply (multiply a (inverse a) b) (inverse (multiply (multiply c d e) f (multiply c d g))) (multiply d (multiply g f e) c) =>= b [] by prove_single_axiom
% 6.08/1.83 % SZS output end CNFRefutation for theBenchmark.p
% 6.08/1.83 3235: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.49107 using nrkbo
%------------------------------------------------------------------------------