TSTP Solution File: BOO015-4 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% 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 23:44:14 EDT 2022
% Result : Unsatisfiable 59.29s 15.17s
% Output : CNFRefutation 59.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 1 18:12:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 10115: Facts:
% 0.14/0.35 10115: Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.14/0.35 10115: Id : 3, {_}:
% 0.14/0.35 multiply ?5 ?6 =?= multiply ?6 ?5
% 0.14/0.35 [6, 5] by commutativity_of_multiply ?5 ?6
% 0.14/0.35 10115: Id : 4, {_}:
% 0.14/0.35 add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.14/0.35 [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.14/0.35 10115: Id : 5, {_}:
% 0.14/0.35 multiply ?12 (add ?13 ?14)
% 0.14/0.35 =<=
% 0.14/0.35 add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.14/0.35 [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.14/0.35 10115: Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.14/0.35 10115: Id : 7, {_}:
% 0.14/0.35 multiply ?18 multiplicative_identity =>= ?18
% 0.14/0.35 [18] by multiplicative_id1 ?18
% 0.14/0.35 10115: Id : 8, {_}:
% 0.14/0.35 add ?20 (inverse ?20) =>= multiplicative_identity
% 0.14/0.35 [20] by additive_inverse1 ?20
% 0.14/0.35 10115: Id : 9, {_}:
% 0.14/0.35 multiply ?22 (inverse ?22) =>= additive_identity
% 0.14/0.35 [22] by multiplicative_inverse1 ?22
% 0.14/0.35 10115: Goal:
% 0.14/0.35 10115: Id : 1, {_}:
% 0.14/0.35 inverse (multiply a b) =<= add (inverse a) (inverse b)
% 0.14/0.35 [] by prove_c_inverse_is_d
% 59.29/15.17 Statistics :
% 59.29/15.17 Max weight : 17
% 59.29/15.17 Found proof, 14.823401s
% 59.29/15.17 % SZS status Unsatisfiable for theBenchmark.p
% 59.29/15.17 % SZS output start CNFRefutation for theBenchmark.p
% 59.29/15.17 Id : 38, {_}: multiply ?112 (add ?113 ?114) =<= add (multiply ?112 ?113) (multiply ?112 ?114) [114, 113, 112] by distributivity2 ?112 ?113 ?114
% 59.29/15.17 Id : 3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 59.29/15.17 Id : 4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 59.29/15.17 Id : 22, {_}: add ?62 (multiply ?63 ?64) =<= multiply (add ?62 ?63) (add ?62 ?64) [64, 63, 62] by distributivity1 ?62 ?63 ?64
% 59.29/15.17 Id : 7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 59.29/15.17 Id : 8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 59.29/15.17 Id : 6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 59.29/15.17 Id : 2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 59.29/15.17 Id : 9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 59.29/15.17 Id : 5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 59.29/15.17 Id : 79, {_}: multiply ?204 (add (inverse ?204) ?205) =>= add additive_identity (multiply ?204 ?205) [205, 204] by Super 5 with 9 at 1,3
% 59.29/15.17 Id : 54, {_}: add additive_identity ?160 =>= ?160 [160] by Super 2 with 6 at 3
% 59.29/15.17 Id : 3390, {_}: multiply ?4711 (add (inverse ?4711) ?4712) =>= multiply ?4711 ?4712 [4712, 4711] by Demod 79 with 54 at 3
% 59.29/15.17 Id : 3395, {_}: multiply ?4723 multiplicative_identity =<= multiply ?4723 (inverse (inverse ?4723)) [4723] by Super 3390 with 8 at 2,2
% 59.29/15.17 Id : 3454, {_}: ?4723 =<= multiply ?4723 (inverse (inverse ?4723)) [4723] by Demod 3395 with 7 at 2
% 59.29/15.17 Id : 25, {_}: add ?74 (multiply ?75 ?76) =<= multiply (add ?75 ?74) (add ?74 ?76) [76, 75, 74] by Super 22 with 2 at 1,3
% 59.29/15.17 Id : 62, {_}: multiply ?175 (add multiplicative_identity ?176) =<= add ?175 (multiply ?175 ?176) [176, 175] by Super 5 with 7 at 1,3
% 59.29/15.17 Id : 61, {_}: multiply ?172 (add ?173 multiplicative_identity) =<= add (multiply ?172 ?173) ?172 [173, 172] by Super 5 with 7 at 2,3
% 59.29/15.17 Id : 69, {_}: multiply ?172 (add ?173 multiplicative_identity) =<= add ?172 (multiply ?172 ?173) [173, 172] by Demod 61 with 2 at 3
% 59.29/15.17 Id : 544, {_}: multiply ?172 (add ?173 multiplicative_identity) =?= multiply ?172 (add multiplicative_identity ?173) [173, 172] by Demod 69 with 62 at 3
% 59.29/15.17 Id : 71, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
% 59.29/15.17 Id : 63, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 59.29/15.17 Id : 1978, {_}: add ?2741 (multiply (inverse ?2741) ?2742) =>= add ?2741 ?2742 [2742, 2741] by Demod 71 with 63 at 3
% 59.29/15.17 Id : 1982, {_}: add ?2751 (inverse ?2751) =>= add ?2751 multiplicative_identity [2751] by Super 1978 with 7 at 2,2
% 59.29/15.17 Id : 2030, {_}: multiplicative_identity =<= add ?2751 multiplicative_identity [2751] by Demod 1982 with 8 at 2
% 59.29/15.17 Id : 2049, {_}: multiply ?172 multiplicative_identity =<= multiply ?172 (add multiplicative_identity ?173) [173, 172] by Demod 544 with 2030 at 2,2
% 59.29/15.17 Id : 2051, {_}: ?172 =<= multiply ?172 (add multiplicative_identity ?173) [173, 172] by Demod 2049 with 7 at 2
% 59.29/15.17 Id : 2056, {_}: ?175 =<= add ?175 (multiply ?175 ?176) [176, 175] by Demod 62 with 2051 at 2
% 59.29/15.17 Id : 70, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= multiply (add ?190 ?191) multiplicative_identity [191, 190] by Super 4 with 8 at 2,3
% 59.29/15.17 Id : 77, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= multiply multiplicative_identity (add ?190 ?191) [191, 190] by Demod 70 with 3 at 3
% 59.29/15.17 Id : 2390, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= add ?190 ?191 [191, 190] by Demod 77 with 63 at 3
% 59.29/15.17 Id : 2391, {_}: ?3218 =<= add ?3218 ?3218 [3218] by Super 2056 with 2390 at 3
% 59.29/15.17 Id : 2478, {_}: add ?3361 (multiply ?3362 ?3361) =>= multiply (add ?3362 ?3361) ?3361 [3362, 3361] by Super 25 with 2391 at 2,3
% 59.29/15.17 Id : 257, {_}: multiply ?497 (add multiplicative_identity ?498) =<= add ?497 (multiply ?497 ?498) [498, 497] by Super 5 with 7 at 1,3
% 59.29/15.17 Id : 258, {_}: multiply ?500 (add multiplicative_identity ?501) =<= add ?500 (multiply ?501 ?500) [501, 500] by Super 257 with 3 at 2,3
% 59.29/15.17 Id : 2054, {_}: ?500 =<= add ?500 (multiply ?501 ?500) [501, 500] by Demod 258 with 2051 at 2
% 59.29/15.17 Id : 2493, {_}: ?3361 =<= multiply (add ?3362 ?3361) ?3361 [3362, 3361] by Demod 2478 with 2054 at 2
% 59.29/15.17 Id : 2539, {_}: ?3451 =<= multiply ?3451 (add ?3452 ?3451) [3452, 3451] by Demod 2493 with 3 at 3
% 59.29/15.17 Id : 1983, {_}: add ?2753 additive_identity =<= add ?2753 (inverse (inverse ?2753)) [2753] by Super 1978 with 9 at 2,2
% 59.29/15.17 Id : 2031, {_}: ?2753 =<= add ?2753 (inverse (inverse ?2753)) [2753] by Demod 1983 with 6 at 2
% 59.29/15.17 Id : 2553, {_}: inverse (inverse ?3491) =<= multiply (inverse (inverse ?3491)) ?3491 [3491] by Super 2539 with 2031 at 2,3
% 59.29/15.17 Id : 2587, {_}: inverse (inverse ?3491) =<= multiply ?3491 (inverse (inverse ?3491)) [3491] by Demod 2553 with 3 at 3
% 59.29/15.17 Id : 3455, {_}: ?4723 =<= inverse (inverse ?4723) [4723] by Demod 3454 with 2587 at 3
% 59.29/15.17 Id : 39, {_}: multiply ?116 (add ?117 ?118) =<= add (multiply ?116 ?117) (multiply ?118 ?116) [118, 117, 116] by Super 38 with 3 at 2,3
% 59.29/15.17 Id : 3403, {_}: multiply ?4746 (inverse ?4746) =<= multiply ?4746 (multiply ?4747 (inverse ?4746)) [4747, 4746] by Super 3390 with 2054 at 2,2
% 59.29/15.17 Id : 4391, {_}: additive_identity =<= multiply ?6014 (multiply ?6015 (inverse ?6014)) [6015, 6014] by Demod 3403 with 9 at 2
% 59.29/15.17 Id : 4394, {_}: additive_identity =<= multiply (inverse ?6021) (multiply ?6022 ?6021) [6022, 6021] by Super 4391 with 3455 at 2,2,3
% 59.29/15.17 Id : 5579, {_}: multiply (inverse ?7408) (add (multiply ?7409 ?7408) ?7410) =>= add additive_identity (multiply ?7410 (inverse ?7408)) [7410, 7409, 7408] by Super 39 with 4394 at 1,3
% 59.29/15.17 Id : 5623, {_}: multiply (inverse ?7408) (add (multiply ?7409 ?7408) ?7410) =>= multiply ?7410 (inverse ?7408) [7410, 7409, 7408] by Demod 5579 with 54 at 3
% 59.29/15.17 Id : 91, {_}: add ?233 (multiply ?234 ?235) =<= multiply (add ?233 ?234) (add ?235 ?233) [235, 234, 233] by Super 22 with 2 at 2,3
% 59.29/15.17 Id : 94, {_}: add (inverse ?244) (multiply ?245 ?244) =>= multiply (add (inverse ?244) ?245) multiplicative_identity [245, 244] by Super 91 with 8 at 2,3
% 59.29/15.17 Id : 107, {_}: add (inverse ?244) (multiply ?245 ?244) =>= multiply multiplicative_identity (add (inverse ?244) ?245) [245, 244] by Demod 94 with 3 at 3
% 59.29/15.17 Id : 3626, {_}: add (inverse ?4993) (multiply ?4994 ?4993) =>= add (inverse ?4993) ?4994 [4994, 4993] by Demod 107 with 63 at 3
% 59.29/15.17 Id : 3368, {_}: multiply ?204 (add (inverse ?204) ?205) =>= multiply ?204 ?205 [205, 204] by Demod 79 with 54 at 3
% 59.29/15.17 Id : 3631, {_}: add (inverse (add (inverse ?5005) ?5006)) (multiply ?5005 ?5006) =>= add (inverse (add (inverse ?5005) ?5006)) ?5005 [5006, 5005] by Super 3626 with 3368 at 2,2
% 59.29/15.17 Id : 3695, {_}: add (multiply ?5005 ?5006) (inverse (add (inverse ?5005) ?5006)) =>= add (inverse (add (inverse ?5005) ?5006)) ?5005 [5006, 5005] by Demod 3631 with 2 at 2
% 59.29/15.17 Id : 3696, {_}: add (multiply ?5005 ?5006) (inverse (add (inverse ?5005) ?5006)) =>= add ?5005 (inverse (add (inverse ?5005) ?5006)) [5006, 5005] by Demod 3695 with 2 at 3
% 59.29/15.17 Id : 1954, {_}: add ?193 (multiply (inverse ?193) ?194) =>= add ?193 ?194 [194, 193] by Demod 71 with 63 at 3
% 59.29/15.17 Id : 2224, {_}: multiply ?2995 (add ?2996 ?2997) =<= add (multiply ?2995 ?2996) (multiply ?2997 ?2995) [2997, 2996, 2995] by Super 38 with 3 at 2,3
% 59.29/15.17 Id : 2227, {_}: multiply (inverse ?3006) (add ?3007 ?3006) =?= add (multiply (inverse ?3006) ?3007) additive_identity [3007, 3006] by Super 2224 with 9 at 2,3
% 59.29/15.17 Id : 2265, {_}: multiply (inverse ?3006) (add ?3007 ?3006) =?= add additive_identity (multiply (inverse ?3006) ?3007) [3007, 3006] by Demod 2227 with 2 at 3
% 59.29/15.17 Id : 3905, {_}: multiply (inverse ?5301) (add ?5302 ?5301) =>= multiply (inverse ?5301) ?5302 [5302, 5301] by Demod 2265 with 54 at 3
% 59.29/15.17 Id : 2479, {_}: add ?3364 (multiply ?3364 ?3365) =>= multiply ?3364 (add ?3364 ?3365) [3365, 3364] by Super 25 with 2391 at 1,3
% 59.29/15.17 Id : 2495, {_}: ?3364 =<= multiply ?3364 (add ?3364 ?3365) [3365, 3364] by Demod 2479 with 2056 at 2
% 59.29/15.17 Id : 2718, {_}: add ?3665 ?3666 =<= add (add ?3665 ?3666) ?3665 [3666, 3665] by Super 2054 with 2495 at 2,3
% 59.29/15.17 Id : 2748, {_}: add ?3665 ?3666 =<= add ?3665 (add ?3665 ?3666) [3666, 3665] by Demod 2718 with 2 at 3
% 59.29/15.17 Id : 3926, {_}: multiply (inverse (add ?5364 ?5365)) (add ?5364 ?5365) =>= multiply (inverse (add ?5364 ?5365)) ?5364 [5365, 5364] by Super 3905 with 2748 at 2,2
% 59.29/15.17 Id : 4003, {_}: multiply (add ?5364 ?5365) (inverse (add ?5364 ?5365)) =>= multiply (inverse (add ?5364 ?5365)) ?5364 [5365, 5364] by Demod 3926 with 3 at 2
% 59.29/15.17 Id : 4004, {_}: multiply (add ?5364 ?5365) (inverse (add ?5364 ?5365)) =>= multiply ?5364 (inverse (add ?5364 ?5365)) [5365, 5364] by Demod 4003 with 3 at 3
% 59.29/15.17 Id : 4005, {_}: additive_identity =<= multiply ?5364 (inverse (add ?5364 ?5365)) [5365, 5364] by Demod 4004 with 9 at 2
% 59.29/15.17 Id : 5418, {_}: add ?7220 additive_identity =<= add ?7220 (inverse (add (inverse ?7220) ?7221)) [7221, 7220] by Super 1954 with 4005 at 2,2
% 59.29/15.17 Id : 5483, {_}: ?7220 =<= add ?7220 (inverse (add (inverse ?7220) ?7221)) [7221, 7220] by Demod 5418 with 6 at 2
% 59.29/15.17 Id : 127345, {_}: add (multiply ?5005 ?5006) (inverse (add (inverse ?5005) ?5006)) =>= ?5005 [5006, 5005] by Demod 3696 with 5483 at 3
% 59.29/15.17 Id : 127467, {_}: multiply (inverse ?219757) ?219758 =<= multiply (inverse (add (inverse ?219758) ?219757)) (inverse ?219757) [219758, 219757] by Super 5623 with 127345 at 2,2
% 59.29/15.17 Id : 127742, {_}: multiply (inverse ?219757) ?219758 =<= multiply (inverse ?219757) (inverse (add (inverse ?219758) ?219757)) [219758, 219757] by Demod 127467 with 3 at 3
% 59.29/15.17 Id : 2266, {_}: multiply (inverse ?3006) (add ?3007 ?3006) =>= multiply (inverse ?3006) ?3007 [3007, 3006] by Demod 2265 with 54 at 3
% 59.29/15.17 Id : 163, {_}: add ?364 (multiply ?365 ?366) =<= multiply (add ?365 ?364) (add ?364 ?366) [366, 365, 364] by Super 22 with 2 at 1,3
% 59.29/15.17 Id : 172, {_}: add (inverse ?397) (multiply ?397 ?398) =>= multiply multiplicative_identity (add (inverse ?397) ?398) [398, 397] by Super 163 with 8 at 1,3
% 59.29/15.17 Id : 3748, {_}: add (inverse ?5147) (multiply ?5147 ?5148) =>= add (inverse ?5147) ?5148 [5148, 5147] by Demod 172 with 63 at 3
% 59.29/15.17 Id : 2494, {_}: ?3361 =<= multiply ?3361 (add ?3362 ?3361) [3362, 3361] by Demod 2493 with 3 at 3
% 59.29/15.17 Id : 3763, {_}: add (inverse ?5194) ?5194 =<= add (inverse ?5194) (add ?5195 ?5194) [5195, 5194] by Super 3748 with 2494 at 2,2
% 59.29/15.17 Id : 3830, {_}: add ?5194 (inverse ?5194) =<= add (inverse ?5194) (add ?5195 ?5194) [5195, 5194] by Demod 3763 with 2 at 2
% 59.29/15.17 Id : 3831, {_}: multiplicative_identity =<= add (inverse ?5194) (add ?5195 ?5194) [5195, 5194] by Demod 3830 with 8 at 2
% 59.29/15.17 Id : 4995, {_}: multiply (inverse (add ?6725 ?6726)) multiplicative_identity =<= multiply (inverse (add ?6725 ?6726)) (inverse ?6726) [6726, 6725] by Super 2266 with 3831 at 2,2
% 59.29/15.18 Id : 5039, {_}: multiply multiplicative_identity (inverse (add ?6725 ?6726)) =<= multiply (inverse (add ?6725 ?6726)) (inverse ?6726) [6726, 6725] by Demod 4995 with 3 at 2
% 59.29/15.18 Id : 5040, {_}: multiply multiplicative_identity (inverse (add ?6725 ?6726)) =<= multiply (inverse ?6726) (inverse (add ?6725 ?6726)) [6726, 6725] by Demod 5039 with 3 at 3
% 59.29/15.18 Id : 5041, {_}: inverse (add ?6725 ?6726) =<= multiply (inverse ?6726) (inverse (add ?6725 ?6726)) [6726, 6725] by Demod 5040 with 63 at 2
% 59.29/15.18 Id : 127743, {_}: multiply (inverse ?219757) ?219758 =<= inverse (add (inverse ?219758) ?219757) [219758, 219757] by Demod 127742 with 5041 at 3
% 59.29/15.18 Id : 129822, {_}: add (inverse ?222591) ?222592 =<= inverse (multiply (inverse ?222592) ?222591) [222592, 222591] by Super 3455 with 127743 at 1,3
% 59.29/15.18 Id : 129830, {_}: add (inverse ?222620) (inverse ?222621) =>= inverse (multiply ?222621 ?222620) [222621, 222620] by Super 129822 with 3455 at 1,1,3
% 59.29/15.18 Id : 3605, {_}: add (inverse ?244) (multiply ?245 ?244) =>= add (inverse ?244) ?245 [245, 244] by Demod 107 with 63 at 3
% 59.29/15.18 Id : 5565, {_}: add (inverse (multiply ?7358 ?7359)) additive_identity =<= add (inverse (multiply ?7358 ?7359)) (inverse ?7359) [7359, 7358] by Super 3605 with 4394 at 2,2
% 59.29/15.18 Id : 5652, {_}: add additive_identity (inverse (multiply ?7358 ?7359)) =<= add (inverse (multiply ?7358 ?7359)) (inverse ?7359) [7359, 7358] by Demod 5565 with 2 at 2
% 59.29/15.18 Id : 5653, {_}: add additive_identity (inverse (multiply ?7358 ?7359)) =<= add (inverse ?7359) (inverse (multiply ?7358 ?7359)) [7359, 7358] by Demod 5652 with 2 at 3
% 59.29/15.18 Id : 8827, {_}: inverse (multiply ?11143 ?11144) =<= add (inverse ?11144) (inverse (multiply ?11143 ?11144)) [11144, 11143] by Demod 5653 with 54 at 2
% 59.29/15.18 Id : 8828, {_}: inverse (multiply ?11146 ?11147) =<= add (inverse ?11147) (inverse (multiply ?11147 ?11146)) [11147, 11146] by Super 8827 with 3 at 1,2,3
% 59.29/15.18 Id : 3404, {_}: multiply ?4749 (inverse ?4749) =<= multiply ?4749 (multiply (inverse ?4749) ?4750) [4750, 4749] by Super 3390 with 2056 at 2,2
% 59.29/15.18 Id : 4482, {_}: additive_identity =<= multiply ?6121 (multiply (inverse ?6121) ?6122) [6122, 6121] by Demod 3404 with 9 at 2
% 59.29/15.18 Id : 4485, {_}: additive_identity =<= multiply (inverse ?6128) (multiply ?6128 ?6129) [6129, 6128] by Super 4482 with 3455 at 1,2,3
% 59.29/15.18 Id : 5724, {_}: add (inverse (multiply ?7566 ?7567)) additive_identity =<= add (inverse (multiply ?7566 ?7567)) (inverse ?7566) [7567, 7566] by Super 3605 with 4485 at 2,2
% 59.29/15.18 Id : 5781, {_}: add additive_identity (inverse (multiply ?7566 ?7567)) =<= add (inverse (multiply ?7566 ?7567)) (inverse ?7566) [7567, 7566] by Demod 5724 with 2 at 2
% 59.29/15.18 Id : 5782, {_}: add additive_identity (inverse (multiply ?7566 ?7567)) =<= add (inverse ?7566) (inverse (multiply ?7566 ?7567)) [7567, 7566] by Demod 5781 with 2 at 3
% 59.29/15.18 Id : 5783, {_}: inverse (multiply ?7566 ?7567) =<= add (inverse ?7566) (inverse (multiply ?7566 ?7567)) [7567, 7566] by Demod 5782 with 54 at 2
% 59.29/15.18 Id : 10511, {_}: inverse (multiply ?11146 ?11147) =?= inverse (multiply ?11147 ?11146) [11147, 11146] by Demod 8828 with 5783 at 3
% 59.29/15.18 Id : 131926, {_}: inverse (multiply a b) =?= inverse (multiply a b) [] by Demod 131925 with 10511 at 3
% 59.29/15.18 Id : 131925, {_}: inverse (multiply a b) =<= inverse (multiply b a) [] by Demod 1 with 129830 at 3
% 59.29/15.18 Id : 1, {_}: inverse (multiply a b) =<= add (inverse a) (inverse b) [] by prove_c_inverse_is_d
% 59.29/15.18 % SZS output end CNFRefutation for theBenchmark.p
% 59.29/15.18 10116: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 14.824955 using kbo
%------------------------------------------------------------------------------