TSTP Solution File: BOO014-4 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n024.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 23:44:13 EDT 2022

% Result   : Unsatisfiable 49.87s 12.81s
% Output   : CNFRefutation 49.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34  % Computer : n024.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 22:02:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  2378: Facts:
% 0.13/0.35  2378:  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 0.13/0.35  2378:  Id :   3, {_}:
% 0.13/0.35            multiply ?5 ?6 =?= multiply ?6 ?5
% 0.13/0.35            [6, 5] by commutativity_of_multiply ?5 ?6
% 0.13/0.35  2378:  Id :   4, {_}:
% 0.13/0.35            add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10)
% 0.13/0.35            [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 0.13/0.35  2378:  Id :   5, {_}:
% 0.13/0.35            multiply ?12 (add ?13 ?14)
% 0.13/0.35            =<=
% 0.13/0.35            add (multiply ?12 ?13) (multiply ?12 ?14)
% 0.13/0.35            [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 0.13/0.35  2378:  Id :   6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 0.13/0.35  2378:  Id :   7, {_}:
% 0.13/0.35            multiply ?18 multiplicative_identity =>= ?18
% 0.13/0.35            [18] by multiplicative_id1 ?18
% 0.13/0.35  2378:  Id :   8, {_}:
% 0.13/0.35            add ?20 (inverse ?20) =>= multiplicative_identity
% 0.13/0.35            [20] by additive_inverse1 ?20
% 0.13/0.35  2378:  Id :   9, {_}:
% 0.13/0.35            multiply ?22 (inverse ?22) =>= additive_identity
% 0.13/0.35            [22] by multiplicative_inverse1 ?22
% 0.13/0.35  2378: Goal:
% 0.13/0.35  2378:  Id :   1, {_}:
% 0.13/0.35            inverse (add a b) =<= multiply (inverse a) (inverse b)
% 0.13/0.35            [] by prove_c_inverse_is_d
% 49.87/12.81  Statistics :
% 49.87/12.81  Max weight : 15
% 49.87/12.81  Found proof, 12.461109s
% 49.87/12.81  % SZS status Unsatisfiable for theBenchmark.p
% 49.87/12.81  % SZS output start CNFRefutation for theBenchmark.p
% 49.87/12.81  Id :  22, {_}: add ?62 (multiply ?63 ?64) =<= multiply (add ?62 ?63) (add ?62 ?64) [64, 63, 62] by distributivity1 ?62 ?63 ?64
% 49.87/12.81  Id :   6, {_}: add ?16 additive_identity =>= ?16 [16] by additive_id1 ?16
% 49.87/12.81  Id :   9, {_}: multiply ?22 (inverse ?22) =>= additive_identity [22] by multiplicative_inverse1 ?22
% 49.87/12.81  Id :   5, {_}: multiply ?12 (add ?13 ?14) =<= add (multiply ?12 ?13) (multiply ?12 ?14) [14, 13, 12] by distributivity2 ?12 ?13 ?14
% 49.87/12.81  Id :   8, {_}: add ?20 (inverse ?20) =>= multiplicative_identity [20] by additive_inverse1 ?20
% 49.87/12.81  Id :   4, {_}: add ?8 (multiply ?9 ?10) =<= multiply (add ?8 ?9) (add ?8 ?10) [10, 9, 8] by distributivity1 ?8 ?9 ?10
% 49.87/12.81  Id :   2, {_}: add ?2 ?3 =?= add ?3 ?2 [3, 2] by commutativity_of_add ?2 ?3
% 49.87/12.81  Id :   7, {_}: multiply ?18 multiplicative_identity =>= ?18 [18] by multiplicative_id1 ?18
% 49.87/12.81  Id :   3, {_}: multiply ?5 ?6 =?= multiply ?6 ?5 [6, 5] by commutativity_of_multiply ?5 ?6
% 49.87/12.81  Id :  38, {_}: multiply ?112 (add ?113 ?114) =<= add (multiply ?112 ?113) (multiply ?112 ?114) [114, 113, 112] by distributivity2 ?112 ?113 ?114
% 49.87/12.81  Id : 2029, {_}: multiply ?2713 (add ?2714 ?2715) =<= add (multiply ?2713 ?2714) (multiply ?2715 ?2713) [2715, 2714, 2713] by Super 38 with 3 at 2,3
% 49.87/12.81  Id : 2049, {_}: multiply ?2790 (add multiplicative_identity ?2791) =?= add ?2790 (multiply ?2791 ?2790) [2791, 2790] by Super 2029 with 7 at 1,3
% 49.87/12.81  Id :  71, {_}: add ?193 (multiply (inverse ?193) ?194) =>= multiply multiplicative_identity (add ?193 ?194) [194, 193] by Super 4 with 8 at 1,3
% 49.87/12.81  Id :  63, {_}: multiply multiplicative_identity ?178 =>= ?178 [178] by Super 3 with 7 at 3
% 49.87/12.81  Id : 1751, {_}: add ?2394 (multiply (inverse ?2394) ?2395) =>= add ?2394 ?2395 [2395, 2394] by Demod 71 with 63 at 3
% 49.87/12.81  Id : 1755, {_}: add ?2404 (inverse ?2404) =>= add ?2404 multiplicative_identity [2404] by Super 1751 with 7 at 2,2
% 49.87/12.81  Id : 1796, {_}: multiplicative_identity =<= add ?2404 multiplicative_identity [2404] by Demod 1755 with 8 at 2
% 49.87/12.81  Id : 1821, {_}: add multiplicative_identity ?2475 =>= multiplicative_identity [2475] by Super 2 with 1796 at 3
% 49.87/12.81  Id : 2114, {_}: multiply ?2790 multiplicative_identity =<= add ?2790 (multiply ?2791 ?2790) [2791, 2790] by Demod 2049 with 1821 at 2,2
% 49.87/12.81  Id : 2115, {_}: ?2790 =<= add ?2790 (multiply ?2791 ?2790) [2791, 2790] by Demod 2114 with 7 at 2
% 49.87/12.81  Id :  79, {_}: multiply ?204 (add (inverse ?204) ?205) =>= add additive_identity (multiply ?204 ?205) [205, 204] by Super 5 with 9 at 1,3
% 49.87/12.81  Id :  54, {_}: add additive_identity ?160 =>= ?160 [160] by Super 2 with 6 at 3
% 49.87/12.81  Id : 3839, {_}: multiply ?4866 (add (inverse ?4866) ?4867) =>= multiply ?4866 ?4867 [4867, 4866] by Demod 79 with 54 at 3
% 49.87/12.81  Id : 3844, {_}: multiply ?4878 multiplicative_identity =<= multiply ?4878 (inverse (inverse ?4878)) [4878] by Super 3839 with 8 at 2,2
% 49.87/12.81  Id : 3903, {_}: ?4878 =<= multiply ?4878 (inverse (inverse ?4878)) [4878] by Demod 3844 with 7 at 2
% 49.87/12.81  Id : 3935, {_}: inverse (inverse ?4968) =<= add (inverse (inverse ?4968)) ?4968 [4968] by Super 2115 with 3903 at 2,3
% 49.87/12.81  Id : 3947, {_}: inverse (inverse ?4968) =<= add ?4968 (inverse (inverse ?4968)) [4968] by Demod 3935 with 2 at 3
% 49.87/12.81  Id : 1756, {_}: add ?2406 additive_identity =<= add ?2406 (inverse (inverse ?2406)) [2406] by Super 1751 with 9 at 2,2
% 49.87/12.81  Id : 1797, {_}: ?2406 =<= add ?2406 (inverse (inverse ?2406)) [2406] by Demod 1756 with 6 at 2
% 49.87/12.81  Id : 3948, {_}: inverse (inverse ?4968) =>= ?4968 [4968] by Demod 3947 with 1797 at 3
% 49.87/12.81  Id : 1731, {_}: add ?193 (multiply (inverse ?193) ?194) =>= add ?193 ?194 [194, 193] by Demod 71 with 63 at 3
% 49.87/12.81  Id : 4911, {_}: add (inverse ?6216) (multiply ?6216 ?6217) =>= add (inverse ?6216) ?6217 [6217, 6216] by Super 1731 with 3948 at 1,2,2
% 49.87/12.81  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
% 49.87/12.81  Id :  98, {_}: add ?260 (multiply additive_identity ?261) =<= multiply ?260 (add ?261 ?260) [261, 260] by Super 91 with 6 at 1,3
% 49.87/12.81  Id : 2033, {_}: multiply ?2727 (add ?2728 multiplicative_identity) =?= add (multiply ?2727 ?2728) ?2727 [2728, 2727] by Super 2029 with 63 at 2,3
% 49.87/12.81  Id : 2091, {_}: multiply ?2727 multiplicative_identity =<= add (multiply ?2727 ?2728) ?2727 [2728, 2727] by Demod 2033 with 1796 at 2,2
% 49.87/12.81  Id : 2092, {_}: multiply ?2727 multiplicative_identity =<= add ?2727 (multiply ?2727 ?2728) [2728, 2727] by Demod 2091 with 2 at 3
% 49.87/12.81  Id : 2093, {_}: ?2727 =<= add ?2727 (multiply ?2727 ?2728) [2728, 2727] by Demod 2092 with 7 at 2
% 49.87/12.81  Id : 2751, {_}: additive_identity =<= multiply additive_identity ?3370 [3370] by Super 54 with 2093 at 2
% 49.87/12.81  Id : 2835, {_}: add ?260 additive_identity =<= multiply ?260 (add ?261 ?260) [261, 260] by Demod 98 with 2751 at 2,2
% 49.87/12.81  Id : 2843, {_}: ?260 =<= multiply ?260 (add ?261 ?260) [261, 260] by Demod 2835 with 6 at 2
% 49.87/12.81  Id : 4929, {_}: add (inverse ?6272) ?6272 =<= add (inverse ?6272) (add ?6273 ?6272) [6273, 6272] by Super 4911 with 2843 at 2,2
% 49.87/12.81  Id : 5010, {_}: add ?6272 (inverse ?6272) =<= add (inverse ?6272) (add ?6273 ?6272) [6273, 6272] by Demod 4929 with 2 at 2
% 49.87/12.81  Id : 5011, {_}: multiplicative_identity =<= add (inverse ?6272) (add ?6273 ?6272) [6273, 6272] by Demod 5010 with 8 at 2
% 49.87/12.81  Id : 5862, {_}: add (inverse ?7327) (multiply (add ?7328 ?7327) ?7329) =>= multiply multiplicative_identity (add (inverse ?7327) ?7329) [7329, 7328, 7327] by Super 4 with 5011 at 1,3
% 49.87/12.81  Id : 5924, {_}: add (inverse ?7327) (multiply (add ?7328 ?7327) ?7329) =>= add (inverse ?7327) ?7329 [7329, 7328, 7327] by Demod 5862 with 63 at 3
% 49.87/12.81  Id : 2032, {_}: multiply (inverse ?2724) (add ?2725 ?2724) =>= add (multiply (inverse ?2724) ?2725) additive_identity [2725, 2724] by Super 2029 with 9 at 2,3
% 49.87/12.81  Id : 2089, {_}: multiply (inverse ?2724) (add ?2725 ?2724) =>= add additive_identity (multiply (inverse ?2724) ?2725) [2725, 2724] by Demod 2032 with 2 at 3
% 49.87/12.81  Id : 4169, {_}: multiply (inverse ?5197) (add ?5198 ?5197) =>= multiply (inverse ?5197) ?5198 [5198, 5197] by Demod 2089 with 54 at 3
% 49.87/12.81  Id : 4175, {_}: multiply (inverse (multiply (inverse ?5213) ?5214)) (add ?5213 ?5214) =>= multiply (inverse (multiply (inverse ?5213) ?5214)) ?5213 [5214, 5213] by Super 4169 with 1731 at 2,2
% 49.87/12.81  Id : 4243, {_}: multiply (add ?5213 ?5214) (inverse (multiply (inverse ?5213) ?5214)) =>= multiply (inverse (multiply (inverse ?5213) ?5214)) ?5213 [5214, 5213] by Demod 4175 with 3 at 2
% 49.87/12.81  Id : 4244, {_}: multiply (add ?5213 ?5214) (inverse (multiply (inverse ?5213) ?5214)) =>= multiply ?5213 (inverse (multiply (inverse ?5213) ?5214)) [5214, 5213] by Demod 4243 with 3 at 3
% 49.87/12.81  Id : 3817, {_}: multiply ?204 (add (inverse ?204) ?205) =>= multiply ?204 ?205 [205, 204] by Demod 79 with 54 at 3
% 49.87/12.81  Id :  70, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= multiply (add ?190 ?191) multiplicative_identity [191, 190] by Super 4 with 8 at 2,3
% 49.87/12.81  Id :  77, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= multiply multiplicative_identity (add ?190 ?191) [191, 190] by Demod 70 with 3 at 3
% 49.87/12.81  Id : 3720, {_}: add ?190 (multiply ?191 (inverse ?190)) =>= add ?190 ?191 [191, 190] by Demod 77 with 63 at 3
% 49.87/12.81  Id : 4771, {_}: add (inverse ?6044) (multiply ?6045 ?6044) =>= add (inverse ?6044) ?6045 [6045, 6044] by Super 3720 with 3948 at 2,2,2
% 49.87/12.81  Id : 2754, {_}: add (multiply ?3378 ?3379) (multiply additive_identity ?3378) =>= multiply (multiply ?3378 ?3379) ?3378 [3379, 3378] by Super 98 with 2093 at 2,3
% 49.87/12.81  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
% 49.87/12.81  Id : 2791, {_}: multiply ?3378 (add ?3379 additive_identity) =<= multiply (multiply ?3378 ?3379) ?3378 [3379, 3378] by Demod 2754 with 39 at 2
% 49.87/12.81  Id : 2792, {_}: multiply ?3378 (add ?3379 additive_identity) =<= multiply ?3378 (multiply ?3378 ?3379) [3379, 3378] by Demod 2791 with 3 at 3
% 49.87/12.81  Id : 2793, {_}: multiply ?3378 ?3379 =<= multiply ?3378 (multiply ?3378 ?3379) [3379, 3378] by Demod 2792 with 6 at 2,2
% 49.87/12.81  Id : 4787, {_}: add (inverse (multiply ?6095 ?6096)) (multiply ?6095 ?6096) =>= add (inverse (multiply ?6095 ?6096)) ?6095 [6096, 6095] by Super 4771 with 2793 at 2,2
% 49.87/12.81  Id : 4859, {_}: add (multiply ?6095 ?6096) (inverse (multiply ?6095 ?6096)) =>= add (inverse (multiply ?6095 ?6096)) ?6095 [6096, 6095] by Demod 4787 with 2 at 2
% 49.87/12.81  Id : 4860, {_}: add (multiply ?6095 ?6096) (inverse (multiply ?6095 ?6096)) =>= add ?6095 (inverse (multiply ?6095 ?6096)) [6096, 6095] by Demod 4859 with 2 at 3
% 49.87/12.81  Id : 4861, {_}: multiplicative_identity =<= add ?6095 (inverse (multiply ?6095 ?6096)) [6096, 6095] by Demod 4860 with 8 at 2
% 49.87/12.81  Id : 5576, {_}: multiply ?6953 multiplicative_identity =<= multiply ?6953 (inverse (multiply (inverse ?6953) ?6954)) [6954, 6953] by Super 3817 with 4861 at 2,2
% 49.87/12.81  Id : 5669, {_}: ?6953 =<= multiply ?6953 (inverse (multiply (inverse ?6953) ?6954)) [6954, 6953] by Demod 5576 with 7 at 2
% 49.87/12.81  Id : 126540, {_}: multiply (add ?5213 ?5214) (inverse (multiply (inverse ?5213) ?5214)) =>= ?5213 [5214, 5213] by Demod 4244 with 5669 at 3
% 49.87/12.81  Id : 126558, {_}: add (inverse ?220184) ?220185 =<= add (inverse ?220184) (inverse (multiply (inverse ?220185) ?220184)) [220185, 220184] by Super 5924 with 126540 at 2,2
% 49.87/12.81  Id : 3978, {_}: add (inverse ?4985) (multiply ?4986 ?4985) =>= add (inverse ?4985) ?4986 [4986, 4985] by Super 3720 with 3948 at 2,2,2
% 49.87/12.81  Id : 3853, {_}: multiply ?4904 (inverse ?4904) =<= multiply ?4904 (multiply ?4905 (inverse ?4904)) [4905, 4904] by Super 3839 with 2115 at 2,2
% 49.87/12.81  Id : 4554, {_}: additive_identity =<= multiply ?5778 (multiply ?5779 (inverse ?5778)) [5779, 5778] by Demod 3853 with 9 at 2
% 49.87/12.81  Id : 4557, {_}: additive_identity =<= multiply (inverse ?5785) (multiply ?5786 ?5785) [5786, 5785] by Super 4554 with 3948 at 2,2,3
% 49.87/12.81  Id : 5438, {_}: add (inverse (multiply ?6845 ?6846)) additive_identity =<= add (inverse (multiply ?6845 ?6846)) (inverse ?6846) [6846, 6845] by Super 3978 with 4557 at 2,2
% 49.87/12.81  Id : 5478, {_}: add additive_identity (inverse (multiply ?6845 ?6846)) =<= add (inverse (multiply ?6845 ?6846)) (inverse ?6846) [6846, 6845] by Demod 5438 with 2 at 2
% 49.87/12.81  Id : 5479, {_}: add additive_identity (inverse (multiply ?6845 ?6846)) =<= add (inverse ?6846) (inverse (multiply ?6845 ?6846)) [6846, 6845] by Demod 5478 with 2 at 3
% 49.87/12.81  Id : 5480, {_}: inverse (multiply ?6845 ?6846) =<= add (inverse ?6846) (inverse (multiply ?6845 ?6846)) [6846, 6845] by Demod 5479 with 54 at 2
% 49.87/12.81  Id : 127099, {_}: add (inverse ?220184) ?220185 =<= inverse (multiply (inverse ?220185) ?220184) [220185, 220184] by Demod 126558 with 5480 at 3
% 49.87/12.81  Id : 128478, {_}: inverse (add (inverse ?222815) ?222816) =>= multiply (inverse ?222816) ?222815 [222816, 222815] by Super 3948 with 127099 at 1,2
% 49.87/12.81  Id : 128481, {_}: inverse (add ?222822 ?222823) =<= multiply (inverse ?222823) (inverse ?222822) [222823, 222822] by Super 128478 with 3948 at 1,1,2
% 49.87/12.81  Id : 2090, {_}: multiply (inverse ?2724) (add ?2725 ?2724) =>= multiply (inverse ?2724) ?2725 [2725, 2724] by Demod 2089 with 54 at 3
% 49.87/12.81  Id : 5867, {_}: multiply (inverse (add ?7344 ?7345)) multiplicative_identity =<= multiply (inverse (add ?7344 ?7345)) (inverse ?7345) [7345, 7344] by Super 2090 with 5011 at 2,2
% 49.87/12.81  Id : 5909, {_}: multiply multiplicative_identity (inverse (add ?7344 ?7345)) =<= multiply (inverse (add ?7344 ?7345)) (inverse ?7345) [7345, 7344] by Demod 5867 with 3 at 2
% 49.87/12.81  Id : 5910, {_}: multiply multiplicative_identity (inverse (add ?7344 ?7345)) =<= multiply (inverse ?7345) (inverse (add ?7344 ?7345)) [7345, 7344] by Demod 5909 with 3 at 3
% 49.87/12.81  Id : 8899, {_}: inverse (add ?10891 ?10892) =<= multiply (inverse ?10892) (inverse (add ?10891 ?10892)) [10892, 10891] by Demod 5910 with 63 at 2
% 49.87/12.81  Id : 8900, {_}: inverse (add ?10894 ?10895) =<= multiply (inverse ?10895) (inverse (add ?10895 ?10894)) [10895, 10894] by Super 8899 with 2 at 1,2,3
% 49.87/12.81  Id :  53, {_}: add ?157 (multiply additive_identity ?158) =<= multiply ?157 (add ?157 ?158) [158, 157] by Super 4 with 6 at 1,3
% 49.87/12.81  Id : 2834, {_}: add ?157 additive_identity =<= multiply ?157 (add ?157 ?158) [158, 157] by Demod 53 with 2751 at 2,2
% 49.87/12.81  Id : 2844, {_}: ?157 =<= multiply ?157 (add ?157 ?158) [158, 157] by Demod 2834 with 6 at 2
% 49.87/12.81  Id : 4930, {_}: add (inverse ?6275) ?6275 =<= add (inverse ?6275) (add ?6275 ?6276) [6276, 6275] by Super 4911 with 2844 at 2,2
% 49.87/12.81  Id : 5012, {_}: add ?6275 (inverse ?6275) =<= add (inverse ?6275) (add ?6275 ?6276) [6276, 6275] by Demod 4930 with 2 at 2
% 49.87/12.81  Id : 5013, {_}: multiplicative_identity =<= add (inverse ?6275) (add ?6275 ?6276) [6276, 6275] by Demod 5012 with 8 at 2
% 49.87/12.81  Id : 5981, {_}: multiply (inverse (add ?7445 ?7446)) multiplicative_identity =<= multiply (inverse (add ?7445 ?7446)) (inverse ?7445) [7446, 7445] by Super 2090 with 5013 at 2,2
% 49.87/12.81  Id : 6069, {_}: multiply multiplicative_identity (inverse (add ?7445 ?7446)) =<= multiply (inverse (add ?7445 ?7446)) (inverse ?7445) [7446, 7445] by Demod 5981 with 3 at 2
% 49.87/12.81  Id : 6070, {_}: multiply multiplicative_identity (inverse (add ?7445 ?7446)) =<= multiply (inverse ?7445) (inverse (add ?7445 ?7446)) [7446, 7445] by Demod 6069 with 3 at 3
% 49.87/12.81  Id : 6071, {_}: inverse (add ?7445 ?7446) =<= multiply (inverse ?7445) (inverse (add ?7445 ?7446)) [7446, 7445] by Demod 6070 with 63 at 2
% 49.87/12.81  Id : 10729, {_}: inverse (add ?10894 ?10895) =?= inverse (add ?10895 ?10894) [10895, 10894] by Demod 8900 with 6071 at 3
% 49.87/12.81  Id : 131028, {_}: inverse (add a b) =?= inverse (add a b) [] by Demod 131027 with 10729 at 3
% 49.87/12.81  Id : 131027, {_}: inverse (add a b) =<= inverse (add b a) [] by Demod 1 with 128481 at 3
% 49.87/12.81  Id :   1, {_}: inverse (add a b) =<= multiply (inverse a) (inverse b) [] by prove_c_inverse_is_d
% 49.87/12.81  % SZS output end CNFRefutation for theBenchmark.p
% 49.87/12.81  2379: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 12.463977 using kbo
%------------------------------------------------------------------------------