TSTP Solution File: BOO025-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n027.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 23:44:15 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  1 16:49:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  3567: Facts:
% 0.12/0.33  3567:  Id :   2, {_}: multiply (add ?2 ?3) ?3 =>= ?3 [3, 2] by multiply_add ?2 ?3
% 0.12/0.33  3567:  Id :   3, {_}:
% 0.12/0.33            multiply ?5 (add ?6 ?7) =<= add (multiply ?6 ?5) (multiply ?7 ?5)
% 0.12/0.33            [7, 6, 5] by multiply_add_property ?5 ?6 ?7
% 0.12/0.33  3567:  Id :   4, {_}: add ?9 (inverse ?9) =>= n1 [9] by additive_inverse ?9
% 0.12/0.33  3567:  Id :   5, {_}:
% 0.12/0.33            pixley ?11 ?12 ?13
% 0.12/0.33            =<=
% 0.12/0.33            add (multiply ?11 (inverse ?12))
% 0.12/0.33              (add (multiply ?11 ?13) (multiply (inverse ?12) ?13))
% 0.12/0.33            [13, 12, 11] by pixley_defn ?11 ?12 ?13
% 0.12/0.33  3567:  Id :   6, {_}: pixley ?15 ?15 ?16 =>= ?16 [16, 15] by pixley1 ?15 ?16
% 0.12/0.33  3567:  Id :   7, {_}: pixley ?18 ?19 ?19 =>= ?18 [19, 18] by pixley2 ?18 ?19
% 0.12/0.33  3567:  Id :   8, {_}: pixley ?21 ?22 ?21 =>= ?21 [22, 21] by pixley3 ?21 ?22
% 0.12/0.33  3567: Goal:
% 0.12/0.33  3567:  Id :   1, {_}:
% 0.12/0.33            multiply b (inverse b) =<= multiply a (inverse a)
% 0.12/0.33            [] by prove_equal_identity
% 0.18/0.51  Statistics :
% 0.18/0.51  Max weight : 19
% 0.18/0.51  Found proof, 0.179731s
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.51  % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.51  Id :   7, {_}: pixley ?18 ?19 ?19 =>= ?18 [19, 18] by pixley2 ?18 ?19
% 0.18/0.51  Id :   4, {_}: add ?9 (inverse ?9) =>= n1 [9] by additive_inverse ?9
% 0.18/0.51  Id :   2, {_}: multiply (add ?2 ?3) ?3 =>= ?3 [3, 2] by multiply_add ?2 ?3
% 0.18/0.51  Id :  12, {_}: multiply ?33 (add ?34 ?35) =<= add (multiply ?34 ?33) (multiply ?35 ?33) [35, 34, 33] by multiply_add_property ?33 ?34 ?35
% 0.18/0.51  Id :   3, {_}: multiply ?5 (add ?6 ?7) =<= add (multiply ?6 ?5) (multiply ?7 ?5) [7, 6, 5] by multiply_add_property ?5 ?6 ?7
% 0.18/0.51  Id :   5, {_}: pixley ?11 ?12 ?13 =<= add (multiply ?11 (inverse ?12)) (add (multiply ?11 ?13) (multiply (inverse ?12) ?13)) [13, 12, 11] by pixley_defn ?11 ?12 ?13
% 0.18/0.51  Id :   6, {_}: pixley ?15 ?15 ?16 =>= ?16 [16, 15] by pixley1 ?15 ?16
% 0.18/0.51  Id :  19, {_}: pixley ?11 ?12 ?13 =<= add (multiply ?11 (inverse ?12)) (multiply ?13 (add ?11 (inverse ?12))) [13, 12, 11] by Demod 5 with 3 at 2,3
% 0.18/0.51  Id :  13, {_}: multiply ?37 (add ?38 (add ?39 ?37)) =>= add (multiply ?38 ?37) ?37 [39, 38, 37] by Super 12 with 2 at 2,3
% 0.18/0.51  Id :  21, {_}: pixley ?58 ?59 ?60 =<= add (multiply ?58 (inverse ?59)) (multiply ?60 (add ?58 (inverse ?59))) [60, 59, 58] by Demod 5 with 3 at 2,3
% 0.18/0.51  Id :  22, {_}: pixley ?62 ?62 ?63 =<= add (multiply ?62 (inverse ?62)) (multiply ?63 n1) [63, 62] by Super 21 with 4 at 2,2,3
% 0.18/0.51  Id :  84, {_}: ?63 =<= add (multiply ?62 (inverse ?62)) (multiply ?63 n1) [62, 63] by Demod 22 with 6 at 2
% 0.18/0.51  Id :  87, {_}: multiply (multiply ?245 n1) (add ?246 ?245) =<= add (multiply ?246 (multiply ?245 n1)) (multiply ?245 n1) [246, 245] by Super 13 with 84 at 2,2,2
% 0.18/0.51  Id :  69, {_}: multiply ?205 (add (add ?206 ?205) ?207) =>= add ?205 (multiply ?207 ?205) [207, 206, 205] by Super 12 with 2 at 1,3
% 0.18/0.51  Id :  75, {_}: multiply ?230 n1 =<= add ?230 (multiply (inverse (add ?231 ?230)) ?230) [231, 230] by Super 69 with 4 at 2,2
% 0.18/0.51  Id :  88, {_}: ?248 =<= add (multiply ?249 (inverse ?249)) (multiply ?248 n1) [249, 248] by Demod 22 with 6 at 2
% 0.18/0.51  Id :  16, {_}: multiply n1 (inverse ?49) =>= inverse ?49 [49] by Super 2 with 4 at 1,2
% 0.18/0.51  Id : 100, {_}: ?278 =<= add (inverse n1) (multiply ?278 n1) [278] by Super 88 with 16 at 1,3
% 0.18/0.51  Id : 111, {_}: add ?299 n1 =?= add (inverse n1) n1 [299] by Super 100 with 2 at 2,3
% 0.18/0.51  Id : 101, {_}: add ?280 n1 =?= add (inverse n1) n1 [280] by Super 100 with 2 at 2,3
% 0.18/0.51  Id : 112, {_}: add ?301 n1 =?= add ?302 n1 [302, 301] by Super 111 with 101 at 3
% 0.18/0.51  Id :  90, {_}: ?254 =<= add (inverse n1) (multiply ?254 n1) [254] by Super 88 with 16 at 1,3
% 0.18/0.51  Id :  14, {_}: multiply ?41 (add (add ?42 ?41) ?43) =>= add ?41 (multiply ?43 ?41) [43, 42, 41] by Super 12 with 2 at 1,3
% 0.18/0.51  Id : 217, {_}: multiply (multiply ?497 n1) (add ?497 ?498) =<= add (multiply ?497 n1) (multiply ?498 (multiply ?497 n1)) [498, 497] by Super 14 with 84 at 1,2,2
% 0.18/0.51  Id :  86, {_}: multiply ?243 (multiply ?243 n1) =>= multiply ?243 n1 [243] by Super 2 with 84 at 1,2
% 0.18/0.51  Id : 220, {_}: multiply (multiply ?506 n1) (add ?506 ?506) =>= add (multiply ?506 n1) (multiply ?506 n1) [506] by Super 217 with 86 at 2,3
% 0.18/0.51  Id : 232, {_}: multiply (multiply ?506 n1) (add ?506 ?506) =>= multiply n1 (add ?506 ?506) [506] by Demod 220 with 3 at 3
% 0.18/0.51  Id : 236, {_}: multiply (add ?517 ?517) (add ?518 (multiply ?517 n1)) =<= add (multiply ?518 (add ?517 ?517)) (multiply n1 (add ?517 ?517)) [518, 517] by Super 3 with 232 at 2,3
% 0.18/0.51  Id : 247, {_}: multiply (add ?517 ?517) (add ?518 (multiply ?517 n1)) =>= multiply (add ?517 ?517) (add ?518 n1) [518, 517] by Demod 236 with 3 at 3
% 0.18/0.51  Id : 337, {_}: multiply (add ?658 ?658) (add ?659 (multiply ?658 n1)) =>= multiply (add ?658 ?658) (add ?659 n1) [659, 658] by Demod 236 with 3 at 3
% 0.18/0.51  Id : 343, {_}: multiply (add ?675 ?675) ?675 =?= multiply (add ?675 ?675) (add (inverse n1) n1) [675] by Super 337 with 90 at 2,2
% 0.18/0.51  Id : 362, {_}: ?703 =<= multiply (add ?703 ?703) (add (inverse n1) n1) [703] by Demod 343 with 2 at 2
% 0.18/0.51  Id : 363, {_}: ?705 =<= multiply (add ?705 ?705) (add ?706 n1) [706, 705] by Super 362 with 112 at 2,3
% 0.18/0.51  Id : 403, {_}: multiply (add ?517 ?517) (add ?518 (multiply ?517 n1)) =>= ?517 [518, 517] by Demod 247 with 363 at 3
% 0.18/0.51  Id : 344, {_}: multiply (add ?677 n1) (add ?678 (multiply n1 n1)) =>= multiply (add n1 n1) (add ?678 n1) [678, 677] by Super 337 with 112 at 1,2
% 0.18/0.51  Id : 425, {_}: multiply (add ?677 n1) (add ?678 (multiply n1 n1)) =>= n1 [678, 677] by Demod 344 with 363 at 3
% 0.18/0.51  Id : 429, {_}: n1 =<= add (add ?825 n1) (multiply (multiply n1 n1) (add ?825 n1)) [825] by Super 14 with 425 at 2
% 0.18/0.51  Id : 239, {_}: multiply (multiply ?525 n1) (add ?525 ?525) =>= multiply n1 (add ?525 ?525) [525] by Demod 220 with 3 at 3
% 0.18/0.51  Id : 240, {_}: multiply (multiply n1 n1) (add ?527 n1) =>= multiply n1 (add n1 n1) [527] by Super 239 with 112 at 2,2
% 0.18/0.51  Id : 440, {_}: n1 =<= add (add ?825 n1) (multiply n1 (add n1 n1)) [825] by Demod 429 with 240 at 2,3
% 0.18/0.51  Id : 448, {_}: multiply n1 n1 =<= add n1 (multiply (multiply n1 (add n1 n1)) n1) [] by Super 14 with 440 at 2,2
% 0.18/0.51  Id : 485, {_}: multiply (add (multiply n1 (add n1 n1)) (multiply n1 (add n1 n1))) (multiply n1 n1) =>= multiply n1 (add n1 n1) [] by Super 403 with 448 at 2,2
% 0.18/0.51  Id : 490, {_}: multiply (multiply (add n1 n1) (add n1 n1)) (multiply n1 n1) =>= multiply n1 (add n1 n1) [] by Demod 485 with 3 at 1,2
% 0.18/0.51  Id : 491, {_}: multiply n1 (multiply n1 n1) =>= multiply n1 (add n1 n1) [] by Demod 490 with 363 at 1,2
% 0.18/0.51  Id : 504, {_}: multiply n1 n1 =<= multiply n1 (add n1 n1) [] by Demod 491 with 86 at 2
% 0.18/0.51  Id : 505, {_}: multiply n1 n1 =<= multiply n1 (add ?919 n1) [919] by Super 504 with 112 at 2,3
% 0.18/0.51  Id : 515, {_}: multiply n1 n1 =<= add n1 (multiply n1 n1) [] by Super 14 with 505 at 2
% 0.18/0.51  Id : 528, {_}: multiply (multiply n1 n1) (add ?942 (multiply n1 n1)) =>= add (multiply ?942 (multiply n1 n1)) (multiply n1 n1) [942] by Super 13 with 515 at 2,2,2
% 0.18/0.51  Id : 535, {_}: multiply (multiply n1 n1) (add ?942 (multiply n1 n1)) =>= multiply (multiply n1 n1) (add ?942 n1) [942] by Demod 528 with 87 at 3
% 0.18/0.52  Id : 492, {_}: multiply n1 n1 =<= multiply n1 (add n1 n1) [] by Demod 491 with 86 at 2
% 0.18/0.52  Id : 499, {_}: multiply (multiply n1 n1) (add ?527 n1) =>= multiply n1 n1 [527] by Demod 240 with 492 at 3
% 0.18/0.52  Id : 601, {_}: multiply (multiply n1 n1) (add ?1002 (multiply n1 n1)) =>= multiply n1 n1 [1002] by Demod 535 with 499 at 3
% 0.18/0.52  Id : 603, {_}: multiply (multiply n1 n1) n1 =>= multiply n1 n1 [] by Super 601 with 84 at 2,2
% 0.18/0.52  Id : 628, {_}: multiply n1 n1 =<= add (inverse n1) (multiply n1 n1) [] by Super 90 with 603 at 2,3
% 0.18/0.52  Id : 651, {_}: multiply n1 n1 =>= n1 [] by Demod 628 with 90 at 3
% 0.18/0.52  Id : 699, {_}: n1 =<= add (inverse n1) n1 [] by Super 90 with 651 at 2,3
% 0.18/0.52  Id : 729, {_}: add ?1069 n1 =>= n1 [1069] by Super 112 with 699 at 3
% 0.18/0.52  Id : 760, {_}: multiply n1 n1 =<= add n1 (multiply (inverse n1) n1) [] by Super 75 with 729 at 1,1,2,3
% 0.18/0.52  Id : 771, {_}: n1 =<= add n1 (multiply (inverse n1) n1) [] by Demod 760 with 651 at 2
% 0.18/0.52  Id : 811, {_}: multiply (multiply (inverse n1) n1) n1 =<= add (multiply (inverse n1) n1) (multiply (inverse n1) (multiply (inverse n1) n1)) [] by Super 75 with 771 at 1,1,2,3
% 0.18/0.52  Id :  85, {_}: multiply (multiply ?240 n1) (add ?240 ?241) =<= add (multiply ?240 n1) (multiply ?241 (multiply ?240 n1)) [241, 240] by Super 14 with 84 at 1,2,2
% 0.18/0.52  Id : 822, {_}: multiply (multiply (inverse n1) n1) n1 =<= multiply (multiply (inverse n1) n1) (add (inverse n1) (inverse n1)) [] by Demod 811 with 85 at 3
% 0.18/0.52  Id : 823, {_}: multiply (multiply (inverse n1) n1) n1 =<= multiply n1 (add (inverse n1) (inverse n1)) [] by Demod 822 with 232 at 3
% 0.18/0.52  Id :  45, {_}: multiply (inverse ?124) (add ?125 n1) =<= add (multiply ?125 (inverse ?124)) (inverse ?124) [125, 124] by Super 3 with 16 at 2,3
% 0.18/0.52  Id :  46, {_}: multiply (inverse ?127) (add (add ?128 (inverse ?127)) n1) =>= add (inverse ?127) (inverse ?127) [128, 127] by Super 45 with 2 at 1,3
% 0.18/0.52  Id : 168, {_}: add (inverse ?127) (multiply n1 (inverse ?127)) =>= add (inverse ?127) (inverse ?127) [127] by Demod 46 with 14 at 2
% 0.18/0.52  Id :  40, {_}: multiply (inverse ?110) (add n1 ?111) =<= add (inverse ?110) (multiply ?111 (inverse ?110)) [111, 110] by Super 3 with 16 at 1,3
% 0.18/0.52  Id : 169, {_}: multiply (inverse ?127) (add n1 n1) =?= add (inverse ?127) (inverse ?127) [127] by Demod 168 with 40 at 2
% 0.18/0.52  Id : 684, {_}: n1 =<= add n1 (multiply n1 n1) [] by Demod 515 with 651 at 2
% 0.18/0.52  Id : 685, {_}: n1 =<= add n1 n1 [] by Demod 684 with 651 at 2,3
% 0.18/0.52  Id : 686, {_}: multiply (inverse ?127) n1 =<= add (inverse ?127) (inverse ?127) [127] by Demod 169 with 685 at 2,2
% 0.18/0.52  Id : 824, {_}: multiply (multiply (inverse n1) n1) n1 =>= multiply n1 (multiply (inverse n1) n1) [] by Demod 823 with 686 at 2,3
% 0.18/0.52  Id : 813, {_}: multiply n1 (multiply (inverse n1) n1) =>= multiply (inverse n1) n1 [] by Super 2 with 771 at 1,2
% 0.18/0.52  Id : 844, {_}: multiply (multiply (inverse n1) n1) n1 =>= multiply (inverse n1) n1 [] by Demod 824 with 813 at 3
% 0.18/0.52  Id : 850, {_}: multiply (inverse n1) n1 =<= add (multiply ?1146 (inverse ?1146)) (multiply (inverse n1) n1) [1146] by Super 84 with 844 at 2,3
% 0.18/0.52  Id : 875, {_}: multiply (inverse n1) n1 =>= inverse n1 [] by Demod 850 with 84 at 3
% 0.18/0.52  Id : 908, {_}: multiply (multiply (inverse n1) n1) (add ?1175 (inverse n1)) =>= add (multiply ?1175 (multiply (inverse n1) n1)) (inverse n1) [1175] by Super 87 with 875 at 2,3
% 0.18/0.52  Id : 921, {_}: multiply (inverse n1) (add ?1175 (inverse n1)) =<= add (multiply ?1175 (multiply (inverse n1) n1)) (inverse n1) [1175] by Demod 908 with 875 at 1,2
% 0.18/0.52  Id : 922, {_}: multiply (inverse n1) (add ?1175 (inverse n1)) =>= add (multiply ?1175 (inverse n1)) (inverse n1) [1175] by Demod 921 with 875 at 2,1,3
% 0.18/0.52  Id :  39, {_}: multiply (inverse ?107) (add ?108 n1) =<= add (multiply ?108 (inverse ?107)) (inverse ?107) [108, 107] by Super 3 with 16 at 2,3
% 0.18/0.52  Id : 750, {_}: multiply (inverse ?107) n1 =<= add (multiply ?108 (inverse ?107)) (inverse ?107) [108, 107] by Demod 39 with 729 at 2,2
% 0.18/0.52  Id : 923, {_}: multiply (inverse n1) (add ?1175 (inverse n1)) =>= multiply (inverse n1) n1 [1175] by Demod 922 with 750 at 3
% 0.18/0.52  Id : 1543, {_}: multiply (inverse n1) (add ?1539 (inverse n1)) =>= inverse n1 [1539] by Demod 923 with 875 at 3
% 0.18/0.52  Id : 903, {_}: multiply n1 (add (inverse n1) ?1166) =>= add (inverse n1) (multiply ?1166 n1) [1166] by Super 3 with 875 at 1,3
% 0.18/0.52  Id : 1075, {_}: multiply n1 (add (inverse n1) ?1270) =>= ?1270 [1270] by Demod 903 with 90 at 3
% 0.18/0.52  Id : 1076, {_}: multiply n1 n1 =>= inverse (inverse n1) [] by Super 1075 with 4 at 2,2
% 0.18/0.52  Id : 1094, {_}: n1 =<= inverse (inverse n1) [] by Demod 1076 with 651 at 2
% 0.18/0.52  Id : 1120, {_}: pixley ?1306 (inverse n1) ?1307 =<= add (multiply ?1306 (inverse (inverse n1))) (multiply ?1307 (add ?1306 n1)) [1307, 1306] by Super 19 with 1094 at 2,2,2,3
% 0.18/0.52  Id : 1171, {_}: pixley ?1306 (inverse n1) ?1307 =<= add (multiply ?1306 n1) (multiply ?1307 (add ?1306 n1)) [1307, 1306] by Demod 1120 with 1094 at 2,1,3
% 0.18/0.52  Id : 1172, {_}: pixley ?1306 (inverse n1) ?1307 =<= add (multiply ?1306 n1) (multiply ?1307 n1) [1307, 1306] by Demod 1171 with 729 at 2,2,3
% 0.18/0.52  Id : 1173, {_}: pixley ?1306 (inverse n1) ?1307 =>= multiply n1 (add ?1306 ?1307) [1307, 1306] by Demod 1172 with 3 at 3
% 0.18/0.52  Id : 1302, {_}: multiply n1 (add ?1374 (inverse n1)) =>= ?1374 [1374] by Super 7 with 1173 at 2
% 0.18/0.52  Id : 902, {_}: multiply n1 (add ?1164 (inverse n1)) =>= add (multiply ?1164 n1) (inverse n1) [1164] by Super 3 with 875 at 2,3
% 0.18/0.52  Id : 1338, {_}: add (multiply ?1374 n1) (inverse n1) =>= ?1374 [1374] by Demod 1302 with 902 at 2
% 0.18/0.52  Id : 1545, {_}: multiply (inverse n1) ?1542 =>= inverse n1 [1542] by Super 1543 with 1338 at 2,2
% 0.18/0.52  Id : 1581, {_}: pixley ?1569 ?1570 (inverse n1) =<= add (multiply ?1569 (inverse ?1570)) (inverse n1) [1570, 1569] by Super 19 with 1545 at 2,3
% 0.18/0.52  Id : 1409, {_}: multiply n1 (add ?1164 (inverse n1)) =>= ?1164 [1164] by Demod 902 with 1338 at 3
% 0.18/0.52  Id : 1410, {_}: multiply n1 ?1434 =?= multiply ?1434 n1 [1434] by Super 1409 with 1338 at 2,2
% 0.18/0.52  Id : 1901, {_}: add (multiply n1 ?1814) (inverse n1) =>= ?1814 [1814] by Super 1338 with 1410 at 1,2
% 0.18/0.52  Id : 2168, {_}: multiply ?2035 (add ?2036 (inverse n1)) =>= add (multiply ?2036 ?2035) (inverse n1) [2036, 2035] by Super 3 with 1545 at 2,3
% 0.18/0.52  Id : 2169, {_}: multiply ?2038 n1 =<= add (multiply n1 ?2038) (inverse n1) [2038] by Super 2168 with 4 at 2,2
% 0.18/0.52  Id : 2219, {_}: multiply ?2038 n1 =>= ?2038 [2038] by Demod 2169 with 1901 at 3
% 0.18/0.52  Id : 2264, {_}: multiply n1 ?1434 =>= ?1434 [1434] by Demod 1410 with 2219 at 3
% 0.18/0.52  Id : 2272, {_}: add ?1814 (inverse n1) =>= ?1814 [1814] by Demod 1901 with 2264 at 1,2
% 0.18/0.52  Id : 2343, {_}: pixley ?1569 ?1570 (inverse n1) =>= multiply ?1569 (inverse ?1570) [1570, 1569] by Demod 1581 with 2272 at 3
% 0.18/0.52  Id : 2347, {_}: multiply ?2109 (inverse ?2109) =>= inverse n1 [2109] by Super 6 with 2343 at 2
% 0.18/0.52  Id : 2402, {_}: inverse n1 === inverse n1 [] by Demod 2401 with 2347 at 3
% 0.18/0.52  Id : 2401, {_}: inverse n1 =<= multiply a (inverse a) [] by Demod 1 with 2347 at 2
% 0.18/0.52  Id :   1, {_}: multiply b (inverse b) =<= multiply a (inverse a) [] by prove_equal_identity
% 0.18/0.52  % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.52  3570: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.183633 using nrkbo
%------------------------------------------------------------------------------