TSTP Solution File: GRP707-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n012.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 10:31:43 EDT 2022
% Result : Unsatisfiable 6.05s 1.81s
% Output : CNFRefutation 6.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n012.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 : Tue Jun 14 07:46:25 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 30449: Facts:
% 0.12/0.34 30449: Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 0.12/0.34 30449: Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 0.12/0.34 30449: Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 0.12/0.34 30449: Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 0.12/0.34 30449: Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 0.12/0.34 30449: Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 0.12/0.34 30449: Id : 8, {_}:
% 0.12/0.34 mult ?18 (mult ?19 (mult ?19 ?20))
% 0.12/0.34 =?=
% 0.12/0.34 mult (mult (mult ?18 ?19) ?19) ?20
% 0.12/0.34 [20, 19, 18] by c07 ?18 ?19 ?20
% 0.12/0.34 30449: Id : 9, {_}: mult ?22 (mult ?22 (mult ?22 ?22)) =>= unit [22] by c08 ?22
% 0.12/0.34 30449: Id : 10, {_}:
% 0.12/0.34 mult (mult ?24 ?24) ?25 =?= mult ?25 (mult ?24 ?24)
% 0.12/0.34 [25, 24] by c09 ?24 ?25
% 0.12/0.34 30449: Goal:
% 0.12/0.34 30449: Id : 1, {_}: mult (mult a b) a =>= mult a (mult b a) [] by goals
% 6.05/1.81 Statistics :
% 6.05/1.81 Max weight : 17
% 6.05/1.81 Found proof, 1.470479s
% 6.05/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 6.05/1.81 % SZS output start CNFRefutation for theBenchmark.p
% 6.05/1.81 Id : 21, {_}: rd (mult ?54 ?55) ?55 =>= ?54 [55, 54] by c04 ?54 ?55
% 6.05/1.81 Id : 4, {_}: mult (rd ?8 ?9) ?9 =>= ?8 [9, 8] by c03 ?8 ?9
% 6.05/1.81 Id : 7, {_}: mult unit ?16 =>= ?16 [16] by c06 ?16
% 6.05/1.81 Id : 43, {_}: mult ?106 (mult ?107 (mult ?107 ?108)) =<= mult (mult (mult ?106 ?107) ?107) ?108 [108, 107, 106] by c07 ?106 ?107 ?108
% 6.05/1.81 Id : 10, {_}: mult (mult ?24 ?24) ?25 =?= mult ?25 (mult ?24 ?24) [25, 24] by c09 ?24 ?25
% 6.05/1.81 Id : 2, {_}: mult ?2 (ld ?2 ?3) =>= ?3 [3, 2] by c01 ?2 ?3
% 6.05/1.81 Id : 9, {_}: mult ?22 (mult ?22 (mult ?22 ?22)) =>= unit [22] by c08 ?22
% 6.05/1.81 Id : 3, {_}: ld ?5 (mult ?5 ?6) =>= ?6 [6, 5] by c02 ?5 ?6
% 6.05/1.81 Id : 8, {_}: mult ?18 (mult ?19 (mult ?19 ?20)) =<= mult (mult (mult ?18 ?19) ?19) ?20 [20, 19, 18] by c07 ?18 ?19 ?20
% 6.05/1.81 Id : 6, {_}: mult ?14 unit =>= ?14 [14] by c05 ?14
% 6.05/1.81 Id : 5, {_}: rd (mult ?11 ?12) ?12 =>= ?11 [12, 11] by c04 ?11 ?12
% 6.05/1.81 Id : 39, {_}: mult ?91 (mult ?92 (mult ?92 unit)) =>= mult (mult ?91 ?92) ?92 [92, 91] by Super 6 with 8 at 2
% 6.05/1.81 Id : 54, {_}: mult ?91 (mult ?92 ?92) =<= mult (mult ?91 ?92) ?92 [92, 91] by Demod 39 with 6 at 2,2,2
% 6.05/1.81 Id : 218, {_}: rd (mult ?352 (mult ?353 ?353)) ?353 =>= mult ?352 ?353 [353, 352] by Super 5 with 54 at 1,2
% 6.05/1.81 Id : 42, {_}: rd (mult ?102 (mult ?103 (mult ?103 ?104))) ?104 =>= mult (mult ?102 ?103) ?103 [104, 103, 102] by Super 5 with 8 at 1,2
% 6.05/1.81 Id : 1122, {_}: rd (mult ?1208 (mult ?1209 (mult ?1209 ?1210))) ?1210 =>= mult ?1208 (mult ?1209 ?1209) [1210, 1209, 1208] by Demod 42 with 54 at 3
% 6.05/1.81 Id : 66, {_}: ld ?150 unit =<= mult ?150 (mult ?150 ?150) [150] by Super 3 with 9 at 2,2
% 6.05/1.81 Id : 1131, {_}: rd (mult ?1243 (mult ?1244 (ld ?1244 unit))) (mult ?1244 ?1244) =>= mult ?1243 (mult ?1244 ?1244) [1244, 1243] by Super 1122 with 66 at 2,2,1,2
% 6.05/1.81 Id : 1162, {_}: rd (mult ?1243 unit) (mult ?1244 ?1244) =>= mult ?1243 (mult ?1244 ?1244) [1244, 1243] by Demod 1131 with 2 at 2,1,2
% 6.05/1.81 Id : 1163, {_}: rd ?1243 (mult ?1244 ?1244) =<= mult ?1243 (mult ?1244 ?1244) [1244, 1243] by Demod 1162 with 6 at 1,2
% 6.05/1.81 Id : 5241, {_}: rd (rd ?352 (mult ?353 ?353)) ?353 =>= mult ?352 ?353 [353, 352] by Demod 218 with 1163 at 1,2
% 6.05/1.81 Id : 215, {_}: mult ?18 (mult ?19 (mult ?19 ?20)) =<= mult (mult ?18 (mult ?19 ?19)) ?20 [20, 19, 18] by Demod 8 with 54 at 1,3
% 6.05/1.81 Id : 437, {_}: mult ?608 (mult ?608 (mult ?608 ?609)) =>= mult (ld ?608 unit) ?609 [609, 608] by Super 215 with 66 at 1,3
% 6.05/1.81 Id : 47, {_}: mult unit (mult ?121 (mult ?121 ?122)) =>= mult (mult ?121 ?121) ?122 [122, 121] by Super 43 with 7 at 1,1,3
% 6.05/1.81 Id : 58, {_}: mult ?121 (mult ?121 ?122) =<= mult (mult ?121 ?121) ?122 [122, 121] by Demod 47 with 7 at 2
% 6.05/1.81 Id : 317, {_}: mult ?24 (mult ?24 ?25) =?= mult ?25 (mult ?24 ?24) [25, 24] by Demod 10 with 58 at 2
% 6.05/1.81 Id : 1192, {_}: mult ?24 (mult ?24 ?25) =>= rd ?25 (mult ?24 ?24) [25, 24] by Demod 317 with 1163 at 3
% 6.05/1.81 Id : 5731, {_}: rd (mult ?608 ?609) (mult ?608 ?608) =>= mult (ld ?608 unit) ?609 [609, 608] by Demod 437 with 1192 at 2
% 6.05/1.81 Id : 1139, {_}: rd (mult ?1273 (ld ?1274 unit)) ?1274 =>= mult ?1273 (mult ?1274 ?1274) [1274, 1273] by Super 1122 with 66 at 2,1,2
% 6.05/1.81 Id : 1390, {_}: rd (mult ?1493 (ld ?1494 unit)) ?1494 =>= rd ?1493 (mult ?1494 ?1494) [1494, 1493] by Demod 1139 with 1163 at 3
% 6.05/1.81 Id : 1402, {_}: rd unit ?1525 =<= rd ?1525 (mult ?1525 ?1525) [1525] by Super 1390 with 2 at 1,2
% 6.05/1.81 Id : 1188, {_}: ld ?150 unit =<= rd ?150 (mult ?150 ?150) [150] by Demod 66 with 1163 at 3
% 6.05/1.81 Id : 1476, {_}: rd unit ?1525 =<= ld ?1525 unit [1525] by Demod 1402 with 1188 at 3
% 6.05/1.81 Id : 5732, {_}: rd (mult ?608 ?609) (mult ?608 ?608) =>= mult (rd unit ?608) ?609 [609, 608] by Demod 5731 with 1476 at 1,3
% 6.05/1.81 Id : 5752, {_}: rd (mult (rd unit ?4752) ?4753) ?4752 =>= mult (mult ?4752 ?4753) ?4752 [4753, 4752] by Super 5241 with 5732 at 1,2
% 6.05/1.81 Id : 5755, {_}: rd (mult ?4760 ?4761) (mult ?4760 ?4760) =>= mult (rd unit ?4760) ?4761 [4761, 4760] by Demod 5731 with 1476 at 1,3
% 6.05/1.81 Id : 5766, {_}: rd (rd ?4791 (mult ?4792 ?4792)) (mult ?4792 ?4792) =>= mult (rd unit ?4792) (mult ?4792 ?4791) [4792, 4791] by Super 5755 with 1192 at 1,2
% 6.05/1.81 Id : 1381, {_}: rd (mult ?1273 (ld ?1274 unit)) ?1274 =>= rd ?1273 (mult ?1274 ?1274) [1274, 1273] by Demod 1139 with 1163 at 3
% 6.05/1.81 Id : 1482, {_}: rd (mult ?1273 (rd unit ?1274)) ?1274 =>= rd ?1273 (mult ?1274 ?1274) [1274, 1273] by Demod 1381 with 1476 at 2,1,2
% 6.05/1.81 Id : 45, {_}: mult (rd ?114 ?115) (mult ?115 (mult ?115 ?116)) =>= mult (mult ?114 ?115) ?116 [116, 115, 114] by Super 43 with 4 at 1,1,3
% 6.05/1.81 Id : 3591, {_}: mult (rd ?2772 ?2773) (rd ?2774 (mult ?2773 ?2773)) =>= mult (mult ?2772 ?2773) ?2774 [2774, 2773, 2772] by Demod 45 with 1192 at 2,2
% 6.05/1.81 Id : 435, {_}: rd (ld ?605 unit) (mult ?605 ?605) =>= ?605 [605] by Super 5 with 66 at 1,2
% 6.05/1.81 Id : 1483, {_}: rd (rd unit ?605) (mult ?605 ?605) =>= ?605 [605] by Demod 435 with 1476 at 1,2
% 6.05/1.81 Id : 3604, {_}: mult (rd ?2821 ?2822) ?2822 =<= mult (mult ?2821 ?2822) (rd unit ?2822) [2822, 2821] by Super 3591 with 1483 at 2,2
% 6.05/1.81 Id : 3739, {_}: ?2922 =<= mult (mult ?2922 ?2923) (rd unit ?2923) [2923, 2922] by Demod 3604 with 4 at 2
% 6.05/1.81 Id : 3752, {_}: rd ?2957 ?2958 =<= mult ?2957 (rd unit ?2958) [2958, 2957] by Super 3739 with 4 at 1,3
% 6.05/1.81 Id : 3941, {_}: rd (rd ?1273 ?1274) ?1274 =>= rd ?1273 (mult ?1274 ?1274) [1274, 1273] by Demod 1482 with 3752 at 1,2
% 6.05/1.81 Id : 5842, {_}: rd ?4791 (mult (mult ?4792 ?4792) (mult ?4792 ?4792)) =>= mult (rd unit ?4792) (mult ?4792 ?4791) [4792, 4791] by Demod 5766 with 3941 at 2
% 6.05/1.81 Id : 5843, {_}: rd ?4791 (rd (mult ?4792 ?4792) (mult ?4792 ?4792)) =>= mult (rd unit ?4792) (mult ?4792 ?4791) [4792, 4791] by Demod 5842 with 1163 at 2,2
% 6.05/1.81 Id : 31, {_}: rd ?77 ?77 =>= unit [77] by Super 5 with 7 at 1,2
% 6.05/1.81 Id : 5844, {_}: rd ?4791 unit =<= mult (rd unit ?4792) (mult ?4792 ?4791) [4792, 4791] by Demod 5843 with 31 at 2,2
% 6.05/1.81 Id : 25, {_}: rd ?65 unit =>= ?65 [65] by Super 4 with 6 at 2
% 6.05/1.81 Id : 5845, {_}: ?4791 =<= mult (rd unit ?4792) (mult ?4792 ?4791) [4792, 4791] by Demod 5844 with 25 at 2
% 6.05/1.81 Id : 99, {_}: mult ?182 (mult ?182 (mult ?182 ?183)) =<= mult (mult ?182 (mult ?182 ?182)) ?183 [183, 182] by Super 8 with 10 at 1,3
% 6.05/1.81 Id : 4733, {_}: rd (mult ?182 ?183) (mult ?182 ?182) =<= mult (mult ?182 (mult ?182 ?182)) ?183 [183, 182] by Demod 99 with 1192 at 2
% 6.05/1.81 Id : 4734, {_}: rd (mult ?182 ?183) (mult ?182 ?182) =<= mult (rd ?182 (mult ?182 ?182)) ?183 [183, 182] by Demod 4733 with 1192 at 1,3
% 6.05/1.81 Id : 1189, {_}: mult ?18 (mult ?19 (mult ?19 ?20)) =<= mult (rd ?18 (mult ?19 ?19)) ?20 [20, 19, 18] by Demod 215 with 1163 at 1,3
% 6.05/1.81 Id : 1197, {_}: mult ?18 (rd ?20 (mult ?19 ?19)) =<= mult (rd ?18 (mult ?19 ?19)) ?20 [19, 20, 18] by Demod 1189 with 1192 at 2,2
% 6.05/1.81 Id : 4735, {_}: rd (mult ?182 ?183) (mult ?182 ?182) =<= mult ?182 (rd ?183 (mult ?182 ?182)) [183, 182] by Demod 4734 with 1197 at 3
% 6.05/1.81 Id : 5733, {_}: mult (rd unit ?182) ?183 =<= mult ?182 (rd ?183 (mult ?182 ?182)) [183, 182] by Demod 4735 with 5732 at 2
% 6.05/1.81 Id : 5734, {_}: mult (rd unit ?4692) (mult ?4692 ?4693) =>= mult ?4692 (mult (rd unit ?4692) ?4693) [4693, 4692] by Super 5733 with 5732 at 2,3
% 6.05/1.81 Id : 6324, {_}: ?4791 =<= mult ?4792 (mult (rd unit ?4792) ?4791) [4792, 4791] by Demod 5845 with 5734 at 3
% 6.05/1.81 Id : 6333, {_}: ld ?5160 ?5161 =<= mult (rd unit ?5160) ?5161 [5161, 5160] by Super 3 with 6324 at 2,2
% 6.05/1.81 Id : 6465, {_}: rd (ld ?4752 ?4753) ?4752 =<= mult (mult ?4752 ?4753) ?4752 [4753, 4752] by Demod 5752 with 6333 at 1,2
% 6.05/1.81 Id : 17, {_}: ld (rd ?43 ?44) ?43 =>= ?44 [44, 43] by Super 3 with 4 at 2,2
% 6.05/1.81 Id : 6087, {_}: rd (mult (rd unit ?5050) ?5051) ?5050 =>= mult (mult ?5050 ?5051) ?5050 [5051, 5050] by Super 5241 with 5732 at 1,2
% 6.05/1.81 Id : 6109, {_}: rd (rd (rd unit ?5114) ?5115) ?5114 =<= mult (mult ?5114 (rd unit ?5115)) ?5114 [5115, 5114] by Super 6087 with 3752 at 1,2
% 6.05/1.81 Id : 6296, {_}: rd (rd (rd unit ?5114) ?5115) ?5114 =>= mult (rd ?5114 ?5115) ?5114 [5115, 5114] by Demod 6109 with 3752 at 1,3
% 6.05/1.81 Id : 3667, {_}: ?2821 =<= mult (mult ?2821 ?2822) (rd unit ?2822) [2822, 2821] by Demod 3604 with 4 at 2
% 6.05/1.81 Id : 4143, {_}: ld (mult ?3257 ?3258) ?3257 =>= rd unit ?3258 [3258, 3257] by Super 3 with 3667 at 2,2
% 6.05/1.81 Id : 4144, {_}: ld ?3260 ?3261 =<= rd unit (ld ?3261 ?3260) [3261, 3260] by Super 4143 with 2 at 1,2
% 6.05/1.81 Id : 6513, {_}: ld ?5411 ?5412 =<= mult (rd unit ?5411) ?5412 [5412, 5411] by Super 3 with 6324 at 2,2
% 6.05/1.81 Id : 22, {_}: rd ?57 (ld ?58 ?57) =>= ?58 [58, 57] by Super 21 with 2 at 1,2
% 6.05/1.81 Id : 6516, {_}: ld (ld ?5420 unit) ?5421 =>= mult ?5420 ?5421 [5421, 5420] by Super 6513 with 22 at 1,3
% 6.05/1.81 Id : 6674, {_}: ld (rd unit ?5420) ?5421 =>= mult ?5420 ?5421 [5421, 5420] by Demod 6516 with 1476 at 1,2
% 6.05/1.81 Id : 7106, {_}: ld ?5867 (rd unit ?5868) =>= rd unit (mult ?5868 ?5867) [5868, 5867] by Super 4144 with 6674 at 2,3
% 6.05/1.81 Id : 6480, {_}: rd (rd unit ?5305) ?5306 =<= ld ?5305 (rd unit ?5306) [5306, 5305] by Super 3752 with 6333 at 3
% 6.05/1.81 Id : 7169, {_}: rd (rd unit ?5867) ?5868 =>= rd unit (mult ?5868 ?5867) [5868, 5867] by Demod 7106 with 6480 at 2
% 6.05/1.81 Id : 9931, {_}: rd (rd unit (mult ?5115 ?5114)) ?5114 =>= mult (rd ?5114 ?5115) ?5114 [5114, 5115] by Demod 6296 with 7169 at 1,2
% 6.05/1.81 Id : 7241, {_}: rd (rd unit ?6047) ?6048 =>= rd unit (mult ?6048 ?6047) [6048, 6047] by Demod 7106 with 6480 at 2
% 6.05/1.81 Id : 7244, {_}: rd ?6056 ?6057 =<= rd unit (mult ?6057 (ld ?6056 unit)) [6057, 6056] by Super 7241 with 22 at 1,2
% 6.05/1.81 Id : 4186, {_}: rd ?3305 (ld ?3306 ?3307) =<= mult ?3305 (ld ?3307 ?3306) [3307, 3306, 3305] by Super 3752 with 4144 at 2,3
% 6.05/1.81 Id : 7365, {_}: rd ?6056 ?6057 =<= rd unit (rd ?6057 (ld unit ?6056)) [6057, 6056] by Demod 7244 with 4186 at 2,3
% 6.05/1.81 Id : 32, {_}: ld unit ?79 =>= ?79 [79] by Super 3 with 7 at 2,2
% 6.05/1.81 Id : 7366, {_}: rd ?6056 ?6057 =<= rd unit (rd ?6057 ?6056) [6057, 6056] by Demod 7365 with 32 at 2,2,3
% 6.05/1.81 Id : 8090, {_}: ld (rd ?6617 ?6618) ?6619 =<= mult (rd ?6618 ?6617) ?6619 [6619, 6618, 6617] by Super 6674 with 7366 at 1,2
% 6.05/1.81 Id : 9932, {_}: rd (rd unit (mult ?5115 ?5114)) ?5114 =>= ld (rd ?5115 ?5114) ?5114 [5114, 5115] by Demod 9931 with 8090 at 3
% 6.05/1.81 Id : 9933, {_}: rd unit (mult ?5114 (mult ?5115 ?5114)) =>= ld (rd ?5115 ?5114) ?5114 [5115, 5114] by Demod 9932 with 7169 at 2
% 6.05/1.81 Id : 9943, {_}: ld (ld (rd ?8703 ?8704) ?8704) unit =>= mult ?8704 (mult ?8703 ?8704) [8704, 8703] by Super 17 with 9933 at 1,2
% 6.05/1.81 Id : 9986, {_}: rd unit (ld (rd ?8703 ?8704) ?8704) =>= mult ?8704 (mult ?8703 ?8704) [8704, 8703] by Demod 9943 with 1476 at 2
% 6.05/1.81 Id : 9987, {_}: ld ?8704 (rd ?8703 ?8704) =<= mult ?8704 (mult ?8703 ?8704) [8703, 8704] by Demod 9986 with 4144 at 2
% 6.05/1.81 Id : 106, {_}: rd (mult ?204 (mult ?205 ?205)) ?204 =>= mult ?205 ?205 [205, 204] by Super 5 with 10 at 1,2
% 6.05/1.81 Id : 5116, {_}: rd (rd ?204 (mult ?205 ?205)) ?204 =>= mult ?205 ?205 [205, 204] by Demod 106 with 1163 at 1,2
% 6.05/1.81 Id : 222, {_}: mult ?363 (mult ?364 ?364) =<= mult (mult ?363 ?364) ?364 [364, 363] by Demod 39 with 6 at 2,2,2
% 6.05/1.81 Id : 224, {_}: mult (rd ?369 ?370) (mult ?370 ?370) =>= mult ?369 ?370 [370, 369] by Super 222 with 4 at 1,3
% 6.05/1.81 Id : 5435, {_}: rd (rd ?369 ?370) (mult ?370 ?370) =>= mult ?369 ?370 [370, 369] by Demod 224 with 1163 at 2
% 6.05/1.81 Id : 14513, {_}: rd (mult ?11634 ?11635) (rd ?11634 ?11635) =>= mult ?11635 ?11635 [11635, 11634] by Super 5116 with 5435 at 1,2
% 6.05/1.81 Id : 14515, {_}: rd (mult ?11640 (ld ?11641 ?11640)) ?11641 =<= mult (ld ?11641 ?11640) (ld ?11641 ?11640) [11641, 11640] by Super 14513 with 22 at 2,2
% 6.05/1.81 Id : 14611, {_}: rd (rd ?11640 (ld ?11640 ?11641)) ?11641 =<= mult (ld ?11641 ?11640) (ld ?11641 ?11640) [11641, 11640] by Demod 14515 with 4186 at 1,2
% 6.05/1.81 Id : 14612, {_}: rd (rd ?11640 (ld ?11640 ?11641)) ?11641 =>= rd (ld ?11641 ?11640) (ld ?11640 ?11641) [11641, 11640] by Demod 14611 with 4186 at 3
% 6.05/1.81 Id : 28011, {_}: rd ?22394 (rd ?22395 (ld ?22395 ?22394)) =<= rd unit (rd (ld ?22394 ?22395) (ld ?22395 ?22394)) [22395, 22394] by Super 7366 with 14612 at 2,3
% 6.05/1.81 Id : 28182, {_}: rd ?22394 (rd ?22395 (ld ?22395 ?22394)) =<= rd (ld ?22395 ?22394) (ld ?22394 ?22395) [22395, 22394] by Demod 28011 with 7366 at 3
% 6.05/1.81 Id : 3963, {_}: ld ?3142 (rd ?3142 ?3143) =>= rd unit ?3143 [3143, 3142] by Super 3 with 3752 at 2,2
% 6.05/1.81 Id : 5451, {_}: ld (rd ?4468 ?4469) (mult ?4468 ?4469) =>= rd unit (mult ?4469 ?4469) [4469, 4468] by Super 3963 with 5435 at 2,2
% 6.05/1.81 Id : 441, {_}: mult ?619 (mult ?619 (mult (mult ?619 ?619) (mult ?619 ?619))) =>= ld (mult ?619 ?619) unit [619] by Super 58 with 66 at 3
% 6.05/1.81 Id : 452, {_}: mult ?619 (mult ?619 (mult ?619 (mult ?619 (mult ?619 ?619)))) =>= ld (mult ?619 ?619) unit [619] by Demod 441 with 58 at 2,2,2
% 6.05/1.81 Id : 453, {_}: mult ?619 (mult ?619 (mult ?619 (ld ?619 unit))) =>= ld (mult ?619 ?619) unit [619] by Demod 452 with 66 at 2,2,2,2
% 6.05/1.81 Id : 454, {_}: mult ?619 (mult ?619 unit) =>= ld (mult ?619 ?619) unit [619] by Demod 453 with 2 at 2,2,2
% 6.05/1.81 Id : 455, {_}: mult ?619 ?619 =<= ld (mult ?619 ?619) unit [619] by Demod 454 with 6 at 2,2
% 6.05/1.81 Id : 511, {_}: rd unit (mult ?663 ?663) =>= mult ?663 ?663 [663] by Super 22 with 455 at 2,2
% 6.05/1.81 Id : 15592, {_}: ld (rd ?12692 ?12693) (mult ?12692 ?12693) =>= mult ?12693 ?12693 [12693, 12692] by Demod 5451 with 511 at 3
% 6.05/1.81 Id : 15595, {_}: ld (rd ?12699 (mult ?12699 ?12700)) (rd ?12700 (mult ?12699 ?12699)) =>= mult (mult ?12699 ?12700) (mult ?12699 ?12700) [12700, 12699] by Super 15592 with 1192 at 2,2
% 6.05/1.81 Id : 3580, {_}: mult (rd ?114 ?115) (rd ?116 (mult ?115 ?115)) =>= mult (mult ?114 ?115) ?116 [116, 115, 114] by Demod 45 with 1192 at 2,2
% 6.05/1.81 Id : 9055, {_}: ld (rd ?115 ?114) (rd ?116 (mult ?115 ?115)) =>= mult (mult ?114 ?115) ?116 [116, 114, 115] by Demod 3580 with 8090 at 2
% 6.05/1.81 Id : 15752, {_}: mult (mult (mult ?12699 ?12700) ?12699) ?12700 =>= mult (mult ?12699 ?12700) (mult ?12699 ?12700) [12700, 12699] by Demod 15595 with 9055 at 2
% 6.05/1.81 Id : 50, {_}: mult (mult ?132 ?133) (mult ?133 (mult ?133 ?134)) =<= mult (mult ?132 (mult ?133 (mult ?133 ?133))) ?134 [134, 133, 132] by Super 43 with 8 at 1,3
% 6.05/1.81 Id : 4936, {_}: mult (mult ?132 ?133) (rd ?134 (mult ?133 ?133)) =<= mult (mult ?132 (mult ?133 (mult ?133 ?133))) ?134 [134, 133, 132] by Demod 50 with 1192 at 2,2
% 6.05/1.81 Id : 4937, {_}: mult (mult ?132 ?133) (rd ?134 (mult ?133 ?133)) =<= mult (mult ?132 (rd ?133 (mult ?133 ?133))) ?134 [134, 133, 132] by Demod 4936 with 1192 at 2,1,3
% 6.05/1.81 Id : 1484, {_}: rd unit ?150 =<= rd ?150 (mult ?150 ?150) [150] by Demod 1188 with 1476 at 2
% 6.05/1.81 Id : 4938, {_}: mult (mult ?132 ?133) (rd ?134 (mult ?133 ?133)) =>= mult (mult ?132 (rd unit ?133)) ?134 [134, 133, 132] by Demod 4937 with 1484 at 2,1,3
% 6.05/1.81 Id : 4939, {_}: mult (mult ?132 ?133) (rd ?134 (mult ?133 ?133)) =>= mult (rd ?132 ?133) ?134 [134, 133, 132] by Demod 4938 with 3752 at 1,3
% 6.05/1.81 Id : 5439, {_}: mult (mult ?4424 ?4425) (mult ?4426 ?4425) =>= mult (rd ?4424 ?4425) (rd ?4426 ?4425) [4426, 4425, 4424] by Super 4939 with 5435 at 2,2
% 6.05/1.81 Id : 14767, {_}: mult (mult ?4424 ?4425) (mult ?4426 ?4425) =>= ld (rd ?4425 ?4424) (rd ?4426 ?4425) [4426, 4425, 4424] by Demod 5439 with 8090 at 3
% 6.05/1.81 Id : 15753, {_}: mult (mult (mult ?12699 ?12700) ?12699) ?12700 =>= ld (rd ?12700 ?12699) (rd ?12699 ?12700) [12700, 12699] by Demod 15752 with 14767 at 3
% 6.05/1.81 Id : 15754, {_}: mult (rd (ld ?12699 ?12700) ?12699) ?12700 =>= ld (rd ?12700 ?12699) (rd ?12699 ?12700) [12700, 12699] by Demod 15753 with 6465 at 1,2
% 6.05/1.81 Id : 15755, {_}: ld (rd ?12699 (ld ?12699 ?12700)) ?12700 =>= ld (rd ?12700 ?12699) (rd ?12699 ?12700) [12700, 12699] by Demod 15754 with 8090 at 2
% 6.05/1.81 Id : 15265, {_}: ld (mult ?12463 ?12464) (rd ?12463 ?12464) =>= mult ?12464 ?12464 [12464, 12463] by Super 17 with 5435 at 1,2
% 6.05/1.81 Id : 15267, {_}: ld (mult ?12469 (ld ?12470 ?12469)) ?12470 =<= mult (ld ?12470 ?12469) (ld ?12470 ?12469) [12470, 12469] by Super 15265 with 22 at 2,2
% 6.05/1.81 Id : 15391, {_}: ld (rd ?12469 (ld ?12469 ?12470)) ?12470 =<= mult (ld ?12470 ?12469) (ld ?12470 ?12469) [12470, 12469] by Demod 15267 with 4186 at 1,2
% 6.05/1.81 Id : 15392, {_}: ld (rd ?12469 (ld ?12469 ?12470)) ?12470 =>= rd (ld ?12470 ?12469) (ld ?12469 ?12470) [12470, 12469] by Demod 15391 with 4186 at 3
% 6.05/1.81 Id : 34159, {_}: rd (ld ?12700 ?12699) (ld ?12699 ?12700) =<= ld (rd ?12700 ?12699) (rd ?12699 ?12700) [12699, 12700] by Demod 15755 with 15392 at 2
% 6.05/1.81 Id : 8093, {_}: rd ?6628 (rd ?6629 ?6630) =<= mult ?6628 (rd ?6630 ?6629) [6630, 6629, 6628] by Super 3752 with 7366 at 2,3
% 6.05/1.81 Id : 9270, {_}: ld (rd ?8050 ?8051) (rd ?8052 ?8053) =>= rd (rd ?8051 ?8050) (rd ?8053 ?8052) [8053, 8052, 8051, 8050] by Super 8090 with 8093 at 3
% 6.05/1.81 Id : 34160, {_}: rd (ld ?12700 ?12699) (ld ?12699 ?12700) =>= rd (rd ?12699 ?12700) (rd ?12700 ?12699) [12699, 12700] by Demod 34159 with 9270 at 3
% 6.05/1.81 Id : 15605, {_}: ld (rd ?12734 (mult ?12735 ?12734)) (ld ?12734 (rd ?12735 ?12734)) =>= mult (mult ?12735 ?12734) (mult ?12735 ?12734) [12735, 12734] by Super 15592 with 9987 at 2,2
% 6.05/1.81 Id : 7108, {_}: rd ?5873 (mult ?5874 ?5873) =>= rd unit ?5874 [5874, 5873] by Super 22 with 6674 at 2,2
% 6.05/1.81 Id : 15771, {_}: ld (rd unit ?12735) (ld ?12734 (rd ?12735 ?12734)) =>= mult (mult ?12735 ?12734) (mult ?12735 ?12734) [12734, 12735] by Demod 15605 with 7108 at 1,2
% 6.05/1.81 Id : 15772, {_}: ld (rd unit ?12735) (ld ?12734 (rd ?12735 ?12734)) =>= ld (rd ?12734 ?12735) (rd ?12735 ?12734) [12734, 12735] by Demod 15771 with 14767 at 3
% 6.05/1.81 Id : 15773, {_}: mult ?12735 (ld ?12734 (rd ?12735 ?12734)) =>= ld (rd ?12734 ?12735) (rd ?12735 ?12734) [12734, 12735] by Demod 15772 with 6674 at 2
% 6.05/1.81 Id : 15774, {_}: rd ?12735 (ld (rd ?12735 ?12734) ?12734) =<= ld (rd ?12734 ?12735) (rd ?12735 ?12734) [12734, 12735] by Demod 15773 with 4186 at 2
% 6.05/1.81 Id : 34827, {_}: rd ?12735 (ld (rd ?12735 ?12734) ?12734) =<= rd (rd ?12735 ?12734) (rd ?12734 ?12735) [12734, 12735] by Demod 15774 with 9270 at 3
% 6.05/1.81 Id : 34828, {_}: rd (ld ?12700 ?12699) (ld ?12699 ?12700) =>= rd ?12699 (ld (rd ?12699 ?12700) ?12700) [12699, 12700] by Demod 34160 with 34827 at 3
% 6.05/1.81 Id : 46782, {_}: rd ?22394 (rd ?22395 (ld ?22395 ?22394)) =<= rd ?22394 (ld (rd ?22394 ?22395) ?22395) [22395, 22394] by Demod 28182 with 34828 at 3
% 6.05/1.81 Id : 46826, {_}: ld (rd ?35294 (rd ?35295 (ld ?35295 ?35294))) ?35294 =>= ld (rd ?35294 ?35295) ?35295 [35295, 35294] by Super 17 with 46782 at 1,2
% 6.05/1.81 Id : 47047, {_}: rd ?35295 (ld ?35295 ?35294) =<= ld (rd ?35294 ?35295) ?35295 [35294, 35295] by Demod 46826 with 17 at 2
% 6.05/1.81 Id : 48554, {_}: ld ?36032 (rd ?36033 ?36032) =<= rd unit (rd ?36032 (ld ?36032 ?36033)) [36033, 36032] by Super 4144 with 47047 at 2,3
% 6.05/1.81 Id : 48729, {_}: ld ?36032 (rd ?36033 ?36032) =>= rd (ld ?36032 ?36033) ?36032 [36033, 36032] by Demod 48554 with 7366 at 3
% 6.05/1.81 Id : 49108, {_}: rd (ld ?8704 ?8703) ?8704 =<= mult ?8704 (mult ?8703 ?8704) [8703, 8704] by Demod 9987 with 48729 at 2
% 6.05/1.81 Id : 49854, {_}: rd (ld a b) a =?= rd (ld a b) a [] by Demod 49853 with 49108 at 3
% 6.05/1.81 Id : 49853, {_}: rd (ld a b) a =<= mult a (mult b a) [] by Demod 1 with 6465 at 2
% 6.05/1.81 Id : 1, {_}: mult (mult a b) a =>= mult a (mult b a) [] by goals
% 6.05/1.81 % SZS output end CNFRefutation for theBenchmark.p
% 6.05/1.81 30450: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.47677 using kbo
%------------------------------------------------------------------------------