TSTP Solution File: GRP777-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP777-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 : Sat Jul 16 10:31:57 EDT 2022
% Result : Unsatisfiable 14.33s 3.89s
% Output : CNFRefutation 14.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP777-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 : Tue Jun 14 04:14:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 21097: Facts:
% 0.13/0.34 21097: Id : 2, {_}: difference ?2 (product ?2 ?3) =>= ?3 [3, 2] by sos01 ?2 ?3
% 0.13/0.34 21097: Id : 3, {_}: product ?5 (difference ?5 ?6) =>= ?6 [6, 5] by sos02 ?5 ?6
% 0.13/0.34 21097: Id : 4, {_}: quotient (product ?8 ?9) ?9 =>= ?8 [9, 8] by sos03 ?8 ?9
% 0.13/0.34 21097: Id : 5, {_}: product (quotient ?11 ?12) ?12 =>= ?11 [12, 11] by sos04 ?11 ?12
% 0.13/0.34 21097: Id : 6, {_}:
% 0.13/0.34 product (product ?14 ?15) (product ?16 ?17)
% 0.13/0.34 =?=
% 0.13/0.34 product (product ?14 ?16) (product ?15 ?17)
% 0.13/0.34 [17, 16, 15, 14] by sos05 ?14 ?15 ?16 ?17
% 0.13/0.34 21097: Id : 7, {_}: product ?19 ?19 =>= ?19 [19] by sos06 ?19
% 0.13/0.34 21097: Id : 8, {_}:
% 0.13/0.34 product (product (product ?21 ?22) ?22)
% 0.13/0.34 (product ?22 (product ?22 ?21))
% 0.13/0.34 =>=
% 0.13/0.34 ?22
% 0.13/0.34 [22, 21] by sos07 ?21 ?22
% 0.13/0.34 21097: Id : 9, {_}:
% 0.13/0.34 bigC ?24 ?25 ?26 =<= product (product ?24 ?25) (product ?26 ?24)
% 0.13/0.34 [26, 25, 24] by sos08 ?24 ?25 ?26
% 0.13/0.34 21097: Id : 10, {_}: product (product a c) (product c b) =>= product a b [] by sos09
% 0.13/0.34 21097: Goal:
% 0.13/0.34 21097: Id : 1, {_}: bigC a b x0 =>= bigC c c x0 [] by goal
% 14.33/3.89 Statistics :
% 14.33/3.89 Max weight : 34
% 14.33/3.89 Found proof, 3.543838s
% 14.33/3.89 % SZS status Unsatisfiable for theBenchmark.p
% 14.33/3.89 % SZS output start CNFRefutation for theBenchmark.p
% 14.33/3.89 Id : 8, {_}: product (product (product ?21 ?22) ?22) (product ?22 (product ?22 ?21)) =>= ?22 [22, 21] by sos07 ?21 ?22
% 14.33/3.89 Id : 10, {_}: product (product a c) (product c b) =>= product a b [] by sos09
% 14.33/3.89 Id : 76, {_}: product (product (product ?270 ?271) ?271) (product ?271 (product ?271 ?270)) =>= ?271 [271, 270] by sos07 ?270 ?271
% 14.33/3.89 Id : 116, {_}: bigC ?391 ?392 ?393 =<= product (product ?391 ?392) (product ?393 ?391) [393, 392, 391] by sos08 ?391 ?392 ?393
% 14.33/3.89 Id : 2, {_}: difference ?2 (product ?2 ?3) =>= ?3 [3, 2] by sos01 ?2 ?3
% 14.33/3.89 Id : 7, {_}: product ?19 ?19 =>= ?19 [19] by sos06 ?19
% 14.33/3.89 Id : 6, {_}: product (product ?14 ?15) (product ?16 ?17) =?= product (product ?14 ?16) (product ?15 ?17) [17, 16, 15, 14] by sos05 ?14 ?15 ?16 ?17
% 14.33/3.89 Id : 4, {_}: quotient (product ?8 ?9) ?9 =>= ?8 [9, 8] by sos03 ?8 ?9
% 14.33/3.89 Id : 3, {_}: product ?5 (difference ?5 ?6) =>= ?6 [6, 5] by sos02 ?5 ?6
% 14.33/3.89 Id : 5, {_}: product (quotient ?11 ?12) ?12 =>= ?11 [12, 11] by sos04 ?11 ?12
% 14.33/3.89 Id : 29, {_}: product (product ?87 ?88) (product ?89 ?90) =?= product (product ?87 ?89) (product ?88 ?90) [90, 89, 88, 87] by sos05 ?87 ?88 ?89 ?90
% 14.33/3.89 Id : 9, {_}: bigC ?24 ?25 ?26 =<= product (product ?24 ?25) (product ?26 ?24) [26, 25, 24] by sos08 ?24 ?25 ?26
% 14.33/3.89 Id : 31, {_}: product (product ?97 (quotient ?98 ?99)) (product ?100 ?99) =>= product (product ?97 ?100) ?98 [100, 99, 98, 97] by Super 29 with 5 at 2,3
% 14.33/3.89 Id : 780, {_}: bigC ?2101 (quotient ?2102 ?2101) ?2103 =>= product (product ?2101 ?2103) ?2102 [2103, 2102, 2101] by Super 9 with 31 at 3
% 14.33/3.89 Id : 34, {_}: product (product ?116 ?117) (product (difference ?116 ?118) ?119) =>= product ?118 (product ?117 ?119) [119, 118, 117, 116] by Super 29 with 3 at 1,3
% 14.33/3.89 Id : 52, {_}: product (product ?212 ?213) (product ?214 ?213) =>= product (product ?212 ?214) ?213 [214, 213, 212] by Super 6 with 7 at 2,3
% 14.33/3.89 Id : 53, {_}: product (product ?216 ?217) (product ?216 ?218) =>= product ?216 (product ?217 ?218) [218, 217, 216] by Super 6 with 7 at 1,3
% 14.33/3.89 Id : 1944, {_}: bigC ?5810 ?5811 (difference ?5810 ?5812) =>= product ?5812 (product ?5811 ?5810) [5812, 5811, 5810] by Super 9 with 34 at 3
% 14.33/3.89 Id : 120, {_}: bigC ?409 ?410 ?409 =<= product (product ?409 ?410) ?409 [410, 409] by Super 116 with 7 at 2,3
% 14.33/3.89 Id : 215, {_}: quotient (bigC ?589 ?590 ?589) ?589 =>= product ?589 ?590 [590, 589] by Super 4 with 120 at 1,2
% 14.33/3.89 Id : 918, {_}: quotient (product (product ?2435 ?2435) ?2436) ?2435 =>= product ?2435 (quotient ?2436 ?2435) [2436, 2435] by Super 215 with 780 at 1,2
% 14.33/3.89 Id : 929, {_}: quotient (product ?2435 ?2436) ?2435 =<= product ?2435 (quotient ?2436 ?2435) [2436, 2435] by Demod 918 with 7 at 1,1,2
% 14.33/3.89 Id : 8028, {_}: difference ?20792 (quotient (product ?20792 ?20793) ?20792) =>= quotient ?20793 ?20792 [20793, 20792] by Super 2 with 929 at 2,2
% 14.33/3.89 Id : 8029, {_}: difference ?20795 (quotient ?20796 ?20795) =>= quotient (difference ?20795 ?20796) ?20795 [20796, 20795] by Super 8028 with 3 at 1,2,2
% 14.33/3.89 Id : 78, {_}: product (product (product ?276 (quotient ?277 ?276)) (quotient ?277 ?276)) (product (quotient ?277 ?276) ?277) =>= quotient ?277 ?276 [277, 276] by Super 76 with 5 at 2,2,2
% 14.33/3.89 Id : 10826, {_}: product (product (quotient (product ?25549 ?25550) ?25549) (quotient ?25550 ?25549)) (product (quotient ?25550 ?25549) ?25550) =>= quotient ?25550 ?25549 [25550, 25549] by Demod 78 with 929 at 1,1,2
% 14.33/3.89 Id : 150, {_}: quotient (product a b) (product c b) =>= product a c [] by Super 4 with 10 at 1,2
% 14.33/3.89 Id : 10832, {_}: product (product (quotient (product (product c b) (product a b)) (product c b)) (quotient (product a b) (product c b))) (product (product a c) (product a b)) =>= quotient (product a b) (product c b) [] by Super 10826 with 150 at 1,2,2
% 14.33/3.89 Id : 10998, {_}: product (product (quotient (product (product c a) b) (product c b)) (quotient (product a b) (product c b))) (product (product a c) (product a b)) =>= quotient (product a b) (product c b) [] by Demod 10832 with 52 at 1,1,1,2
% 14.33/3.89 Id : 10999, {_}: product (product (quotient (product (product c a) b) (product c b)) (product a c)) (product (product a c) (product a b)) =>= quotient (product a b) (product c b) [] by Demod 10998 with 150 at 2,1,2
% 14.33/3.89 Id : 11000, {_}: product (product (quotient (product (product c a) b) (product c b)) (product a c)) (product a (product c b)) =>= quotient (product a b) (product c b) [] by Demod 10999 with 53 at 2,2
% 14.33/3.89 Id : 11001, {_}: product (product (quotient (product (product c a) b) (product c b)) (product a c)) (product a (product c b)) =>= product a c [] by Demod 11000 with 150 at 3
% 14.33/3.89 Id : 11002, {_}: product (product (quotient (product (product c a) b) (product c b)) a) (product (product a c) (product c b)) =>= product a c [] by Demod 11001 with 6 at 2
% 14.33/3.89 Id : 958, {_}: quotient (product ?2575 ?2576) ?2575 =<= product ?2575 (quotient ?2576 ?2575) [2576, 2575] by Demod 918 with 7 at 1,1,2
% 14.33/3.89 Id : 963, {_}: quotient (product (product c b) (product a b)) (product c b) =>= product (product c b) (product a c) [] by Super 958 with 150 at 2,3
% 14.33/3.89 Id : 983, {_}: quotient (product (product c b) (product a b)) (product c b) =>= bigC c b a [] by Demod 963 with 9 at 3
% 14.33/3.89 Id : 8226, {_}: quotient (product (product c a) b) (product c b) =>= bigC c b a [] by Demod 983 with 52 at 1,2
% 14.33/3.89 Id : 8230, {_}: product (bigC c b a) (product c b) =>= product (product c a) b [] by Super 5 with 8226 at 1,2
% 14.33/3.89 Id : 1045, {_}: product (product ?2789 ?2790) (product ?2791 ?2790) =>= product (product ?2789 ?2791) ?2790 [2791, 2790, 2789] by Super 6 with 7 at 2,3
% 14.33/3.89 Id : 1070, {_}: product (product a b) (product ?2891 (product c b)) =<= product (product (product a c) ?2891) (product c b) [2891] by Super 1045 with 10 at 1,2
% 14.33/3.89 Id : 1791, {_}: product (product (product a c) c) (product ?5476 b) =>= product (product a b) (product ?5476 (product c b)) [5476] by Super 6 with 1070 at 3
% 14.33/3.89 Id : 1794, {_}: product (product (product a c) c) (bigC b ?5481 b) =<= product (product a b) (product (product b ?5481) (product c b)) [5481] by Super 1791 with 120 at 2,2
% 14.33/3.89 Id : 10263, {_}: product (product (product a c) c) (bigC b ?24581 b) =>= product (product a b) (bigC b ?24581 c) [24581] by Demod 1794 with 9 at 2,3
% 14.33/3.89 Id : 10267, {_}: product (product (product a c) c) (product (product b b) ?24588) =>= product (product a b) (bigC b (quotient ?24588 b) c) [24588] by Super 10263 with 780 at 2,2
% 14.33/3.89 Id : 10295, {_}: product (product (product a c) c) (product b ?24588) =<= product (product a b) (bigC b (quotient ?24588 b) c) [24588] by Demod 10267 with 7 at 1,2,2
% 14.33/3.89 Id : 10296, {_}: product (product (product a c) c) (product b ?24588) =>= product (product a b) (product (product b c) ?24588) [24588] by Demod 10295 with 780 at 2,3
% 14.33/3.89 Id : 10342, {_}: quotient (product (product a b) (product (product b c) ?24744)) (product b ?24744) =>= product (product a c) c [24744] by Super 4 with 10296 at 1,2
% 14.33/3.89 Id : 25, {_}: quotient (product (product ?67 ?68) (product ?69 ?70)) (product ?68 ?70) =>= product ?67 ?69 [70, 69, 68, 67] by Super 4 with 6 at 1,2
% 14.33/3.89 Id : 10397, {_}: product a (product b c) =<= product (product a c) c [] by Demod 10342 with 25 at 2
% 14.33/3.89 Id : 10460, {_}: difference (product a c) (product a (product b c)) =>= c [] by Super 2 with 10397 at 2,2
% 14.33/3.89 Id : 127, {_}: bigC ?441 ?441 ?442 =<= product ?441 (product ?442 ?441) [442, 441] by Super 116 with 7 at 1,3
% 14.33/3.89 Id : 300, {_}: difference ?878 (bigC ?878 ?878 ?879) =>= product ?879 ?878 [879, 878] by Super 2 with 127 at 2,2
% 14.33/3.89 Id : 153, {_}: bigC (product a c) (product c b) ?493 =<= product (product a b) (product ?493 (product a c)) [493] by Super 9 with 10 at 1,3
% 14.33/3.89 Id : 2259, {_}: product (product ?6785 ?6786) (product ?6785 ?6787) =>= product ?6785 (product ?6786 ?6787) [6787, 6786, 6785] by Super 6 with 7 at 1,3
% 14.33/3.89 Id : 2296, {_}: product (product a b) (product (product a c) ?6935) =>= product (product a c) (product (product c b) ?6935) [6935] by Super 2259 with 10 at 1,2
% 14.33/3.89 Id : 2742, {_}: bigC (product a c) (product c b) (product a c) =<= product (product a c) (product (product c b) (product a c)) [] by Super 153 with 2296 at 3
% 14.33/3.89 Id : 219, {_}: bigC ?603 ?604 ?603 =<= product (product ?603 ?604) ?603 [604, 603] by Super 116 with 7 at 2,3
% 14.33/3.89 Id : 225, {_}: bigC (product a c) (product c b) (product a c) =>= product (product a b) (product a c) [] by Super 219 with 10 at 1,3
% 14.33/3.89 Id : 2204, {_}: bigC (product a c) (product c b) (product a c) =>= product a (product b c) [] by Demod 225 with 53 at 3
% 14.33/3.89 Id : 2777, {_}: product a (product b c) =<= product (product a c) (product (product c b) (product a c)) [] by Demod 2742 with 2204 at 2
% 14.33/3.89 Id : 2778, {_}: product a (product b c) =<= bigC (product a c) (product a c) (product c b) [] by Demod 2777 with 127 at 3
% 14.33/3.89 Id : 3451, {_}: difference (product a c) (product a (product b c)) =>= product (product c b) (product a c) [] by Super 300 with 2778 at 2,2
% 14.33/3.89 Id : 3454, {_}: difference (product a c) (product a (product b c)) =>= bigC c b a [] by Demod 3451 with 9 at 3
% 14.33/3.89 Id : 10515, {_}: bigC c b a =>= c [] by Demod 10460 with 3454 at 2
% 14.33/3.89 Id : 10565, {_}: product c (product c b) =<= product (product c a) b [] by Demod 8230 with 10515 at 1,2
% 14.33/3.89 Id : 11003, {_}: product (product (quotient (product c (product c b)) (product c b)) a) (product (product a c) (product c b)) =>= product a c [] by Demod 11002 with 10565 at 1,1,1,2
% 14.33/3.89 Id : 11004, {_}: product (product (quotient (product c (product c b)) (product c b)) a) (product a b) =>= product a c [] by Demod 11003 with 10 at 2,2
% 14.33/3.89 Id : 11005, {_}: product (product c a) (product a b) =>= product a c [] by Demod 11004 with 4 at 1,1,2
% 14.33/3.89 Id : 11390, {_}: product (product ?25904 (product a b)) (product a c) =>= product (product ?25904 (product c a)) (product a b) [25904] by Super 52 with 11005 at 2,2
% 14.33/3.89 Id : 11429, {_}: product (product ?25904 a) (product (product a b) c) =<= product (product ?25904 (product c a)) (product a b) [25904] by Demod 11390 with 6 at 2
% 14.33/3.89 Id : 11430, {_}: product (product ?25904 a) (product (product a b) c) =>= product (product ?25904 a) (product (product c a) b) [25904] by Demod 11429 with 6 at 3
% 14.33/3.89 Id : 11431, {_}: product (product ?25904 a) (product (product a b) c) =>= product (product ?25904 a) (product c (product c b)) [25904] by Demod 11430 with 10565 at 2,3
% 14.33/3.89 Id : 11432, {_}: product (product ?25904 a) (product (product a b) c) =>= product (product ?25904 c) (product a (product c b)) [25904] by Demod 11431 with 6 at 3
% 14.33/3.89 Id : 19977, {_}: difference (product ?36958 a) (product (product ?36958 c) (product a (product c b))) =>= product (product a b) c [36958] by Super 2 with 11432 at 2,2
% 14.33/3.89 Id : 27, {_}: difference (product ?77 ?78) (product (product ?77 ?79) (product ?78 ?80)) =>= product ?79 ?80 [80, 79, 78, 77] by Super 2 with 6 at 2,2
% 14.33/3.89 Id : 20055, {_}: product c (product c b) =<= product (product a b) c [] by Demod 19977 with 27 at 2
% 14.33/3.89 Id : 20130, {_}: quotient (product c (product c b)) c =>= product a b [] by Super 4 with 20055 at 1,2
% 14.33/3.89 Id : 20384, {_}: difference c (product a b) =<= quotient (difference c (product c (product c b))) c [] by Super 8029 with 20130 at 2,2
% 14.33/3.89 Id : 20401, {_}: difference c (product a b) =>= quotient (product c b) c [] by Demod 20384 with 2 at 1,3
% 14.33/3.89 Id : 24962, {_}: bigC c ?38995 (quotient (product c b) c) =>= product (product a b) (product ?38995 c) [38995] by Super 1944 with 20401 at 3,2
% 14.33/3.89 Id : 118, {_}: bigC ?399 ?400 (quotient ?401 ?399) =>= product (product ?399 ?400) ?401 [401, 400, 399] by Super 116 with 5 at 2,3
% 14.33/3.89 Id : 24966, {_}: product (product c ?38995) (product c b) =<= product (product a b) (product ?38995 c) [38995] by Demod 24962 with 118 at 2
% 14.33/3.89 Id : 24967, {_}: product c (product ?38995 b) =<= product (product a b) (product ?38995 c) [38995] by Demod 24966 with 53 at 2
% 14.33/3.89 Id : 26049, {_}: product c (product a b) =<= product a (product b c) [] by Super 53 with 24967 at 2
% 14.33/3.89 Id : 26382, {_}: product (product ?40744 (product b c)) (product c (product a b)) =>= product (product ?40744 a) (product b c) [40744] by Super 52 with 26049 at 2,2
% 14.33/3.89 Id : 26473, {_}: product (product ?40744 c) (product (product b c) (product a b)) =>= product (product ?40744 a) (product b c) [40744] by Demod 26382 with 6 at 2
% 14.33/3.89 Id : 26474, {_}: product (product ?40744 c) (product (product b c) (product a b)) =>= product (product ?40744 b) (product a c) [40744] by Demod 26473 with 6 at 3
% 14.33/3.89 Id : 26475, {_}: product (product ?40744 c) (bigC b c a) =>= product (product ?40744 b) (product a c) [40744] by Demod 26474 with 9 at 2,2
% 14.33/3.89 Id : 20129, {_}: difference (product a b) (product c (product c b)) =>= c [] by Super 2 with 20055 at 2,2
% 14.33/3.89 Id : 2073, {_}: difference ?6229 (product ?6230 (product ?6229 ?6229)) =>= product (difference ?6229 ?6230) ?6229 [6230, 6229] by Super 300 with 1944 at 2,2
% 14.33/3.89 Id : 2135, {_}: difference ?6444 (product ?6445 ?6444) =<= product (difference ?6444 ?6445) ?6444 [6445, 6444] by Demod 2073 with 7 at 2,2,2
% 14.33/3.89 Id : 145, {_}: product (product (product a b) (product c b)) (product (product c b) (product (product c b) (product a c))) =>= product c b [] by Super 8 with 10 at 1,1,2
% 14.33/3.89 Id : 158, {_}: product (product (product a c) (product b b)) (product (product c b) (product (product c b) (product a c))) =>= product c b [] by Demod 145 with 6 at 1,2
% 14.33/3.89 Id : 159, {_}: product (product (product a c) (product b b)) (product (product c b) (bigC c b a)) =>= product c b [] by Demod 158 with 9 at 2,2,2
% 14.33/3.89 Id : 160, {_}: product (product (product a c) (product c b)) (product (product b b) (bigC c b a)) =>= product c b [] by Demod 159 with 6 at 2
% 14.33/3.89 Id : 161, {_}: product (product a b) (product (product b b) (bigC c b a)) =>= product c b [] by Demod 160 with 10 at 1,2
% 14.33/3.89 Id : 162, {_}: product (product a b) (product b (bigC c b a)) =>= product c b [] by Demod 161 with 7 at 1,2,2
% 14.33/3.89 Id : 513, {_}: difference (product a b) (product c b) =>= product b (bigC c b a) [] by Super 2 with 162 at 2,2
% 14.33/3.89 Id : 2142, {_}: difference (product a b) (product (product c b) (product a b)) =>= product (product b (bigC c b a)) (product a b) [] by Super 2135 with 513 at 1,3
% 14.33/3.89 Id : 2163, {_}: difference (product a b) (product (product c a) b) =<= product (product b (bigC c b a)) (product a b) [] by Demod 2142 with 52 at 2,2
% 14.33/3.89 Id : 2164, {_}: difference (product a b) (product (product c a) b) =<= product (product b a) (product (bigC c b a) b) [] by Demod 2163 with 6 at 3
% 14.33/3.89 Id : 2165, {_}: difference (product a b) (product (product c a) b) =>= bigC b a (bigC c b a) [] by Demod 2164 with 9 at 3
% 14.33/3.89 Id : 10562, {_}: difference (product a b) (product (product c a) b) =>= bigC b a c [] by Demod 2165 with 10515 at 3,3
% 14.33/3.89 Id : 10581, {_}: difference (product a b) (product c (product c b)) =>= bigC b a c [] by Demod 10562 with 10565 at 2,2
% 14.33/3.89 Id : 2265, {_}: product (product (product a c) ?6810) (product a b) =>= product (product a c) (product ?6810 (product c b)) [6810] by Super 2259 with 10 at 2,2
% 14.33/3.89 Id : 2439, {_}: product (product (product a c) a) (product ?7187 b) =>= product (product a c) (product ?7187 (product c b)) [7187] by Super 6 with 2265 at 3
% 14.33/3.89 Id : 3254, {_}: product (bigC a c a) (product ?8888 b) =<= product (product a c) (product ?8888 (product c b)) [8888] by Demod 2439 with 120 at 1,2
% 14.33/3.89 Id : 3266, {_}: product (bigC a c a) (product (product b ?8912) b) =>= product (product a c) (bigC b ?8912 c) [8912] by Super 3254 with 9 at 2,3
% 14.33/3.89 Id : 3296, {_}: product (bigC a c a) (bigC b ?8912 b) =>= product (product a c) (bigC b ?8912 c) [8912] by Demod 3266 with 120 at 2,2
% 14.33/3.89 Id : 588, {_}: product (product ?1628 ?1629) (product ?1630 (difference ?1629 ?1631)) =>= product (product ?1628 ?1630) ?1631 [1631, 1630, 1629, 1628] by Super 29 with 3 at 2,3
% 14.33/3.89 Id : 602, {_}: product ?1695 (product ?1696 (difference ?1695 ?1697)) =>= product (product ?1695 ?1696) ?1697 [1697, 1696, 1695] by Super 588 with 7 at 1,2
% 14.33/3.89 Id : 152, {_}: bigC (product c b) ?491 (product a c) =<= product (product (product c b) ?491) (product a b) [491] by Super 9 with 10 at 2,3
% 14.33/3.89 Id : 1017, {_}: bigC (product c b) (product ?2668 b) (product a c) =>= product (product (product c ?2668) b) (product a b) [2668] by Super 152 with 52 at 1,3
% 14.33/3.89 Id : 1114, {_}: bigC (product c b) (product ?2668 b) (product a c) =>= product (product (product c ?2668) a) b [2668] by Demod 1017 with 52 at 3
% 14.33/3.89 Id : 9062, {_}: difference (product c b) (product (product (product c c) a) b) =>= product (product a c) (product c b) [] by Super 300 with 1114 at 2,2
% 14.33/3.89 Id : 9075, {_}: difference (product c b) (product (product c a) b) =>= product (product a c) (product c b) [] by Demod 9062 with 7 at 1,1,2,2
% 14.33/3.89 Id : 9076, {_}: difference (product c b) (product (product c a) b) =>= product a b [] by Demod 9075 with 10 at 3
% 14.33/3.89 Id : 9089, {_}: product (product c b) (product ?22743 (product a b)) =<= product (product (product c b) ?22743) (product (product c a) b) [22743] by Super 602 with 9076 at 2,2,2
% 14.33/3.89 Id : 36, {_}: product (product (product ?126 ?127) ?128) (product (product ?129 ?130) ?131) =?= product (product (product ?126 ?129) (product ?127 ?130)) (product ?128 ?131) [131, 130, 129, 128, 127, 126] by Super 29 with 6 at 1,3
% 14.33/3.89 Id : 9092, {_}: product (product c b) (product ?22743 (product a b)) =<= product (product (product c c) (product b a)) (product ?22743 b) [22743] by Demod 9089 with 36 at 3
% 14.33/3.89 Id : 9093, {_}: product (product c b) (product ?22743 (product a b)) =<= product (product c (product b a)) (product ?22743 b) [22743] by Demod 9092 with 7 at 1,1,3
% 14.33/3.89 Id : 9269, {_}: difference (product c ?23118) (product (product c b) (product ?23118 (product a b))) =>= product (product b a) b [23118] by Super 27 with 9093 at 2,2
% 14.33/3.89 Id : 9393, {_}: product b (product a b) =<= product (product b a) b [] by Demod 9269 with 27 at 2
% 14.33/3.89 Id : 9394, {_}: product b (product a b) =>= bigC b a b [] by Demod 9393 with 120 at 3
% 14.33/3.89 Id : 9395, {_}: bigC b b a =<= bigC b a b [] by Demod 9394 with 127 at 2
% 14.33/3.89 Id : 9435, {_}: product (bigC a c a) (bigC b b a) =>= product (product a c) (bigC b a c) [] by Super 3296 with 9395 at 2,2
% 14.33/3.89 Id : 4829, {_}: product (bigC a c a) (bigC b ?13868 b) =>= product (product a c) (bigC b ?13868 c) [13868] by Demod 3266 with 120 at 2,2
% 14.33/3.89 Id : 4833, {_}: product (bigC a c a) (product (product b b) ?13875) =>= product (product a c) (bigC b (quotient ?13875 b) c) [13875] by Super 4829 with 780 at 2,2
% 14.33/3.89 Id : 4847, {_}: product (bigC a c a) (product b ?13875) =<= product (product a c) (bigC b (quotient ?13875 b) c) [13875] by Demod 4833 with 7 at 1,2,2
% 14.33/3.89 Id : 5778, {_}: product (bigC a c a) (product b ?16039) =<= product (product a c) (product (product b c) ?16039) [16039] by Demod 4847 with 780 at 2,3
% 14.33/3.89 Id : 5787, {_}: product (bigC a c a) (product b (product ?16060 b)) =>= product (product a c) (bigC b c ?16060) [16060] by Super 5778 with 9 at 2,3
% 14.33/3.89 Id : 5821, {_}: product (bigC a c a) (bigC b b ?16060) =>= product (product a c) (bigC b c ?16060) [16060] by Demod 5787 with 127 at 2,2
% 14.33/3.89 Id : 9442, {_}: product (product a c) (bigC b c a) =<= product (product a c) (bigC b a c) [] by Demod 9435 with 5821 at 2
% 14.33/3.89 Id : 9544, {_}: difference (product a c) (product (product a c) (bigC b c a)) =>= bigC b a c [] by Super 2 with 9442 at 2,2
% 14.33/3.89 Id : 9587, {_}: bigC b c a =<= bigC b a c [] by Demod 9544 with 2 at 2
% 14.33/3.89 Id : 10582, {_}: difference (product a b) (product c (product c b)) =>= bigC b c a [] by Demod 10581 with 9587 at 3
% 14.33/3.89 Id : 20237, {_}: bigC b c a =>= c [] by Demod 20129 with 10582 at 2
% 14.33/3.89 Id : 26476, {_}: product (product ?40744 c) c =<= product (product ?40744 b) (product a c) [40744] by Demod 26475 with 20237 at 2,2
% 14.33/3.89 Id : 26051, {_}: product c (product (difference a ?40420) b) =>= product ?40420 (product b c) [40420] by Super 34 with 24967 at 2
% 14.33/3.89 Id : 26966, {_}: difference c (product ?41250 (product b c)) =>= product (difference a ?41250) b [41250] by Super 2 with 26051 at 2,2
% 14.33/3.89 Id : 28885, {_}: product (difference a c) b =>= product b c [] by Super 2 with 26966 at 2
% 14.33/3.89 Id : 28928, {_}: product (product (difference a c) c) c =>= product (product b c) (product a c) [] by Super 26476 with 28885 at 1,3
% 14.33/3.89 Id : 29081, {_}: product (product (difference a c) c) c =>= product (product b a) c [] by Demod 28928 with 52 at 3
% 14.33/3.89 Id : 33920, {_}: quotient (product (product b a) c) c =>= product (difference a c) c [] by Super 4 with 29081 at 1,2
% 14.33/3.89 Id : 34048, {_}: product b a =<= product (difference a c) c [] by Demod 33920 with 4 at 2
% 14.33/3.89 Id : 34132, {_}: product (product a ?46908) (product b a) =>= product c (product ?46908 c) [46908] by Super 34 with 34048 at 2,2
% 14.33/3.89 Id : 34216, {_}: bigC a ?46908 b =<= product c (product ?46908 c) [46908] by Demod 34132 with 9 at 2
% 14.33/3.89 Id : 34217, {_}: bigC a ?46908 b =>= bigC c c ?46908 [46908] by Demod 34216 with 127 at 3
% 14.33/3.89 Id : 35158, {_}: bigC c c (quotient ?47821 a) =>= product (product a b) ?47821 [47821] by Super 780 with 34217 at 2
% 14.33/3.89 Id : 35159, {_}: bigC c c ?47823 =<= product (product a b) (product ?47823 a) [47823] by Super 35158 with 4 at 3,2
% 14.33/3.89 Id : 35166, {_}: bigC c c ?47823 =<= bigC a b ?47823 [47823] by Demod 35159 with 9 at 3
% 14.33/3.89 Id : 35191, {_}: bigC c c x0 === bigC c c x0 [] by Demod 1 with 35166 at 2
% 14.33/3.89 Id : 1, {_}: bigC a b x0 =>= bigC c c x0 [] by goal
% 14.33/3.89 % SZS output end CNFRefutation for theBenchmark.p
% 14.33/3.89 21097: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 3.550488 using nrkbo
%------------------------------------------------------------------------------