TSTP Solution File: GRP683-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP683-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n005.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 10:31:35 EDT 2022
% Result : Unsatisfiable 2.13s 0.87s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP683-10 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 15:05:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 12403: Facts:
% 0.14/0.35 12403: Id : 2, {_}: ld ?2 (mult ?2 ?2) =>= ?2 [2] by f01 ?2
% 0.14/0.35 12403: Id : 3, {_}: rd (mult ?4 ?4) ?4 =>= ?4 [4] by f02 ?4
% 0.14/0.35 12403: Id : 4, {_}: mult ?6 (ld ?6 ?7) =>= ld ?6 (mult ?6 ?7) [7, 6] by f03 ?6 ?7
% 0.14/0.35 12403: Id : 5, {_}:
% 0.14/0.35 mult (rd ?9 ?10) ?10 =>= rd (mult ?9 ?10) ?10
% 0.14/0.35 [10, 9] by f04 ?9 ?10
% 0.14/0.35 12403: Id : 6, {_}:
% 0.14/0.35 ld (ld ?12 ?13) (mult (ld ?12 ?13) (mult ?14 ?15))
% 0.14/0.35 =>=
% 0.14/0.35 mult (ld ?12 (mult ?12 ?14)) ?15
% 0.14/0.35 [15, 14, 13, 12] by f05 ?12 ?13 ?14 ?15
% 0.14/0.35 12403: Id : 7, {_}:
% 0.14/0.35 rd (mult (mult ?17 ?18) (rd ?19 ?20)) (rd ?19 ?20)
% 0.14/0.35 =>=
% 0.14/0.35 mult ?17 (rd (mult ?18 ?20) ?20)
% 0.14/0.35 [20, 19, 18, 17] by f06 ?17 ?18 ?19 ?20
% 0.14/0.35 12403: Id : 8, {_}:
% 0.14/0.35 ld ?22 (mult ?22 (ld ?23 ?23)) =>= rd (mult (rd ?22 ?22) ?23) ?23
% 0.14/0.35 [23, 22] by f07 ?22 ?23
% 0.14/0.35 12403: Goal:
% 0.14/0.35 12403: Id : 1, {_}: mult x3 (ld x4 (mult x4 x5)) =>= mult x3 x5 [] by goal
% 2.13/0.87 Statistics :
% 2.13/0.87 Max weight : 40
% 2.13/0.87 Found proof, 0.512381s
% 2.13/0.87 % SZS status Unsatisfiable for theBenchmark.p
% 2.13/0.87 % SZS output start CNFRefutation for theBenchmark.p
% 2.13/0.87 Id : 7, {_}: rd (mult (mult ?17 ?18) (rd ?19 ?20)) (rd ?19 ?20) =>= mult ?17 (rd (mult ?18 ?20) ?20) [20, 19, 18, 17] by f06 ?17 ?18 ?19 ?20
% 2.13/0.87 Id : 35, {_}: rd (mult (mult ?100 ?101) (rd ?102 ?103)) (rd ?102 ?103) =>= mult ?100 (rd (mult ?101 ?103) ?103) [103, 102, 101, 100] by f06 ?100 ?101 ?102 ?103
% 2.13/0.87 Id : 3, {_}: rd (mult ?4 ?4) ?4 =>= ?4 [4] by f02 ?4
% 2.13/0.87 Id : 53, {_}: ld ?156 (mult ?156 (ld ?157 ?157)) =>= rd (mult (rd ?156 ?156) ?157) ?157 [157, 156] by f07 ?156 ?157
% 2.13/0.87 Id : 8, {_}: ld ?22 (mult ?22 (ld ?23 ?23)) =>= rd (mult (rd ?22 ?22) ?23) ?23 [23, 22] by f07 ?22 ?23
% 2.13/0.87 Id : 2, {_}: ld ?2 (mult ?2 ?2) =>= ?2 [2] by f01 ?2
% 2.13/0.87 Id : 20, {_}: ld (ld ?54 ?55) (mult (ld ?54 ?55) (mult ?56 ?57)) =>= mult (ld ?54 (mult ?54 ?56)) ?57 [57, 56, 55, 54] by f05 ?54 ?55 ?56 ?57
% 2.13/0.87 Id : 5, {_}: mult (rd ?9 ?10) ?10 =>= rd (mult ?9 ?10) ?10 [10, 9] by f04 ?9 ?10
% 2.13/0.87 Id : 4, {_}: mult ?6 (ld ?6 ?7) =>= ld ?6 (mult ?6 ?7) [7, 6] by f03 ?6 ?7
% 2.13/0.87 Id : 23, {_}: ld (ld ?69 (mult ?69 ?69)) (mult ?69 (mult ?70 ?71)) =>= mult (ld ?69 (mult ?69 ?70)) ?71 [71, 70, 69] by Super 20 with 2 at 1,2,2
% 2.13/0.87 Id : 115, {_}: ld ?283 (mult ?283 (mult ?284 ?285)) =<= mult (ld ?283 (mult ?283 ?284)) ?285 [285, 284, 283] by Demod 23 with 2 at 1,2
% 2.13/0.87 Id : 54, {_}: ld ?159 (ld ?159 (mult ?159 ?159)) =>= rd (mult (rd ?159 ?159) ?159) ?159 [159] by Super 53 with 4 at 2,2
% 2.13/0.87 Id : 60, {_}: ld ?159 ?159 =<= rd (mult (rd ?159 ?159) ?159) ?159 [159] by Demod 54 with 2 at 2,2
% 2.13/0.87 Id : 61, {_}: ld ?159 ?159 =<= rd (rd (mult ?159 ?159) ?159) ?159 [159] by Demod 60 with 5 at 1,3
% 2.13/0.87 Id : 62, {_}: ld ?159 ?159 =>= rd ?159 ?159 [159] by Demod 61 with 3 at 1,3
% 2.13/0.87 Id : 63, {_}: ld ?22 (mult ?22 (rd ?23 ?23)) =>= rd (mult (rd ?22 ?22) ?23) ?23 [23, 22] by Demod 8 with 62 at 2,2,2
% 2.13/0.87 Id : 121, {_}: ld ?306 (mult ?306 (mult (rd ?307 ?307) ?308)) =<= mult (rd (mult (rd ?306 ?306) ?307) ?307) ?308 [308, 307, 306] by Super 115 with 63 at 1,3
% 2.13/0.87 Id : 640, {_}: ld ?1149 (mult ?1149 (mult (rd ?1150 ?1150) ?1150)) =>= rd (mult (mult (rd ?1149 ?1149) ?1150) ?1150) ?1150 [1150, 1149] by Super 5 with 121 at 2
% 2.13/0.87 Id : 683, {_}: ld ?1149 (mult ?1149 (rd (mult ?1150 ?1150) ?1150)) =>= rd (mult (mult (rd ?1149 ?1149) ?1150) ?1150) ?1150 [1150, 1149] by Demod 640 with 5 at 2,2,2
% 2.13/0.87 Id : 36, {_}: rd (mult (mult ?105 ?106) (rd (mult ?107 ?107) ?107)) ?107 =>= mult ?105 (rd (mult ?106 ?107) ?107) [107, 106, 105] by Super 35 with 3 at 2,2
% 2.13/0.87 Id : 244, {_}: rd (mult (mult ?540 ?541) ?542) ?542 =<= mult ?540 (rd (mult ?541 ?542) ?542) [542, 541, 540] by Demod 36 with 3 at 2,1,2
% 2.13/0.87 Id : 250, {_}: rd (mult (mult ?565 ?566) ?566) ?566 =>= mult ?565 ?566 [566, 565] by Super 244 with 3 at 2,3
% 2.13/0.87 Id : 684, {_}: ld ?1149 (mult ?1149 (rd (mult ?1150 ?1150) ?1150)) =>= mult (rd ?1149 ?1149) ?1150 [1150, 1149] by Demod 683 with 250 at 3
% 2.13/0.87 Id : 45, {_}: rd (mult (mult ?105 ?106) ?107) ?107 =<= mult ?105 (rd (mult ?106 ?107) ?107) [107, 106, 105] by Demod 36 with 3 at 2,1,2
% 2.13/0.87 Id : 685, {_}: ld ?1149 (rd (mult (mult ?1149 ?1150) ?1150) ?1150) =>= mult (rd ?1149 ?1149) ?1150 [1150, 1149] by Demod 684 with 45 at 2,2
% 2.13/0.87 Id : 686, {_}: ld ?1149 (mult ?1149 ?1150) =<= mult (rd ?1149 ?1149) ?1150 [1150, 1149] by Demod 685 with 250 at 2,2
% 2.13/0.87 Id : 40, {_}: rd (mult (ld ?127 (mult ?127 ?128)) (rd ?129 ?130)) (rd ?129 ?130) =>= mult ?127 (rd (mult (ld ?127 ?128) ?130) ?130) [130, 129, 128, 127] by Super 35 with 4 at 1,1,2
% 2.13/0.87 Id : 30, {_}: ld ?69 (mult ?69 (mult ?70 ?71)) =<= mult (ld ?69 (mult ?69 ?70)) ?71 [71, 70, 69] by Demod 23 with 2 at 1,2
% 2.13/0.87 Id : 1461, {_}: rd (ld ?127 (mult ?127 (mult ?128 (rd ?129 ?130)))) (rd ?129 ?130) =>= mult ?127 (rd (mult (ld ?127 ?128) ?130) ?130) [130, 129, 128, 127] by Demod 40 with 30 at 1,2
% 2.13/0.87 Id : 1462, {_}: rd (ld ?127 (mult ?127 (mult ?128 (rd ?129 ?130)))) (rd ?129 ?130) =>= rd (mult (mult ?127 (ld ?127 ?128)) ?130) ?130 [130, 129, 128, 127] by Demod 1461 with 45 at 3
% 2.13/0.87 Id : 1463, {_}: rd (ld ?127 (mult ?127 (mult ?128 (rd ?129 ?130)))) (rd ?129 ?130) =>= rd (mult (ld ?127 (mult ?127 ?128)) ?130) ?130 [130, 129, 128, 127] by Demod 1462 with 4 at 1,1,3
% 2.13/0.87 Id : 1469, {_}: rd (ld ?2392 (mult ?2392 (mult ?2393 (rd ?2394 ?2395)))) (rd ?2394 ?2395) =>= rd (ld ?2392 (mult ?2392 (mult ?2393 ?2395))) ?2395 [2395, 2394, 2393, 2392] by Demod 1463 with 30 at 1,3
% 2.13/0.87 Id : 120, {_}: ld ?303 (mult ?303 (mult ?303 ?304)) =>= mult ?303 ?304 [304, 303] by Super 115 with 2 at 1,3
% 2.13/0.87 Id : 1498, {_}: rd (mult ?2545 (rd ?2546 ?2547)) (rd ?2546 ?2547) =?= rd (ld ?2545 (mult ?2545 (mult ?2545 ?2547))) ?2547 [2547, 2546, 2545] by Super 1469 with 120 at 1,2
% 2.13/0.87 Id : 1563, {_}: rd (mult ?2545 (rd ?2546 ?2547)) (rd ?2546 ?2547) =>= rd (mult ?2545 ?2547) ?2547 [2547, 2546, 2545] by Demod 1498 with 120 at 1,3
% 2.13/0.87 Id : 51, {_}: mult ?151 (rd (mult (rd ?151 ?151) ?152) ?152) =>= ld ?151 (mult ?151 (mult ?151 (ld ?152 ?152))) [152, 151] by Super 4 with 8 at 2,2
% 2.13/0.87 Id : 463, {_}: rd (mult (mult ?151 (rd ?151 ?151)) ?152) ?152 =<= ld ?151 (mult ?151 (mult ?151 (ld ?152 ?152))) [152, 151] by Demod 51 with 45 at 2
% 2.13/0.87 Id : 464, {_}: rd (mult (mult ?151 (rd ?151 ?151)) ?152) ?152 =>= mult ?151 (ld ?152 ?152) [152, 151] by Demod 463 with 120 at 3
% 2.13/0.87 Id : 66, {_}: mult ?177 (rd ?177 ?177) =>= ld ?177 (mult ?177 ?177) [177] by Super 4 with 62 at 2,2
% 2.13/0.87 Id : 69, {_}: mult ?177 (rd ?177 ?177) =>= ?177 [177] by Demod 66 with 2 at 3
% 2.13/0.87 Id : 465, {_}: rd (mult ?151 ?152) ?152 =<= mult ?151 (ld ?152 ?152) [152, 151] by Demod 464 with 69 at 1,1,2
% 2.13/0.87 Id : 466, {_}: rd (mult ?151 ?152) ?152 =<= mult ?151 (rd ?152 ?152) [152, 151] by Demod 465 with 62 at 2,3
% 2.13/0.87 Id : 471, {_}: rd (mult (rd (mult ?893 ?894) ?894) (rd ?894 ?894)) (rd ?894 ?894) =>= mult ?893 (rd ?894 ?894) [894, 893] by Super 250 with 466 at 1,1,2
% 2.13/0.87 Id : 516, {_}: rd (rd (mult (rd (mult ?893 ?894) ?894) ?894) ?894) (rd ?894 ?894) =>= mult ?893 (rd ?894 ?894) [894, 893] by Demod 471 with 466 at 1,2
% 2.13/0.87 Id : 517, {_}: rd (rd (mult (rd (mult ?893 ?894) ?894) ?894) ?894) (rd ?894 ?894) =>= rd (mult ?893 ?894) ?894 [894, 893] by Demod 516 with 466 at 3
% 2.13/0.87 Id : 518, {_}: rd (rd (rd (mult (mult ?893 ?894) ?894) ?894) ?894) (rd ?894 ?894) =>= rd (mult ?893 ?894) ?894 [894, 893] by Demod 517 with 5 at 1,1,2
% 2.13/0.87 Id : 1893, {_}: rd (rd (mult ?2998 ?2999) ?2999) (rd ?2999 ?2999) =>= rd (mult ?2998 ?2999) ?2999 [2999, 2998] by Demod 518 with 250 at 1,1,2
% 2.13/0.87 Id : 481, {_}: rd (rd (mult (rd ?933 ?933) ?933) ?933) (rd ?933 ?933) =>= rd ?933 ?933 [933] by Super 3 with 466 at 1,2
% 2.13/0.87 Id : 495, {_}: rd (rd (rd (mult ?933 ?933) ?933) ?933) (rd ?933 ?933) =>= rd ?933 ?933 [933] by Demod 481 with 5 at 1,1,2
% 2.13/0.87 Id : 496, {_}: rd (rd ?933 ?933) (rd ?933 ?933) =>= rd ?933 ?933 [933] by Demod 495 with 3 at 1,1,2
% 2.13/0.87 Id : 1894, {_}: rd (rd (mult ?3001 (rd ?3002 ?3002)) (rd ?3002 ?3002)) (rd ?3002 ?3002) =>= rd (mult ?3001 (rd ?3002 ?3002)) (rd ?3002 ?3002) [3002, 3001] by Super 1893 with 496 at 2,2
% 2.13/0.87 Id : 483, {_}: ld ?937 (mult ?937 (rd (mult ?937 ?938) ?938)) =>= mult ?937 (rd ?938 ?938) [938, 937] by Super 120 with 466 at 2,2,2
% 2.13/0.87 Id : 492, {_}: ld ?937 (rd (mult (mult ?937 ?937) ?938) ?938) =>= mult ?937 (rd ?938 ?938) [938, 937] by Demod 483 with 45 at 2,2
% 2.13/0.87 Id : 1579, {_}: ld ?2603 (rd (mult (mult ?2603 ?2603) ?2604) ?2604) =>= rd (mult ?2603 ?2604) ?2604 [2604, 2603] by Demod 492 with 466 at 3
% 2.13/0.87 Id : 231, {_}: rd (mult (mult ?17 ?18) (rd ?19 ?20)) (rd ?19 ?20) =>= rd (mult (mult ?17 ?18) ?20) ?20 [20, 19, 18, 17] by Demod 7 with 45 at 3
% 2.13/0.87 Id : 326, {_}: mult ?670 (rd ?671 ?672) =<= rd (mult (mult ?670 (rd ?671 ?672)) ?672) ?672 [672, 671, 670] by Super 231 with 250 at 2
% 2.13/0.87 Id : 1595, {_}: ld (rd ?2658 ?2659) (mult (rd ?2658 ?2659) (rd ?2658 ?2659)) =>= rd (mult (rd ?2658 ?2659) ?2659) ?2659 [2659, 2658] by Super 1579 with 326 at 2,2
% 2.13/0.87 Id : 1635, {_}: rd ?2658 ?2659 =<= rd (mult (rd ?2658 ?2659) ?2659) ?2659 [2659, 2658] by Demod 1595 with 2 at 2
% 2.13/0.87 Id : 1636, {_}: rd ?2658 ?2659 =<= rd (rd (mult ?2658 ?2659) ?2659) ?2659 [2659, 2658] by Demod 1635 with 5 at 1,3
% 2.13/0.87 Id : 1936, {_}: rd ?3001 (rd ?3002 ?3002) =<= rd (mult ?3001 (rd ?3002 ?3002)) (rd ?3002 ?3002) [3002, 3001] by Demod 1894 with 1636 at 2
% 2.13/0.87 Id : 1937, {_}: rd ?3001 (rd ?3002 ?3002) =<= rd (rd (mult ?3001 ?3002) ?3002) (rd ?3002 ?3002) [3002, 3001] by Demod 1936 with 466 at 1,3
% 2.13/0.87 Id : 519, {_}: rd (rd (mult ?893 ?894) ?894) (rd ?894 ?894) =>= rd (mult ?893 ?894) ?894 [894, 893] by Demod 518 with 250 at 1,1,2
% 2.13/0.87 Id : 1938, {_}: rd ?3001 (rd ?3002 ?3002) =<= rd (mult ?3001 ?3002) ?3002 [3002, 3001] by Demod 1937 with 519 at 3
% 2.13/0.87 Id : 4227, {_}: rd ?2545 (rd (rd ?2546 ?2547) (rd ?2546 ?2547)) =>= rd (mult ?2545 ?2547) ?2547 [2547, 2546, 2545] by Demod 1563 with 1938 at 2
% 2.13/0.87 Id : 4273, {_}: rd ?5825 (rd (rd ?5826 ?5827) (rd ?5826 ?5827)) =>= rd ?5825 (rd ?5827 ?5827) [5827, 5826, 5825] by Demod 4227 with 1938 at 3
% 2.13/0.87 Id : 1967, {_}: rd (mult ?565 ?566) (rd ?566 ?566) =>= mult ?565 ?566 [566, 565] by Demod 250 with 1938 at 2
% 2.13/0.87 Id : 4279, {_}: rd ?5850 (rd (rd (mult ?5851 ?5852) (rd ?5852 ?5852)) (mult ?5851 ?5852)) =>= rd ?5850 (rd (rd ?5852 ?5852) (rd ?5852 ?5852)) [5852, 5851, 5850] by Super 4273 with 1967 at 2,2,2
% 2.13/0.87 Id : 4462, {_}: rd ?5850 (rd (mult ?5851 ?5852) (mult ?5851 ?5852)) =?= rd ?5850 (rd (rd ?5852 ?5852) (rd ?5852 ?5852)) [5852, 5851, 5850] by Demod 4279 with 1967 at 1,2,2
% 2.13/0.87 Id : 4228, {_}: rd ?2545 (rd (rd ?2546 ?2547) (rd ?2546 ?2547)) =>= rd ?2545 (rd ?2547 ?2547) [2547, 2546, 2545] by Demod 4227 with 1938 at 3
% 2.13/0.87 Id : 4463, {_}: rd ?5850 (rd (mult ?5851 ?5852) (mult ?5851 ?5852)) =>= rd ?5850 (rd ?5852 ?5852) [5852, 5851, 5850] by Demod 4462 with 4228 at 3
% 2.13/0.87 Id : 6561, {_}: ld (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) (mult (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) ?8276) =>= mult (rd (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) (rd ?8275 ?8275)) ?8276 [8276, 8275, 8274] by Super 686 with 4463 at 1,3
% 2.13/0.87 Id : 736, {_}: ld (rd ?1299 ?1299) (mult (rd ?1299 ?1299) (ld ?1299 (mult ?1299 ?1300))) =>= mult (rd ?1299 ?1299) ?1300 [1300, 1299] by Super 120 with 686 at 2,2,2
% 2.13/0.87 Id : 747, {_}: ld (rd ?1299 ?1299) (ld ?1299 (mult ?1299 (ld ?1299 (mult ?1299 ?1300)))) =>= mult (rd ?1299 ?1299) ?1300 [1300, 1299] by Demod 736 with 686 at 2,2
% 2.13/0.87 Id : 748, {_}: ld (rd ?1299 ?1299) (ld ?1299 (mult ?1299 (ld ?1299 (mult ?1299 ?1300)))) =>= ld ?1299 (mult ?1299 ?1300) [1300, 1299] by Demod 747 with 686 at 3
% 2.13/0.87 Id : 749, {_}: ld (rd ?1299 ?1299) (ld ?1299 (ld ?1299 (mult ?1299 (mult ?1299 ?1300)))) =>= ld ?1299 (mult ?1299 ?1300) [1300, 1299] by Demod 748 with 4 at 2,2,2
% 2.13/0.87 Id : 2762, {_}: ld (rd ?3923 ?3923) (ld ?3923 (mult ?3923 ?3924)) =>= ld ?3923 (mult ?3923 ?3924) [3924, 3923] by Demod 749 with 120 at 2,2,2
% 2.13/0.87 Id : 1896, {_}: rd (rd (rd (mult ?3007 ?3008) ?3008) ?3008) (rd ?3008 ?3008) =>= rd (mult (rd ?3007 ?3008) ?3008) ?3008 [3008, 3007] by Super 1893 with 5 at 1,1,2
% 2.13/0.87 Id : 1940, {_}: rd (rd ?3007 ?3008) (rd ?3008 ?3008) =<= rd (mult (rd ?3007 ?3008) ?3008) ?3008 [3008, 3007] by Demod 1896 with 1636 at 1,2
% 2.13/0.87 Id : 1941, {_}: rd (rd ?3007 ?3008) (rd ?3008 ?3008) =<= rd (rd (mult ?3007 ?3008) ?3008) ?3008 [3008, 3007] by Demod 1940 with 5 at 1,3
% 2.13/0.87 Id : 1942, {_}: rd (rd ?3007 ?3008) (rd ?3008 ?3008) =>= rd ?3007 ?3008 [3008, 3007] by Demod 1941 with 1636 at 3
% 2.13/0.87 Id : 2777, {_}: ld (rd ?3975 ?3975) (ld (rd ?3975 ?3975) (mult (rd ?3975 ?3975) ?3976)) =>= ld (rd ?3975 ?3975) (mult (rd ?3975 ?3975) ?3976) [3976, 3975] by Super 2762 with 1942 at 1,2
% 2.13/0.87 Id : 21, {_}: ld (ld ?59 ?60) (mult (ld ?59 ?60) (ld ?61 (mult ?61 ?62))) =>= mult (ld ?59 (mult ?59 ?61)) (ld ?61 ?62) [62, 61, 60, 59] by Super 20 with 4 at 2,2,2
% 2.13/0.87 Id : 142, {_}: ld (ld ?59 ?60) (mult (ld ?59 ?60) (ld ?61 (mult ?61 ?62))) =>= ld ?59 (mult ?59 (mult ?61 (ld ?61 ?62))) [62, 61, 60, 59] by Demod 21 with 30 at 3
% 2.13/0.87 Id : 149, {_}: ld (ld ?358 ?359) (mult (ld ?358 ?359) (ld ?360 (mult ?360 ?361))) =>= ld ?358 (mult ?358 (ld ?360 (mult ?360 ?361))) [361, 360, 359, 358] by Demod 142 with 4 at 2,2,3
% 2.13/0.87 Id : 154, {_}: ld (ld ?383 ?384) (mult (ld ?383 ?384) ?385) =?= ld ?383 (mult ?383 (ld ?385 (mult ?385 ?385))) [385, 384, 383] by Super 149 with 2 at 2,2,2
% 2.13/0.87 Id : 198, {_}: ld (ld ?383 ?384) (mult (ld ?383 ?384) ?385) =>= ld ?383 (mult ?383 ?385) [385, 384, 383] by Demod 154 with 2 at 2,2,3
% 2.13/0.87 Id : 974, {_}: ld ?1590 (mult ?1590 (ld ?1590 ?1591)) =>= ld ?1590 ?1591 [1591, 1590] by Super 2 with 198 at 2
% 2.13/0.87 Id : 1015, {_}: ld ?1590 (ld ?1590 (mult ?1590 ?1591)) =>= ld ?1590 ?1591 [1591, 1590] by Demod 974 with 4 at 2,2
% 2.13/0.87 Id : 2836, {_}: ld (rd ?3975 ?3975) ?3976 =<= ld (rd ?3975 ?3975) (mult (rd ?3975 ?3975) ?3976) [3976, 3975] by Demod 2777 with 1015 at 2
% 2.13/0.87 Id : 2837, {_}: ld (rd ?3975 ?3975) ?3976 =<= ld (rd ?3975 ?3975) (ld ?3975 (mult ?3975 ?3976)) [3976, 3975] by Demod 2836 with 686 at 2,3
% 2.13/0.87 Id : 750, {_}: ld (rd ?1299 ?1299) (ld ?1299 (mult ?1299 ?1300)) =>= ld ?1299 (mult ?1299 ?1300) [1300, 1299] by Demod 749 with 120 at 2,2,2
% 2.13/0.87 Id : 2838, {_}: ld (rd ?3975 ?3975) ?3976 =>= ld ?3975 (mult ?3975 ?3976) [3976, 3975] by Demod 2837 with 750 at 3
% 2.13/0.87 Id : 6685, {_}: ld (mult ?8274 ?8275) (mult (mult ?8274 ?8275) (mult (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) ?8276)) =>= mult (rd (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) (rd ?8275 ?8275)) ?8276 [8276, 8275, 8274] by Demod 6561 with 2838 at 2
% 2.13/0.87 Id : 719, {_}: ld ?306 (mult ?306 (ld ?307 (mult ?307 ?308))) =<= mult (rd (mult (rd ?306 ?306) ?307) ?307) ?308 [308, 307, 306] by Demod 121 with 686 at 2,2,2
% 2.13/0.87 Id : 720, {_}: ld ?306 (mult ?306 (ld ?307 (mult ?307 ?308))) =<= mult (rd (ld ?306 (mult ?306 ?307)) ?307) ?308 [308, 307, 306] by Demod 719 with 686 at 1,1,3
% 2.13/0.87 Id : 1972, {_}: mult (rd ?9 ?10) ?10 =>= rd ?9 (rd ?10 ?10) [10, 9] by Demod 5 with 1938 at 3
% 2.13/0.87 Id : 1646, {_}: rd ?2695 ?2696 =<= rd (rd (mult ?2695 ?2696) ?2696) ?2696 [2696, 2695] by Demod 1635 with 5 at 1,3
% 2.13/0.87 Id : 1653, {_}: rd (rd ?2720 ?2720) ?2721 =<= rd (rd (ld ?2720 (mult ?2720 ?2721)) ?2721) ?2721 [2721, 2720] by Super 1646 with 686 at 1,1,3
% 2.13/0.87 Id : 4800, {_}: mult (rd (rd ?6212 ?6212) ?6213) ?6213 =<= rd (rd (ld ?6212 (mult ?6212 ?6213)) ?6213) (rd ?6213 ?6213) [6213, 6212] by Super 1972 with 1653 at 1,2
% 2.13/0.87 Id : 4856, {_}: rd (rd ?6212 ?6212) (rd ?6213 ?6213) =<= rd (rd (ld ?6212 (mult ?6212 ?6213)) ?6213) (rd ?6213 ?6213) [6213, 6212] by Demod 4800 with 1972 at 2
% 2.13/0.87 Id : 4857, {_}: rd (rd ?6212 ?6212) (rd ?6213 ?6213) =<= rd (ld ?6212 (mult ?6212 ?6213)) ?6213 [6213, 6212] by Demod 4856 with 1942 at 3
% 2.13/0.87 Id : 4928, {_}: ld ?306 (mult ?306 (ld ?307 (mult ?307 ?308))) =<= mult (rd (rd ?306 ?306) (rd ?307 ?307)) ?308 [308, 307, 306] by Demod 720 with 4857 at 1,3
% 2.13/0.87 Id : 6686, {_}: ld (mult ?8274 ?8275) (mult (mult ?8274 ?8275) (mult (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) ?8276)) =>= ld (mult ?8274 ?8275) (mult (mult ?8274 ?8275) (ld ?8275 (mult ?8275 ?8276))) [8276, 8275, 8274] by Demod 6685 with 4928 at 3
% 2.13/0.87 Id : 980, {_}: ld (ld ?1620 ?1621) (mult (ld ?1620 ?1621) ?1622) =>= ld ?1620 (mult ?1620 ?1622) [1622, 1621, 1620] by Demod 154 with 2 at 2,2,3
% 2.13/0.87 Id : 983, {_}: ld (ld ?1630 (mult ?1630 (mult ?1630 ?1631))) (mult (mult ?1630 ?1631) ?1632) =>= ld ?1630 (mult ?1630 ?1632) [1632, 1631, 1630] by Super 980 with 120 at 1,2,2
% 2.13/0.87 Id : 1028, {_}: ld (mult ?1630 ?1631) (mult (mult ?1630 ?1631) ?1632) =>= ld ?1630 (mult ?1630 ?1632) [1632, 1631, 1630] by Demod 983 with 120 at 1,2
% 2.13/0.87 Id : 6687, {_}: ld ?8274 (mult ?8274 (mult (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) ?8276)) =?= ld (mult ?8274 ?8275) (mult (mult ?8274 ?8275) (ld ?8275 (mult ?8275 ?8276))) [8276, 8275, 8274] by Demod 6686 with 1028 at 2
% 2.13/0.87 Id : 6688, {_}: ld ?8274 (mult ?8274 (mult (rd (mult ?8274 ?8275) (mult ?8274 ?8275)) ?8276)) =>= ld ?8274 (mult ?8274 (ld ?8275 (mult ?8275 ?8276))) [8276, 8275, 8274] by Demod 6687 with 1028 at 3
% 2.13/0.87 Id : 6689, {_}: ld ?8274 (mult ?8274 (ld (mult ?8274 ?8275) (mult (mult ?8274 ?8275) ?8276))) =>= ld ?8274 (mult ?8274 (ld ?8275 (mult ?8275 ?8276))) [8276, 8275, 8274] by Demod 6688 with 686 at 2,2,2
% 2.13/0.87 Id : 3731, {_}: ld (mult ?4999 ?5000) (mult (mult ?4999 ?5000) ?5001) =>= ld ?4999 (mult ?4999 ?5001) [5001, 5000, 4999] by Demod 983 with 120 at 1,2
% 2.13/0.87 Id : 3743, {_}: ld (mult ?5054 ?5055) (ld (mult ?5054 ?5055) (mult (mult ?5054 ?5055) ?5056)) =>= ld ?5054 (mult ?5054 (ld (mult ?5054 ?5055) ?5056)) [5056, 5055, 5054] by Super 3731 with 4 at 2,2
% 2.13/0.87 Id : 3818, {_}: ld (mult ?5054 ?5055) ?5056 =<= ld ?5054 (mult ?5054 (ld (mult ?5054 ?5055) ?5056)) [5056, 5055, 5054] by Demod 3743 with 1015 at 2
% 2.13/0.87 Id : 6690, {_}: ld (mult ?8274 ?8275) (mult (mult ?8274 ?8275) ?8276) =>= ld ?8274 (mult ?8274 (ld ?8275 (mult ?8275 ?8276))) [8276, 8275, 8274] by Demod 6689 with 3818 at 2
% 2.13/0.87 Id : 6691, {_}: ld ?8274 (mult ?8274 ?8276) =<= ld ?8274 (mult ?8274 (ld ?8275 (mult ?8275 ?8276))) [8275, 8276, 8274] by Demod 6690 with 1028 at 2
% 2.13/0.87 Id : 9084, {_}: mult ?11009 (ld ?11009 (mult ?11009 ?11010)) =<= ld ?11009 (mult ?11009 (mult ?11009 (ld ?11011 (mult ?11011 ?11010)))) [11011, 11010, 11009] by Super 4 with 6691 at 2,2
% 2.13/0.87 Id : 9164, {_}: ld ?11009 (mult ?11009 (mult ?11009 ?11010)) =<= ld ?11009 (mult ?11009 (mult ?11009 (ld ?11011 (mult ?11011 ?11010)))) [11011, 11010, 11009] by Demod 9084 with 4 at 2
% 2.13/0.87 Id : 9165, {_}: ld ?11009 (mult ?11009 (mult ?11009 ?11010)) =?= mult ?11009 (ld ?11011 (mult ?11011 ?11010)) [11011, 11010, 11009] by Demod 9164 with 120 at 3
% 2.13/0.87 Id : 9166, {_}: mult ?11009 ?11010 =<= mult ?11009 (ld ?11011 (mult ?11011 ?11010)) [11011, 11010, 11009] by Demod 9165 with 120 at 2
% 2.13/0.87 Id : 9494, {_}: mult x3 x5 =?= mult x3 x5 [] by Demod 1 with 9166 at 2
% 2.13/0.87 Id : 1, {_}: mult x3 (ld x4 (mult x4 x5)) =>= mult x3 x5 [] by goal
% 2.13/0.87 % SZS output end CNFRefutation for theBenchmark.p
% 2.13/0.87 12404: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.517615 using kbo
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