TSTP Solution File: GRP685-11 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP685-11 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n032.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 10:31:36 EDT 2022

% Result   : Unsatisfiable 0.14s 0.44s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GRP685-11 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.10  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Tue Jun 14 11:56:42 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.10/0.30  6818: Facts:
% 0.10/0.30  6818:  Id :   2, {_}: ld ?2 (mult ?2 ?2) =>= ?2 [2] by f01 ?2
% 0.10/0.30  6818:  Id :   3, {_}: rd (mult ?4 ?4) ?4 =>= ?4 [4] by f02 ?4
% 0.10/0.30  6818:  Id :   4, {_}: mult ?6 (ld ?6 ?7) =>= ld ?6 (mult ?6 ?7) [7, 6] by f03 ?6 ?7
% 0.10/0.30  6818:  Id :   5, {_}:
% 0.10/0.30            mult (rd ?9 ?10) ?10 =>= rd (mult ?9 ?10) ?10
% 0.10/0.30            [10, 9] by f04 ?9 ?10
% 0.10/0.30  6818:  Id :   6, {_}:
% 0.10/0.30            ld (ld ?12 ?13) (mult (ld ?12 ?13) (mult ?14 ?15))
% 0.10/0.30            =>=
% 0.10/0.30            mult (ld ?12 (mult ?12 ?14)) ?15
% 0.10/0.30            [15, 14, 13, 12] by f05 ?12 ?13 ?14 ?15
% 0.10/0.30  6818:  Id :   7, {_}:
% 0.10/0.30            rd (mult (mult ?17 ?18) (rd ?19 ?20)) (rd ?19 ?20)
% 0.10/0.30            =>=
% 0.10/0.30            mult ?17 (rd (mult ?18 ?20) ?20)
% 0.10/0.30            [20, 19, 18, 17] by f06 ?17 ?18 ?19 ?20
% 0.10/0.30  6818:  Id :   8, {_}:
% 0.10/0.30            ld ?22 (mult ?22 (ld ?23 ?23)) =<= rd (mult (rd ?22 ?22) ?23) ?23
% 0.10/0.30            [23, 22] by f07 ?22 ?23
% 0.10/0.30  6818: Goal:
% 0.10/0.30  6818:  Id :   1, {_}:
% 0.10/0.30            rd (mult x6 (rd x7 x8)) (rd x7 x8) =>= rd (mult x6 x8) x8
% 0.10/0.30            [] by goal
% 0.14/0.44  Statistics :
% 0.14/0.44  Max weight : 28
% 0.14/0.44  Found proof, 0.141326s
% 0.14/0.44  % SZS status Unsatisfiable for theBenchmark.p
% 0.14/0.44  % SZS output start CNFRefutation for theBenchmark.p
% 0.14/0.44  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
% 0.14/0.44  Id :   5, {_}: mult (rd ?9 ?10) ?10 =>= rd (mult ?9 ?10) ?10 [10, 9] by f04 ?9 ?10
% 0.14/0.44  Id :  53, {_}: ld ?156 (mult ?156 (ld ?157 ?157)) =<= rd (mult (rd ?156 ?156) ?157) ?157 [157, 156] by f07 ?156 ?157
% 0.14/0.44  Id :   8, {_}: ld ?22 (mult ?22 (ld ?23 ?23)) =<= rd (mult (rd ?22 ?22) ?23) ?23 [23, 22] by f07 ?22 ?23
% 0.14/0.44  Id :   3, {_}: rd (mult ?4 ?4) ?4 =>= ?4 [4] by f02 ?4
% 0.14/0.44  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
% 0.14/0.44  Id :   4, {_}: mult ?6 (ld ?6 ?7) =>= ld ?6 (mult ?6 ?7) [7, 6] by f03 ?6 ?7
% 0.14/0.44  Id :   2, {_}: ld ?2 (mult ?2 ?2) =>= ?2 [2] by f01 ?2
% 0.14/0.44  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
% 0.14/0.44  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
% 0.14/0.44  Id : 113, {_}: ld ?276 (mult ?276 (mult ?277 ?278)) =<= mult (ld ?276 (mult ?276 ?277)) ?278 [278, 277, 276] by Demod 23 with 2 at 1,2
% 0.14/0.44  Id : 118, {_}: ld ?296 (mult ?296 (mult ?296 ?297)) =>= mult ?296 ?297 [297, 296] by Super 113 with 2 at 1,3
% 0.14/0.44  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
% 0.14/0.44  Id : 153, {_}: rd (mult (mult ?369 ?370) ?371) ?371 =<= mult ?369 (rd (mult ?370 ?371) ?371) [371, 370, 369] by Demod 36 with 3 at 2,1,2
% 0.14/0.44  Id :  55, {_}: ld ?162 (mult ?162 (ld ?162 ?162)) =<= rd (rd (mult ?162 ?162) ?162) ?162 [162] by Super 53 with 5 at 1,3
% 0.14/0.44  Id :  60, {_}: ld ?162 (ld ?162 (mult ?162 ?162)) =<= rd (rd (mult ?162 ?162) ?162) ?162 [162] by Demod 55 with 4 at 2,2
% 0.14/0.44  Id :  61, {_}: ld ?162 (ld ?162 (mult ?162 ?162)) =>= rd ?162 ?162 [162] by Demod 60 with 3 at 1,3
% 0.14/0.44  Id :  62, {_}: ld ?162 ?162 =<= rd ?162 ?162 [162] by Demod 61 with 2 at 2,2
% 0.14/0.44  Id :  63, {_}: ld ?22 (mult ?22 (ld ?23 ?23)) =<= rd (mult (ld ?22 ?22) ?23) ?23 [23, 22] by Demod 8 with 62 at 1,1,3
% 0.14/0.44  Id : 162, {_}: rd (mult (mult ?406 (ld ?407 ?407)) ?408) ?408 =<= mult ?406 (ld ?407 (mult ?407 (ld ?408 ?408))) [408, 407, 406] by Super 153 with 63 at 2,3
% 0.14/0.44  Id : 500, {_}: rd (mult (mult ?936 (ld ?936 ?936)) ?937) ?937 =>= ld ?936 (mult ?936 (mult ?936 (ld ?937 ?937))) [937, 936] by Super 4 with 162 at 2
% 0.14/0.44  Id : 526, {_}: rd (mult (ld ?936 (mult ?936 ?936)) ?937) ?937 =>= ld ?936 (mult ?936 (mult ?936 (ld ?937 ?937))) [937, 936] by Demod 500 with 4 at 1,1,2
% 0.14/0.44  Id : 527, {_}: rd (mult (ld ?936 (mult ?936 ?936)) ?937) ?937 =>= mult ?936 (ld ?937 ?937) [937, 936] by Demod 526 with 118 at 3
% 0.14/0.44  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
% 0.14/0.44  Id : 528, {_}: rd (ld ?936 (mult ?936 (mult ?936 ?937))) ?937 =>= mult ?936 (ld ?937 ?937) [937, 936] by Demod 527 with 30 at 1,2
% 0.14/0.44  Id : 529, {_}: rd (mult ?936 ?937) ?937 =<= mult ?936 (ld ?937 ?937) [937, 936] by Demod 528 with 118 at 1,2
% 0.14/0.44  Id : 588, {_}: ld ?1027 (mult ?1027 (rd (mult ?1027 ?1028) ?1028)) =>= mult ?1027 (ld ?1028 ?1028) [1028, 1027] by Super 118 with 529 at 2,2,2
% 0.14/0.44  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
% 0.14/0.44  Id : 640, {_}: ld ?1027 (rd (mult (mult ?1027 ?1027) ?1028) ?1028) =>= mult ?1027 (ld ?1028 ?1028) [1028, 1027] by Demod 588 with 45 at 2,2
% 0.14/0.44  Id : 1546, {_}: ld ?2365 (rd (mult (mult ?2365 ?2365) ?2366) ?2366) =>= rd (mult ?2365 ?2366) ?2366 [2366, 2365] by Demod 640 with 529 at 3
% 0.14/0.44  Id : 139, {_}: 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
% 0.14/0.44  Id : 1560, {_}: ld ?2414 (rd (mult (mult ?2414 ?2414) ?2415) ?2415) =?= rd (mult ?2414 (rd ?2416 ?2415)) (rd ?2416 ?2415) [2416, 2415, 2414] by Super 1546 with 139 at 2,2
% 0.14/0.44  Id : 641, {_}: ld ?1027 (rd (mult (mult ?1027 ?1027) ?1028) ?1028) =>= rd (mult ?1027 ?1028) ?1028 [1028, 1027] by Demod 640 with 529 at 3
% 0.14/0.44  Id : 1604, {_}: rd (mult ?2414 ?2415) ?2415 =<= rd (mult ?2414 (rd ?2416 ?2415)) (rd ?2416 ?2415) [2416, 2415, 2414] by Demod 1560 with 641 at 2
% 0.14/0.44  Id : 2932, {_}: rd (mult x6 x8) x8 === rd (mult x6 x8) x8 [] by Demod 1 with 1604 at 2
% 0.14/0.44  Id :   1, {_}: rd (mult x6 (rd x7 x8)) (rd x7 x8) =>= rd (mult x6 x8) x8 [] by goal
% 0.14/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44  6821: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.143606 using nrkbo
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