TSTP Solution File: GRP684-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : 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 10:31:35 EDT 2022
% Result : Unsatisfiable 1.59s 0.71s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 12:18:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 22649: Facts:
% 0.12/0.34 22649: Id : 2, {_}: ld ?2 (mult ?2 ?2) =>= ?2 [2] by c01 ?2
% 0.12/0.34 22649: Id : 3, {_}: rd (mult ?4 ?4) ?4 =>= ?4 [4] by c02 ?4
% 0.12/0.34 22649: Id : 4, {_}: mult ?6 (ld ?6 ?7) =>= ld ?6 (mult ?6 ?7) [7, 6] by c03 ?6 ?7
% 0.12/0.34 22649: Id : 5, {_}:
% 0.12/0.34 mult (rd ?9 ?10) ?10 =>= rd (mult ?9 ?10) ?10
% 0.12/0.34 [10, 9] by c04 ?9 ?10
% 0.12/0.34 22649: Id : 6, {_}:
% 0.12/0.34 ld (ld ?12 ?13) (mult (ld ?12 ?13) (mult ?14 ?15))
% 0.12/0.34 =>=
% 0.12/0.34 mult (ld ?12 (mult ?12 ?14)) ?15
% 0.12/0.34 [15, 14, 13, 12] by c05 ?12 ?13 ?14 ?15
% 0.12/0.34 22649: Id : 7, {_}:
% 0.12/0.34 rd (mult (mult ?17 ?18) (rd ?19 ?20)) (rd ?19 ?20)
% 0.12/0.34 =>=
% 0.12/0.34 mult ?17 (rd (mult ?18 ?20) ?20)
% 0.12/0.34 [20, 19, 18, 17] by c06 ?17 ?18 ?19 ?20
% 0.12/0.34 22649: Id : 8, {_}:
% 0.12/0.34 ld ?22 (mult ?22 (ld ?23 ?23)) =<= rd (mult (rd ?22 ?22) ?23) ?23
% 0.12/0.34 [23, 22] by c07 ?22 ?23
% 0.12/0.34 22649: Goal:
% 0.12/0.34 22649: Id : 1, {_}:
% 0.12/0.34 rd (mult a (mult b c)) (mult b c) =>= rd (mult a c) c
% 0.12/0.34 [] by goals
% 1.59/0.71 Statistics :
% 1.59/0.71 Max weight : 28
% 1.59/0.71 Found proof, 0.368996s
% 1.59/0.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.59/0.71 % SZS output start CNFRefutation for theBenchmark.p
% 1.59/0.71 Id : 3, {_}: rd (mult ?4 ?4) ?4 =>= ?4 [4] by c02 ?4
% 1.59/0.71 Id : 2, {_}: ld ?2 (mult ?2 ?2) =>= ?2 [2] by c01 ?2
% 1.59/0.71 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 c05 ?54 ?55 ?56 ?57
% 1.59/0.71 Id : 4, {_}: mult ?6 (ld ?6 ?7) =>= ld ?6 (mult ?6 ?7) [7, 6] by c03 ?6 ?7
% 1.59/0.71 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 c06 ?100 ?101 ?102 ?103
% 1.59/0.71 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
% 1.59/0.71 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
% 1.59/0.71 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
% 1.59/0.71 Id : 1347, {_}: 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
% 1.59/0.71 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
% 1.59/0.71 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
% 1.59/0.71 Id : 1348, {_}: 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 1347 with 45 at 3
% 1.59/0.71 Id : 1349, {_}: 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 1348 with 4 at 1,1,3
% 1.59/0.71 Id : 1355, {_}: rd (ld ?2309 (mult ?2309 (mult ?2310 (rd ?2311 ?2312)))) (rd ?2311 ?2312) =>= rd (ld ?2309 (mult ?2309 (mult ?2310 ?2312))) ?2312 [2312, 2311, 2310, 2309] by Demod 1349 with 30 at 1,3
% 1.59/0.71 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
% 1.59/0.71 Id : 118, {_}: ld ?296 (mult ?296 (mult ?296 ?297)) =>= mult ?296 ?297 [297, 296] by Super 113 with 2 at 1,3
% 1.59/0.71 Id : 1381, {_}: rd (mult ?2448 (rd ?2449 ?2450)) (rd ?2449 ?2450) =?= rd (ld ?2448 (mult ?2448 (mult ?2448 ?2450))) ?2450 [2450, 2449, 2448] by Super 1355 with 118 at 1,2
% 1.59/0.71 Id : 3403, {_}: rd (mult ?5320 (rd ?5321 ?5322)) (rd ?5321 ?5322) =>= rd (mult ?5320 ?5322) ?5322 [5322, 5321, 5320] by Demod 1381 with 118 at 1,3
% 1.59/0.71 Id : 229, {_}: rd (mult (mult ?513 ?514) ?515) ?515 =<= mult ?513 (rd (mult ?514 ?515) ?515) [515, 514, 513] by Demod 36 with 3 at 2,1,2
% 1.59/0.71 Id : 235, {_}: rd (mult (mult ?538 ?539) ?539) ?539 =>= mult ?538 ?539 [539, 538] by Super 229 with 3 at 2,3
% 1.59/0.71 Id : 3405, {_}: rd (mult ?5327 (rd (mult (mult ?5328 ?5329) ?5329) ?5329)) (mult ?5328 ?5329) =>= rd (mult ?5327 ?5329) ?5329 [5329, 5328, 5327] by Super 3403 with 235 at 2,2
% 1.59/0.71 Id : 3468, {_}: rd (rd (mult (mult ?5327 (mult ?5328 ?5329)) ?5329) ?5329) (mult ?5328 ?5329) =>= rd (mult ?5327 ?5329) ?5329 [5329, 5328, 5327] by Demod 3405 with 45 at 1,2
% 1.59/0.71 Id : 334, {_}: rd (mult (mult ?675 (mult ?676 ?677)) ?677) ?677 =>= mult ?675 (mult ?676 ?677) [677, 676, 675] by Super 45 with 235 at 2,3
% 1.59/0.71 Id : 3469, {_}: rd (mult ?5327 (mult ?5328 ?5329)) (mult ?5328 ?5329) =>= rd (mult ?5327 ?5329) ?5329 [5329, 5328, 5327] by Demod 3468 with 334 at 1,2
% 1.59/0.71 Id : 7557, {_}: rd (mult a c) c === rd (mult a c) c [] by Demod 1 with 3469 at 2
% 1.59/0.71 Id : 1, {_}: rd (mult a (mult b c)) (mult b c) =>= rd (mult a c) c [] by goals
% 1.59/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 1.59/0.71 22649: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.372148 using nrkbo
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