TSTP Solution File: GRP558-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n007.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 10:30:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.36s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP558-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34  % Computer : n007.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 : Mon Jun 13 16:15:39 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  28241: Facts:
% 0.13/0.35  28241:  Id :   2, {_}:
% 0.13/0.35            divide ?2 (inverse (divide (divide ?3 ?4) (divide ?2 ?4))) =>= ?3
% 0.13/0.35            [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35  28241:  Id :   3, {_}:
% 0.13/0.35            multiply ?6 ?7 =<= divide ?6 (inverse ?7)
% 0.13/0.35            [7, 6] by multiply ?6 ?7
% 0.13/0.35  28241: Goal:
% 0.13/0.35  28241:  Id :   1, {_}:
% 0.13/0.35            multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.13/0.35            [] by prove_these_axioms_2
% 0.20/0.36  Statistics :
% 0.20/0.36  Max weight : 20
% 0.20/0.36  Found proof, 0.019050s
% 0.20/0.36  % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.36  % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.36  Id :   3, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by multiply ?6 ?7
% 0.20/0.36  Id :   2, {_}: divide ?2 (inverse (divide (divide ?3 ?4) (divide ?2 ?4))) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.36  Id :   8, {_}: multiply ?2 (divide (divide ?3 ?4) (divide ?2 ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 3 at 2
% 0.20/0.36  Id :   9, {_}: multiply ?25 (divide (divide ?26 (inverse ?27)) (multiply ?25 ?27)) =>= ?26 [27, 26, 25] by Super 8 with 3 at 2,2,2
% 0.20/0.36  Id :  15, {_}: multiply ?39 (divide (multiply ?40 ?41) (multiply ?39 ?41)) =>= ?40 [41, 40, 39] by Demod 9 with 3 at 1,2,2
% 0.20/0.36  Id :  16, {_}: multiply ?43 (divide (multiply ?44 (divide (divide ?45 ?46) (divide ?43 ?46))) ?45) =>= ?44 [46, 45, 44, 43] by Super 15 with 8 at 2,2,2
% 0.20/0.36  Id :  24, {_}: multiply ?77 (divide (multiply ?78 (divide (divide ?79 ?80) (divide ?77 ?80))) ?79) =>= ?78 [80, 79, 78, 77] by Super 15 with 8 at 2,2,2
% 0.20/0.36  Id :  27, {_}: multiply ?92 (divide ?93 ?93) =>= ?92 [93, 92] by Super 24 with 8 at 1,2,2
% 0.20/0.37  Id :  49, {_}: multiply ?147 (divide ?148 ?147) =>= ?148 [148, 147] by Super 16 with 27 at 1,2,2
% 0.20/0.37  Id :  50, {_}: multiply (inverse ?150) (multiply ?151 ?150) =>= ?151 [151, 150] by Super 49 with 3 at 2,2
% 0.20/0.37  Id :  13, {_}: multiply ?25 (divide (multiply ?26 ?27) (multiply ?25 ?27)) =>= ?26 [27, 26, 25] by Demod 9 with 3 at 1,2,2
% 0.20/0.37  Id :  71, {_}: multiply (inverse ?190) (multiply ?191 ?190) =>= ?191 [191, 190] by Super 49 with 3 at 2,2
% 0.20/0.37  Id :  75, {_}: multiply (inverse (divide ?206 ?206)) ?207 =>= ?207 [207, 206] by Super 71 with 27 at 2,2
% 0.20/0.37  Id :  98, {_}: multiply (inverse (divide ?267 ?267)) (divide (multiply ?268 ?269) ?269) =>= ?268 [269, 268, 267] by Super 13 with 75 at 2,2,2
% 0.20/0.37  Id : 132, {_}: divide (multiply ?351 ?352) ?352 =>= ?351 [352, 351] by Demod 98 with 75 at 2
% 0.20/0.37  Id :  36, {_}: multiply ?114 (divide ?115 ?114) =>= ?115 [115, 114] by Super 16 with 27 at 1,2,2
% 0.20/0.37  Id : 137, {_}: divide ?370 (divide ?370 ?371) =>= ?371 [371, 370] by Super 132 with 36 at 1,2
% 0.20/0.37  Id : 180, {_}: multiply (divide ?457 ?458) ?458 =>= ?457 [458, 457] by Super 8 with 137 at 2,2
% 0.20/0.37  Id : 345, {_}: multiply (inverse ?814) ?815 =>= divide ?815 ?814 [815, 814] by Super 50 with 180 at 2,2
% 0.20/0.37  Id : 200, {_}: divide ?525 (multiply ?525 ?526) =>= inverse ?526 [526, 525] by Super 132 with 50 at 1,2
% 0.20/0.37  Id : 205, {_}: divide ?544 ?545 =<= inverse (divide ?545 ?544) [545, 544] by Super 200 with 36 at 2,2
% 0.20/0.37  Id : 214, {_}: multiply (divide ?206 ?206) ?207 =>= ?207 [207, 206] by Demod 75 with 205 at 1,2
% 0.20/0.37  Id : 423, {_}: a2 === a2 [] by Demod 422 with 214 at 2
% 0.20/0.37  Id : 422, {_}: multiply (divide b2 b2) a2 =>= a2 [] by Demod 1 with 345 at 1,2
% 0.20/0.37  Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.20/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37  28244: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.020839 using nrkbo
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