TSTP Solution File: GRP467-1 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n022.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 10:30:25 EDT 2022

% Result   : Unsatisfiable 1.21s 0.65s
% Output   : CNFRefutation 1.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 02:07:18 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  24559: Facts:
% 0.14/0.37  24559:  Id :   2, {_}:
% 0.14/0.37            divide (divide ?2 ?2)
% 0.14/0.37              (divide ?3 (divide (divide ?4 (divide ?5 ?3)) (inverse ?5)))
% 0.14/0.37            =>=
% 0.14/0.37            ?4
% 0.14/0.37            [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.14/0.37  24559:  Id :   3, {_}:
% 0.14/0.37            multiply ?7 ?8 =<= divide ?7 (inverse ?8)
% 0.14/0.37            [8, 7] by multiply ?7 ?8
% 0.14/0.37  24559: Goal:
% 0.14/0.37  24559:  Id :   1, {_}:
% 0.14/0.37            multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.14/0.37            [] by prove_these_axioms_2
% 1.21/0.65  Statistics :
% 1.21/0.65  Max weight : 40
% 1.21/0.65  Found proof, 0.284151s
% 1.21/0.65  % SZS status Unsatisfiable for theBenchmark.p
% 1.21/0.65  % SZS output start CNFRefutation for theBenchmark.p
% 1.21/0.65  Id :   4, {_}: divide (divide ?10 ?10) (divide ?11 (divide (divide ?12 (divide ?13 ?11)) (inverse ?13))) =>= ?12 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
% 1.21/0.65  Id :   3, {_}: multiply ?7 ?8 =<= divide ?7 (inverse ?8) [8, 7] by multiply ?7 ?8
% 1.21/0.65  Id :   2, {_}: divide (divide ?2 ?2) (divide ?3 (divide (divide ?4 (divide ?5 ?3)) (inverse ?5))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 1.21/0.65  Id :   8, {_}: divide (divide ?2 ?2) (divide ?3 (multiply (divide ?4 (divide ?5 ?3)) ?5)) =>= ?4 [5, 4, 3, 2] by Demod 2 with 3 at 2,2,2
% 1.21/0.65  Id :  15, {_}: divide (divide ?59 ?59) (divide (inverse ?60) (multiply (divide ?61 (multiply ?62 ?60)) ?62)) =>= ?61 [62, 61, 60, 59] by Super 8 with 3 at 2,1,2,2,2
% 1.21/0.65  Id :  16, {_}: divide (multiply (inverse ?64) ?64) (divide (inverse ?65) (multiply (divide ?66 (multiply ?67 ?65)) ?67)) =>= ?66 [67, 66, 65, 64] by Super 15 with 3 at 1,2
% 1.21/0.65  Id :  29, {_}: divide (divide ?135 ?135) (divide (divide (inverse ?136) (multiply (divide ?137 (multiply ?138 ?136)) ?138)) (multiply (divide ?139 ?137) (multiply (inverse ?140) ?140))) =>= ?139 [140, 139, 138, 137, 136, 135] by Super 8 with 16 at 2,1,2,2,2
% 1.21/0.65  Id :   6, {_}: divide (divide ?22 ?22) (divide (divide (divide ?23 (divide ?24 ?25)) (inverse ?24)) (divide ?23 (inverse ?25))) =?= divide ?26 ?26 [26, 25, 24, 23, 22] by Super 4 with 2 at 1,2,2,2
% 1.21/0.65  Id :  87, {_}: divide (divide ?22 ?22) (divide (multiply (divide ?23 (divide ?24 ?25)) ?24) (divide ?23 (inverse ?25))) =?= divide ?26 ?26 [26, 25, 24, 23, 22] by Demod 6 with 3 at 1,2,2
% 1.21/0.65  Id :  88, {_}: divide (divide ?22 ?22) (divide (multiply (divide ?23 (divide ?24 ?25)) ?24) (multiply ?23 ?25)) =?= divide ?26 ?26 [26, 25, 24, 23, 22] by Demod 87 with 3 at 2,2,2
% 1.21/0.65  Id : 100, {_}: divide (divide ?651 ?651) (divide (multiply ?652 ?653) (multiply (divide ?654 ?654) (multiply (divide ?652 (divide ?655 ?653)) ?655))) =?= divide ?656 ?656 [656, 655, 654, 653, 652, 651] by Super 8 with 88 at 1,2,2,2
% 1.21/0.65  Id : 900, {_}: divide ?8104 ?8104 =?= divide (multiply (divide ?8105 (divide ?8106 ?8107)) ?8106) (multiply ?8105 ?8107) [8107, 8106, 8105, 8104] by Super 8 with 100 at 2
% 1.21/0.65  Id : 786, {_}: divide ?7061 ?7061 =?= divide (multiply (divide ?7062 (divide ?7063 ?7064)) ?7063) (multiply ?7062 ?7064) [7064, 7063, 7062, 7061] by Super 8 with 100 at 2
% 1.21/0.65  Id : 961, {_}: divide ?8574 ?8574 =?= divide ?8575 ?8575 [8575, 8574] by Super 900 with 786 at 3
% 1.21/0.65  Id : 1067, {_}: divide (divide ?9321 ?9321) (divide ?9322 (multiply (divide ?9323 ?9323) ?9324)) =>= divide ?9324 ?9322 [9324, 9323, 9322, 9321] by Super 8 with 961 at 1,2,2,2
% 1.21/0.65  Id : 1417, {_}: divide ?11114 ?11114 =?= divide ?11115 (multiply (divide ?11116 ?11116) ?11115) [11116, 11115, 11114] by Super 961 with 1067 at 3
% 1.21/0.65  Id : 1555, {_}: divide (divide ?11920 ?11920) (divide (divide (inverse ?11921) (multiply (divide (multiply (divide ?11922 ?11922) ?11923) (multiply ?11924 ?11921)) ?11924)) (multiply (divide ?11925 ?11925) (multiply (inverse ?11926) ?11926))) =>= ?11923 [11926, 11925, 11924, 11923, 11922, 11921, 11920] by Super 29 with 1417 at 1,2,2,2
% 1.21/0.65  Id : 1599, {_}: divide (multiply (inverse ?11926) ?11926) (divide (inverse ?11921) (multiply (divide (multiply (divide ?11922 ?11922) ?11923) (multiply ?11924 ?11921)) ?11924)) =>= ?11923 [11924, 11923, 11922, 11921, 11926] by Demod 1555 with 1067 at 2
% 1.21/0.65  Id : 1651, {_}: multiply (divide ?12300 ?12300) ?12301 =>= ?12301 [12301, 12300] by Demod 1599 with 16 at 2
% 1.21/0.65  Id : 1655, {_}: multiply (multiply (inverse ?12314) ?12314) ?12315 =>= ?12315 [12315, 12314] by Super 1651 with 3 at 1,2
% 1.21/0.65  Id : 1704, {_}: a2 === a2 [] by Demod 1 with 1655 at 2
% 1.21/0.65  Id :   1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 1.21/0.65  % SZS output end CNFRefutation for theBenchmark.p
% 1.21/0.65  24562: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.285592 using nrkbo
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