TSTP Solution File: GRP555-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 10:30:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n015.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 : Tue Jun 14 07:33:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 23431: Facts:
% 0.13/0.34 23431: Id : 2, {_}:
% 0.13/0.34 divide (divide ?2 (inverse (divide ?3 (divide ?2 ?4)))) ?4 =>= ?3
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 23431: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= divide ?6 (inverse ?7)
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 23431: Goal:
% 0.13/0.34 23431: Id : 1, {_}:
% 0.13/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.34 [] by prove_these_axioms_3
% 0.19/0.41 Statistics :
% 0.19/0.41 Max weight : 28
% 0.19/0.41 Found proof, 0.067851s
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.41 Id : 4, {_}: divide (divide ?9 (inverse (divide ?10 (divide ?9 ?11)))) ?11 =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.19/0.41 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by multiply ?6 ?7
% 0.19/0.41 Id : 2, {_}: divide (divide ?2 (inverse (divide ?3 (divide ?2 ?4)))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.41 Id : 8, {_}: divide (multiply ?2 (divide ?3 (divide ?2 ?4))) ?4 =>= ?3 [4, 3, 2] by Demod 2 with 3 at 1,2
% 0.19/0.41 Id : 9, {_}: divide (multiply ?25 (divide ?26 (multiply ?25 ?27))) (inverse ?27) =>= ?26 [27, 26, 25] by Super 8 with 3 at 2,2,1,2
% 0.19/0.41 Id : 36, {_}: multiply (multiply ?121 (divide ?122 (multiply ?121 ?123))) ?123 =>= ?122 [123, 122, 121] by Demod 9 with 3 at 2
% 0.19/0.41 Id : 38, {_}: multiply (multiply ?130 ?131) ?132 =<= multiply ?133 (divide ?131 (divide ?133 (multiply ?130 ?132))) [133, 132, 131, 130] by Super 36 with 8 at 2,1,2
% 0.19/0.41 Id : 5, {_}: divide (divide (divide ?13 (inverse (divide ?14 (divide ?13 ?15)))) (inverse (divide ?16 ?14))) ?15 =>= ?16 [16, 15, 14, 13] by Super 4 with 2 at 2,1,2,1,2
% 0.19/0.41 Id : 17, {_}: divide (multiply (divide ?13 (inverse (divide ?14 (divide ?13 ?15)))) (divide ?16 ?14)) ?15 =>= ?16 [16, 15, 14, 13] by Demod 5 with 3 at 1,2
% 0.19/0.41 Id : 18, {_}: divide (multiply (multiply ?13 (divide ?14 (divide ?13 ?15))) (divide ?16 ?14)) ?15 =>= ?16 [16, 15, 14, 13] by Demod 17 with 3 at 1,1,2
% 0.19/0.41 Id : 44, {_}: divide (multiply (multiply ?148 ?149) ?150) (multiply ?148 ?150) =>= ?149 [150, 149, 148] by Super 8 with 38 at 1,2
% 0.19/0.41 Id : 84, {_}: divide ?302 (divide ?303 (multiply ?303 (divide ?304 ?302))) =>= ?304 [304, 303, 302] by Super 18 with 44 at 2
% 0.19/0.41 Id : 420, {_}: multiply (multiply ?1850 ?1851) (divide ?1852 ?1851) =>= multiply ?1850 ?1852 [1852, 1851, 1850] by Super 38 with 84 at 2,3
% 0.19/0.41 Id : 6, {_}: divide (divide ?18 (inverse ?19)) ?20 =<= divide ?21 (inverse (divide ?19 (divide ?21 (divide ?18 ?20)))) [21, 20, 19, 18] by Super 4 with 2 at 1,2,1,2
% 0.19/0.41 Id : 57, {_}: divide (multiply ?18 ?19) ?20 =<= divide ?21 (inverse (divide ?19 (divide ?21 (divide ?18 ?20)))) [21, 20, 19, 18] by Demod 6 with 3 at 1,2
% 0.19/0.41 Id : 58, {_}: divide (multiply ?18 ?19) ?20 =<= multiply ?21 (divide ?19 (divide ?21 (divide ?18 ?20))) [21, 20, 19, 18] by Demod 57 with 3 at 3
% 0.19/0.41 Id : 61, {_}: divide (divide (multiply ?218 ?219) ?220) (divide ?218 ?220) =>= ?219 [220, 219, 218] by Super 8 with 58 at 1,2
% 0.19/0.41 Id : 426, {_}: multiply (multiply ?1884 (divide ?1885 ?1886)) ?1887 =>= multiply ?1884 (divide (multiply ?1885 ?1887) ?1886) [1887, 1886, 1885, 1884] by Super 420 with 61 at 2,2
% 0.19/0.41 Id : 22, {_}: divide (multiply (multiply ?60 (divide ?61 (divide ?60 ?62))) (divide ?63 ?61)) ?62 =>= ?63 [63, 62, 61, 60] by Demod 17 with 3 at 1,1,2
% 0.19/0.41 Id : 23, {_}: divide (multiply (multiply ?65 (divide ?66 (divide ?65 ?67))) ?68) ?67 =?= multiply ?69 (divide ?68 (divide ?69 ?66)) [69, 68, 67, 66, 65] by Super 22 with 8 at 2,1,2
% 0.19/0.41 Id : 518, {_}: divide (multiply ?65 (divide (multiply ?66 ?68) (divide ?65 ?67))) ?67 =?= multiply ?69 (divide ?68 (divide ?69 ?66)) [69, 67, 68, 66, 65] by Demod 23 with 426 at 1,2
% 0.19/0.41 Id : 527, {_}: multiply ?66 ?68 =<= multiply ?69 (divide ?68 (divide ?69 ?66)) [69, 68, 66] by Demod 518 with 8 at 2
% 0.19/0.41 Id : 528, {_}: divide (multiply ?18 ?19) ?20 =>= multiply (divide ?18 ?20) ?19 [20, 19, 18] by Demod 58 with 527 at 3
% 0.19/0.41 Id : 561, {_}: multiply (multiply ?2305 (divide ?2306 ?2307)) ?2308 =>= multiply ?2305 (multiply (divide ?2306 ?2307) ?2308) [2308, 2307, 2306, 2305] by Demod 426 with 528 at 2,3
% 0.19/0.41 Id : 562, {_}: multiply (multiply ?2310 ?2311) ?2312 =<= multiply ?2310 (multiply (divide ?2313 (divide ?2314 (multiply ?2314 (divide ?2311 ?2313)))) ?2312) [2314, 2313, 2312, 2311, 2310] by Super 561 with 84 at 2,1,2
% 0.19/0.41 Id : 618, {_}: multiply (multiply ?2310 ?2311) ?2312 =>= multiply ?2310 (multiply ?2311 ?2312) [2312, 2311, 2310] by Demod 562 with 84 at 1,2,3
% 0.19/0.41 Id : 748, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 618 at 2
% 0.19/0.41 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41 23432: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.070161 using kbo
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