TSTP Solution File: GRP446-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n019.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 10:30:20 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n019.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 : Tue Jun 14 03:48:10 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 3009: Facts:
% 0.12/0.35 3009: Id : 2, {_}:
% 0.12/0.35 divide ?2
% 0.12/0.35 (divide (divide (divide (divide ?2 ?2) ?3) ?4)
% 0.12/0.35 (divide (divide (divide ?2 ?2) ?2) ?4))
% 0.12/0.35 =>=
% 0.12/0.35 ?3
% 0.12/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.35 3009: Id : 3, {_}:
% 0.12/0.35 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.35 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.35 3009: Id : 4, {_}:
% 0.12/0.35 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.35 [11, 10] by inverse ?10 ?11
% 0.12/0.35 3009: Goal:
% 0.12/0.35 3009: Id : 1, {_}:
% 0.12/0.35 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.35 [] by prove_these_axioms_2
% 0.12/0.37 Statistics :
% 0.12/0.37 Max weight : 26
% 0.12/0.37 Found proof, 0.026339s
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.37 Id : 39, {_}: inverse ?102 =<= divide (divide ?103 ?103) ?102 [103, 102] by inverse ?102 ?103
% 0.12/0.37 Id : 2, {_}: divide ?2 (divide (divide (divide (divide ?2 ?2) ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.38 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.12/0.38 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.38 Id : 33, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.12/0.38 Id : 47, {_}: multiply (divide ?120 ?120) ?121 =>= inverse (inverse ?121) [121, 120] by Super 33 with 4 at 3
% 0.12/0.38 Id : 49, {_}: multiply (multiply (inverse ?126) ?126) ?127 =>= inverse (inverse ?127) [127, 126] by Super 47 with 33 at 1,2
% 0.12/0.38 Id : 34, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,1,2,2
% 0.12/0.38 Id : 35, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 34 with 4 at 1,2,2,2
% 0.12/0.38 Id : 37, {_}: divide ?95 (inverse (divide (inverse ?95) (inverse ?96))) =>= ?96 [96, 95] by Super 35 with 4 at 2,2
% 0.12/0.38 Id : 45, {_}: multiply ?95 (divide (inverse ?95) (inverse ?96)) =>= ?96 [96, 95] by Demod 37 with 33 at 2
% 0.12/0.38 Id : 46, {_}: multiply ?95 (multiply (inverse ?95) ?96) =>= ?96 [96, 95] by Demod 45 with 33 at 2,2
% 0.12/0.38 Id : 48, {_}: multiply (inverse (divide ?123 ?123)) ?124 =>= inverse (inverse ?124) [124, 123] by Super 47 with 4 at 1,2
% 0.12/0.38 Id : 91, {_}: multiply (divide ?233 ?233) (inverse (inverse ?234)) =>= ?234 [234, 233] by Super 46 with 48 at 2,2
% 0.12/0.38 Id : 36, {_}: multiply (divide ?92 ?92) ?93 =>= inverse (inverse ?93) [93, 92] by Super 33 with 4 at 3
% 0.12/0.38 Id : 101, {_}: inverse (inverse (inverse (inverse ?234))) =>= ?234 [234] by Demod 91 with 36 at 2
% 0.12/0.38 Id : 40, {_}: inverse ?105 =<= divide (inverse (divide ?106 ?106)) ?105 [106, 105] by Super 39 with 4 at 1,3
% 0.12/0.38 Id : 54, {_}: divide (divide ?137 ?137) (divide (divide (inverse ?138) ?139) (inverse ?139)) =>= ?138 [139, 138, 137] by Super 35 with 40 at 2,2,2
% 0.12/0.38 Id : 65, {_}: inverse (divide (divide (inverse ?138) ?139) (inverse ?139)) =>= ?138 [139, 138] by Demod 54 with 4 at 2
% 0.12/0.38 Id : 66, {_}: inverse (multiply (divide (inverse ?138) ?139) ?139) =>= ?138 [139, 138] by Demod 65 with 33 at 1,2
% 0.12/0.38 Id : 475, {_}: inverse (inverse (inverse ?814)) =<= multiply (divide (inverse ?814) ?815) ?815 [815, 814] by Super 101 with 66 at 1,1,1,2
% 0.12/0.38 Id : 476, {_}: inverse (inverse (inverse (inverse (inverse (inverse ?817))))) =?= multiply (divide ?817 ?818) ?818 [818, 817] by Super 475 with 101 at 1,1,3
% 0.12/0.38 Id : 496, {_}: inverse (inverse ?851) =<= multiply (divide ?851 ?852) ?852 [852, 851] by Demod 476 with 101 at 2
% 0.12/0.38 Id : 77, {_}: multiply ?204 (multiply (inverse ?204) ?205) =>= ?205 [205, 204] by Demod 45 with 33 at 2,2
% 0.12/0.38 Id : 78, {_}: multiply ?207 ?208 =<= multiply (inverse (inverse ?207)) ?208 [208, 207] by Super 77 with 46 at 2,2
% 0.12/0.38 Id : 116, {_}: multiply ?279 (inverse (inverse (inverse ?280))) =>= divide ?279 ?280 [280, 279] by Super 33 with 101 at 2,3
% 0.12/0.38 Id : 132, {_}: multiply ?307 (inverse (inverse (inverse ?308))) =>= divide (inverse (inverse ?307)) ?308 [308, 307] by Super 78 with 116 at 3
% 0.12/0.38 Id : 141, {_}: divide ?307 ?308 =<= divide (inverse (inverse ?307)) ?308 [308, 307] by Demod 132 with 116 at 2
% 0.12/0.38 Id : 504, {_}: inverse (inverse (inverse (inverse ?876))) =<= multiply (divide ?876 ?877) ?877 [877, 876] by Super 496 with 141 at 1,3
% 0.12/0.38 Id : 509, {_}: ?876 =<= multiply (divide ?876 ?877) ?877 [877, 876] by Demod 504 with 101 at 2
% 0.12/0.38 Id : 487, {_}: inverse (inverse ?817) =<= multiply (divide ?817 ?818) ?818 [818, 817] by Demod 476 with 101 at 2
% 0.12/0.38 Id : 510, {_}: ?876 =<= inverse (inverse ?876) [876] by Demod 509 with 487 at 3
% 0.12/0.38 Id : 523, {_}: multiply (multiply (inverse ?126) ?126) ?127 =>= ?127 [127, 126] by Demod 49 with 510 at 3
% 0.12/0.38 Id : 555, {_}: a2 === a2 [] by Demod 1 with 523 at 2
% 0.12/0.38 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 3012: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.028652 using nrkbo
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