TSTP Solution File: GRP586-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n025.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 10:30:53 EDT 2022
% Result : Unsatisfiable 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP586-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 23:36:54 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 26575: Facts:
% 0.11/0.33 26575: Id : 2, {_}:
% 0.11/0.33 double_divide ?2
% 0.11/0.33 (inverse
% 0.11/0.33 (double_divide
% 0.11/0.33 (inverse (double_divide (double_divide ?2 ?3) (inverse ?4)))
% 0.11/0.33 ?3))
% 0.11/0.33 =>=
% 0.11/0.33 ?4
% 0.11/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.11/0.33 26575: Id : 3, {_}:
% 0.11/0.33 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.11/0.33 [7, 6] by multiply ?6 ?7
% 0.11/0.33 26575: Goal:
% 0.11/0.33 26575: Id : 1, {_}:
% 0.11/0.33 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.11/0.33 [] by prove_these_axioms_2
% 0.18/0.44 Statistics :
% 0.18/0.44 Max weight : 37
% 0.18/0.44 Found proof, 0.107197s
% 0.18/0.44 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.44 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.44 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 0.18/0.44 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.18/0.44 Id : 2, {_}: double_divide ?2 (inverse (double_divide (inverse (double_divide (double_divide ?2 ?3) (inverse ?4))) ?3)) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.44 Id : 4, {_}: double_divide ?9 (inverse (double_divide (inverse (double_divide (double_divide ?9 ?10) (inverse ?11))) ?10)) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.18/0.44 Id : 5, {_}: double_divide ?13 (inverse (double_divide (inverse (double_divide ?14 (inverse ?15))) (inverse (double_divide (inverse (double_divide (double_divide ?13 ?16) (inverse ?14))) ?16)))) =>= ?15 [16, 15, 14, 13] by Super 4 with 2 at 1,1,1,1,2,2
% 0.18/0.44 Id : 14, {_}: double_divide ?13 (multiply (inverse (double_divide (inverse (double_divide (double_divide ?13 ?16) (inverse ?14))) ?16)) (inverse (double_divide ?14 (inverse ?15)))) =>= ?15 [15, 14, 16, 13] by Demod 5 with 3 at 2,2
% 0.18/0.44 Id : 15, {_}: double_divide ?13 (multiply (multiply ?16 (inverse (double_divide (double_divide ?13 ?16) (inverse ?14)))) (inverse (double_divide ?14 (inverse ?15)))) =>= ?15 [15, 14, 16, 13] by Demod 14 with 3 at 1,2,2
% 0.18/0.44 Id : 16, {_}: double_divide ?13 (multiply (multiply ?16 (inverse (double_divide (double_divide ?13 ?16) (inverse ?14)))) (multiply (inverse ?15) ?14)) =>= ?15 [15, 14, 16, 13] by Demod 15 with 3 at 2,2,2
% 0.18/0.44 Id : 20, {_}: double_divide ?51 (multiply (multiply ?52 (multiply (inverse ?53) (double_divide ?51 ?52))) (multiply (inverse ?54) ?53)) =>= ?54 [54, 53, 52, 51] by Demod 16 with 3 at 2,1,2,2
% 0.18/0.44 Id : 17, {_}: double_divide ?13 (multiply (multiply ?16 (multiply (inverse ?14) (double_divide ?13 ?16))) (multiply (inverse ?15) ?14)) =>= ?15 [15, 14, 16, 13] by Demod 16 with 3 at 2,1,2,2
% 0.18/0.44 Id : 23, {_}: double_divide ?68 (multiply (multiply (multiply (multiply ?69 (multiply (inverse ?70) (double_divide ?68 ?69))) (multiply (inverse ?71) ?70)) (multiply (inverse ?72) ?71)) (multiply (inverse ?73) ?72)) =>= ?73 [73, 72, 71, 70, 69, 68] by Super 20 with 17 at 2,2,1,2,2
% 0.18/0.44 Id : 8, {_}: double_divide ?2 (multiply ?3 (inverse (double_divide (double_divide ?2 ?3) (inverse ?4)))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 0.18/0.44 Id : 9, {_}: double_divide ?2 (multiply ?3 (multiply (inverse ?4) (double_divide ?2 ?3))) =>= ?4 [4, 3, 2] by Demod 8 with 3 at 2,2,2
% 0.18/0.44 Id : 12, {_}: multiply (multiply ?33 (multiply (inverse ?34) (double_divide ?35 ?33))) ?35 =>= inverse ?34 [35, 34, 33] by Super 11 with 9 at 1,3
% 0.18/0.44 Id : 26, {_}: double_divide (multiply (inverse ?83) ?84) (inverse ?84) =>= ?83 [84, 83] by Super 17 with 12 at 2,2
% 0.18/0.44 Id : 34, {_}: multiply (inverse ?113) (multiply (inverse ?114) ?113) =>= inverse ?114 [114, 113] by Super 3 with 26 at 1,3
% 0.18/0.44 Id : 60, {_}: double_divide (inverse ?219) (inverse (multiply (inverse ?219) ?220)) =>= ?220 [220, 219] by Super 26 with 34 at 1,2
% 0.18/0.44 Id : 72, {_}: double_divide (inverse ?259) (inverse (multiply (inverse ?259) ?260)) =>= ?260 [260, 259] by Super 26 with 34 at 1,2
% 0.18/0.44 Id : 109, {_}: double_divide (inverse ?400) (inverse (inverse ?401)) =>= multiply (inverse ?401) ?400 [401, 400] by Super 72 with 34 at 1,2,2
% 0.18/0.44 Id : 110, {_}: double_divide (inverse ?403) (inverse (multiply ?404 ?405)) =>= multiply (inverse (double_divide ?405 ?404)) ?403 [405, 404, 403] by Super 109 with 3 at 1,2,2
% 0.18/0.44 Id : 113, {_}: double_divide (inverse ?403) (inverse (multiply ?404 ?405)) =>= multiply (multiply ?404 ?405) ?403 [405, 404, 403] by Demod 110 with 3 at 1,3
% 0.18/0.44 Id : 179, {_}: multiply (multiply (inverse ?219) ?220) ?219 =>= ?220 [220, 219] by Demod 60 with 113 at 2
% 0.18/0.44 Id : 187, {_}: double_divide (inverse ?658) (inverse (multiply ?659 ?660)) =>= multiply (multiply ?659 ?660) ?658 [660, 659, 658] by Demod 110 with 3 at 1,3
% 0.18/0.44 Id : 192, {_}: double_divide (inverse ?681) (inverse ?682) =<= multiply (multiply (multiply (inverse ?683) ?682) ?683) ?681 [683, 682, 681] by Super 187 with 179 at 1,2,2
% 0.18/0.44 Id : 203, {_}: double_divide (inverse ?681) (inverse ?682) =>= multiply ?682 ?681 [682, 681] by Demod 192 with 179 at 1,3
% 0.18/0.44 Id : 225, {_}: multiply (inverse ?767) (inverse ?768) =>= inverse (multiply ?767 ?768) [768, 767] by Super 3 with 203 at 1,3
% 0.18/0.44 Id : 227, {_}: multiply (multiply ?774 ?775) (inverse ?776) =>= inverse (multiply (double_divide ?775 ?774) ?776) [776, 775, 774] by Super 225 with 3 at 1,2
% 0.18/0.44 Id : 432, {_}: inverse (multiply (double_divide ?1446 (inverse (inverse ?1447))) ?1447) =>= ?1446 [1447, 1446] by Super 179 with 227 at 2
% 0.18/0.44 Id : 208, {_}: multiply (inverse ?704) (inverse ?705) =>= inverse (multiply ?704 ?705) [705, 704] by Super 3 with 203 at 1,3
% 0.18/0.44 Id : 218, {_}: multiply (inverse (multiply ?739 ?740)) ?739 =>= inverse ?740 [740, 739] by Super 179 with 208 at 1,2
% 0.18/0.44 Id : 672, {_}: multiply (multiply ?2198 (inverse ?2199)) ?2200 =>= inverse (multiply (double_divide ?2200 ?2198) ?2199) [2200, 2199, 2198] by Super 12 with 218 at 2,1,2
% 0.18/0.44 Id : 678, {_}: multiply (inverse (multiply ?2227 ?2228)) ?2229 =<= inverse (multiply (double_divide ?2229 (inverse ?2227)) ?2228) [2229, 2228, 2227] by Super 672 with 208 at 1,2
% 0.18/0.44 Id : 1337, {_}: multiply (inverse (multiply (inverse ?1447) ?1447)) ?1446 =>= ?1446 [1446, 1447] by Demod 432 with 678 at 2
% 0.18/0.44 Id : 1361, {_}: multiply ?3613 (multiply (inverse ?3614) ?3614) =>= ?3613 [3614, 3613] by Super 179 with 1337 at 1,2
% 0.18/0.44 Id : 1497, {_}: double_divide ?3885 (multiply (multiply (multiply (multiply ?3886 (multiply (inverse ?3887) (double_divide ?3885 ?3886))) (multiply (inverse ?3888) ?3887)) (multiply (inverse (multiply (inverse ?3889) ?3889)) ?3888)) (inverse ?3890)) =>= ?3890 [3890, 3889, 3888, 3887, 3886, 3885] by Super 23 with 1361 at 2,2,2
% 0.18/0.44 Id : 340, {_}: double_divide ?1204 (multiply ?1205 (inverse ?1206)) =>= multiply (double_divide ?1204 ?1205) ?1206 [1206, 1205, 1204] by Super 9 with 218 at 2,2,2
% 0.18/0.44 Id : 1523, {_}: multiply (double_divide ?3885 (multiply (multiply (multiply ?3886 (multiply (inverse ?3887) (double_divide ?3885 ?3886))) (multiply (inverse ?3888) ?3887)) (multiply (inverse (multiply (inverse ?3889) ?3889)) ?3888))) ?3890 =>= ?3890 [3890, 3889, 3888, 3887, 3886, 3885] by Demod 1497 with 340 at 2
% 0.18/0.44 Id : 19, {_}: double_divide ?45 (multiply (multiply (multiply ?46 (multiply (inverse ?47) (double_divide ?45 ?46))) (multiply (inverse ?48) ?47)) (multiply (inverse ?49) ?48)) =>= ?49 [49, 48, 47, 46, 45] by Super 9 with 17 at 2,2,2,2
% 0.18/0.44 Id : 1524, {_}: multiply (multiply (inverse ?3889) ?3889) ?3890 =>= ?3890 [3890, 3889] by Demod 1523 with 19 at 1,2
% 0.18/0.44 Id : 1626, {_}: a2 === a2 [] by Demod 1 with 1524 at 2
% 0.18/0.44 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.18/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.44 26575: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.11 using nrkbo
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