TSTP Solution File: GRP435-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP435-1 : 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 10:30:17 EDT 2022
% Result : Unsatisfiable 3.66s 1.23s
% Output : CNFRefutation 3.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP435-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 22:02:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 22238: Facts:
% 0.13/0.35 22238: Id : 2, {_}:
% 0.13/0.35 inverse
% 0.13/0.35 (multiply
% 0.13/0.35 (multiply (multiply (inverse (multiply (multiply ?2 ?3) ?4)) ?2)
% 0.13/0.35 ?3) (multiply ?5 (inverse ?5)))
% 0.13/0.35 =>=
% 0.13/0.35 ?4
% 0.13/0.35 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.13/0.35 22238: Goal:
% 0.13/0.35 22238: Id : 1, {_}:
% 0.13/0.35 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.35 [] by prove_these_axioms_3
% 3.66/1.23 Statistics :
% 3.66/1.23 Max weight : 41
% 3.66/1.23 Found proof, 0.881780s
% 3.66/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 3.66/1.23 % SZS output start CNFRefutation for theBenchmark.p
% 3.66/1.23 Id : 3, {_}: inverse (multiply (multiply (multiply (inverse (multiply (multiply ?7 ?8) ?9)) ?7) ?8) (multiply ?10 (inverse ?10))) =>= ?9 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 3.66/1.23 Id : 2, {_}: inverse (multiply (multiply (multiply (inverse (multiply (multiply ?2 ?3) ?4)) ?2) ?3) (multiply ?5 (inverse ?5))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 3.66/1.23 Id : 5, {_}: inverse (multiply (multiply (multiply ?20 (multiply (inverse (multiply (multiply ?21 ?22) ?20)) ?21)) ?22) (multiply ?23 (inverse ?23))) =?= multiply ?24 (inverse ?24) [24, 23, 22, 21, 20] by Super 3 with 2 at 1,1,1,1,2
% 3.66/1.23 Id : 78, {_}: inverse (multiply (multiply (multiply (inverse (inverse (multiply (multiply (multiply ?769 (multiply (inverse (multiply (multiply ?770 ?771) ?769)) ?770)) ?771) (multiply ?772 (inverse ?772))))) ?773) ?774) (multiply ?775 (inverse ?775))) =>= inverse (multiply ?773 ?774) [775, 774, 773, 772, 771, 770, 769] by Super 2 with 5 at 1,1,1,1,1,2
% 3.66/1.23 Id : 178, {_}: inverse (multiply (multiply (multiply (inverse (multiply ?1926 (inverse ?1926))) ?1927) ?1928) (multiply ?1929 (inverse ?1929))) =>= inverse (multiply ?1927 ?1928) [1929, 1928, 1927, 1926] by Super 78 with 5 at 1,1,1,1,1,2
% 3.66/1.23 Id : 202, {_}: multiply ?2140 (inverse ?2140) =?= inverse (multiply (multiply (inverse (multiply (multiply ?2141 ?2142) (inverse (multiply ?2143 (inverse ?2143))))) ?2141) ?2142) [2143, 2142, 2141, 2140] by Super 178 with 5 at 2
% 3.66/1.23 Id : 251, {_}: multiply ?2579 (inverse ?2579) =?= inverse (multiply (multiply (inverse (multiply (multiply ?2580 ?2581) (inverse (multiply ?2582 (inverse ?2582))))) ?2580) ?2581) [2582, 2581, 2580, 2579] by Super 178 with 5 at 2
% 3.66/1.23 Id : 270, {_}: multiply ?2736 (inverse ?2736) =?= multiply ?2737 (inverse ?2737) [2737, 2736] by Super 251 with 202 at 3
% 3.66/1.23 Id : 366, {_}: multiply ?3668 (inverse ?3668) =?= inverse (multiply (multiply (inverse (multiply ?3669 (inverse ?3669))) ?3670) (inverse ?3670)) [3670, 3669, 3668] by Super 202 with 270 at 1,1,1,1,3
% 3.66/1.23 Id : 2273, {_}: inverse (multiply (multiply (multiply (multiply ?17696 (inverse ?17696)) (inverse (multiply ?17697 (inverse ?17697)))) ?17698) (multiply ?17699 (inverse ?17699))) =>= inverse ?17698 [17699, 17698, 17697, 17696] by Super 2 with 366 at 1,1,1,1,2
% 3.66/1.23 Id : 2370, {_}: inverse (multiply (multiply (multiply ?18448 (inverse ?18448)) ?18449) (multiply ?18450 (inverse ?18450))) =>= inverse ?18449 [18450, 18449, 18448] by Super 2273 with 270 at 1,1,1,2
% 3.66/1.23 Id : 396, {_}: inverse (multiply (multiply (multiply (inverse (multiply (multiply ?3874 (inverse ?3874)) ?3875)) ?3876) (inverse ?3876)) (multiply ?3877 (inverse ?3877))) =>= ?3875 [3877, 3876, 3875, 3874] by Super 2 with 270 at 1,1,1,1,1,1,2
% 3.66/1.23 Id : 2459, {_}: inverse (inverse (inverse (inverse (multiply (multiply ?18937 (inverse ?18937)) ?18938)))) =>= ?18938 [18938, 18937] by Super 396 with 2370 at 2
% 3.66/1.23 Id : 2745, {_}: inverse (inverse (inverse (inverse (multiply (multiply ?20511 (inverse ?20511)) ?20512)))) =>= ?20512 [20512, 20511] by Super 396 with 2370 at 2
% 3.66/1.23 Id : 524, {_}: inverse (multiply (multiply (multiply (multiply ?4668 (inverse ?4668)) (inverse (multiply ?4669 (inverse ?4669)))) ?4670) (multiply ?4671 (inverse ?4671))) =>= inverse ?4670 [4671, 4670, 4669, 4668] by Super 2 with 366 at 1,1,1,1,2
% 3.66/1.23 Id : 2790, {_}: inverse (inverse (inverse (inverse (inverse (multiply (multiply ?20755 (inverse ?20755)) (inverse (multiply ?20756 (inverse ?20756)))))))) =?= multiply ?20757 (inverse ?20757) [20757, 20756, 20755] by Super 2745 with 524 at 1,1,1,2
% 3.66/1.23 Id : 2806, {_}: inverse (inverse (multiply ?20756 (inverse ?20756))) =?= multiply ?20757 (inverse ?20757) [20757, 20756] by Demod 2790 with 2459 at 1,2
% 3.66/1.23 Id : 3135, {_}: inverse (inverse (inverse (inverse (multiply (inverse (inverse (multiply ?24915 (inverse ?24915)))) ?24916)))) =>= ?24916 [24916, 24915] by Super 2459 with 2806 at 1,1,1,1,1,2
% 3.66/1.23 Id : 102, {_}: inverse (multiply (multiply (multiply (inverse (multiply ?1051 (inverse ?1051))) ?1052) ?1053) (multiply ?1054 (inverse ?1054))) =>= inverse (multiply ?1052 ?1053) [1054, 1053, 1052, 1051] by Super 78 with 5 at 1,1,1,1,1,2
% 3.66/1.23 Id : 2429, {_}: inverse ?18714 =<= inverse (multiply (inverse (inverse (multiply ?18715 (inverse ?18715)))) ?18714) [18715, 18714] by Super 102 with 2370 at 2
% 3.66/1.23 Id : 3402, {_}: inverse (inverse (inverse (inverse ?24916))) =>= ?24916 [24916] by Demod 3135 with 2429 at 1,1,1,2
% 3.66/1.23 Id : 3403, {_}: multiply (multiply ?18937 (inverse ?18937)) ?18938 =>= ?18938 [18938, 18937] by Demod 2459 with 3402 at 2
% 3.66/1.23 Id : 3410, {_}: inverse (multiply ?18449 (multiply ?18450 (inverse ?18450))) =>= inverse ?18449 [18450, 18449] by Demod 2370 with 3403 at 1,1,2
% 3.66/1.23 Id : 3417, {_}: inverse (multiply (multiply (inverse (multiply (multiply ?2 ?3) ?4)) ?2) ?3) =>= ?4 [4, 3, 2] by Demod 2 with 3410 at 2
% 3.66/1.23 Id : 3457, {_}: inverse (inverse (inverse (inverse ?26488))) =>= ?26488 [26488] by Demod 3135 with 2429 at 1,1,1,2
% 3.66/1.23 Id : 3463, {_}: inverse (inverse (inverse (inverse ?26515))) =<= multiply ?26515 (multiply ?26516 (inverse ?26516)) [26516, 26515] by Super 3457 with 3410 at 1,1,1,2
% 3.66/1.23 Id : 3484, {_}: ?26515 =<= multiply ?26515 (multiply ?26516 (inverse ?26516)) [26516, 26515] by Demod 3463 with 3402 at 2
% 3.66/1.23 Id : 3528, {_}: inverse (multiply (multiply (inverse (multiply ?26767 ?26768)) ?26767) (multiply ?26769 (inverse ?26769))) =>= ?26768 [26769, 26768, 26767] by Super 3417 with 3484 at 1,1,1,1,1,2
% 3.66/1.23 Id : 4268, {_}: inverse (multiply (inverse (multiply ?29749 ?29750)) ?29749) =>= ?29750 [29750, 29749] by Demod 3528 with 3484 at 1,2
% 3.66/1.23 Id : 4270, {_}: inverse (multiply (inverse ?29755) (multiply ?29756 (inverse ?29756))) =>= ?29755 [29756, 29755] by Super 4268 with 3403 at 1,1,1,2
% 3.66/1.23 Id : 4302, {_}: inverse (inverse ?29755) =>= ?29755 [29755] by Demod 4270 with 3484 at 1,2
% 3.66/1.23 Id : 4333, {_}: inverse (inverse ?29933) =>= ?29933 [29933] by Demod 4270 with 3484 at 1,2
% 3.66/1.23 Id : 3626, {_}: inverse (multiply (inverse (multiply ?26767 ?26768)) ?26767) =>= ?26768 [26768, 26767] by Demod 3528 with 3484 at 1,2
% 3.66/1.23 Id : 4775, {_}: inverse ?31585 =<= multiply (inverse (multiply ?31586 ?31585)) ?31586 [31586, 31585] by Super 4333 with 3626 at 1,2
% 3.66/1.23 Id : 4342, {_}: inverse ?29982 =<= multiply (inverse (multiply ?29983 ?29982)) ?29983 [29983, 29982] by Super 4333 with 3626 at 1,2
% 3.66/1.23 Id : 4790, {_}: inverse ?31642 =<= multiply (inverse (inverse ?31643)) (inverse (multiply ?31642 ?31643)) [31643, 31642] by Super 4775 with 4342 at 1,1,3
% 3.66/1.23 Id : 4826, {_}: inverse ?31642 =<= multiply ?31643 (inverse (multiply ?31642 ?31643)) [31643, 31642] by Demod 4790 with 4302 at 1,3
% 3.66/1.23 Id : 5797, {_}: inverse (multiply (multiply (inverse (inverse ?35426)) ?35427) ?35428) =>= inverse (multiply ?35426 (multiply ?35427 ?35428)) [35428, 35427, 35426] by Super 3417 with 4826 at 1,1,1,1,2
% 3.66/1.23 Id : 5877, {_}: inverse (multiply (multiply ?35426 ?35427) ?35428) =>= inverse (multiply ?35426 (multiply ?35427 ?35428)) [35428, 35427, 35426] by Demod 5797 with 4302 at 1,1,1,2
% 3.66/1.23 Id : 6151, {_}: inverse (inverse (multiply ?36169 (multiply ?36170 ?36171))) =>= multiply (multiply ?36169 ?36170) ?36171 [36171, 36170, 36169] by Super 4302 with 5877 at 1,2
% 3.66/1.23 Id : 6199, {_}: multiply ?36169 (multiply ?36170 ?36171) =<= multiply (multiply ?36169 ?36170) ?36171 [36171, 36170, 36169] by Demod 6151 with 4302 at 2
% 3.66/1.23 Id : 6340, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 6199 at 2
% 3.66/1.23 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 3.66/1.23 % SZS output end CNFRefutation for theBenchmark.p
% 3.66/1.23 22239: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.882697 using kbo
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