TSTP Solution File: GRP596-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n005.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 10:30:55 EDT 2022
% Result : Unsatisfiable 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP596-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.14/0.36 % Computer : n005.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 : Mon Jun 13 11:07:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 5221: Facts:
% 0.14/0.36 5221: Id : 2, {_}:
% 0.14/0.36 inverse
% 0.14/0.36 (double_divide (double_divide ?2 ?3)
% 0.14/0.36 (inverse (double_divide ?2 (inverse (double_divide ?4 ?3)))))
% 0.14/0.36 =>=
% 0.14/0.36 ?4
% 0.14/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.14/0.36 5221: Id : 3, {_}:
% 0.14/0.36 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.14/0.36 [7, 6] by multiply ?6 ?7
% 0.14/0.36 5221: Goal:
% 0.14/0.36 5221: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.21/0.41 Statistics :
% 0.21/0.41 Max weight : 23
% 0.21/0.41 Found proof, 0.053370s
% 0.21/0.41 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.41 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.41 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.21/0.41 Id : 2, {_}: inverse (double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse (double_divide ?4 ?3))))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.21/0.41 Id : 4, {_}: inverse (double_divide (double_divide ?9 ?10) (inverse (double_divide ?9 (inverse (double_divide ?11 ?10))))) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.21/0.41 Id : 6, {_}: inverse (double_divide (double_divide (double_divide ?18 ?19) (inverse (double_divide ?20 ?19))) ?20) =>= ?18 [20, 19, 18] by Super 4 with 2 at 2,1,2
% 0.21/0.41 Id : 13, {_}: multiply ?20 (double_divide (double_divide ?18 ?19) (inverse (double_divide ?20 ?19))) =>= ?18 [19, 18, 20] by Demod 6 with 3 at 2
% 0.21/0.41 Id : 14, {_}: multiply ?20 (double_divide (double_divide ?18 ?19) (multiply ?19 ?20)) =>= ?18 [19, 18, 20] by Demod 13 with 3 at 2,2,2
% 0.21/0.41 Id : 8, {_}: multiply (inverse (double_divide ?2 (inverse (double_divide ?4 ?3)))) (double_divide ?2 ?3) =>= ?4 [3, 4, 2] by Demod 2 with 3 at 2
% 0.21/0.41 Id : 9, {_}: multiply (multiply (inverse (double_divide ?4 ?3)) ?2) (double_divide ?2 ?3) =>= ?4 [2, 3, 4] by Demod 8 with 3 at 1,2
% 0.21/0.41 Id : 10, {_}: multiply (multiply (multiply ?3 ?4) ?2) (double_divide ?2 ?3) =>= ?4 [2, 4, 3] by Demod 9 with 3 at 1,1,2
% 0.21/0.41 Id : 16, {_}: multiply ?35 (double_divide (double_divide (double_divide ?35 ?36) (multiply ?36 (multiply ?37 ?38))) ?37) =>= ?38 [38, 37, 36, 35] by Super 10 with 14 at 1,2
% 0.21/0.41 Id : 17, {_}: multiply ?40 (double_divide (double_divide ?41 ?42) (multiply ?42 ?40)) =>= ?41 [42, 41, 40] by Demod 13 with 3 at 2,2,2
% 0.21/0.41 Id : 18, {_}: multiply (double_divide ?44 ?45) (double_divide (double_divide ?46 (multiply (multiply ?45 ?47) ?44)) ?47) =>= ?46 [47, 46, 45, 44] by Super 17 with 10 at 2,2,2
% 0.21/0.41 Id : 32, {_}: double_divide (double_divide (multiply ?119 ?120) ?121) (multiply ?121 ?119) =>= ?120 [121, 120, 119] by Super 16 with 18 at 2
% 0.21/0.41 Id : 47, {_}: multiply ?197 (double_divide ?198 (multiply (multiply ?199 ?200) ?197)) =>= double_divide (multiply ?200 ?198) ?199 [200, 199, 198, 197] by Super 14 with 32 at 1,2,2
% 0.21/0.41 Id : 131, {_}: double_divide (multiply ?589 (double_divide ?590 (multiply ?591 ?589))) ?591 =>= ?590 [591, 590, 589] by Super 14 with 47 at 2
% 0.21/0.41 Id : 46, {_}: multiply (multiply ?193 ?194) (double_divide (multiply ?194 ?195) ?193) =>= inverse ?195 [195, 194, 193] by Super 3 with 32 at 1,3
% 0.21/0.41 Id : 98, {_}: multiply (inverse ?455) (double_divide (double_divide (multiply ?456 ?455) ?457) ?457) =>= ?456 [457, 456, 455] by Super 10 with 46 at 1,2
% 0.21/0.41 Id : 313, {_}: double_divide ?1367 ?1368 =<= double_divide (multiply ?1367 ?1369) (multiply ?1368 (inverse ?1369)) [1369, 1368, 1367] by Super 131 with 98 at 1,2
% 0.21/0.41 Id : 49, {_}: multiply (double_divide ?205 ?206) (double_divide ?207 ?208) =<= double_divide (multiply ?205 ?207) (multiply ?206 ?208) [208, 207, 206, 205] by Super 18 with 32 at 1,2,2
% 0.21/0.42 Id : 364, {_}: double_divide ?1549 ?1550 =<= multiply (double_divide ?1549 ?1550) (double_divide ?1551 (inverse ?1551)) [1551, 1550, 1549] by Demod 313 with 49 at 3
% 0.21/0.42 Id : 367, {_}: double_divide (double_divide (multiply ?1565 ?1566) ?1567) (multiply ?1567 ?1565) =?= multiply ?1566 (double_divide ?1568 (inverse ?1568)) [1568, 1567, 1566, 1565] by Super 364 with 32 at 1,3
% 0.21/0.42 Id : 375, {_}: ?1566 =<= multiply ?1566 (double_divide ?1568 (inverse ?1568)) [1568, 1566] by Demod 367 with 32 at 2
% 0.21/0.42 Id : 389, {_}: multiply (multiply (inverse ?1627) ?1628) ?1627 =>= ?1628 [1628, 1627] by Super 10 with 375 at 2
% 0.21/0.42 Id : 516, {_}: multiply ?2038 (double_divide ?2039 ?2040) =<= double_divide (multiply ?2040 ?2039) (inverse ?2038) [2040, 2039, 2038] by Super 47 with 389 at 2,2,2
% 0.21/0.42 Id : 523, {_}: multiply ?2076 (double_divide (double_divide (multiply ?2077 ?2078) ?2079) (multiply ?2079 ?2077)) =>= double_divide (inverse ?2078) (inverse ?2076) [2079, 2078, 2077, 2076] by Super 516 with 46 at 1,3
% 0.21/0.42 Id : 539, {_}: multiply ?2076 ?2078 =<= double_divide (inverse ?2078) (inverse ?2076) [2078, 2076] by Demod 523 with 32 at 2,2
% 0.21/0.42 Id : 432, {_}: multiply (inverse (double_divide ?1786 (inverse ?1786))) ?1787 =>= ?1787 [1787, 1786] by Super 375 with 389 at 3
% 0.21/0.42 Id : 445, {_}: multiply (multiply (inverse ?1786) ?1786) ?1787 =>= ?1787 [1787, 1786] by Demod 432 with 3 at 1,2
% 0.21/0.42 Id : 626, {_}: double_divide (multiply ?2397 ?2398) (inverse ?2397) =>= inverse ?2398 [2398, 2397] by Super 46 with 445 at 2
% 0.21/0.42 Id : 429, {_}: multiply ?1774 (double_divide ?1775 ?1776) =<= double_divide (multiply ?1776 ?1775) (inverse ?1774) [1776, 1775, 1774] by Super 47 with 389 at 2,2,2
% 0.21/0.42 Id : 650, {_}: multiply ?2397 (double_divide ?2398 ?2397) =>= inverse ?2398 [2398, 2397] by Demod 626 with 429 at 2
% 0.21/0.42 Id : 663, {_}: multiply (inverse ?2478) ?2479 =<= double_divide ?2478 (inverse ?2479) [2479, 2478] by Super 389 with 650 at 1,2
% 0.21/0.42 Id : 725, {_}: multiply ?2076 ?2078 =<= multiply (inverse (inverse ?2078)) ?2076 [2078, 2076] by Demod 539 with 663 at 3
% 0.21/0.42 Id : 778, {_}: multiply (inverse ?2763) ?2764 =<= inverse (multiply (inverse ?2764) ?2763) [2764, 2763] by Super 3 with 663 at 1,3
% 0.21/0.42 Id : 788, {_}: multiply (inverse (double_divide ?2805 (inverse ?2806))) ?2806 =>= inverse (inverse ?2805) [2806, 2805] by Super 778 with 650 at 1,3
% 0.21/0.42 Id : 805, {_}: multiply (multiply (inverse ?2806) ?2805) ?2806 =>= inverse (inverse ?2805) [2805, 2806] by Demod 788 with 3 at 1,2
% 0.21/0.42 Id : 806, {_}: ?2805 =<= inverse (inverse ?2805) [2805] by Demod 805 with 389 at 2
% 0.21/0.42 Id : 811, {_}: multiply ?2076 ?2078 =?= multiply ?2078 ?2076 [2078, 2076] by Demod 725 with 806 at 1,3
% 0.21/0.42 Id : 832, {_}: multiply a b === multiply a b [] by Demod 1 with 811 at 3
% 0.21/0.42 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.21/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.42 5224: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.056013 using nrkbo
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