TSTP Solution File: GRP610-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP610-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n010.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 10:30:59 EDT 2022
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP610-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 07:50:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 23532: Facts:
% 0.12/0.33 23532: Id : 2, {_}:
% 0.12/0.33 inverse
% 0.12/0.33 (double_divide
% 0.12/0.33 (inverse (double_divide (inverse (double_divide ?2 ?3)) ?4))
% 0.12/0.33 (double_divide ?2 ?4))
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 23532: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.12/0.33 [7, 6] by multiply ?6 ?7
% 0.12/0.33 23532: Goal:
% 0.12/0.33 23532: Id : 1, {_}:
% 0.12/0.33 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.33 [] by prove_these_axioms_2
% 0.12/0.39 Statistics :
% 0.12/0.39 Max weight : 23
% 0.12/0.39 Found proof, 0.053757s
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.39 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.12/0.39 Id : 2, {_}: inverse (double_divide (inverse (double_divide (inverse (double_divide ?2 ?3)) ?4)) (double_divide ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.39 Id : 4, {_}: inverse (double_divide (inverse (double_divide (inverse (double_divide ?9 ?10)) ?11)) (double_divide ?9 ?11)) =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.12/0.39 Id : 6, {_}: inverse (double_divide ?18 (double_divide (inverse (double_divide ?19 ?18)) (double_divide ?19 ?20))) =>= ?20 [20, 19, 18] by Super 4 with 2 at 1,1,2
% 0.12/0.39 Id : 13, {_}: multiply (double_divide (inverse (double_divide ?19 ?18)) (double_divide ?19 ?20)) ?18 =>= ?20 [20, 18, 19] by Demod 6 with 3 at 2
% 0.12/0.39 Id : 14, {_}: multiply (double_divide (multiply ?18 ?19) (double_divide ?19 ?20)) ?18 =>= ?20 [20, 19, 18] by Demod 13 with 3 at 1,1,2
% 0.12/0.39 Id : 8, {_}: multiply (double_divide ?2 ?4) (inverse (double_divide (inverse (double_divide ?2 ?3)) ?4)) =>= ?3 [3, 4, 2] by Demod 2 with 3 at 2
% 0.12/0.39 Id : 9, {_}: multiply (double_divide ?2 ?4) (multiply ?4 (inverse (double_divide ?2 ?3))) =>= ?3 [3, 4, 2] by Demod 8 with 3 at 2,2
% 0.12/0.39 Id : 10, {_}: multiply (double_divide ?2 ?4) (multiply ?4 (multiply ?3 ?2)) =>= ?3 [3, 4, 2] by Demod 9 with 3 at 2,2,2
% 0.12/0.39 Id : 16, {_}: multiply (double_divide ?35 (double_divide (multiply (multiply ?36 ?35) ?37) (double_divide ?37 ?38))) ?38 =>= ?36 [38, 37, 36, 35] by Super 10 with 14 at 2,2
% 0.12/0.39 Id : 17, {_}: multiply (double_divide (multiply ?40 ?41) (double_divide ?41 ?42)) ?40 =>= ?42 [42, 41, 40] by Demod 13 with 3 at 1,1,2
% 0.12/0.39 Id : 18, {_}: multiply (double_divide ?44 (double_divide (multiply ?45 (multiply ?44 ?46)) ?47)) (double_divide ?46 ?45) =>= ?47 [47, 46, 45, 44] by Super 17 with 10 at 1,1,2
% 0.12/0.39 Id : 32, {_}: double_divide (multiply ?119 ?120) (double_divide ?120 (multiply ?121 ?119)) =>= ?121 [121, 120, 119] by Super 16 with 18 at 2
% 0.12/0.39 Id : 47, {_}: multiply (double_divide (multiply ?197 (multiply ?198 ?199)) ?200) ?197 =>= double_divide ?199 (multiply ?200 ?198) [200, 199, 198, 197] by Super 14 with 32 at 2,1,2
% 0.12/0.39 Id : 131, {_}: double_divide ?589 (multiply (double_divide (multiply ?590 ?589) ?591) ?590) =>= ?591 [591, 590, 589] by Super 14 with 47 at 2
% 0.12/0.39 Id : 46, {_}: multiply (double_divide ?193 (multiply ?194 ?195)) (multiply ?195 ?193) =>= inverse ?194 [195, 194, 193] by Super 3 with 32 at 1,3
% 0.12/0.39 Id : 98, {_}: multiply (double_divide ?455 (double_divide ?455 (multiply ?456 ?457))) (inverse ?456) =>= ?457 [457, 456, 455] by Super 10 with 46 at 2,2
% 0.12/0.39 Id : 313, {_}: double_divide ?1367 ?1368 =<= double_divide (multiply (inverse ?1369) ?1367) (multiply ?1369 ?1368) [1369, 1368, 1367] by Super 131 with 98 at 2,2
% 0.12/0.39 Id : 50, {_}: multiply (double_divide ?211 ?212) (double_divide ?213 ?214) =<= double_divide (multiply ?211 ?213) (multiply ?212 ?214) [214, 213, 212, 211] by Super 18 with 32 at 2,1,2
% 0.12/0.39 Id : 364, {_}: double_divide ?1549 ?1550 =<= multiply (double_divide (inverse ?1551) ?1551) (double_divide ?1549 ?1550) [1551, 1550, 1549] by Demod 313 with 50 at 3
% 0.12/0.39 Id : 365, {_}: double_divide (multiply ?1553 ?1554) (double_divide ?1554 (multiply ?1555 ?1553)) =?= multiply (double_divide (inverse ?1556) ?1556) ?1555 [1556, 1555, 1554, 1553] by Super 364 with 32 at 2,3
% 0.12/0.39 Id : 374, {_}: ?1555 =<= multiply (double_divide (inverse ?1556) ?1556) ?1555 [1556, 1555] by Demod 365 with 32 at 2
% 0.12/0.39 Id : 389, {_}: multiply ?1627 (multiply ?1628 (inverse ?1627)) =>= ?1628 [1628, 1627] by Super 10 with 374 at 2
% 0.12/0.39 Id : 516, {_}: multiply (double_divide ?2038 ?2039) ?2040 =<= double_divide (inverse ?2040) (multiply ?2039 ?2038) [2040, 2039, 2038] by Super 47 with 389 at 1,1,2
% 0.12/0.39 Id : 521, {_}: multiply (double_divide (multiply ?2064 ?2065) (double_divide ?2065 (multiply ?2066 ?2064))) ?2067 =>= double_divide (inverse ?2067) (inverse ?2066) [2067, 2066, 2065, 2064] by Super 516 with 46 at 2,3
% 0.12/0.39 Id : 537, {_}: multiply ?2066 ?2067 =<= double_divide (inverse ?2067) (inverse ?2066) [2067, 2066] by Demod 521 with 32 at 1,2
% 0.12/0.39 Id : 432, {_}: multiply ?1786 (inverse (double_divide (inverse ?1787) ?1787)) =>= ?1786 [1787, 1786] by Super 374 with 389 at 3
% 0.12/0.39 Id : 445, {_}: multiply ?1786 (multiply ?1787 (inverse ?1787)) =>= ?1786 [1787, 1786] by Demod 432 with 3 at 2,2
% 0.12/0.39 Id : 626, {_}: double_divide (inverse ?2397) (multiply ?2398 ?2397) =>= inverse ?2398 [2398, 2397] by Super 46 with 445 at 2
% 0.12/0.39 Id : 429, {_}: multiply (double_divide ?1774 ?1775) ?1776 =<= double_divide (inverse ?1776) (multiply ?1775 ?1774) [1776, 1775, 1774] by Super 47 with 389 at 1,1,2
% 0.12/0.39 Id : 650, {_}: multiply (double_divide ?2397 ?2398) ?2397 =>= inverse ?2398 [2398, 2397] by Demod 626 with 429 at 2
% 0.12/0.39 Id : 663, {_}: multiply ?2478 (inverse ?2479) =<= double_divide (inverse ?2478) ?2479 [2479, 2478] by Super 389 with 650 at 2,2
% 0.12/0.39 Id : 725, {_}: multiply ?2066 ?2067 =<= multiply ?2067 (inverse (inverse ?2066)) [2067, 2066] by Demod 537 with 663 at 3
% 0.12/0.39 Id : 778, {_}: multiply ?2763 (inverse ?2764) =<= inverse (multiply ?2764 (inverse ?2763)) [2764, 2763] by Super 3 with 663 at 1,3
% 0.12/0.39 Id : 788, {_}: multiply ?2805 (inverse (double_divide (inverse ?2805) ?2806)) =>= inverse (inverse ?2806) [2806, 2805] by Super 778 with 650 at 1,3
% 0.12/0.39 Id : 805, {_}: multiply ?2805 (multiply ?2806 (inverse ?2805)) =>= inverse (inverse ?2806) [2806, 2805] by Demod 788 with 3 at 2,2
% 0.12/0.39 Id : 806, {_}: ?2806 =<= inverse (inverse ?2806) [2806] by Demod 805 with 389 at 2
% 0.12/0.39 Id : 811, {_}: multiply ?2066 ?2067 =?= multiply ?2067 ?2066 [2067, 2066] by Demod 725 with 806 at 2,3
% 0.12/0.39 Id : 837, {_}: a2 === a2 [] by Demod 836 with 445 at 2
% 0.12/0.39 Id : 836, {_}: multiply a2 (multiply b2 (inverse b2)) =>= a2 [] by Demod 835 with 811 at 2,2
% 0.12/0.39 Id : 835, {_}: multiply a2 (multiply (inverse b2) b2) =>= a2 [] by Demod 1 with 811 at 2
% 0.12/0.39 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 23535: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.056363 using nrkbo
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