TSTP Solution File: GRP500-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP500-1 : 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 10:30:32 EDT 2022
% Result : Unsatisfiable 2.79s 1.07s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP500-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % 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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 09:31:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 26329: Facts:
% 0.12/0.34 26329: Id : 2, {_}:
% 0.12/0.34 double_divide (inverse ?2)
% 0.12/0.34 (inverse
% 0.12/0.34 (double_divide (inverse (double_divide ?2 (double_divide ?3 ?4)))
% 0.12/0.34 (double_divide ?5 (double_divide ?3 ?5))))
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.34 26329: Id : 3, {_}:
% 0.12/0.34 multiply ?7 ?8 =<= inverse (double_divide ?8 ?7)
% 0.12/0.34 [8, 7] by multiply ?7 ?8
% 0.12/0.34 26329: Goal:
% 0.12/0.34 26329: Id : 1, {_}:
% 0.12/0.34 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.34 [] by prove_these_axioms_2
% 2.79/1.07 Statistics :
% 2.79/1.07 Max weight : 42
% 2.79/1.07 Found proof, 0.729412s
% 2.79/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.79/1.07 % SZS output start CNFRefutation for theBenchmark.p
% 2.79/1.07 Id : 4, {_}: double_divide (inverse ?10) (inverse (double_divide (inverse (double_divide ?10 (double_divide ?11 ?12))) (double_divide ?13 (double_divide ?11 ?13)))) =>= ?12 [13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13
% 2.79/1.07 Id : 3, {_}: multiply ?7 ?8 =<= inverse (double_divide ?8 ?7) [8, 7] by multiply ?7 ?8
% 2.79/1.07 Id : 2, {_}: double_divide (inverse ?2) (inverse (double_divide (inverse (double_divide ?2 (double_divide ?3 ?4))) (double_divide ?5 (double_divide ?3 ?5)))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 2.79/1.07 Id : 11, {_}: multiply ?37 ?38 =<= inverse (double_divide ?38 ?37) [38, 37] by multiply ?37 ?38
% 2.79/1.07 Id : 8, {_}: double_divide (inverse ?2) (multiply (double_divide ?5 (double_divide ?3 ?5)) (inverse (double_divide ?2 (double_divide ?3 ?4)))) =>= ?4 [4, 3, 5, 2] by Demod 2 with 3 at 2,2
% 2.79/1.07 Id : 9, {_}: double_divide (inverse ?2) (multiply (double_divide ?5 (double_divide ?3 ?5)) (multiply (double_divide ?3 ?4) ?2)) =>= ?4 [4, 3, 5, 2] by Demod 8 with 3 at 2,2,2
% 2.79/1.07 Id : 12, {_}: multiply (multiply (double_divide ?40 (double_divide ?41 ?40)) (multiply (double_divide ?41 ?42) ?43)) (inverse ?43) =>= inverse ?42 [43, 42, 41, 40] by Super 11 with 9 at 1,3
% 2.79/1.07 Id : 6, {_}: double_divide (inverse ?22) (inverse (double_divide (inverse (double_divide ?22 ?23)) (double_divide ?24 (double_divide (inverse ?25) ?24)))) =?= inverse (double_divide (inverse (double_divide ?25 (double_divide ?26 ?23))) (double_divide ?27 (double_divide ?26 ?27))) [27, 26, 25, 24, 23, 22] by Super 4 with 2 at 2,1,1,1,2,2
% 2.79/1.07 Id : 648, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (inverse (double_divide ?22 ?23))) =?= inverse (double_divide (inverse (double_divide ?25 (double_divide ?26 ?23))) (double_divide ?27 (double_divide ?26 ?27))) [27, 26, 23, 25, 24, 22] by Demod 6 with 3 at 2,2
% 2.79/1.07 Id : 649, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (inverse (double_divide ?22 ?23))) =?= multiply (double_divide ?27 (double_divide ?26 ?27)) (inverse (double_divide ?25 (double_divide ?26 ?23))) [26, 27, 23, 25, 24, 22] by Demod 648 with 3 at 3
% 2.79/1.07 Id : 650, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (multiply ?23 ?22)) =?= multiply (double_divide ?27 (double_divide ?26 ?27)) (inverse (double_divide ?25 (double_divide ?26 ?23))) [26, 27, 23, 25, 24, 22] by Demod 649 with 3 at 2,2,2
% 2.79/1.07 Id : 651, {_}: double_divide (inverse ?22) (multiply (double_divide ?24 (double_divide (inverse ?25) ?24)) (multiply ?23 ?22)) =?= multiply (double_divide ?27 (double_divide ?26 ?27)) (multiply (double_divide ?26 ?23) ?25) [26, 27, 23, 25, 24, 22] by Demod 650 with 3 at 2,3
% 2.79/1.07 Id : 695, {_}: multiply (double_divide ?5314 (double_divide ?5315 ?5314)) (multiply (double_divide ?5315 (double_divide (inverse ?5316) ?5317)) ?5316) =>= ?5317 [5317, 5316, 5315, 5314] by Super 9 with 651 at 2
% 2.79/1.07 Id : 812, {_}: multiply (multiply (double_divide ?6238 (double_divide ?6239 ?6238)) ?6240) (inverse (multiply (double_divide ?6241 (double_divide (inverse ?6242) ?6240)) ?6242)) =>= inverse (double_divide ?6241 ?6239) [6242, 6241, 6240, 6239, 6238] by Super 12 with 695 at 2,1,2
% 2.79/1.07 Id : 1185, {_}: multiply (multiply (double_divide ?8752 (double_divide ?8753 ?8752)) ?8754) (inverse (multiply (double_divide ?8755 (double_divide (inverse ?8756) ?8754)) ?8756)) =>= multiply ?8753 ?8755 [8756, 8755, 8754, 8753, 8752] by Demod 812 with 3 at 3
% 2.79/1.07 Id : 1208, {_}: multiply ?8967 (inverse (multiply (double_divide ?8968 (double_divide (inverse ?8969) (multiply (double_divide ?8970 (double_divide (inverse ?8971) ?8967)) ?8971))) ?8969)) =>= multiply ?8970 ?8968 [8971, 8970, 8969, 8968, 8967] by Super 1185 with 695 at 1,2
% 2.79/1.07 Id : 694, {_}: double_divide (inverse ?5309) (double_divide (inverse ?5310) (multiply (double_divide ?5311 (double_divide (inverse ?5309) ?5311)) (multiply ?5312 ?5310))) =>= ?5312 [5312, 5311, 5310, 5309] by Super 9 with 651 at 2,2
% 2.79/1.07 Id : 1147, {_}: double_divide (inverse (multiply (double_divide ?8413 (double_divide (inverse ?8414) ?8415)) ?8414)) (multiply (double_divide ?8416 (double_divide ?8417 ?8416)) ?8415) =>= double_divide ?8413 ?8417 [8417, 8416, 8415, 8414, 8413] by Super 9 with 695 at 2,2,2
% 2.79/1.07 Id : 1443, {_}: double_divide (inverse (multiply (double_divide ?10283 (double_divide (inverse ?10284) (multiply (double_divide ?10285 (double_divide (inverse ?10286) ?10287)) ?10286))) ?10284)) ?10287 =>= double_divide ?10283 ?10285 [10287, 10286, 10285, 10284, 10283] by Super 1147 with 695 at 2,2
% 2.79/1.07 Id : 814, {_}: double_divide (inverse (multiply (double_divide ?6247 (double_divide (inverse ?6248) ?6249)) ?6248)) (multiply (double_divide ?6250 (double_divide ?6251 ?6250)) ?6249) =>= double_divide ?6247 ?6251 [6251, 6250, 6249, 6248, 6247] by Super 9 with 695 at 2,2,2
% 2.79/1.07 Id : 1466, {_}: double_divide (inverse (multiply (double_divide ?10496 (double_divide ?10497 (inverse ?10498))) (multiply (double_divide ?10497 (double_divide (inverse ?10499) ?10498)) ?10499))) ?10500 =>= double_divide ?10496 ?10500 [10500, 10499, 10498, 10497, 10496] by Super 1443 with 814 at 2,1,1,1,2
% 2.79/1.07 Id : 1634, {_}: double_divide (inverse (multiply (double_divide ?11915 (double_divide ?11916 (inverse ?11917))) (multiply (double_divide ?11916 (double_divide (inverse ?11918) ?11917)) ?11918))) (double_divide (inverse ?11919) (multiply (double_divide ?11920 (double_divide ?11915 ?11920)) (multiply ?11921 ?11919))) =>= ?11921 [11921, 11920, 11919, 11918, 11917, 11916, 11915] by Super 694 with 1466 at 2,1,2,2,2
% 2.79/1.07 Id : 1697, {_}: double_divide ?11915 (double_divide (inverse ?11919) (multiply (double_divide ?11920 (double_divide ?11915 ?11920)) (multiply ?11921 ?11919))) =>= ?11921 [11921, 11920, 11919, 11915] by Demod 1634 with 1466 at 2
% 2.79/1.07 Id : 1945, {_}: multiply (double_divide (inverse ?13554) (multiply (double_divide ?13555 (double_divide ?13556 ?13555)) (multiply ?13557 ?13554))) ?13556 =>= inverse ?13557 [13557, 13556, 13555, 13554] by Super 3 with 1697 at 1,3
% 2.79/1.07 Id : 1953, {_}: multiply (double_divide (inverse (multiply (double_divide ?13621 (double_divide (inverse ?13622) ?13623)) ?13622)) (multiply (double_divide ?13624 (double_divide ?13625 ?13624)) ?13623)) ?13625 =?= inverse (double_divide ?13626 (double_divide ?13621 ?13626)) [13626, 13625, 13624, 13623, 13622, 13621] by Super 1945 with 695 at 2,2,1,2
% 2.79/1.07 Id : 1997, {_}: multiply (double_divide ?13621 ?13625) ?13625 =?= inverse (double_divide ?13626 (double_divide ?13621 ?13626)) [13626, 13625, 13621] by Demod 1953 with 814 at 1,2
% 2.79/1.07 Id : 1998, {_}: multiply (double_divide ?13621 ?13625) ?13625 =?= multiply (double_divide ?13621 ?13626) ?13626 [13626, 13625, 13621] by Demod 1997 with 3 at 3
% 2.79/1.07 Id : 2053, {_}: double_divide (inverse ?14174) (multiply (double_divide ?14175 (double_divide ?14176 ?14175)) (multiply (double_divide ?14176 ?14177) ?14177)) =>= ?14174 [14177, 14176, 14175, 14174] by Super 9 with 1998 at 2,2,2
% 2.79/1.07 Id : 837, {_}: multiply (double_divide ?6408 (double_divide ?6409 ?6408)) (multiply (double_divide ?6409 (double_divide (inverse ?6410) ?6411)) ?6410) =>= ?6411 [6411, 6410, 6409, 6408] by Super 9 with 651 at 2
% 2.79/1.07 Id : 841, {_}: multiply (double_divide ?6442 (double_divide ?6443 ?6442)) (multiply (double_divide ?6443 (double_divide (multiply ?6444 ?6445) ?6446)) (double_divide ?6445 ?6444)) =>= ?6446 [6446, 6445, 6444, 6443, 6442] by Super 837 with 3 at 1,2,1,2,2
% 2.79/1.07 Id : 10, {_}: double_divide (multiply ?31 ?32) (multiply (double_divide ?33 (double_divide ?34 ?33)) (multiply (double_divide ?34 ?35) (double_divide ?32 ?31))) =>= ?35 [35, 34, 33, 32, 31] by Super 9 with 3 at 1,2
% 2.79/1.07 Id : 2947, {_}: double_divide (multiply ?19804 ?19805) (multiply (double_divide ?19806 (double_divide ?19807 ?19806)) (multiply (double_divide ?19807 ?19808) ?19808)) =>= double_divide ?19805 ?19804 [19808, 19807, 19806, 19805, 19804] by Super 10 with 1998 at 2,2,2
% 2.79/1.07 Id : 2992, {_}: double_divide (multiply (double_divide ?20200 ?20201) ?20201) (multiply (double_divide ?20202 (double_divide ?20203 ?20202)) (multiply (double_divide ?20203 ?20204) ?20204)) =?= double_divide ?20205 (double_divide ?20200 ?20205) [20205, 20204, 20203, 20202, 20201, 20200] by Super 2947 with 1998 at 1,2
% 2.79/1.07 Id : 2049, {_}: double_divide (multiply ?14148 ?14149) (multiply (double_divide ?14150 (double_divide ?14151 ?14150)) (multiply (double_divide ?14151 ?14152) ?14152)) =>= double_divide ?14149 ?14148 [14152, 14151, 14150, 14149, 14148] by Super 10 with 1998 at 2,2,2
% 2.79/1.07 Id : 3036, {_}: double_divide ?20201 (double_divide ?20200 ?20201) =?= double_divide ?20205 (double_divide ?20200 ?20205) [20205, 20200, 20201] by Demod 2992 with 2049 at 2
% 2.79/1.07 Id : 3448, {_}: multiply (double_divide ?22629 (double_divide ?22630 ?22629)) (multiply (double_divide ?22631 (double_divide (inverse ?22632) ?22631)) ?22632) =>= ?22630 [22632, 22631, 22630, 22629] by Super 695 with 3036 at 1,2,2
% 2.79/1.07 Id : 2189, {_}: multiply (double_divide ?15160 (double_divide (inverse ?15161) (multiply (double_divide ?15162 ?15163) ?15163))) ?15161 =>= double_divide ?15160 ?15162 [15163, 15162, 15161, 15160] by Super 814 with 2053 at 2
% 2.79/1.07 Id : 3469, {_}: multiply (double_divide ?22790 (double_divide ?22791 ?22790)) (double_divide (multiply (double_divide ?22792 ?22793) ?22793) ?22792) =>= ?22791 [22793, 22792, 22791, 22790] by Super 3448 with 2189 at 2,2
% 2.79/1.07 Id : 3536, {_}: multiply (double_divide ?23019 (double_divide ?23020 ?23019)) (multiply ?23021 (multiply (double_divide ?23021 ?23022) ?23022)) =>= ?23020 [23022, 23021, 23020, 23019] by Super 841 with 3469 at 2,2
% 2.79/1.07 Id : 3741, {_}: double_divide ?24097 (double_divide (inverse (multiply (double_divide ?24098 ?24099) ?24099)) ?24097) =>= ?24098 [24099, 24098, 24097] by Super 1697 with 3536 at 2,2,2
% 2.79/1.07 Id : 4160, {_}: double_divide (inverse ?26395) (multiply ?26396 (multiply (double_divide (inverse (multiply (double_divide ?26396 ?26397) ?26397)) ?26398) ?26398)) =>= ?26395 [26398, 26397, 26396, 26395] by Super 2053 with 3741 at 1,2,2
% 2.79/1.07 Id : 1815, {_}: multiply (double_divide (inverse ?12667) (multiply (double_divide ?12668 (double_divide ?12669 ?12668)) (multiply ?12670 ?12667))) ?12669 =>= inverse ?12670 [12670, 12669, 12668, 12667] by Super 3 with 1697 at 1,3
% 2.79/1.07 Id : 3687, {_}: multiply (double_divide (inverse (multiply (double_divide ?23714 ?23715) ?23715)) ?23716) ?23716 =>= inverse ?23714 [23716, 23715, 23714] by Super 1815 with 3536 at 2,1,2
% 2.79/1.07 Id : 4345, {_}: double_divide (inverse ?26395) (multiply ?26396 (inverse ?26396)) =>= ?26395 [26396, 26395] by Demod 4160 with 3687 at 2,2,2
% 2.79/1.07 Id : 4372, {_}: multiply (multiply ?27505 (inverse ?27505)) (inverse (multiply (double_divide ?27506 (double_divide (inverse ?27507) (multiply (double_divide ?27508 ?27509) ?27509))) ?27507)) =>= multiply ?27508 ?27506 [27509, 27508, 27507, 27506, 27505] by Super 1208 with 4345 at 2,1,2,2,1,1,2,2
% 2.79/1.07 Id : 4474, {_}: multiply (multiply ?27505 (inverse ?27505)) (inverse (double_divide ?27506 ?27508)) =>= multiply ?27508 ?27506 [27508, 27506, 27505] by Demod 4372 with 2189 at 1,2,2
% 2.79/1.07 Id : 5289, {_}: multiply (multiply ?31843 (inverse ?31843)) (multiply ?31844 ?31845) =>= multiply ?31844 ?31845 [31845, 31844, 31843] by Demod 4474 with 3 at 2,2
% 2.79/1.07 Id : 5297, {_}: multiply (multiply ?31902 (inverse ?31902)) ?31903 =?= multiply (double_divide ?31904 (double_divide ?31905 ?31904)) (multiply (double_divide ?31905 (double_divide (inverse ?31906) ?31903)) ?31906) [31906, 31905, 31904, 31903, 31902] by Super 5289 with 695 at 2,2
% 2.79/1.07 Id : 5423, {_}: multiply (multiply ?32237 (inverse ?32237)) ?32238 =>= ?32238 [32238, 32237] by Demod 5297 with 695 at 3
% 2.79/1.07 Id : 870, {_}: multiply (multiply (double_divide ?6238 (double_divide ?6239 ?6238)) ?6240) (inverse (multiply (double_divide ?6241 (double_divide (inverse ?6242) ?6240)) ?6242)) =>= multiply ?6239 ?6241 [6242, 6241, 6240, 6239, 6238] by Demod 812 with 3 at 3
% 2.79/1.07 Id : 5429, {_}: multiply (multiply (inverse ?32276) ?32276) ?32277 =>= ?32277 [32277, 32276] by Super 5423 with 870 at 1,2
% 2.79/1.07 Id : 5500, {_}: a2 === a2 [] by Demod 1 with 5429 at 2
% 2.79/1.07 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 2.79/1.07 % SZS output end CNFRefutation for theBenchmark.p
% 2.79/1.07 26332: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.734462 using nrkbo
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