TSTP Solution File: GRP447-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n027.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 10:30:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP447-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n027.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
% 0.12/0.34 % DateTime : Tue Jun 14 09:01:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 2454: Facts:
% 0.12/0.34 2454: Id : 2, {_}:
% 0.12/0.34 divide ?2
% 0.12/0.34 (divide (divide (divide (divide ?2 ?2) ?3) ?4)
% 0.12/0.34 (divide (divide (divide ?2 ?2) ?2) ?4))
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 2454: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.34 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.34 2454: Id : 4, {_}:
% 0.12/0.34 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.34 [11, 10] by inverse ?10 ?11
% 0.12/0.34 2454: Goal:
% 0.12/0.34 2454: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 0.19/0.50 Statistics :
% 0.19/0.50 Max weight : 68
% 0.19/0.50 Found proof, 0.164014s
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.50 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.19/0.50 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.19/0.50 Id : 2, {_}: divide ?2 (divide (divide (divide (divide ?2 ?2) ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.50 Id : 5, {_}: divide ?13 (divide (divide (divide (divide ?13 ?13) ?14) ?15) (divide (divide (divide ?13 ?13) ?13) ?15)) =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.19/0.50 Id : 6, {_}: divide ?17 (divide (divide (divide (divide ?17 ?17) ?18) (divide (divide (divide (divide (divide (divide ?17 ?17) ?17) (divide (divide ?17 ?17) ?17)) ?19) ?20) (divide (divide (divide (divide (divide ?17 ?17) ?17) (divide (divide ?17 ?17) ?17)) (divide (divide ?17 ?17) ?17)) ?20))) ?19) =>= ?18 [20, 19, 18, 17] by Super 5 with 2 at 2,2,2
% 0.19/0.50 Id : 67, {_}: divide ?17 (divide (divide (inverse ?18) (divide (divide (divide (divide (divide (divide ?17 ?17) ?17) (divide (divide ?17 ?17) ?17)) ?19) ?20) (divide (divide (divide (divide (divide ?17 ?17) ?17) (divide (divide ?17 ?17) ?17)) (divide (divide ?17 ?17) ?17)) ?20))) ?19) =>= ?18 [20, 19, 18, 17] by Demod 6 with 4 at 1,1,2,2
% 0.19/0.50 Id : 68, {_}: divide ?17 (divide (divide (inverse ?18) (divide (divide (inverse ?19) ?20) (divide (divide (divide (divide (divide ?17 ?17) ?17) (divide (divide ?17 ?17) ?17)) (divide (divide ?17 ?17) ?17)) ?20))) ?19) =>= ?18 [20, 19, 18, 17] by Demod 67 with 4 at 1,1,2,1,2,2
% 0.19/0.50 Id : 69, {_}: divide ?17 (divide (divide (inverse ?18) (divide (divide (inverse ?19) ?20) (divide (inverse (divide (divide ?17 ?17) ?17)) ?20))) ?19) =>= ?18 [20, 19, 18, 17] by Demod 68 with 4 at 1,2,2,1,2,2
% 0.19/0.50 Id : 70, {_}: divide ?17 (divide (divide (inverse ?18) (divide (divide (inverse ?19) ?20) (divide (inverse (inverse ?17)) ?20))) ?19) =>= ?18 [20, 19, 18, 17] by Demod 69 with 4 at 1,1,2,2,1,2,2
% 0.19/0.50 Id : 75, {_}: divide ?195 (divide (divide (inverse ?196) (divide (divide (inverse ?197) ?198) (divide (inverse (inverse ?195)) ?198))) ?197) =>= ?196 [198, 197, 196, 195] by Demod 69 with 4 at 1,1,2,2,1,2,2
% 0.19/0.50 Id : 34, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (divide (divide ?2 ?2) ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,1,2,2
% 0.19/0.50 Id : 35, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 34 with 4 at 1,2,2,2
% 0.19/0.50 Id : 108, {_}: divide ?320 (divide ?321 ?321) =>= ?320 [321, 320] by Super 75 with 35 at 1,2,2
% 0.19/0.50 Id : 110, {_}: divide ?326 (inverse (divide ?327 ?327)) =>= ?326 [327, 326] by Super 108 with 4 at 2,2
% 0.19/0.50 Id : 33, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.50 Id : 133, {_}: multiply ?326 (divide ?327 ?327) =>= ?326 [327, 326] by Demod 110 with 33 at 2
% 0.19/0.50 Id : 37, {_}: divide ?95 (inverse (divide (inverse ?95) (inverse ?96))) =>= ?96 [96, 95] by Super 35 with 4 at 2,2
% 0.19/0.50 Id : 45, {_}: multiply ?95 (divide (inverse ?95) (inverse ?96)) =>= ?96 [96, 95] by Demod 37 with 33 at 2
% 0.19/0.50 Id : 208, {_}: multiply ?589 (multiply (inverse ?589) ?590) =>= ?590 [590, 589] by Demod 45 with 33 at 2,2
% 0.19/0.50 Id : 46, {_}: multiply ?95 (multiply (inverse ?95) ?96) =>= ?96 [96, 95] by Demod 45 with 33 at 2,2
% 0.19/0.50 Id : 209, {_}: multiply ?592 ?593 =<= multiply (inverse (inverse ?592)) ?593 [593, 592] by Super 208 with 46 at 2,2
% 0.19/0.50 Id : 214, {_}: multiply ?606 (divide ?607 ?607) =>= inverse (inverse ?606) [607, 606] by Super 133 with 209 at 2
% 0.19/0.50 Id : 223, {_}: ?606 =<= inverse (inverse ?606) [606] by Demod 214 with 133 at 2
% 0.19/0.50 Id : 296, {_}: divide ?17 (divide (divide (inverse ?18) (divide (divide (inverse ?19) ?20) (divide ?17 ?20))) ?19) =>= ?18 [20, 19, 18, 17] by Demod 70 with 223 at 1,2,2,1,2,2
% 0.19/0.50 Id : 7, {_}: divide ?22 (divide (divide ?23 ?24) (divide (divide (divide ?22 ?22) ?22) ?24)) =?= divide (divide (divide (divide (divide ?22 ?22) (divide ?22 ?22)) ?23) ?25) (divide (divide (divide (divide ?22 ?22) (divide ?22 ?22)) (divide ?22 ?22)) ?25) [25, 24, 23, 22] by Super 5 with 2 at 1,1,2,2
% 0.19/0.50 Id : 144, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (divide (divide (divide ?22 ?22) (divide ?22 ?22)) ?23) ?25) (divide (divide (divide (divide ?22 ?22) (divide ?22 ?22)) (divide ?22 ?22)) ?25) [25, 24, 23, 22] by Demod 7 with 4 at 1,2,2,2
% 0.19/0.50 Id : 145, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (divide (divide (divide ?22 ?22) (divide ?22 ?22)) (divide ?22 ?22)) ?25) [25, 24, 23, 22] by Demod 144 with 4 at 1,1,3
% 0.19/0.50 Id : 84, {_}: divide ?245 (divide ?246 ?246) =>= ?245 [246, 245] by Super 75 with 35 at 1,2,2
% 0.19/0.50 Id : 146, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (divide (divide (divide ?22 ?22) (divide ?22 ?22)) ?25) [25, 24, 23, 22] by Demod 145 with 84 at 1,2,3
% 0.19/0.51 Id : 147, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= divide (divide (inverse ?23) ?25) (inverse ?25) [25, 24, 23, 22] by Demod 146 with 4 at 2,3
% 0.19/0.51 Id : 148, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =?= multiply (divide (inverse ?23) ?25) ?25 [25, 24, 23, 22] by Demod 147 with 33 at 3
% 0.19/0.51 Id : 305, {_}: divide ?855 (divide (divide (inverse ?856) ?857) (divide (inverse ?855) ?857)) =?= multiply (divide ?856 ?858) ?858 [858, 857, 856, 855] by Super 148 with 223 at 1,1,3
% 0.19/0.51 Id : 311, {_}: ?856 =<= multiply (divide ?856 ?858) ?858 [858, 856] by Demod 305 with 35 at 2
% 0.19/0.51 Id : 333, {_}: divide ?22 (divide (divide ?23 ?24) (divide (inverse ?22) ?24)) =>= inverse ?23 [24, 23, 22] by Demod 148 with 311 at 3
% 0.19/0.51 Id : 111, {_}: divide ?329 (multiply (inverse ?330) ?330) =>= ?329 [330, 329] by Super 108 with 33 at 2,2
% 0.19/0.51 Id : 542, {_}: divide ?1262 (divide (divide ?1263 (multiply (inverse ?1264) ?1264)) (inverse ?1262)) =>= inverse ?1263 [1264, 1263, 1262] by Super 333 with 111 at 2,2,2
% 0.19/0.51 Id : 580, {_}: divide ?1262 (multiply (divide ?1263 (multiply (inverse ?1264) ?1264)) ?1262) =>= inverse ?1263 [1264, 1263, 1262] by Demod 542 with 33 at 2,2
% 0.19/0.51 Id : 604, {_}: divide ?1412 (multiply ?1413 ?1412) =>= inverse ?1413 [1413, 1412] by Demod 580 with 111 at 1,2,2
% 0.19/0.51 Id : 654, {_}: divide ?1515 ?1516 =<= inverse (divide ?1516 ?1515) [1516, 1515] by Super 604 with 311 at 2,2
% 0.19/0.51 Id : 663, {_}: divide (inverse ?1548) ?1549 =>= inverse (multiply ?1549 ?1548) [1549, 1548] by Super 654 with 33 at 1,3
% 0.19/0.51 Id : 754, {_}: divide ?17 (divide (inverse (multiply (divide (divide (inverse ?19) ?20) (divide ?17 ?20)) ?18)) ?19) =>= ?18 [18, 20, 19, 17] by Demod 296 with 663 at 1,2,2
% 0.19/0.51 Id : 755, {_}: divide ?17 (inverse (multiply ?19 (multiply (divide (divide (inverse ?19) ?20) (divide ?17 ?20)) ?18))) =>= ?18 [18, 20, 19, 17] by Demod 754 with 663 at 2,2
% 0.19/0.51 Id : 756, {_}: divide ?17 (inverse (multiply ?19 (multiply (divide (inverse (multiply ?20 ?19)) (divide ?17 ?20)) ?18))) =>= ?18 [18, 20, 19, 17] by Demod 755 with 663 at 1,1,2,1,2,2
% 0.19/0.51 Id : 757, {_}: divide ?17 (inverse (multiply ?19 (multiply (inverse (multiply (divide ?17 ?20) (multiply ?20 ?19))) ?18))) =>= ?18 [18, 20, 19, 17] by Demod 756 with 663 at 1,2,1,2,2
% 0.19/0.51 Id : 765, {_}: multiply ?17 (multiply ?19 (multiply (inverse (multiply (divide ?17 ?20) (multiply ?20 ?19))) ?18)) =>= ?18 [18, 20, 19, 17] by Demod 757 with 33 at 2
% 0.19/0.51 Id : 136, {_}: multiply ?348 (divide ?349 ?349) =>= ?348 [349, 348] by Demod 110 with 33 at 2
% 0.19/0.51 Id : 139, {_}: multiply ?357 (multiply (inverse ?358) ?358) =>= ?357 [358, 357] by Super 136 with 33 at 2,2
% 0.19/0.51 Id : 2726, {_}: multiply ?4809 ?4810 =<= multiply (divide ?4809 ?4811) (multiply ?4811 ?4810) [4811, 4810, 4809] by Super 765 with 139 at 2,2
% 0.19/0.51 Id : 304, {_}: multiply ?852 (inverse ?853) =>= divide ?852 ?853 [853, 852] by Super 33 with 223 at 2,3
% 0.19/0.51 Id : 336, {_}: ?910 =<= divide (divide ?910 (inverse ?911)) ?911 [911, 910] by Super 304 with 311 at 2
% 0.19/0.51 Id : 353, {_}: ?910 =<= divide (multiply ?910 ?911) ?911 [911, 910] by Demod 336 with 33 at 1,3
% 0.19/0.51 Id : 2751, {_}: multiply (multiply ?4918 ?4919) ?4920 =>= multiply ?4918 (multiply ?4919 ?4920) [4920, 4919, 4918] by Super 2726 with 353 at 1,3
% 0.19/0.51 Id : 2899, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 2751 at 2
% 0.19/0.51 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51 2455: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.166879 using kbo
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