TSTP Solution File: GRP465-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n007.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 10:30:24 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.35 % Computer : n007.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 : Tue Jun 14 04:28:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 16811: Facts:
% 0.13/0.36 16811: Id : 2, {_}:
% 0.13/0.36 divide ?2
% 0.13/0.36 (divide (divide (divide (divide ?2 ?2) ?3) ?4)
% 0.13/0.36 (divide (divide identity ?2) ?4))
% 0.13/0.36 =>=
% 0.13/0.36 ?3
% 0.13/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.36 16811: Id : 3, {_}:
% 0.13/0.36 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.13/0.36 [7, 6] by multiply ?6 ?7
% 0.13/0.36 16811: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.13/0.36 16811: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.13/0.36 16811: Goal:
% 0.13/0.36 16811: Id : 1, {_}:
% 0.13/0.36 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.36 [] by prove_these_axioms_3
% 0.20/0.49 Statistics :
% 0.20/0.49 Max weight : 48
% 0.20/0.49 Found proof, 0.138513s
% 0.20/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.20/0.49 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.20/0.49 Id : 2, {_}: divide ?2 (divide (divide (divide (divide ?2 ?2) ?3) ?4) (divide (divide identity ?2) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.20/0.49 Id : 6, {_}: divide ?13 (divide (divide (divide (divide ?13 ?13) ?14) ?15) (divide (divide identity ?13) ?15)) =>= ?14 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.20/0.49 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.20/0.49 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.20/0.49 Id : 25, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.20/0.49 Id : 9, {_}: divide ?27 (divide (divide ?28 ?29) (divide (divide identity ?27) ?29)) =?= divide (divide (divide (divide (divide ?27 ?27) (divide ?27 ?27)) ?28) ?30) (divide (divide identity (divide ?27 ?27)) ?30) [30, 29, 28, 27] by Super 6 with 2 at 1,1,2,2
% 0.20/0.49 Id : 229, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (divide (divide (divide ?27 ?27) (divide ?27 ?27)) ?28) ?30) (divide (divide identity (divide ?27 ?27)) ?30) [30, 29, 28, 27] by Demod 9 with 4 at 1,2,2,2
% 0.20/0.49 Id : 230, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (divide identity ?28) ?30) (divide (divide identity (divide ?27 ?27)) ?30) [30, 29, 28, 27] by Demod 229 with 5 at 1,1,1,3
% 0.20/0.49 Id : 231, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (divide identity ?28) ?30) (divide (inverse (divide ?27 ?27)) ?30) [30, 29, 28, 27] by Demod 230 with 4 at 1,2,3
% 0.20/0.49 Id : 232, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (inverse ?28) ?30) (divide (inverse (divide ?27 ?27)) ?30) [30, 29, 28, 27] by Demod 231 with 4 at 1,1,3
% 0.20/0.49 Id : 233, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (inverse ?28) ?30) (divide (inverse identity) ?30) [30, 29, 28, 27] by Demod 232 with 5 at 1,1,2,3
% 0.20/0.49 Id : 42, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.20/0.49 Id : 234, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (inverse ?28) ?30) (divide identity ?30) [30, 29, 28, 27] by Demod 233 with 42 at 1,2,3
% 0.20/0.50 Id : 235, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= divide (divide (inverse ?28) ?30) (inverse ?30) [30, 29, 28, 27] by Demod 234 with 4 at 2,3
% 0.20/0.50 Id : 236, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =?= multiply (divide (inverse ?28) ?30) ?30 [30, 29, 28, 27] by Demod 235 with 25 at 3
% 0.20/0.50 Id : 26, {_}: divide ?2 (divide (divide (divide (divide ?2 ?2) ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 2 with 4 at 1,2,2,2
% 0.20/0.50 Id : 37, {_}: divide ?2 (divide (divide (divide identity ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 26 with 5 at 1,1,1,2,2
% 0.20/0.50 Id : 38, {_}: divide ?2 (divide (divide (inverse ?3) ?4) (divide (inverse ?2) ?4)) =>= ?3 [4, 3, 2] by Demod 37 with 4 at 1,1,2,2
% 0.20/0.50 Id : 40, {_}: divide ?92 (divide identity (divide (inverse ?92) (inverse ?93))) =>= ?93 [93, 92] by Super 38 with 5 at 1,2,2
% 0.20/0.50 Id : 49, {_}: divide ?92 (inverse (divide (inverse ?92) (inverse ?93))) =>= ?93 [93, 92] by Demod 40 with 4 at 2,2
% 0.20/0.50 Id : 50, {_}: multiply ?92 (divide (inverse ?92) (inverse ?93)) =>= ?93 [93, 92] by Demod 49 with 25 at 2
% 0.20/0.50 Id : 51, {_}: multiply ?92 (multiply (inverse ?92) ?93) =>= ?93 [93, 92] by Demod 50 with 25 at 2,2
% 0.20/0.50 Id : 283, {_}: multiply ?549 (multiply (inverse ?549) ?550) =>= ?550 [550, 549] by Demod 50 with 25 at 2,2
% 0.20/0.50 Id : 52, {_}: multiply ?106 identity =<= divide ?106 identity [106] by Super 25 with 42 at 2,3
% 0.20/0.50 Id : 41, {_}: divide ?95 identity =>= ?95 [95] by Super 38 with 5 at 2,2
% 0.20/0.50 Id : 203, {_}: multiply ?106 identity =>= ?106 [106] by Demod 52 with 41 at 3
% 0.20/0.50 Id : 287, {_}: multiply ?559 (inverse ?559) =>= identity [559] by Super 283 with 203 at 2,2
% 0.20/0.50 Id : 298, {_}: multiply ?566 identity =>= inverse (inverse ?566) [566] by Super 51 with 287 at 2,2
% 0.20/0.50 Id : 303, {_}: ?566 =<= inverse (inverse ?566) [566] by Demod 298 with 203 at 2
% 0.20/0.50 Id : 324, {_}: divide ?609 (divide (divide (inverse ?610) ?611) (divide (inverse ?609) ?611)) =?= multiply (divide ?610 ?612) ?612 [612, 611, 610, 609] by Super 236 with 303 at 1,1,3
% 0.20/0.50 Id : 332, {_}: ?610 =<= multiply (divide ?610 ?612) ?612 [612, 610] by Demod 324 with 38 at 2
% 0.20/0.50 Id : 458, {_}: divide ?27 (divide (divide ?28 ?29) (divide (inverse ?27) ?29)) =>= inverse ?28 [29, 28, 27] by Demod 236 with 332 at 3
% 0.20/0.50 Id : 10, {_}: divide ?32 (divide ?33 (divide (divide identity ?32) (divide (divide (divide (divide (divide (divide ?32 ?32) ?34) (divide (divide ?32 ?32) ?34)) ?33) ?35) (divide (divide identity (divide (divide ?32 ?32) ?34)) ?35)))) =>= ?34 [35, 34, 33, 32] by Super 6 with 2 at 1,2,2
% 0.20/0.50 Id : 371, {_}: divide ?32 (divide ?33 (divide (inverse ?32) (divide (divide (divide (divide (divide (divide ?32 ?32) ?34) (divide (divide ?32 ?32) ?34)) ?33) ?35) (divide (divide identity (divide (divide ?32 ?32) ?34)) ?35)))) =>= ?34 [35, 34, 33, 32] by Demod 10 with 4 at 1,2,2,2
% 0.20/0.50 Id : 372, {_}: divide ?32 (divide ?33 (divide (inverse ?32) (divide (divide (divide identity ?33) ?35) (divide (divide identity (divide (divide ?32 ?32) ?34)) ?35)))) =>= ?34 [34, 35, 33, 32] by Demod 371 with 5 at 1,1,1,2,2,2,2
% 0.20/0.50 Id : 373, {_}: divide ?32 (divide ?33 (divide (inverse ?32) (divide (divide (divide identity ?33) ?35) (divide (inverse (divide (divide ?32 ?32) ?34)) ?35)))) =>= ?34 [34, 35, 33, 32] by Demod 372 with 4 at 1,2,2,2,2,2
% 0.20/0.50 Id : 374, {_}: divide ?32 (divide ?33 (divide (inverse ?32) (divide (divide (inverse ?33) ?35) (divide (inverse (divide (divide ?32 ?32) ?34)) ?35)))) =>= ?34 [34, 35, 33, 32] by Demod 373 with 4 at 1,1,2,2,2,2
% 0.20/0.50 Id : 375, {_}: divide ?32 (divide ?33 (divide (inverse ?32) (divide (divide (inverse ?33) ?35) (divide (inverse (divide identity ?34)) ?35)))) =>= ?34 [34, 35, 33, 32] by Demod 374 with 5 at 1,1,1,2,2,2,2,2
% 0.20/0.50 Id : 376, {_}: divide ?32 (divide ?33 (divide (inverse ?32) (divide (divide (inverse ?33) ?35) (divide (inverse (inverse ?34)) ?35)))) =>= ?34 [34, 35, 33, 32] by Demod 375 with 4 at 1,1,2,2,2,2,2
% 0.20/0.50 Id : 388, {_}: divide ?735 (divide ?736 (divide (inverse ?735) (divide (divide (inverse ?736) ?737) (divide ?738 ?737)))) =>= ?738 [738, 737, 736, 735] by Demod 376 with 303 at 1,2,2,2,2,2
% 0.20/0.50 Id : 408, {_}: divide ?846 (divide ?847 (divide (inverse ?846) identity)) =>= inverse ?847 [847, 846] by Super 388 with 5 at 2,2,2,2
% 0.20/0.50 Id : 441, {_}: divide ?846 (divide ?847 (inverse ?846)) =>= inverse ?847 [847, 846] by Demod 408 with 41 at 2,2,2
% 0.20/0.50 Id : 495, {_}: divide ?958 (multiply ?959 ?958) =>= inverse ?959 [959, 958] by Demod 441 with 25 at 2,2
% 0.20/0.50 Id : 531, {_}: divide ?1037 ?1038 =<= inverse (divide ?1038 ?1037) [1038, 1037] by Super 495 with 332 at 2,2
% 0.20/0.50 Id : 540, {_}: divide (inverse ?1067) ?1068 =>= inverse (multiply ?1068 ?1067) [1068, 1067] by Super 531 with 25 at 1,3
% 0.20/0.50 Id : 551, {_}: divide ?27 (divide (divide ?28 ?29) (inverse (multiply ?29 ?27))) =>= inverse ?28 [29, 28, 27] by Demod 458 with 540 at 2,2,2
% 0.20/0.50 Id : 564, {_}: divide ?27 (multiply (divide ?28 ?29) (multiply ?29 ?27)) =>= inverse ?28 [29, 28, 27] by Demod 551 with 25 at 2,2
% 0.20/0.50 Id : 320, {_}: multiply ?596 (inverse ?597) =>= divide ?596 ?597 [597, 596] by Super 25 with 303 at 2,3
% 0.20/0.50 Id : 463, {_}: ?877 =<= divide (divide ?877 (inverse ?878)) ?878 [878, 877] by Super 320 with 332 at 2
% 0.20/0.50 Id : 476, {_}: ?877 =<= divide (multiply ?877 ?878) ?878 [878, 877] by Demod 463 with 25 at 1,3
% 0.20/0.50 Id : 1951, {_}: divide ?3215 (multiply ?3216 (multiply ?3217 ?3215)) =>= inverse (multiply ?3216 ?3217) [3217, 3216, 3215] by Super 564 with 476 at 1,2,2
% 0.20/0.50 Id : 573, {_}: inverse ?1101 =<= multiply (inverse (multiply ?1102 ?1101)) ?1102 [1102, 1101] by Super 332 with 540 at 1,3
% 0.20/0.50 Id : 1966, {_}: divide ?3280 (multiply ?3281 (inverse ?3282)) =<= inverse (multiply ?3281 (inverse (multiply ?3280 ?3282))) [3282, 3281, 3280] by Super 1951 with 573 at 2,2,2
% 0.20/0.50 Id : 2022, {_}: divide ?3280 (divide ?3281 ?3282) =<= inverse (multiply ?3281 (inverse (multiply ?3280 ?3282))) [3282, 3281, 3280] by Demod 1966 with 320 at 2,2
% 0.20/0.50 Id : 2023, {_}: divide ?3280 (divide ?3281 ?3282) =<= inverse (divide ?3281 (multiply ?3280 ?3282)) [3282, 3281, 3280] by Demod 2022 with 320 at 1,3
% 0.20/0.50 Id : 501, {_}: divide ?973 ?974 =<= inverse (divide ?974 ?973) [974, 973] by Super 495 with 332 at 2,2
% 0.20/0.50 Id : 524, {_}: multiply ?1004 (divide ?1005 ?1006) =<= divide ?1004 (divide ?1006 ?1005) [1006, 1005, 1004] by Super 25 with 501 at 2,3
% 0.20/0.50 Id : 2024, {_}: multiply ?3280 (divide ?3282 ?3281) =<= inverse (divide ?3281 (multiply ?3280 ?3282)) [3281, 3282, 3280] by Demod 2023 with 524 at 2
% 0.20/0.50 Id : 2025, {_}: multiply ?3280 (divide ?3282 ?3281) =<= divide (multiply ?3280 ?3282) ?3281 [3281, 3282, 3280] by Demod 2024 with 501 at 3
% 0.20/0.50 Id : 2146, {_}: multiply (multiply ?3543 ?3544) ?3545 =<= multiply ?3543 (divide ?3544 (inverse ?3545)) [3545, 3544, 3543] by Super 25 with 2025 at 3
% 0.20/0.50 Id : 2181, {_}: multiply (multiply ?3543 ?3544) ?3545 =>= multiply ?3543 (multiply ?3544 ?3545) [3545, 3544, 3543] by Demod 2146 with 25 at 2,3
% 0.20/0.50 Id : 2644, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 2181 at 2
% 0.20/0.50 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.20/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.50 16812: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.141442 using kbo
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