TSTP Solution File: TOP049-1 by Matita---1.0
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% File : Matita---1.0
% Problem : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n020.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 : Thu Jul 21 21:32:20 EDT 2022
% Result : Unsatisfiable 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : TOP049-1 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.36 % Computer : n020.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 : Sun May 29 07:56:09 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 7507: Facts:
% 0.14/0.37 7507: Id : 2, {_}: product ?2 ?2 =>= ?2 [2] by involutory_quandle ?2
% 0.14/0.37 7507: Id : 3, {_}:
% 0.14/0.37 product (product ?4 ?5) ?5 =>= ?4
% 0.14/0.37 [5, 4] by involutory_quandle_01 ?4 ?5
% 0.14/0.37 7507: Id : 4, {_}:
% 0.14/0.37 product (product ?7 ?8) ?9
% 0.14/0.37 =<=
% 0.14/0.37 product (product ?7 ?9) (product ?8 ?9)
% 0.14/0.37 [9, 8, 7] by involutory_quandle_02 ?7 ?8 ?9
% 0.14/0.37 7507: Id : 5, {_}: a1 =<= product a9 a7 [] by knot
% 0.14/0.37 7507: Id : 6, {_}: a3 =<= product a1 a2 [] by knot_03
% 0.14/0.37 7507: Id : 7, {_}: a2 =<= product a3 a4 [] by knot_04
% 0.14/0.37 7507: Id : 8, {_}: a5 =<= product a2 a10 [] by knot_05
% 0.14/0.37 7507: Id : 9, {_}: a6 =<= product a5 a4 [] by knot_06
% 0.14/0.37 7507: Id : 10, {_}: a7 =<= product a6 a1 [] by knot_07
% 0.14/0.37 7507: Id : 11, {_}: a8 =<= product a7 a4 [] by knot_08
% 0.14/0.37 7507: Id : 12, {_}: a10 =<= product a8 a9 [] by knot_09
% 0.14/0.37 7507: Id : 13, {_}: a4 =<= product a10 a3 [] by knot_10
% 0.14/0.37 7507: Id : 14, {_}: a9 =<= product a4 a8 [] by knot_11
% 0.14/0.37 7507: Goal:
% 0.14/0.37 7507: Id : 1, {_}:
% 0.14/0.37 tuple a1 a9 a8 a6 a7 a2 a3 a4 a5
% 0.14/0.37 =<=
% 0.14/0.37 tuple a2 a10 a9 a7 a8 a3 a4 a5 a6
% 0.14/0.37 [] by goal
% 0.22/0.50 Statistics :
% 0.22/0.50 Max weight : 20
% 0.22/0.50 Found proof, 0.130885s
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/0.50 % SZS output start CNFRefutation for theBenchmark.p
% 0.22/0.50 Id : 12, {_}: a10 =<= product a8 a9 [] by knot_09
% 0.22/0.50 Id : 10, {_}: a7 =<= product a6 a1 [] by knot_07
% 0.22/0.50 Id : 9, {_}: a6 =<= product a5 a4 [] by knot_06
% 0.22/0.50 Id : 8, {_}: a5 =<= product a2 a10 [] by knot_05
% 0.22/0.50 Id : 2, {_}: product ?2 ?2 =>= ?2 [2] by involutory_quandle ?2
% 0.22/0.50 Id : 7, {_}: a2 =<= product a3 a4 [] by knot_04
% 0.22/0.50 Id : 4, {_}: product (product ?7 ?8) ?9 =<= product (product ?7 ?9) (product ?8 ?9) [9, 8, 7] by involutory_quandle_02 ?7 ?8 ?9
% 0.22/0.50 Id : 6, {_}: a3 =<= product a1 a2 [] by knot_03
% 0.22/0.50 Id : 13, {_}: a4 =<= product a10 a3 [] by knot_10
% 0.22/0.50 Id : 11, {_}: a8 =<= product a7 a4 [] by knot_08
% 0.22/0.50 Id : 3, {_}: product (product ?4 ?5) ?5 =>= ?4 [5, 4] by involutory_quandle_01 ?4 ?5
% 0.22/0.50 Id : 5, {_}: a1 =<= product a9 a7 [] by knot
% 0.22/0.50 Id : 67, {_}: product a8 a4 =>= a7 [] by Super 3 with 11 at 1,2
% 0.22/0.50 Id : 477, {_}: product (product a3 ?536) a4 =>= product a2 (product ?536 a4) [536] by Super 4 with 7 at 1,3
% 0.22/0.50 Id : 234, {_}: product (product ?306 a1) a2 =<= product (product ?306 a2) a3 [306] by Super 4 with 6 at 2,3
% 0.22/0.50 Id : 235, {_}: product (product a2 a1) a2 =>= product a2 a3 [] by Super 234 with 2 at 1,3
% 0.22/0.50 Id : 247, {_}: product (product a2 a3) a2 =>= product a2 a1 [] by Super 3 with 235 at 1,2
% 0.22/0.50 Id : 314, {_}: product (product ?385 a3) a4 =<= product (product ?385 a4) a2 [385] by Super 4 with 7 at 2,3
% 0.22/0.50 Id : 47, {_}: product a2 a4 =>= a3 [] by Super 3 with 7 at 1,2
% 0.22/0.50 Id : 317, {_}: product (product a2 a3) a4 =>= product a3 a2 [] by Super 314 with 47 at 1,3
% 0.22/0.50 Id : 44, {_}: product a3 a2 =>= a1 [] by Super 3 with 6 at 1,2
% 0.22/0.50 Id : 328, {_}: product (product a2 a3) a4 =>= a1 [] by Demod 317 with 44 at 3
% 0.22/0.50 Id : 385, {_}: product a1 a4 =<= product a2 a3 [] by Super 3 with 328 at 1,2
% 0.22/0.50 Id : 396, {_}: product (product a1 a4) a2 =>= product a2 a1 [] by Demod 247 with 385 at 1,2
% 0.22/0.50 Id : 43, {_}: product (product a1 ?86) a2 =>= product a3 (product ?86 a2) [86] by Super 4 with 6 at 1,3
% 0.22/0.50 Id : 397, {_}: product a3 (product a4 a2) =>= product a2 a1 [] by Demod 396 with 43 at 2
% 0.22/0.50 Id : 480, {_}: product (product a2 a1) a4 =<= product a2 (product (product a4 a2) a4) [] by Super 477 with 397 at 1,2
% 0.22/0.50 Id : 315, {_}: product (product a4 a3) a4 =>= product a4 a2 [] by Super 314 with 2 at 1,3
% 0.22/0.50 Id : 77, {_}: product a4 a3 =>= a10 [] by Super 3 with 13 at 1,2
% 0.22/0.50 Id : 327, {_}: product a10 a4 =>= product a4 a2 [] by Demod 315 with 77 at 1,2
% 0.22/0.50 Id : 332, {_}: product (product a4 a2) a4 =>= a10 [] by Super 3 with 327 at 1,2
% 0.22/0.50 Id : 492, {_}: product (product a2 a1) a4 =>= product a2 a10 [] by Demod 480 with 332 at 2,3
% 0.22/0.50 Id : 493, {_}: product (product a2 a1) a4 =>= a5 [] by Demod 492 with 8 at 3
% 0.22/0.50 Id : 503, {_}: product a5 a4 =>= product a2 a1 [] by Super 3 with 493 at 1,2
% 0.22/0.50 Id : 506, {_}: a6 =<= product a2 a1 [] by Demod 503 with 9 at 2
% 0.22/0.50 Id : 528, {_}: product a6 a1 =>= a2 [] by Super 3 with 506 at 1,2
% 0.22/0.50 Id : 533, {_}: a7 =<= a2 [] by Demod 528 with 10 at 2
% 0.22/0.50 Id : 547, {_}: a3 =<= product a1 a7 [] by Demod 6 with 533 at 2,3
% 0.22/0.50 Id : 37, {_}: product a1 a7 =>= a9 [] by Super 3 with 5 at 1,2
% 0.22/0.50 Id : 566, {_}: a3 =>= a9 [] by Demod 547 with 37 at 3
% 0.22/0.50 Id : 575, {_}: a4 =<= product a10 a9 [] by Demod 13 with 566 at 2,3
% 0.22/0.50 Id : 74, {_}: product a10 a9 =>= a8 [] by Super 3 with 12 at 1,2
% 0.22/0.50 Id : 581, {_}: a4 =>= a8 [] by Demod 575 with 74 at 3
% 0.22/0.50 Id : 592, {_}: product a8 a8 =>= a7 [] by Demod 67 with 581 at 2,2
% 0.22/0.50 Id : 596, {_}: a8 =<= a7 [] by Demod 592 with 2 at 2
% 0.22/0.50 Id : 605, {_}: a1 =<= product a9 a8 [] by Demod 5 with 596 at 2,3
% 0.22/0.50 Id : 150, {_}: product (product ?225 a9) a7 =<= product (product ?225 a7) a1 [225] by Super 4 with 5 at 2,3
% 0.22/0.50 Id : 151, {_}: product (product a7 a9) a7 =>= product a7 a1 [] by Super 150 with 2 at 1,3
% 0.22/0.50 Id : 64, {_}: product a7 a1 =>= a6 [] by Super 3 with 10 at 1,2
% 0.22/0.50 Id : 158, {_}: product (product a7 a9) a7 =>= a6 [] by Demod 151 with 64 at 3
% 0.22/0.50 Id : 172, {_}: product a6 a7 =<= product a7 a9 [] by Super 3 with 158 at 1,2
% 0.22/0.50 Id : 184, {_}: product (product a6 a7) a9 =>= a7 [] by Super 3 with 172 at 1,2
% 0.22/0.50 Id : 395, {_}: product (product a2 a1) a2 =>= product a1 a4 [] by Demod 235 with 385 at 3
% 0.22/0.50 Id : 510, {_}: product a6 a2 =>= product a1 a4 [] by Demod 395 with 506 at 1,2
% 0.22/0.50 Id : 557, {_}: product a6 a7 =>= product a1 a4 [] by Demod 510 with 533 at 2,2
% 0.22/0.50 Id : 563, {_}: product (product a1 a4) a9 =>= a7 [] by Demod 184 with 557 at 1,2
% 0.22/0.50 Id : 593, {_}: product (product a1 a8) a9 =>= a7 [] by Demod 563 with 581 at 2,1,2
% 0.22/0.50 Id : 597, {_}: product (product a1 a8) a9 =>= a8 [] by Demod 593 with 596 at 3
% 0.22/0.50 Id : 604, {_}: product a1 a8 =>= a9 [] by Demod 37 with 596 at 2,2
% 0.22/0.50 Id : 612, {_}: product a9 a9 =>= a8 [] by Demod 597 with 604 at 1,2
% 0.22/0.50 Id : 613, {_}: a9 =<= a8 [] by Demod 612 with 2 at 2
% 0.22/0.50 Id : 625, {_}: a1 =<= product a9 a9 [] by Demod 605 with 613 at 2,3
% 0.22/0.50 Id : 629, {_}: a1 =<= a9 [] by Demod 625 with 2 at 3
% 0.22/0.50 Id : 633, {_}: a1 =<= a8 [] by Demod 613 with 629 at 2
% 0.22/0.50 Id : 607, {_}: product a8 a1 =>= a6 [] by Demod 64 with 596 at 1,2
% 0.22/0.50 Id : 624, {_}: product a9 a1 =>= a6 [] by Demod 607 with 613 at 1,2
% 0.22/0.50 Id : 637, {_}: product a1 a1 =>= a6 [] by Demod 624 with 629 at 1,2
% 0.22/0.50 Id : 638, {_}: a1 =<= a6 [] by Demod 637 with 2 at 2
% 0.22/0.50 Id : 620, {_}: a9 =<= a7 [] by Demod 596 with 613 at 2
% 0.22/0.50 Id : 648, {_}: a1 =<= a7 [] by Demod 620 with 629 at 2
% 0.22/0.50 Id : 609, {_}: a8 =<= a2 [] by Demod 533 with 596 at 2
% 0.22/0.50 Id : 628, {_}: a9 =<= a2 [] by Demod 609 with 613 at 2
% 0.22/0.50 Id : 635, {_}: a1 =<= a2 [] by Demod 628 with 629 at 2
% 0.22/0.50 Id : 632, {_}: a3 =>= a1 [] by Demod 566 with 629 at 3
% 0.22/0.50 Id : 623, {_}: a4 =>= a9 [] by Demod 581 with 613 at 3
% 0.22/0.50 Id : 639, {_}: a4 =>= a1 [] by Demod 623 with 629 at 3
% 0.22/0.50 Id : 548, {_}: a5 =<= product a7 a10 [] by Demod 8 with 533 at 1,3
% 0.22/0.50 Id : 598, {_}: a5 =<= product a8 a10 [] by Demod 548 with 596 at 1,3
% 0.22/0.50 Id : 614, {_}: a5 =<= product a9 a10 [] by Demod 598 with 613 at 1,3
% 0.22/0.50 Id : 659, {_}: a5 =<= product a1 a10 [] by Demod 614 with 629 at 1,3
% 0.22/0.50 Id : 622, {_}: a10 =<= product a9 a9 [] by Demod 12 with 613 at 1,3
% 0.22/0.50 Id : 640, {_}: a10 =>= a9 [] by Demod 622 with 2 at 3
% 0.22/0.50 Id : 641, {_}: a10 =>= a1 [] by Demod 640 with 629 at 3
% 0.22/0.50 Id : 660, {_}: a5 =<= product a1 a1 [] by Demod 659 with 641 at 2,3
% 0.22/0.50 Id : 661, {_}: a5 =>= a1 [] by Demod 660 with 2 at 3
% 0.22/0.50 Id : 817, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 === tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 [] by Demod 816 with 638 at 9,3
% 0.22/0.50 Id : 816, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a1 a6 [] by Demod 815 with 661 at 8,3
% 0.22/0.50 Id : 815, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a1 a5 a6 [] by Demod 814 with 639 at 7,3
% 0.22/0.50 Id : 814, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a1 a4 a5 a6 [] by Demod 813 with 632 at 6,3
% 0.22/0.50 Id : 813, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a1 a3 a4 a5 a6 [] by Demod 812 with 633 at 5,3
% 0.22/0.50 Id : 812, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a1 a8 a3 a4 a5 a6 [] by Demod 811 with 648 at 4,3
% 0.22/0.50 Id : 811, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a1 a7 a8 a3 a4 a5 a6 [] by Demod 810 with 629 at 3,3
% 0.22/0.50 Id : 810, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a1 a9 a7 a8 a3 a4 a5 a6 [] by Demod 809 with 641 at 2,3
% 0.22/0.50 Id : 809, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a1 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 808 with 635 at 1,3
% 0.22/0.50 Id : 808, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a1 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 807 with 661 at 9,2
% 0.22/0.50 Id : 807, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a1 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 806 with 639 at 8,2
% 0.22/0.50 Id : 806, {_}: tuple a1 a1 a1 a1 a1 a1 a1 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 805 with 632 at 7,2
% 0.22/0.50 Id : 805, {_}: tuple a1 a1 a1 a1 a1 a1 a3 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 804 with 635 at 6,2
% 0.22/0.50 Id : 804, {_}: tuple a1 a1 a1 a1 a1 a2 a3 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 803 with 648 at 5,2
% 0.22/0.50 Id : 803, {_}: tuple a1 a1 a1 a1 a7 a2 a3 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 802 with 638 at 4,2
% 0.22/0.50 Id : 802, {_}: tuple a1 a1 a1 a6 a7 a2 a3 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 801 with 633 at 3,2
% 0.22/0.50 Id : 801, {_}: tuple a1 a1 a8 a6 a7 a2 a3 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by Demod 1 with 629 at 2,2
% 0.22/0.50 Id : 1, {_}: tuple a1 a9 a8 a6 a7 a2 a3 a4 a5 =<= tuple a2 a10 a9 a7 a8 a3 a4 a5 a6 [] by goal
% 0.22/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.50 7510: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.134457 using nrkbo
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