TSTP Solution File: GRP583-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n015.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 10:30:52 EDT 2022
% Result : Unsatisfiable 54.82s 14.02s
% Output : CNFRefutation 54.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 21:28:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 24126: Facts:
% 0.13/0.34 24126: Id : 2, {_}:
% 0.13/0.34 double_divide
% 0.13/0.34 (double_divide ?2
% 0.13/0.34 (double_divide (double_divide identity ?3)
% 0.13/0.34 (double_divide ?4 (double_divide ?3 ?2))))
% 0.13/0.34 (double_divide identity identity)
% 0.13/0.34 =>=
% 0.13/0.34 ?4
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 24126: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 24126: Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 0.13/0.34 24126: Id : 5, {_}:
% 0.13/0.34 identity =<= double_divide ?11 (inverse ?11)
% 0.13/0.34 [11] by identity ?11
% 0.13/0.34 24126: Goal:
% 0.13/0.34 24126: Id : 1, {_}:
% 0.13/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.13/0.34 [] by prove_these_axioms_3
% 54.82/14.02 Statistics :
% 54.82/14.02 Max weight : 28
% 54.82/14.02 Found proof, 13.685633s
% 54.82/14.02 % SZS status Unsatisfiable for theBenchmark.p
% 54.82/14.02 % SZS output start CNFRefutation for theBenchmark.p
% 54.82/14.02 Id : 6, {_}: double_divide (double_divide ?13 (double_divide (double_divide identity ?14) (double_divide ?15 (double_divide ?14 ?13)))) (double_divide identity identity) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 54.82/14.02 Id : 5, {_}: identity =<= double_divide ?11 (inverse ?11) [11] by identity ?11
% 54.82/14.02 Id : 25, {_}: identity =<= double_divide ?65 (inverse ?65) [65] by identity ?65
% 54.82/14.02 Id : 3, {_}: multiply ?6 ?7 =<= double_divide (double_divide ?7 ?6) identity [7, 6] by multiply ?6 ?7
% 54.82/14.02 Id : 4, {_}: inverse ?9 =<= double_divide ?9 identity [9] by inverse ?9
% 54.82/14.02 Id : 2, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) (double_divide identity identity) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 54.82/14.02 Id : 16, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) (inverse identity) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 2,2
% 54.82/14.02 Id : 10, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?28 ?29)) (double_divide ?30 (multiply ?29 ?28)))) (double_divide identity identity) =>= ?30 [30, 29, 28] by Super 2 with 3 at 2,2,2,1,2
% 54.82/14.02 Id : 228, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?527 ?528)) (double_divide ?529 (multiply ?528 ?527)))) (inverse identity) =>= ?529 [529, 528, 527] by Demod 10 with 4 at 2,2
% 54.82/14.02 Id : 15, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by Demod 3 with 4 at 3
% 54.82/14.02 Id : 26, {_}: identity =<= double_divide (double_divide ?67 ?68) (multiply ?68 ?67) [68, 67] by Super 25 with 15 at 2,3
% 54.82/14.02 Id : 236, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?557 ?558)) identity)) (inverse identity) =>= double_divide ?557 ?558 [558, 557] by Super 228 with 26 at 2,2,1,2
% 54.82/14.02 Id : 260, {_}: double_divide (double_divide identity (inverse (double_divide identity (double_divide ?557 ?558)))) (inverse identity) =>= double_divide ?557 ?558 [558, 557] by Demod 236 with 4 at 2,1,2
% 54.82/14.02 Id : 281, {_}: double_divide (double_divide identity (multiply (double_divide ?649 ?650) identity)) (inverse identity) =>= double_divide ?649 ?650 [650, 649] by Demod 260 with 15 at 2,1,2
% 54.82/14.02 Id : 288, {_}: double_divide (double_divide identity (multiply ?670 identity)) (inverse identity) =<= double_divide (double_divide ?671 (double_divide (double_divide identity ?672) (double_divide ?670 (double_divide ?672 ?671)))) (inverse identity) [672, 671, 670] by Super 281 with 16 at 1,2,1,2
% 54.82/14.02 Id : 402, {_}: double_divide (double_divide identity (multiply ?777 identity)) (inverse identity) =>= ?777 [777] by Demod 288 with 16 at 3
% 54.82/14.02 Id : 24, {_}: multiply (inverse ?63) ?63 =>= inverse identity [63] by Super 15 with 5 at 1,3
% 54.82/14.02 Id : 410, {_}: double_divide (double_divide identity (inverse identity)) (inverse identity) =>= inverse identity [] by Super 402 with 24 at 2,1,2
% 54.82/14.02 Id : 421, {_}: double_divide identity (inverse identity) =>= inverse identity [] by Demod 410 with 5 at 1,2
% 54.82/14.02 Id : 422, {_}: identity =<= inverse identity [] by Demod 421 with 5 at 2
% 54.82/14.02 Id : 479, {_}: double_divide (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) identity =>= ?4 [4, 3, 2] by Demod 16 with 422 at 2,2
% 54.82/14.02 Id : 500, {_}: inverse (double_divide ?2 (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2)))) =>= ?4 [4, 3, 2] by Demod 479 with 4 at 2
% 54.82/14.02 Id : 501, {_}: multiply (double_divide (double_divide identity ?3) (double_divide ?4 (double_divide ?3 ?2))) ?2 =>= ?4 [2, 4, 3] by Demod 500 with 15 at 2
% 54.82/14.02 Id : 8, {_}: double_divide (double_divide identity (double_divide (double_divide identity identity) ?22)) (double_divide identity identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Super 6 with 2 at 2,2,1,2
% 54.82/14.02 Id : 90, {_}: double_divide (double_divide identity (double_divide (inverse identity) ?22)) (double_divide identity identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 8 with 4 at 1,2,1,2
% 54.82/14.02 Id : 91, {_}: double_divide (double_divide identity (double_divide (inverse identity) ?22)) (inverse identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 90 with 4 at 2,2
% 54.82/14.02 Id : 107, {_}: double_divide (double_divide (double_divide identity (double_divide (inverse identity) ?290)) (inverse identity)) (inverse identity) =>= ?290 [290] by Super 16 with 91 at 1,2
% 54.82/14.02 Id : 567, {_}: double_divide (double_divide (double_divide identity (double_divide identity ?290)) (inverse identity)) (inverse identity) =>= ?290 [290] by Demod 107 with 422 at 1,2,1,1,2
% 54.82/14.02 Id : 568, {_}: double_divide (double_divide (double_divide identity (double_divide identity ?290)) identity) (inverse identity) =>= ?290 [290] by Demod 567 with 422 at 2,1,2
% 54.82/14.02 Id : 569, {_}: double_divide (double_divide (double_divide identity (double_divide identity ?290)) identity) identity =>= ?290 [290] by Demod 568 with 422 at 2,2
% 54.82/14.02 Id : 570, {_}: inverse (double_divide (double_divide identity (double_divide identity ?290)) identity) =>= ?290 [290] by Demod 569 with 4 at 2
% 54.82/14.02 Id : 571, {_}: multiply identity (double_divide identity (double_divide identity ?290)) =>= ?290 [290] by Demod 570 with 15 at 2
% 54.82/14.02 Id : 17, {_}: multiply identity ?45 =>= inverse (inverse ?45) [45] by Super 15 with 4 at 1,3
% 54.82/14.02 Id : 572, {_}: inverse (inverse (double_divide identity (double_divide identity ?290))) =>= ?290 [290] by Demod 571 with 17 at 2
% 54.82/14.02 Id : 573, {_}: inverse (multiply (double_divide identity ?290) identity) =>= ?290 [290] by Demod 572 with 15 at 1,2
% 54.82/14.02 Id : 574, {_}: identity =<= double_divide (multiply (double_divide identity ?909) identity) ?909 [909] by Super 5 with 573 at 2,3
% 54.82/14.02 Id : 602, {_}: multiply (double_divide (double_divide identity ?939) identity) ?940 =?= multiply (double_divide identity (double_divide ?939 ?940)) identity [940, 939] by Super 501 with 574 at 2,1,2
% 54.82/14.02 Id : 629, {_}: multiply (inverse (double_divide identity ?939)) ?940 =<= multiply (double_divide identity (double_divide ?939 ?940)) identity [940, 939] by Demod 602 with 4 at 1,2
% 54.82/14.02 Id : 630, {_}: multiply (multiply ?939 identity) ?940 =<= multiply (double_divide identity (double_divide ?939 ?940)) identity [940, 939] by Demod 629 with 15 at 1,2
% 54.82/14.02 Id : 19, {_}: double_divide (double_divide ?50 (double_divide (inverse identity) (double_divide ?51 (double_divide identity ?50)))) (inverse identity) =>= ?51 [51, 50] by Super 16 with 4 at 1,2,1,2
% 54.82/14.02 Id : 1312, {_}: double_divide (double_divide ?50 (double_divide identity (double_divide ?51 (double_divide identity ?50)))) (inverse identity) =>= ?51 [51, 50] by Demod 19 with 422 at 1,2,1,2
% 54.82/14.02 Id : 1313, {_}: double_divide (double_divide ?50 (double_divide identity (double_divide ?51 (double_divide identity ?50)))) identity =>= ?51 [51, 50] by Demod 1312 with 422 at 2,2
% 54.82/14.02 Id : 1314, {_}: inverse (double_divide ?50 (double_divide identity (double_divide ?51 (double_divide identity ?50)))) =>= ?51 [51, 50] by Demod 1313 with 4 at 2
% 54.82/14.02 Id : 1327, {_}: multiply (double_divide identity (double_divide ?1658 (double_divide identity ?1659))) ?1659 =>= ?1658 [1659, 1658] by Demod 1314 with 15 at 2
% 54.82/14.02 Id : 483, {_}: double_divide (double_divide identity (double_divide identity ?22)) (inverse identity) =?= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 91 with 422 at 1,2,1,2
% 54.82/14.02 Id : 484, {_}: double_divide (double_divide identity (double_divide identity ?22)) identity =<= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 483 with 422 at 2,2
% 54.82/14.02 Id : 495, {_}: inverse (double_divide identity (double_divide identity ?22)) =<= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 484 with 4 at 2
% 54.82/14.02 Id : 496, {_}: multiply (double_divide identity ?22) identity =<= double_divide ?23 (double_divide (double_divide identity ?24) (double_divide ?22 (double_divide ?24 ?23))) [24, 23, 22] by Demod 495 with 15 at 2
% 54.82/14.02 Id : 1343, {_}: multiply (multiply (double_divide identity identity) identity) (double_divide ?1703 identity) =>= double_divide identity ?1703 [1703] by Super 1327 with 496 at 1,2
% 54.82/14.02 Id : 1388, {_}: multiply (multiply (inverse identity) identity) (double_divide ?1703 identity) =>= double_divide identity ?1703 [1703] by Demod 1343 with 4 at 1,1,2
% 54.82/14.02 Id : 1389, {_}: multiply (multiply (inverse identity) identity) (inverse ?1703) =>= double_divide identity ?1703 [1703] by Demod 1388 with 4 at 2,2
% 54.82/14.02 Id : 482, {_}: multiply (inverse ?63) ?63 =>= identity [63] by Demod 24 with 422 at 3
% 54.82/14.02 Id : 1390, {_}: multiply identity (inverse ?1703) =>= double_divide identity ?1703 [1703] by Demod 1389 with 482 at 1,2
% 54.82/14.02 Id : 1400, {_}: inverse (inverse (inverse ?1725)) =>= double_divide identity ?1725 [1725] by Demod 1390 with 17 at 2
% 54.82/14.02 Id : 1402, {_}: inverse (inverse (multiply ?1729 ?1730)) =<= double_divide identity (double_divide ?1730 ?1729) [1730, 1729] by Super 1400 with 15 at 1,1,2
% 54.82/14.02 Id : 1672, {_}: multiply (multiply ?939 identity) ?940 =<= multiply (inverse (inverse (multiply ?940 ?939))) identity [940, 939] by Demod 630 with 1402 at 1,3
% 54.82/14.02 Id : 307, {_}: double_divide (double_divide identity (multiply ?670 identity)) (inverse identity) =>= ?670 [670] by Demod 288 with 16 at 3
% 54.82/14.02 Id : 471, {_}: double_divide (double_divide identity (multiply ?670 identity)) identity =>= ?670 [670] by Demod 307 with 422 at 2,2
% 54.82/14.02 Id : 509, {_}: inverse (double_divide identity (multiply ?670 identity)) =>= ?670 [670] by Demod 471 with 4 at 2
% 54.82/14.02 Id : 510, {_}: multiply (multiply ?670 identity) identity =>= ?670 [670] by Demod 509 with 15 at 2
% 54.82/14.02 Id : 220, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?28 ?29)) (double_divide ?30 (multiply ?29 ?28)))) (inverse identity) =>= ?30 [30, 29, 28] by Demod 10 with 4 at 2,2
% 54.82/14.02 Id : 475, {_}: double_divide (double_divide identity (double_divide (double_divide identity (double_divide ?28 ?29)) (double_divide ?30 (multiply ?29 ?28)))) identity =>= ?30 [30, 29, 28] by Demod 220 with 422 at 2,2
% 54.82/14.02 Id : 502, {_}: inverse (double_divide identity (double_divide (double_divide identity (double_divide ?28 ?29)) (double_divide ?30 (multiply ?29 ?28)))) =>= ?30 [30, 29, 28] by Demod 475 with 4 at 2
% 54.82/14.02 Id : 503, {_}: multiply (double_divide (double_divide identity (double_divide ?28 ?29)) (double_divide ?30 (multiply ?29 ?28))) identity =>= ?30 [30, 29, 28] by Demod 502 with 15 at 2
% 54.82/14.02 Id : 575, {_}: multiply ?911 (multiply (double_divide identity ?911) identity) =>= identity [911] by Super 482 with 573 at 1,2
% 54.82/14.02 Id : 655, {_}: multiply (double_divide (double_divide identity (double_divide (multiply (double_divide identity ?979) identity) ?979)) (double_divide ?980 identity)) identity =>= ?980 [980, 979] by Super 503 with 575 at 2,2,1,2
% 54.82/14.02 Id : 666, {_}: multiply (double_divide (double_divide identity identity) (double_divide ?980 identity)) identity =>= ?980 [980] by Demod 655 with 574 at 2,1,1,2
% 54.82/14.02 Id : 667, {_}: multiply (double_divide (double_divide identity identity) (inverse ?980)) identity =>= ?980 [980] by Demod 666 with 4 at 2,1,2
% 54.82/14.02 Id : 668, {_}: multiply (double_divide (inverse identity) (inverse ?980)) identity =>= ?980 [980] by Demod 667 with 4 at 1,1,2
% 54.82/14.02 Id : 669, {_}: multiply (double_divide identity (inverse ?980)) identity =>= ?980 [980] by Demod 668 with 422 at 1,1,2
% 54.82/14.02 Id : 703, {_}: multiply ?1011 identity =<= double_divide identity (inverse ?1011) [1011] by Super 510 with 669 at 1,2
% 54.82/14.02 Id : 785, {_}: multiply (inverse ?1106) identity =>= inverse (multiply ?1106 identity) [1106] by Super 15 with 703 at 1,3
% 54.82/14.02 Id : 1673, {_}: multiply (multiply ?939 identity) ?940 =<= inverse (multiply (inverse (multiply ?940 ?939)) identity) [940, 939] by Demod 1672 with 785 at 3
% 54.82/14.02 Id : 1674, {_}: multiply (multiply ?939 identity) ?940 =<= inverse (inverse (multiply (multiply ?940 ?939) identity)) [940, 939] by Demod 1673 with 785 at 1,3
% 54.82/14.02 Id : 1315, {_}: multiply (double_divide identity (double_divide ?51 (double_divide identity ?50))) ?50 =>= ?51 [50, 51] by Demod 1314 with 15 at 2
% 54.82/14.02 Id : 1555, {_}: multiply (inverse (inverse (multiply (double_divide identity ?50) ?51))) ?50 =>= ?51 [51, 50] by Demod 1315 with 1402 at 1,2
% 54.82/14.02 Id : 1686, {_}: multiply (multiply ?1968 identity) ?1969 =<= inverse (inverse (multiply (multiply ?1969 ?1968) identity)) [1969, 1968] by Demod 1673 with 785 at 1,3
% 54.82/14.02 Id : 1694, {_}: multiply (multiply (multiply (double_divide identity ?1990) identity) identity) ?1990 =>= inverse (inverse (multiply identity identity)) [1990] by Super 1686 with 575 at 1,1,1,3
% 54.82/14.02 Id : 1743, {_}: multiply (double_divide identity ?1990) ?1990 =>= inverse (inverse (multiply identity identity)) [1990] by Demod 1694 with 510 at 1,2
% 54.82/14.02 Id : 1744, {_}: multiply (double_divide identity ?1990) ?1990 =>= inverse (inverse (inverse (inverse identity))) [1990] by Demod 1743 with 17 at 1,1,3
% 54.82/14.02 Id : 1391, {_}: inverse (inverse (inverse ?1703)) =>= double_divide identity ?1703 [1703] by Demod 1390 with 17 at 2
% 54.82/14.02 Id : 1745, {_}: multiply (double_divide identity ?1990) ?1990 =?= double_divide identity (inverse identity) [1990] by Demod 1744 with 1391 at 3
% 54.82/14.02 Id : 1746, {_}: multiply (double_divide identity ?1990) ?1990 =>= identity [1990] by Demod 1745 with 5 at 3
% 54.82/14.02 Id : 1793, {_}: multiply (inverse (inverse identity)) ?2024 =>= ?2024 [2024] by Super 1555 with 1746 at 1,1,1,2
% 54.82/14.02 Id : 1857, {_}: multiply (inverse identity) ?2024 =>= ?2024 [2024] by Demod 1793 with 422 at 1,1,2
% 54.82/14.02 Id : 1858, {_}: multiply identity ?2024 =>= ?2024 [2024] by Demod 1857 with 422 at 1,2
% 54.82/14.02 Id : 1859, {_}: inverse (inverse ?2024) =>= ?2024 [2024] by Demod 1858 with 17 at 2
% 54.82/14.02 Id : 1879, {_}: multiply (multiply ?939 identity) ?940 =?= multiply (multiply ?940 ?939) identity [940, 939] by Demod 1674 with 1859 at 3
% 54.82/14.02 Id : 1874, {_}: inverse ?1703 =<= double_divide identity ?1703 [1703] by Demod 1391 with 1859 at 2
% 54.82/14.02 Id : 1890, {_}: multiply ?1011 identity =>= inverse (inverse ?1011) [1011] by Demod 703 with 1874 at 3
% 54.82/14.02 Id : 1893, {_}: multiply ?1011 identity =>= ?1011 [1011] by Demod 1890 with 1859 at 3
% 54.82/14.02 Id : 1902, {_}: multiply ?939 ?940 =<= multiply (multiply ?940 ?939) identity [940, 939] by Demod 1879 with 1893 at 1,2
% 54.82/14.02 Id : 1903, {_}: multiply ?939 ?940 =?= multiply ?940 ?939 [940, 939] by Demod 1902 with 1893 at 3
% 54.82/14.02 Id : 1886, {_}: multiply (double_divide (inverse ?3) (double_divide ?4 (double_divide ?3 ?2))) ?2 =>= ?4 [2, 4, 3] by Demod 501 with 1874 at 1,1,2
% 54.82/14.02 Id : 1909, {_}: multiply ?2 (double_divide (inverse ?3) (double_divide ?4 (double_divide ?3 ?2))) =>= ?4 [4, 3, 2] by Demod 1886 with 1903 at 2
% 54.82/14.02 Id : 1872, {_}: multiply (multiply (double_divide identity ?50) ?51) ?50 =>= ?51 [51, 50] by Demod 1555 with 1859 at 1,2
% 54.82/14.02 Id : 1917, {_}: multiply ?50 (multiply (double_divide identity ?50) ?51) =>= ?51 [51, 50] by Demod 1872 with 1903 at 2
% 54.82/14.02 Id : 1918, {_}: multiply ?50 (multiply (inverse ?50) ?51) =>= ?51 [51, 50] by Demod 1917 with 1874 at 1,2,2
% 54.82/14.02 Id : 22, {_}: double_divide (double_divide (inverse ?57) (double_divide (double_divide identity ?57) (double_divide ?58 identity))) (inverse identity) =>= ?58 [58, 57] by Super 16 with 5 at 2,2,2,1,2
% 54.82/14.02 Id : 28, {_}: double_divide (double_divide (inverse ?57) (double_divide (double_divide identity ?57) (inverse ?58))) (inverse identity) =>= ?58 [58, 57] by Demod 22 with 4 at 2,2,1,2
% 54.82/14.02 Id : 1992, {_}: double_divide (double_divide (inverse ?57) (double_divide (inverse ?57) (inverse ?58))) (inverse identity) =>= ?58 [58, 57] by Demod 28 with 1874 at 1,2,1,2
% 54.82/14.02 Id : 1993, {_}: double_divide (double_divide (inverse ?57) (double_divide (inverse ?57) (inverse ?58))) identity =>= ?58 [58, 57] by Demod 1992 with 422 at 2,2
% 54.82/14.02 Id : 1994, {_}: inverse (double_divide (inverse ?57) (double_divide (inverse ?57) (inverse ?58))) =>= ?58 [58, 57] by Demod 1993 with 4 at 2
% 54.82/14.02 Id : 1995, {_}: multiply (double_divide (inverse ?57) (inverse ?58)) (inverse ?57) =>= ?58 [58, 57] by Demod 1994 with 15 at 2
% 54.82/14.02 Id : 1996, {_}: multiply (inverse ?57) (double_divide (inverse ?57) (inverse ?58)) =>= ?58 [58, 57] by Demod 1995 with 1903 at 2
% 54.82/14.02 Id : 2052, {_}: multiply ?2246 ?2247 =<= double_divide (inverse ?2246) (inverse ?2247) [2247, 2246] by Super 1918 with 1996 at 2,2
% 54.82/14.02 Id : 2053, {_}: multiply ?2249 (inverse ?2250) =<= double_divide (inverse ?2249) ?2250 [2250, 2249] by Super 2052 with 1859 at 2,3
% 54.82/14.02 Id : 2084, {_}: multiply ?2 (multiply ?3 (inverse (double_divide ?4 (double_divide ?3 ?2)))) =>= ?4 [4, 3, 2] by Demod 1909 with 2053 at 2,2
% 54.82/14.02 Id : 2085, {_}: multiply ?2 (multiply ?3 (multiply (double_divide ?3 ?2) ?4)) =>= ?4 [4, 3, 2] by Demod 2084 with 15 at 2,2,2
% 54.82/14.02 Id : 2002, {_}: multiply ?2171 ?2172 =<= double_divide (inverse ?2171) (inverse ?2172) [2172, 2171] by Super 1918 with 1996 at 2,2
% 54.82/14.02 Id : 2048, {_}: multiply (inverse ?2233) (inverse ?2234) =>= inverse (multiply ?2234 ?2233) [2234, 2233] by Super 15 with 2002 at 1,3
% 54.82/14.02 Id : 793, {_}: multiply ?1127 identity =<= double_divide identity (inverse ?1127) [1127] by Super 510 with 669 at 1,2
% 54.82/14.02 Id : 795, {_}: multiply (double_divide ?1131 ?1132) identity =<= double_divide identity (multiply ?1132 ?1131) [1132, 1131] by Super 793 with 15 at 2,3
% 54.82/14.02 Id : 1883, {_}: multiply (double_divide ?1131 ?1132) identity =>= inverse (multiply ?1132 ?1131) [1132, 1131] by Demod 795 with 1874 at 3
% 54.82/14.02 Id : 1912, {_}: double_divide ?1131 ?1132 =<= inverse (multiply ?1132 ?1131) [1132, 1131] by Demod 1883 with 1893 at 2
% 54.82/14.02 Id : 2065, {_}: multiply (inverse ?2233) (inverse ?2234) =>= double_divide ?2233 ?2234 [2234, 2233] by Demod 2048 with 1912 at 3
% 54.82/14.02 Id : 2179, {_}: multiply ?2412 (double_divide ?2412 ?2413) =>= inverse ?2413 [2413, 2412] by Super 1918 with 2065 at 2,2
% 54.82/14.02 Id : 3362, {_}: multiply ?3705 (multiply ?3706 (inverse ?3707)) =>= double_divide (double_divide ?3706 ?3705) ?3707 [3707, 3706, 3705] by Super 2085 with 2179 at 2,2,2
% 54.82/14.02 Id : 3363, {_}: multiply ?3709 (multiply ?3710 ?3711) =<= double_divide (double_divide ?3710 ?3709) (inverse ?3711) [3711, 3710, 3709] by Super 3362 with 1859 at 2,2,2
% 54.82/14.02 Id : 2057, {_}: multiply (inverse ?2262) ?2263 =<= double_divide ?2262 (inverse ?2263) [2263, 2262] by Super 2052 with 1859 at 1,3
% 54.82/14.02 Id : 3398, {_}: multiply ?3709 (multiply ?3710 ?3711) =<= multiply (inverse (double_divide ?3710 ?3709)) ?3711 [3711, 3710, 3709] by Demod 3363 with 2057 at 3
% 54.82/14.02 Id : 3399, {_}: multiply ?3709 (multiply ?3710 ?3711) =<= multiply (multiply ?3709 ?3710) ?3711 [3711, 3710, 3709] by Demod 3398 with 15 at 1,3
% 54.82/14.02 Id : 3430, {_}: multiply ?3816 (multiply ?3817 ?3818) =?= multiply ?3817 (multiply ?3818 ?3816) [3818, 3817, 3816] by Super 1903 with 3399 at 3
% 54.82/14.02 Id : 77699, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 77698 with 3430 at 2
% 54.82/14.02 Id : 77698, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 1903 at 2
% 54.82/14.02 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 54.82/14.02 % SZS output end CNFRefutation for theBenchmark.p
% 54.82/14.02 24127: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 13.686135 using kbo
%------------------------------------------------------------------------------