TSTP Solution File: GRP599-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n008.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 10:30:56 EDT 2022
% Result : Unsatisfiable 49.23s 12.63s
% Output : CNFRefutation 49.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 08:20:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 897: Facts:
% 0.13/0.34 897: Id : 2, {_}:
% 0.13/0.34 double_divide (double_divide ?2 ?3)
% 0.13/0.34 (inverse
% 0.13/0.34 (double_divide ?2 (inverse (double_divide (inverse ?4) ?3))))
% 0.13/0.34 =>=
% 0.13/0.34 ?4
% 0.13/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.34 897: Id : 3, {_}:
% 0.13/0.34 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.13/0.34 [7, 6] by multiply ?6 ?7
% 0.13/0.34 897: Goal:
% 0.13/0.34 897: 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
% 49.23/12.63 Statistics :
% 49.23/12.63 Max weight : 26
% 49.23/12.63 Found proof, 12.288899s
% 49.23/12.63 % SZS status Unsatisfiable for theBenchmark.p
% 49.23/12.63 % SZS output start CNFRefutation for theBenchmark.p
% 49.23/12.63 Id : 11, {_}: multiply ?29 ?30 =<= inverse (double_divide ?30 ?29) [30, 29] by multiply ?29 ?30
% 49.23/12.63 Id : 2, {_}: double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse (double_divide (inverse ?4) ?3)))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 49.23/12.63 Id : 4, {_}: double_divide (double_divide ?9 ?10) (inverse (double_divide ?9 (inverse (double_divide (inverse ?11) ?10)))) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 49.23/12.63 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 49.23/12.63 Id : 5, {_}: double_divide (double_divide (double_divide (inverse ?13) ?14) (inverse (double_divide (inverse ?15) ?14))) (inverse ?15) =>= ?13 [15, 14, 13] by Super 4 with 2 at 1,2,2
% 49.23/12.63 Id : 14, {_}: double_divide (double_divide (double_divide (inverse ?13) ?14) (multiply ?14 (inverse ?15))) (inverse ?15) =>= ?13 [15, 14, 13] by Demod 5 with 3 at 2,1,2
% 49.23/12.63 Id : 6, {_}: double_divide ?17 (inverse (double_divide (double_divide ?18 ?19) (inverse (double_divide (inverse ?20) (inverse (double_divide ?18 (inverse (double_divide (inverse ?17) ?19)))))))) =>= ?20 [20, 19, 18, 17] by Super 4 with 2 at 1,2
% 49.23/12.63 Id : 46, {_}: double_divide ?17 (multiply (inverse (double_divide (inverse ?20) (inverse (double_divide ?18 (inverse (double_divide (inverse ?17) ?19)))))) (double_divide ?18 ?19)) =>= ?20 [19, 18, 20, 17] by Demod 6 with 3 at 2,2
% 49.23/12.63 Id : 47, {_}: double_divide ?17 (multiply (multiply (inverse (double_divide ?18 (inverse (double_divide (inverse ?17) ?19)))) (inverse ?20)) (double_divide ?18 ?19)) =>= ?20 [20, 19, 18, 17] by Demod 46 with 3 at 1,2,2
% 49.23/12.63 Id : 48, {_}: double_divide ?17 (multiply (multiply (multiply (inverse (double_divide (inverse ?17) ?19)) ?18) (inverse ?20)) (double_divide ?18 ?19)) =>= ?20 [20, 18, 19, 17] by Demod 47 with 3 at 1,1,2,2
% 49.23/12.63 Id : 49, {_}: double_divide ?17 (multiply (multiply (multiply (multiply ?19 (inverse ?17)) ?18) (inverse ?20)) (double_divide ?18 ?19)) =>= ?20 [20, 18, 19, 17] by Demod 48 with 3 at 1,1,1,2,2
% 49.23/12.63 Id : 8, {_}: double_divide (double_divide ?2 ?3) (multiply (inverse (double_divide (inverse ?4) ?3)) ?2) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 49.23/12.63 Id : 9, {_}: double_divide (double_divide ?2 ?3) (multiply (multiply ?3 (inverse ?4)) ?2) =>= ?4 [4, 3, 2] by Demod 8 with 3 at 1,2,2
% 49.23/12.63 Id : 25, {_}: multiply (multiply (multiply ?73 (inverse ?74)) ?75) (double_divide ?75 ?73) =>= inverse ?74 [75, 74, 73] by Super 11 with 9 at 1,3
% 49.23/12.63 Id : 26, {_}: multiply (multiply (multiply (multiply (multiply ?77 (inverse ?78)) ?79) (inverse ?80)) (double_divide ?79 ?77)) ?78 =>= inverse ?80 [80, 79, 78, 77] by Super 25 with 9 at 2,2
% 49.23/12.63 Id : 222, {_}: double_divide ?809 (multiply (inverse ?809) (double_divide (double_divide ?810 ?811) (multiply (multiply ?811 (inverse (inverse ?812))) ?810))) =>= ?812 [812, 811, 810, 809] by Super 49 with 26 at 1,2,2
% 49.23/12.63 Id : 273, {_}: double_divide ?1011 (multiply (inverse ?1011) (inverse ?1012)) =>= ?1012 [1012, 1011] by Demod 222 with 9 at 2,2,2
% 49.23/12.63 Id : 274, {_}: double_divide ?1014 (multiply (inverse ?1014) (multiply ?1015 ?1016)) =>= double_divide ?1016 ?1015 [1016, 1015, 1014] by Super 273 with 3 at 2,2,2
% 49.23/12.63 Id : 230, {_}: multiply (multiply (multiply (multiply (multiply ?863 (inverse ?864)) ?865) (inverse ?866)) (double_divide ?865 ?863)) ?864 =>= inverse ?866 [866, 865, 864, 863] by Super 25 with 9 at 2,2
% 49.23/12.63 Id : 243, {_}: multiply (multiply (inverse ?945) (double_divide (double_divide ?946 ?947) (multiply (multiply ?947 (inverse (inverse ?948))) ?946))) ?945 =>= inverse ?948 [948, 947, 946, 945] by Super 230 with 26 at 1,1,2
% 49.23/12.63 Id : 259, {_}: multiply (multiply (inverse ?945) (inverse ?948)) ?945 =>= inverse ?948 [948, 945] by Demod 243 with 9 at 2,1,2
% 49.23/12.63 Id : 12, {_}: multiply (multiply (multiply ?32 (inverse ?33)) ?34) (double_divide ?34 ?32) =>= inverse ?33 [34, 33, 32] by Super 11 with 9 at 1,3
% 49.23/12.63 Id : 323, {_}: multiply (inverse ?1167) (double_divide ?1168 (inverse ?1168)) =>= inverse ?1167 [1168, 1167] by Super 12 with 259 at 1,2
% 49.23/12.63 Id : 325, {_}: multiply (multiply ?1174 ?1175) (double_divide ?1176 (inverse ?1176)) =>= inverse (double_divide ?1175 ?1174) [1176, 1175, 1174] by Super 323 with 3 at 1,2
% 49.23/12.63 Id : 337, {_}: multiply (multiply ?1174 ?1175) (double_divide ?1176 (inverse ?1176)) =>= multiply ?1174 ?1175 [1176, 1175, 1174] by Demod 325 with 3 at 3
% 49.23/12.63 Id : 516, {_}: multiply (inverse (double_divide ?1750 (inverse ?1750))) (inverse ?1751) =>= inverse ?1751 [1751, 1750] by Super 259 with 337 at 2
% 49.23/12.63 Id : 578, {_}: multiply (multiply (inverse ?1750) ?1750) (inverse ?1751) =>= inverse ?1751 [1751, 1750] by Demod 516 with 3 at 1,2
% 49.23/12.63 Id : 631, {_}: double_divide ?2047 (multiply (inverse ?2047) (inverse ?2048)) =?= double_divide (inverse ?2048) (multiply (inverse ?2049) ?2049) [2049, 2048, 2047] by Super 274 with 578 at 2,2,2
% 49.23/12.63 Id : 253, {_}: double_divide ?809 (multiply (inverse ?809) (inverse ?812)) =>= ?812 [812, 809] by Demod 222 with 9 at 2,2,2
% 49.23/12.63 Id : 641, {_}: ?2048 =<= double_divide (inverse ?2048) (multiply (inverse ?2049) ?2049) [2049, 2048] by Demod 631 with 253 at 2
% 49.23/12.63 Id : 664, {_}: double_divide (double_divide ?2098 (multiply (multiply (inverse ?2099) ?2099) (inverse ?2100))) (inverse ?2100) =>= ?2098 [2100, 2099, 2098] by Super 14 with 641 at 1,1,2
% 49.23/12.63 Id : 679, {_}: double_divide (double_divide ?2098 (inverse ?2100)) (inverse ?2100) =>= ?2098 [2100, 2098] by Demod 664 with 578 at 2,1,2
% 49.23/12.63 Id : 662, {_}: double_divide ?2091 (multiply (multiply (multiply (inverse ?2092) ?2092) (inverse ?2093)) (inverse ?2091)) =>= ?2093 [2093, 2092, 2091] by Super 9 with 641 at 1,2
% 49.23/12.63 Id : 681, {_}: double_divide ?2091 (multiply (inverse ?2093) (inverse ?2091)) =>= ?2093 [2093, 2091] by Demod 662 with 578 at 1,2,2
% 49.23/12.63 Id : 832, {_}: ?2706 =<= inverse (inverse ?2706) [2706] by Super 641 with 681 at 3
% 49.23/12.63 Id : 849, {_}: double_divide (double_divide ?2725 (inverse (inverse ?2726))) ?2726 =>= ?2725 [2726, 2725] by Super 679 with 832 at 2,2
% 49.23/12.63 Id : 917, {_}: double_divide (double_divide ?2725 ?2726) ?2726 =>= ?2725 [2726, 2725] by Demod 849 with 832 at 2,1,2
% 49.23/12.63 Id : 1027, {_}: multiply ?3214 (double_divide ?3215 ?3214) =>= inverse ?3215 [3215, 3214] by Super 3 with 917 at 1,3
% 49.23/12.63 Id : 880, {_}: double_divide ?2854 (multiply (inverse ?2854) ?2855) =>= inverse ?2855 [2855, 2854] by Super 253 with 832 at 2,2,2
% 49.23/12.63 Id : 1522, {_}: double_divide ?4406 (multiply (inverse ?4406) ?4407) =>= inverse ?4407 [4407, 4406] by Super 253 with 832 at 2,2,2
% 49.23/12.63 Id : 1529, {_}: double_divide ?4432 (inverse ?4433) =<= inverse (double_divide ?4433 (inverse ?4432)) [4433, 4432] by Super 1522 with 1027 at 2,2
% 49.23/12.63 Id : 1583, {_}: double_divide ?4544 (inverse ?4545) =>= multiply (inverse ?4544) ?4545 [4545, 4544] by Demod 1529 with 3 at 3
% 49.23/12.63 Id : 1585, {_}: double_divide ?4551 ?4552 =<= multiply (inverse ?4551) (inverse ?4552) [4552, 4551] by Super 1583 with 832 at 2,2
% 49.23/12.63 Id : 1636, {_}: double_divide ?4667 (double_divide ?4667 ?4668) =>= inverse (inverse ?4668) [4668, 4667] by Super 880 with 1585 at 2,2
% 49.23/12.63 Id : 1653, {_}: double_divide ?4667 (double_divide ?4667 ?4668) =>= ?4668 [4668, 4667] by Demod 1636 with 832 at 3
% 49.23/12.63 Id : 2014, {_}: multiply (double_divide ?5714 ?5715) ?5715 =>= inverse ?5714 [5715, 5714] by Super 1027 with 1653 at 2,2
% 49.23/12.63 Id : 1610, {_}: double_divide ?2091 (double_divide ?2093 ?2091) =>= ?2093 [2093, 2091] by Demod 681 with 1585 at 2,2
% 49.23/12.63 Id : 2208, {_}: multiply ?6076 (double_divide ?6076 ?6077) =>= inverse ?6077 [6077, 6076] by Super 2014 with 1610 at 1,2
% 49.23/12.63 Id : 2209, {_}: multiply (double_divide ?6079 ?6080) ?6081 =<= inverse (multiply (multiply ?6080 (inverse ?6081)) ?6079) [6081, 6080, 6079] by Super 2208 with 9 at 2,2
% 49.23/12.63 Id : 894, {_}: ?2908 =<= inverse (inverse ?2908) [2908] by Super 641 with 681 at 3
% 49.23/12.63 Id : 895, {_}: double_divide ?2910 ?2911 =<= inverse (multiply ?2911 ?2910) [2911, 2910] by Super 894 with 3 at 1,3
% 49.23/12.63 Id : 4891, {_}: multiply (double_divide ?11471 ?11472) ?11473 =<= double_divide ?11471 (multiply ?11472 (inverse ?11473)) [11473, 11472, 11471] by Demod 2209 with 895 at 3
% 49.23/12.63 Id : 4893, {_}: multiply (double_divide ?11480 ?11481) (inverse ?11482) =>= double_divide ?11480 (multiply ?11481 ?11482) [11482, 11481, 11480] by Super 4891 with 832 at 2,2,3
% 49.23/12.63 Id : 1641, {_}: double_divide ?4685 ?4686 =<= multiply (inverse ?4685) (inverse ?4686) [4686, 4685] by Super 1583 with 832 at 2,2
% 49.23/12.63 Id : 1647, {_}: double_divide (multiply ?4706 ?4707) ?4708 =<= multiply (double_divide ?4707 ?4706) (inverse ?4708) [4708, 4707, 4706] by Super 1641 with 895 at 1,3
% 49.23/12.63 Id : 4968, {_}: double_divide (multiply ?11481 ?11480) ?11482 =>= double_divide ?11480 (multiply ?11481 ?11482) [11482, 11480, 11481] by Demod 4893 with 1647 at 2
% 49.23/12.63 Id : 5047, {_}: multiply ?11696 (multiply ?11697 ?11698) =<= inverse (double_divide ?11698 (multiply ?11697 ?11696)) [11698, 11697, 11696] by Super 3 with 4968 at 1,3
% 49.23/12.63 Id : 5112, {_}: multiply ?11696 (multiply ?11697 ?11698) =<= multiply (multiply ?11697 ?11696) ?11698 [11698, 11697, 11696] by Demod 5047 with 3 at 3
% 49.23/12.63 Id : 10, {_}: double_divide (double_divide ?24 ?25) (multiply (multiply ?25 (multiply ?26 ?27)) ?24) =>= double_divide ?27 ?26 [27, 26, 25, 24] by Super 9 with 3 at 2,1,2,2
% 49.23/12.63 Id : 2210, {_}: multiply (double_divide ?6083 ?6084) (double_divide ?6085 ?6086) =<= inverse (multiply (multiply ?6084 (multiply ?6086 ?6085)) ?6083) [6086, 6085, 6084, 6083] by Super 2208 with 10 at 2,2
% 49.23/12.63 Id : 2270, {_}: multiply (double_divide ?6083 ?6084) (double_divide ?6085 ?6086) =<= double_divide ?6083 (multiply ?6084 (multiply ?6086 ?6085)) [6086, 6085, 6084, 6083] by Demod 2210 with 895 at 3
% 49.23/12.63 Id : 7784, {_}: double_divide ?17430 (multiply (double_divide ?17430 ?17431) (double_divide ?17432 ?17433)) =>= multiply ?17431 (multiply ?17433 ?17432) [17433, 17432, 17431, 17430] by Super 1653 with 2270 at 2,2
% 49.23/12.63 Id : 1779, {_}: double_divide ?4946 (double_divide ?4946 ?4947) =>= ?4947 [4947, 4946] by Demod 1636 with 832 at 3
% 49.23/12.63 Id : 4439, {_}: double_divide (double_divide ?10467 ?10468) ?10469 =<= multiply (multiply ?10468 (inverse ?10469)) ?10467 [10469, 10468, 10467] by Super 1779 with 9 at 2,2
% 49.23/12.63 Id : 4449, {_}: double_divide (double_divide ?10513 (inverse ?10514)) ?10515 =>= multiply (double_divide ?10514 ?10515) ?10513 [10515, 10514, 10513] by Super 4439 with 1585 at 1,3
% 49.23/12.63 Id : 1549, {_}: double_divide ?4432 (inverse ?4433) =>= multiply (inverse ?4432) ?4433 [4433, 4432] by Demod 1529 with 3 at 3
% 49.23/12.63 Id : 4526, {_}: double_divide (multiply (inverse ?10513) ?10514) ?10515 =>= multiply (double_divide ?10514 ?10515) ?10513 [10515, 10514, 10513] by Demod 4449 with 1549 at 1,2
% 49.23/12.63 Id : 5834, {_}: double_divide ?13232 (multiply (inverse ?13233) ?13234) =>= multiply (double_divide ?13232 ?13234) ?13233 [13234, 13233, 13232] by Demod 4526 with 4968 at 2
% 49.23/12.63 Id : 5837, {_}: double_divide ?13245 (multiply (double_divide ?13246 ?13247) ?13248) =>= multiply (double_divide ?13245 ?13248) (multiply ?13247 ?13246) [13248, 13247, 13246, 13245] by Super 5834 with 895 at 1,2,2
% 49.23/12.63 Id : 83552, {_}: multiply (double_divide ?17430 (double_divide ?17432 ?17433)) (multiply ?17431 ?17430) =>= multiply ?17431 (multiply ?17433 ?17432) [17431, 17433, 17432, 17430] by Demod 7784 with 5837 at 2
% 49.23/12.63 Id : 5475, {_}: multiply ?12566 (multiply ?12567 ?12568) =<= multiply (multiply ?12567 ?12566) ?12568 [12568, 12567, 12566] by Demod 5047 with 3 at 3
% 49.23/12.63 Id : 1645, {_}: double_divide (double_divide ?4699 ?4700) ?4701 =<= multiply (multiply ?4700 ?4699) (inverse ?4701) [4701, 4700, 4699] by Super 1641 with 3 at 1,3
% 49.23/12.63 Id : 5427, {_}: double_divide (double_divide ?4699 ?4700) ?4701 =<= multiply ?4699 (multiply ?4700 (inverse ?4701)) [4701, 4700, 4699] by Demod 1645 with 5112 at 3
% 49.23/12.63 Id : 5488, {_}: multiply (multiply ?12625 (inverse ?12626)) (multiply ?12627 ?12628) =>= multiply (double_divide (double_divide ?12627 ?12625) ?12626) ?12628 [12628, 12627, 12626, 12625] by Super 5475 with 5427 at 1,3
% 49.23/12.63 Id : 5527, {_}: multiply (inverse ?12626) (multiply ?12625 (multiply ?12627 ?12628)) =>= multiply (double_divide (double_divide ?12627 ?12625) ?12626) ?12628 [12628, 12627, 12625, 12626] by Demod 5488 with 5112 at 2
% 49.23/12.63 Id : 1586, {_}: double_divide ?4554 (double_divide ?4555 ?4556) =<= multiply (inverse ?4554) (multiply ?4556 ?4555) [4556, 4555, 4554] by Super 1583 with 895 at 2,2
% 49.23/12.63 Id : 5528, {_}: double_divide ?12626 (double_divide (multiply ?12627 ?12628) ?12625) =>= multiply (double_divide (double_divide ?12627 ?12625) ?12626) ?12628 [12625, 12628, 12627, 12626] by Demod 5527 with 1586 at 2
% 49.23/12.63 Id : 5529, {_}: double_divide ?12626 (double_divide ?12628 (multiply ?12627 ?12625)) =>= multiply (double_divide (double_divide ?12627 ?12625) ?12626) ?12628 [12625, 12627, 12628, 12626] by Demod 5528 with 4968 at 2,2
% 49.23/12.63 Id : 4903, {_}: multiply (double_divide ?11525 (double_divide ?11526 ?11527)) ?11528 =<= double_divide ?11525 (double_divide (multiply ?11527 ?11526) ?11528) [11528, 11527, 11526, 11525] by Super 4891 with 1647 at 2,3
% 49.23/12.63 Id : 12267, {_}: multiply (double_divide ?11525 (double_divide ?11526 ?11527)) ?11528 =<= double_divide ?11525 (double_divide ?11526 (multiply ?11527 ?11528)) [11528, 11527, 11526, 11525] by Demod 4903 with 4968 at 2,3
% 49.23/12.63 Id : 21609, {_}: multiply (double_divide ?12626 (double_divide ?12628 ?12627)) ?12625 =?= multiply (double_divide (double_divide ?12627 ?12625) ?12626) ?12628 [12625, 12627, 12628, 12626] by Demod 5529 with 12267 at 2
% 49.23/12.63 Id : 5065, {_}: double_divide (multiply ?11804 ?11805) ?11806 =>= double_divide ?11805 (multiply ?11804 ?11806) [11806, 11805, 11804] by Demod 4893 with 1647 at 2
% 49.23/12.63 Id : 5008, {_}: double_divide ?4707 (multiply ?4706 ?4708) =<= multiply (double_divide ?4707 ?4706) (inverse ?4708) [4708, 4706, 4707] by Demod 1647 with 4968 at 2
% 49.23/12.63 Id : 5084, {_}: double_divide (double_divide ?11892 (multiply ?11893 ?11894)) ?11895 =<= double_divide (inverse ?11894) (multiply (double_divide ?11892 ?11893) ?11895) [11895, 11894, 11893, 11892] by Super 5065 with 5008 at 1,2
% 49.23/12.63 Id : 1646, {_}: double_divide (inverse ?4703) ?4704 =>= multiply ?4703 (inverse ?4704) [4704, 4703] by Super 1641 with 832 at 1,3
% 49.23/12.63 Id : 5162, {_}: double_divide (double_divide ?11892 (multiply ?11893 ?11894)) ?11895 =<= multiply ?11894 (inverse (multiply (double_divide ?11892 ?11893) ?11895)) [11895, 11894, 11893, 11892] by Demod 5084 with 1646 at 3
% 49.23/12.63 Id : 5163, {_}: double_divide (double_divide ?11892 (multiply ?11893 ?11894)) ?11895 =>= multiply ?11894 (double_divide ?11895 (double_divide ?11892 ?11893)) [11895, 11894, 11893, 11892] by Demod 5162 with 895 at 2,3
% 49.23/12.63 Id : 4450, {_}: double_divide (double_divide ?10517 (multiply ?10518 ?10519)) ?10520 =>= multiply (double_divide (double_divide ?10519 ?10518) ?10520) ?10517 [10520, 10519, 10518, 10517] by Super 4439 with 1645 at 1,3
% 49.23/12.63 Id : 17627, {_}: multiply (double_divide (double_divide ?11894 ?11893) ?11895) ?11892 =>= multiply ?11894 (double_divide ?11895 (double_divide ?11892 ?11893)) [11892, 11895, 11893, 11894] by Demod 5163 with 4450 at 2
% 49.23/12.63 Id : 21610, {_}: multiply (double_divide ?12626 (double_divide ?12628 ?12627)) ?12625 =>= multiply ?12627 (double_divide ?12626 (double_divide ?12628 ?12625)) [12625, 12627, 12628, 12626] by Demod 21609 with 17627 at 3
% 49.23/12.63 Id : 83553, {_}: multiply ?17433 (double_divide ?17430 (double_divide ?17432 (multiply ?17431 ?17430))) =>= multiply ?17431 (multiply ?17433 ?17432) [17431, 17432, 17430, 17433] by Demod 83552 with 21610 at 2
% 49.23/12.63 Id : 21611, {_}: multiply ?11527 (double_divide ?11525 (double_divide ?11526 ?11528)) =<= double_divide ?11525 (double_divide ?11526 (multiply ?11527 ?11528)) [11528, 11526, 11525, 11527] by Demod 12267 with 21610 at 2
% 49.23/12.63 Id : 83554, {_}: multiply ?17433 (multiply ?17431 (double_divide ?17430 (double_divide ?17432 ?17430))) =>= multiply ?17431 (multiply ?17433 ?17432) [17432, 17430, 17431, 17433] by Demod 83553 with 21611 at 2,2
% 49.23/12.63 Id : 83555, {_}: multiply ?17433 (multiply ?17431 ?17432) =?= multiply ?17431 (multiply ?17433 ?17432) [17432, 17431, 17433] by Demod 83554 with 1610 at 2,2,2
% 49.23/12.63 Id : 84667, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 7280 with 83555 at 2
% 49.23/12.63 Id : 7280, {_}: multiply b3 (multiply a3 c3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 5112 at 2
% 49.23/12.63 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 49.23/12.63 % SZS output end CNFRefutation for theBenchmark.p
% 49.23/12.63 901: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 12.293118 using kbo
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