TSTP Solution File: BOO067-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : 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 14 23:44:19 EDT 2022
% Result : Unsatisfiable 62.04s 15.85s
% Output : CNFRefutation 62.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : BOO067-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n020.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
% 0.12/0.33 % DateTime : Wed Jun 1 16:26:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 17661: Facts:
% 0.12/0.33 17661: Id : 2, {_}:
% 0.12/0.33 multiply (multiply ?2 (inverse ?2) ?3)
% 0.12/0.33 (inverse (multiply (multiply ?4 ?5 ?6) ?7 (multiply ?4 ?5 ?8)))
% 0.12/0.33 (multiply ?5 (multiply ?8 ?7 ?6) ?4)
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
% 0.12/0.33 17661: Goal:
% 0.12/0.33 17661: Id : 1, {_}:
% 0.12/0.33 multiply (multiply d e a) b (multiply d e c)
% 0.12/0.33 =>=
% 0.12/0.33 multiply d e (multiply a b c)
% 0.12/0.33 [] by prove_tba_axioms_1
% 62.04/15.85 Statistics :
% 62.04/15.85 Max weight : 63
% 62.04/15.85 Found proof, 15.520136s
% 62.04/15.85 % SZS status Unsatisfiable for theBenchmark.p
% 62.04/15.85 % SZS output start CNFRefutation for theBenchmark.p
% 62.04/15.85 Id : 3, {_}: multiply (multiply ?10 (inverse ?10) ?11) (inverse (multiply (multiply ?12 ?13 ?14) ?15 (multiply ?12 ?13 ?16))) (multiply ?13 (multiply ?16 ?15 ?14) ?12) =>= ?11 [16, 15, 14, 13, 12, 11, 10] by single_axiom ?10 ?11 ?12 ?13 ?14 ?15 ?16
% 62.04/15.85 Id : 2, {_}: multiply (multiply ?2 (inverse ?2) ?3) (inverse (multiply (multiply ?4 ?5 ?6) ?7 (multiply ?4 ?5 ?8))) (multiply ?5 (multiply ?8 ?7 ?6) ?4) =>= ?3 [8, 7, 6, 5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5 ?6 ?7 ?8
% 62.04/15.85 Id : 7, {_}: multiply (multiply ?54 ?55 ?56) (inverse (multiply (multiply ?57 ?58 ?59) ?60 (multiply ?57 ?58 ?61))) (multiply ?58 (multiply ?61 ?60 ?59) ?57) =?= multiply ?55 (multiply ?56 (inverse (multiply ?54 ?55 ?62)) ?62) ?54 [62, 61, 60, 59, 58, 57, 56, 55, 54] by Super 3 with 2 at 1,2
% 62.04/15.85 Id : 19, {_}: multiply (inverse ?198) (multiply ?199 (inverse (multiply ?198 (inverse ?198) ?200)) ?200) ?198 =>= ?199 [200, 199, 198] by Super 2 with 7 at 2
% 62.04/15.85 Id : 53, {_}: multiply (multiply ?501 (inverse ?501) ?502) (inverse (multiply (multiply ?503 (inverse ?503) ?504) (inverse (multiply ?503 (inverse ?503) ?504)) (multiply ?503 (inverse ?503) ?505))) ?505 =>= ?502 [505, 504, 503, 502, 501] by Super 2 with 19 at 3,2
% 62.04/15.85 Id : 30, {_}: multiply (multiply ?340 (inverse ?340) ?341) (inverse (multiply (multiply ?342 (inverse ?342) ?343) (inverse (multiply ?342 (inverse ?342) ?343)) (multiply ?342 (inverse ?342) ?344))) ?344 =>= ?341 [344, 343, 342, 341, 340] by Super 2 with 19 at 3,2
% 62.04/15.85 Id : 87, {_}: multiply (multiply ?724 (inverse ?724) ?725) (inverse (multiply ?726 (inverse ?726) (multiply (multiply ?726 (inverse ?726) ?727) (inverse (multiply ?726 (inverse ?726) ?727)) ?728))) ?728 =>= ?725 [728, 727, 726, 725, 724] by Super 53 with 30 at 1,2,2
% 62.04/15.85 Id : 100, {_}: multiply (multiply ?821 ?822 ?823) (inverse (multiply ?824 (inverse ?824) (multiply (multiply ?824 (inverse ?824) ?825) (inverse (multiply ?824 (inverse ?824) ?825)) ?826))) ?826 =?= multiply ?822 (multiply ?823 (inverse (multiply ?821 ?822 ?827)) ?827) ?821 [827, 826, 825, 824, 823, 822, 821] by Super 87 with 2 at 1,2
% 62.04/15.85 Id : 29, {_}: multiply (multiply ?332 (inverse ?332) ?333) (inverse (multiply (multiply ?334 ?335 ?336) (multiply ?337 (inverse (multiply ?336 (inverse ?336) ?338)) ?338) (multiply ?334 ?335 (inverse ?336)))) (multiply ?335 ?337 ?334) =>= ?333 [338, 337, 336, 335, 334, 333, 332] by Super 2 with 19 at 2,3,2
% 62.04/15.85 Id : 376, {_}: multiply (multiply ?2952 (inverse ?2952) ?2953) (inverse ?2954) (multiply (inverse ?2955) (multiply ?2956 (inverse (multiply (multiply ?2956 ?2955 ?2957) (multiply (inverse ?2955) (inverse (multiply ?2957 (inverse ?2957) ?2958)) ?2958) (multiply ?2956 ?2955 (inverse ?2957)))) ?2954) ?2955) =>= ?2953 [2958, 2957, 2956, 2955, 2954, 2953, 2952] by Super 2 with 29 at 1,2,2
% 62.04/15.85 Id : 406, {_}: multiply (multiply ?3280 (inverse ?3280) ?3281) (inverse (multiply ?3282 (inverse ?3282) (multiply ?3283 (inverse ?3283) ?3284))) (multiply (inverse ?3282) ?3284 ?3282) =>= ?3281 [3284, 3283, 3282, 3281, 3280] by Super 376 with 29 at 2,3,2
% 62.04/15.85 Id : 130, {_}: multiply (multiply ?938 (inverse ?938) ?939) (inverse ?940) (multiply (inverse ?941) (multiply ?942 (inverse (multiply (multiply ?942 ?941 ?943) (multiply (inverse ?941) (inverse (multiply ?943 (inverse ?943) ?944)) ?944) (multiply ?942 ?941 (inverse ?943)))) ?940) ?941) =>= ?939 [944, 943, 942, 941, 940, 939, 938] by Super 2 with 29 at 1,2,2
% 62.04/15.85 Id : 457, {_}: multiply (multiply ?3597 (inverse ?3597) ?3598) (inverse ?3599) (multiply (inverse ?3600) (multiply ?3601 (inverse (multiply (multiply ?3601 ?3600 ?3602) (multiply (inverse ?3600) (inverse (multiply ?3602 (inverse ?3602) ?3603)) ?3603) (multiply ?3601 ?3600 (inverse ?3602)))) ?3599) ?3600) =?= multiply (inverse ?3604) ?3598 ?3604 [3604, 3603, 3602, 3601, 3600, 3599, 3598, 3597] by Super 130 with 406 at 1,2
% 62.04/15.85 Id : 485, {_}: ?3598 =<= multiply (inverse ?3604) ?3598 ?3604 [3604, 3598] by Demod 457 with 130 at 2
% 62.04/15.85 Id : 513, {_}: multiply (multiply ?3280 (inverse ?3280) ?3281) (inverse (multiply ?3282 (inverse ?3282) (multiply ?3283 (inverse ?3283) ?3284))) ?3284 =>= ?3281 [3284, 3283, 3282, 3281, 3280] by Demod 406 with 485 at 3,2
% 62.04/15.85 Id : 514, {_}: multiply ?199 (inverse (multiply ?198 (inverse ?198) ?200)) ?200 =>= ?199 [200, 198, 199] by Demod 19 with 485 at 2
% 62.04/15.85 Id : 550, {_}: multiply ?4028 (inverse (inverse (inverse ?4029))) ?4029 =>= ?4028 [4029, 4028] by Super 514 with 485 at 1,2,2
% 62.04/15.85 Id : 633, {_}: inverse (inverse (inverse ?4236)) =>= inverse ?4236 [4236] by Super 485 with 550 at 3
% 62.04/15.85 Id : 651, {_}: ?4320 =<= multiply (inverse ?4321) ?4320 (inverse (inverse ?4321)) [4321, 4320] by Super 485 with 633 at 1,3
% 62.04/15.85 Id : 729, {_}: multiply (multiply ?4713 (inverse ?4713) ?4714) (inverse (multiply ?4715 (inverse ?4715) (inverse (inverse ?4716)))) (inverse (inverse ?4716)) =>= ?4714 [4716, 4715, 4714, 4713] by Super 513 with 651 at 3,1,2,2
% 62.04/15.85 Id : 743, {_}: multiply ?4713 (inverse ?4713) ?4714 =>= ?4714 [4714, 4713] by Demod 729 with 514 at 2
% 62.04/15.85 Id : 760, {_}: multiply (multiply ?821 ?822 ?823) (inverse (multiply (multiply ?824 (inverse ?824) ?825) (inverse (multiply ?824 (inverse ?824) ?825)) ?826)) ?826 =?= multiply ?822 (multiply ?823 (inverse (multiply ?821 ?822 ?827)) ?827) ?821 [827, 826, 825, 824, 823, 822, 821] by Demod 100 with 743 at 1,2,2
% 62.04/15.85 Id : 761, {_}: multiply (multiply ?821 ?822 ?823) (inverse ?826) ?826 =?= multiply ?822 (multiply ?823 (inverse (multiply ?821 ?822 ?827)) ?827) ?821 [827, 826, 823, 822, 821] by Demod 760 with 743 at 1,2,2
% 62.04/15.85 Id : 638, {_}: multiply ?4028 (inverse ?4029) ?4029 =>= ?4028 [4029, 4028] by Demod 550 with 633 at 2,2
% 62.04/15.86 Id : 767, {_}: multiply ?821 ?822 ?823 =<= multiply ?822 (multiply ?823 (inverse (multiply ?821 ?822 ?827)) ?827) ?821 [827, 823, 822, 821] by Demod 761 with 638 at 2
% 62.04/15.86 Id : 964, {_}: multiply ?5270 ?5271 (multiply ?5270 ?5271 ?5272) =>= multiply ?5271 ?5272 ?5270 [5272, 5271, 5270] by Super 767 with 743 at 2,3
% 62.04/15.86 Id : 783, {_}: inverse (inverse ?4813) =>= ?4813 [4813] by Super 485 with 743 at 3
% 62.04/15.86 Id : 823, {_}: multiply ?4890 ?4891 (inverse ?4891) =>= ?4890 [4891, 4890] by Super 638 with 783 at 2,2
% 62.04/15.86 Id : 971, {_}: multiply ?5303 ?5304 ?5303 =?= multiply ?5304 (inverse ?5304) ?5303 [5304, 5303] by Super 964 with 823 at 3,2
% 62.04/15.86 Id : 988, {_}: multiply ?5303 ?5304 ?5303 =>= ?5303 [5304, 5303] by Demod 971 with 743 at 3
% 62.04/15.86 Id : 1010, {_}: multiply ?5381 ?5382 ?5383 =?= multiply ?5382 ?5383 ?5381 [5383, 5382, 5381] by Super 767 with 988 at 2,3
% 62.04/15.86 Id : 865, {_}: multiply ?5036 ?5037 ?5038 =<= multiply ?5037 (multiply ?5038 (inverse ?5036) (inverse ?5037)) ?5036 [5038, 5037, 5036] by Super 767 with 823 at 1,2,2,3
% 62.04/15.86 Id : 1493, {_}: multiply ?6360 ?6361 ?6362 =<= multiply ?6361 (multiply (inverse ?6361) ?6362 (inverse ?6360)) ?6360 [6362, 6361, 6360] by Super 865 with 1010 at 2,3
% 62.04/15.86 Id : 822, {_}: ?4887 =<= multiply ?4888 ?4887 (inverse ?4888) [4888, 4887] by Super 485 with 783 at 1,3
% 62.04/15.86 Id : 840, {_}: multiply ?4960 ?4961 ?4962 =<= multiply ?4961 (multiply ?4962 (inverse ?4961) (inverse ?4960)) ?4960 [4962, 4961, 4960] by Super 767 with 822 at 1,2,2,3
% 62.04/15.86 Id : 1547, {_}: multiply ?6620 ?6621 ?6622 =<= multiply ?6621 (multiply (inverse ?6620) ?6622 (inverse ?6621)) ?6620 [6622, 6621, 6620] by Super 840 with 1010 at 2,3
% 62.04/15.86 Id : 29278, {_}: multiply ?56674 ?56675 (multiply (inverse (inverse ?56674)) ?56676 (inverse (inverse ?56675))) =>= multiply ?56675 (multiply (inverse ?56674) (inverse ?56675) ?56676) ?56674 [56676, 56675, 56674] by Super 1493 with 1547 at 2,3
% 62.04/15.86 Id : 29612, {_}: multiply ?56674 ?56675 (multiply ?56674 ?56676 (inverse (inverse ?56675))) =?= multiply ?56675 (multiply (inverse ?56674) (inverse ?56675) ?56676) ?56674 [56676, 56675, 56674] by Demod 29278 with 783 at 1,3,2
% 62.04/15.86 Id : 29613, {_}: multiply ?56674 ?56675 (multiply ?56674 ?56676 ?56675) =<= multiply ?56675 (multiply (inverse ?56674) (inverse ?56675) ?56676) ?56674 [56676, 56675, 56674] by Demod 29612 with 783 at 3,3,2
% 62.04/15.86 Id : 1492, {_}: multiply ?6356 ?6357 ?6358 =<= multiply ?6357 (multiply (inverse ?6356) (inverse ?6357) ?6358) ?6356 [6358, 6357, 6356] by Super 865 with 1010 at 2,3
% 62.04/15.86 Id : 29614, {_}: multiply ?56674 ?56675 (multiply ?56674 ?56676 ?56675) =>= multiply ?56674 ?56675 ?56676 [56676, 56675, 56674] by Demod 29613 with 1492 at 3
% 62.04/15.86 Id : 1248, {_}: multiply ?5917 ?5918 ?5919 =<= multiply ?5918 (inverse (multiply ?5917 ?5918 (inverse ?5919))) ?5917 [5919, 5918, 5917] by Super 767 with 822 at 2,3
% 62.04/15.86 Id : 1249, {_}: multiply ?5921 ?5922 (inverse ?5923) =<= multiply ?5922 (inverse (multiply ?5921 ?5922 ?5923)) ?5921 [5923, 5922, 5921] by Super 1248 with 783 at 3,1,2,3
% 62.04/15.86 Id : 1550, {_}: multiply ?6632 ?6633 (inverse ?6634) =<= multiply ?6633 (inverse (multiply ?6633 ?6634 ?6632)) ?6632 [6634, 6633, 6632] by Super 1249 with 1010 at 1,2,3
% 62.04/15.86 Id : 2586, {_}: multiply ?8867 ?8868 ?8867 =<= multiply ?8868 (multiply ?8869 ?8867 (inverse ?8868)) ?8867 [8869, 8868, 8867] by Super 767 with 1550 at 2,3
% 62.04/15.86 Id : 3866, {_}: ?11455 =<= multiply ?11456 (multiply ?11457 ?11455 (inverse ?11456)) ?11455 [11457, 11456, 11455] by Demod 2586 with 988 at 2
% 62.04/15.86 Id : 3899, {_}: ?11576 =<= multiply (multiply ?11577 ?11576 (inverse ?11578)) ?11576 ?11578 [11578, 11577, 11576] by Super 3866 with 1010 at 3
% 62.04/15.86 Id : 6326, {_}: multiply ?16306 ?16307 (multiply ?16308 (inverse ?16307) (inverse (inverse ?16306))) =>= multiply ?16307 (inverse ?16307) ?16306 [16308, 16307, 16306] by Super 840 with 3899 at 2,3
% 62.04/15.86 Id : 6418, {_}: multiply ?16306 ?16307 (multiply ?16308 (inverse ?16307) ?16306) =>= multiply ?16307 (inverse ?16307) ?16306 [16308, 16307, 16306] by Demod 6326 with 783 at 3,3,2
% 62.04/15.86 Id : 9432, {_}: multiply ?22191 ?22192 (multiply ?22193 (inverse ?22192) ?22191) =>= ?22191 [22193, 22192, 22191] by Demod 6418 with 743 at 3
% 62.04/15.86 Id : 786, {_}: multiply ?4821 ?4822 (multiply ?4821 ?4822 ?4823) =>= multiply ?4822 ?4823 ?4821 [4823, 4822, 4821] by Super 767 with 743 at 2,3
% 62.04/15.86 Id : 1540, {_}: multiply ?6594 ?6595 (multiply ?6595 ?6596 ?6594) =>= multiply ?6595 ?6596 ?6594 [6596, 6595, 6594] by Super 786 with 1010 at 3,2
% 62.04/15.86 Id : 1656, {_}: multiply (multiply ?6887 ?6888 ?6889) ?6889 ?6887 =>= multiply ?6887 ?6888 ?6889 [6889, 6888, 6887] by Super 1010 with 1540 at 3
% 62.04/15.86 Id : 2031, {_}: multiply (multiply ?7705 ?7706 ?7707) ?7707 (inverse ?7705) =<= multiply ?7707 (inverse (multiply ?7705 ?7706 ?7707)) (multiply ?7705 ?7706 ?7707) [7707, 7706, 7705] by Super 1249 with 1656 at 1,2,3
% 62.04/15.86 Id : 2103, {_}: multiply (inverse ?7705) (multiply ?7705 ?7706 ?7707) ?7707 =<= multiply ?7707 (inverse (multiply ?7705 ?7706 ?7707)) (multiply ?7705 ?7706 ?7707) [7707, 7706, 7705] by Demod 2031 with 1010 at 2
% 62.04/15.86 Id : 2104, {_}: multiply (inverse ?7705) (multiply ?7705 ?7706 ?7707) ?7707 =>= ?7707 [7707, 7706, 7705] by Demod 2103 with 638 at 3
% 62.04/15.86 Id : 3179, {_}: multiply ?10104 (inverse ?10105) (multiply ?10105 ?10106 ?10104) =>= ?10104 [10106, 10105, 10104] by Super 1010 with 2104 at 3
% 62.04/15.86 Id : 9638, {_}: multiply (multiply ?22690 ?22691 ?22692) ?22690 ?22692 =>= multiply ?22690 ?22691 ?22692 [22692, 22691, 22690] by Super 9432 with 3179 at 3,2
% 62.04/15.86 Id : 9707, {_}: multiply ?22967 ?22968 (multiply ?22967 ?22969 ?22968) =>= multiply ?22967 ?22969 ?22968 [22969, 22968, 22967] by Super 9638 with 1010 at 2
% 62.04/15.86 Id : 29615, {_}: multiply ?56674 ?56676 ?56675 =?= multiply ?56674 ?56675 ?56676 [56675, 56676, 56674] by Demod 29614 with 9707 at 2
% 62.04/15.86 Id : 1546, {_}: multiply ?6616 ?6617 ?6618 =<= multiply ?6617 (multiply (inverse ?6617) (inverse ?6616) ?6618) ?6616 [6618, 6617, 6616] by Super 840 with 1010 at 2,3
% 62.04/15.86 Id : 28936, {_}: multiply ?56376 ?56377 (multiply (inverse (inverse ?56377)) (inverse (inverse ?56376)) ?56378) =>= multiply ?56377 (multiply (inverse ?56376) (inverse ?56377) ?56378) ?56376 [56378, 56377, 56376] by Super 1493 with 1546 at 2,3
% 62.04/15.86 Id : 29020, {_}: multiply ?56376 ?56377 (multiply ?56377 (inverse (inverse ?56376)) ?56378) =?= multiply ?56377 (multiply (inverse ?56376) (inverse ?56377) ?56378) ?56376 [56378, 56377, 56376] by Demod 28936 with 783 at 1,3,2
% 62.04/15.86 Id : 29021, {_}: multiply ?56376 ?56377 (multiply ?56377 ?56376 ?56378) =<= multiply ?56377 (multiply (inverse ?56376) (inverse ?56377) ?56378) ?56376 [56378, 56377, 56376] by Demod 29020 with 783 at 2,3,2
% 62.04/15.86 Id : 29022, {_}: multiply ?56376 ?56377 (multiply ?56377 ?56376 ?56378) =>= multiply ?56376 ?56377 ?56378 [56378, 56377, 56376] by Demod 29021 with 1492 at 3
% 62.04/15.86 Id : 4399, {_}: multiply ?12502 (inverse ?12503) (multiply ?12503 ?12504 ?12502) =>= ?12502 [12504, 12503, 12502] by Super 1010 with 2104 at 3
% 62.04/15.86 Id : 4426, {_}: multiply ?12605 (inverse ?12606) (multiply ?12605 ?12606 ?12607) =>= ?12605 [12607, 12606, 12605] by Super 4399 with 767 at 3,2
% 62.04/15.86 Id : 10254, {_}: multiply (multiply ?23907 ?23908 ?23909) ?23908 ?23907 =>= multiply ?23907 ?23908 ?23909 [23909, 23908, 23907] by Super 9432 with 4426 at 3,2
% 62.04/15.86 Id : 10325, {_}: multiply ?24192 ?24193 (multiply ?24193 ?24192 ?24194) =>= multiply ?24193 ?24192 ?24194 [24194, 24193, 24192] by Super 10254 with 1010 at 2
% 62.04/15.86 Id : 29023, {_}: multiply ?56377 ?56376 ?56378 =?= multiply ?56376 ?56377 ?56378 [56378, 56376, 56377] by Demod 29022 with 10325 at 2
% 62.04/15.86 Id : 759, {_}: multiply ?3 (inverse (multiply (multiply ?4 ?5 ?6) ?7 (multiply ?4 ?5 ?8))) (multiply ?5 (multiply ?8 ?7 ?6) ?4) =>= ?3 [8, 7, 6, 5, 4, 3] by Demod 2 with 743 at 1,2
% 62.04/15.86 Id : 791, {_}: multiply ?4849 (multiply ?4850 ?4851 ?4852) ?4853 =<= multiply (multiply ?4853 ?4849 ?4852) ?4851 (multiply ?4853 ?4849 ?4850) [4853, 4852, 4851, 4850, 4849] by Super 759 with 743 at 2
% 62.04/15.86 Id : 180015, {_}: multiply ?277081 (multiply ?277082 ?277083 ?277084) (multiply ?277082 ?277083 ?277085) =>= multiply ?277083 (multiply ?277085 ?277081 ?277084) ?277082 [277085, 277084, 277083, 277082, 277081] by Super 29023 with 791 at 3
% 62.04/15.86 Id : 27707, {_}: multiply ?54346 ?54347 ?54348 =<= multiply ?54347 (multiply (inverse ?54347) ?54348 (inverse ?54346)) ?54346 [54348, 54347, 54346] by Super 865 with 1010 at 2,3
% 62.04/15.86 Id : 27749, {_}: multiply ?54506 ?54507 (multiply ?54508 (inverse (inverse ?54507)) (inverse (inverse ?54506))) =>= multiply ?54507 (multiply (inverse ?54506) (inverse ?54507) ?54508) ?54506 [54508, 54507, 54506] by Super 27707 with 840 at 2,3
% 62.04/15.86 Id : 27994, {_}: multiply ?54506 ?54507 (multiply ?54508 ?54507 (inverse (inverse ?54506))) =?= multiply ?54507 (multiply (inverse ?54506) (inverse ?54507) ?54508) ?54506 [54508, 54507, 54506] by Demod 27749 with 783 at 2,3,2
% 62.04/15.86 Id : 27995, {_}: multiply ?54506 ?54507 (multiply ?54508 ?54507 ?54506) =<= multiply ?54507 (multiply (inverse ?54506) (inverse ?54507) ?54508) ?54506 [54508, 54507, 54506] by Demod 27994 with 783 at 3,3,2
% 62.04/15.86 Id : 27996, {_}: multiply ?54506 ?54507 (multiply ?54508 ?54507 ?54506) =>= multiply ?54506 ?54507 ?54508 [54508, 54507, 54506] by Demod 27995 with 1492 at 3
% 62.04/15.86 Id : 4409, {_}: multiply ?12539 (inverse ?12540) (multiply ?12541 ?12539 ?12540) =>= ?12539 [12541, 12540, 12539] by Super 4399 with 1010 at 3,2
% 62.04/15.86 Id : 9944, {_}: multiply (multiply ?23291 ?23292 ?23293) ?23293 ?23292 =>= multiply ?23291 ?23292 ?23293 [23293, 23292, 23291] by Super 9432 with 4409 at 3,2
% 62.04/15.86 Id : 10014, {_}: multiply ?23572 ?23573 (multiply ?23574 ?23573 ?23572) =>= multiply ?23574 ?23573 ?23572 [23574, 23573, 23572] by Super 9944 with 1010 at 2
% 62.04/15.86 Id : 27997, {_}: multiply ?54508 ?54507 ?54506 =?= multiply ?54506 ?54507 ?54508 [54506, 54507, 54508] by Demod 27996 with 10014 at 2
% 62.04/15.86 Id : 218510, {_}: multiply d e (multiply a b c) === multiply d e (multiply a b c) [] by Demod 218509 with 29615 at 3,2
% 62.04/15.86 Id : 218509, {_}: multiply d e (multiply a c b) =>= multiply d e (multiply a b c) [] by Demod 218508 with 1010 at 3,2
% 62.04/15.86 Id : 218508, {_}: multiply d e (multiply b a c) =>= multiply d e (multiply a b c) [] by Demod 218507 with 1010 at 3,2
% 62.04/15.86 Id : 218507, {_}: multiply d e (multiply c b a) =>= multiply d e (multiply a b c) [] by Demod 218506 with 29615 at 2
% 62.04/15.86 Id : 218506, {_}: multiply d (multiply c b a) e =>= multiply d e (multiply a b c) [] by Demod 218505 with 27997 at 2
% 62.04/15.86 Id : 218505, {_}: multiply e (multiply c b a) d =>= multiply d e (multiply a b c) [] by Demod 218504 with 180015 at 2
% 62.04/15.86 Id : 218504, {_}: multiply b (multiply d e a) (multiply d e c) =>= multiply d e (multiply a b c) [] by Demod 218503 with 29615 at 2
% 62.04/15.86 Id : 218503, {_}: multiply b (multiply d e c) (multiply d e a) =>= multiply d e (multiply a b c) [] by Demod 1 with 1010 at 2
% 62.04/15.86 Id : 1, {_}: multiply (multiply d e a) b (multiply d e c) =>= multiply d e (multiply a b c) [] by prove_tba_axioms_1
% 62.04/15.86 % SZS output end CNFRefutation for theBenchmark.p
% 62.04/15.86 17664: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 15.525216 using nrkbo
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