TSTP Solution File: GRP425-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP425-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n017.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 10:30:14 EDT 2022
% Result : Unsatisfiable 8.47s 2.44s
% Output : CNFRefutation 8.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP425-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.34 % Computer : n017.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 : Tue Jun 14 03:25:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 13143: Facts:
% 0.13/0.35 13143: Id : 2, {_}:
% 0.13/0.35 multiply
% 0.13/0.35 (inverse
% 0.13/0.35 (multiply
% 0.13/0.35 (inverse (multiply ?2 (inverse (multiply (inverse ?3) ?4))))
% 0.13/0.35 (multiply ?2 (inverse ?4))))
% 0.13/0.35 (inverse (multiply (inverse ?4) ?4))
% 0.13/0.35 =>=
% 0.13/0.35 ?3
% 0.13/0.35 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.13/0.35 13143: Goal:
% 0.13/0.35 13143: Id : 1, {_}:
% 0.13/0.35 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.13/0.35 [] by prove_these_axioms_2
% 8.47/2.44 Statistics :
% 8.47/2.44 Max weight : 72
% 8.47/2.44 Found proof, 2.088551s
% 8.47/2.44 % SZS status Unsatisfiable for theBenchmark.p
% 8.47/2.44 % SZS output start CNFRefutation for theBenchmark.p
% 8.47/2.44 Id : 2, {_}: multiply (inverse (multiply (inverse (multiply ?2 (inverse (multiply (inverse ?3) ?4)))) (multiply ?2 (inverse ?4)))) (inverse (multiply (inverse ?4) ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 8.47/2.44 Id : 3, {_}: multiply (inverse (multiply (inverse (multiply ?6 (inverse (multiply (inverse ?7) ?8)))) (multiply ?6 (inverse ?8)))) (inverse (multiply (inverse ?8) ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 8.47/2.44 Id : 4, {_}: multiply (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?10 (inverse (multiply (inverse ?11) ?12)))) (multiply ?10 (inverse ?12)))) (inverse (multiply (inverse ?13) (multiply (inverse ?12) ?12))))) ?11)) (inverse (multiply (inverse (multiply (inverse ?12) ?12)) (multiply (inverse ?12) ?12))) =>= ?13 [13, 12, 11, 10] by Super 3 with 2 at 2,1,1,2
% 8.47/2.44 Id : 5, {_}: multiply (inverse (multiply (inverse (multiply ?15 (inverse ?16))) (multiply ?15 (inverse (inverse (multiply (inverse ?17) ?17)))))) (inverse (multiply (inverse (inverse (multiply (inverse ?17) ?17))) (inverse (multiply (inverse ?17) ?17)))) =?= multiply (inverse (multiply ?18 (inverse (multiply (inverse ?16) ?17)))) (multiply ?18 (inverse ?17)) [18, 17, 16, 15] by Super 3 with 2 at 1,2,1,1,1,1,2
% 8.47/2.44 Id : 106, {_}: multiply (inverse (multiply ?503 (inverse (multiply (inverse (multiply (inverse ?504) (inverse (multiply (inverse ?505) ?505)))) ?505)))) (multiply ?503 (inverse ?505)) =>= ?504 [505, 504, 503] by Super 2 with 5 at 2
% 8.47/2.44 Id : 162, {_}: multiply (inverse (multiply (inverse (multiply ?822 (inverse ?823))) (multiply ?822 (inverse (multiply ?824 (inverse ?825)))))) (inverse (multiply (inverse (multiply ?824 (inverse ?825))) (multiply ?824 (inverse ?825)))) =>= multiply ?824 (inverse (multiply (inverse (multiply (inverse ?823) (inverse (multiply (inverse ?825) ?825)))) ?825)) [825, 824, 823, 822] by Super 2 with 106 at 1,2,1,1,1,1,2
% 8.47/2.44 Id : 212, {_}: multiply ?1046 (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?1047) (multiply ?1046 (inverse ?1048)))) (inverse (multiply (inverse ?1048) ?1048)))) ?1048)) =>= ?1047 [1048, 1047, 1046] by Super 2 with 162 at 2
% 8.47/2.44 Id : 220, {_}: multiply (inverse (multiply ?1090 (inverse (multiply (inverse (multiply ?1091 (inverse (multiply (inverse (multiply (inverse ?1092) (inverse (multiply (inverse ?1093) ?1093)))) ?1093)))) (multiply ?1091 (inverse ?1093)))))) (multiply ?1090 (inverse (multiply ?1091 (inverse ?1093)))) =?= multiply (inverse (multiply ?1094 (inverse ?1092))) (multiply ?1094 (inverse (multiply ?1091 (inverse ?1093)))) [1094, 1093, 1092, 1091, 1090] by Super 106 with 162 at 1,1,1,2,1,1,2
% 8.47/2.44 Id : 576, {_}: multiply (inverse (multiply ?2590 (inverse ?2591))) (multiply ?2590 (inverse (multiply ?2592 (inverse ?2593)))) =?= multiply (inverse (multiply ?2594 (inverse ?2591))) (multiply ?2594 (inverse (multiply ?2592 (inverse ?2593)))) [2594, 2593, 2592, 2591, 2590] by Demod 220 with 106 at 1,2,1,1,2
% 8.47/2.44 Id : 577, {_}: multiply (inverse (multiply ?2596 (inverse ?2597))) (multiply ?2596 (inverse (multiply (inverse (multiply (inverse (multiply ?2598 (inverse (multiply (inverse ?2599) ?2600)))) (multiply ?2598 (inverse ?2600)))) (inverse (multiply (inverse ?2600) ?2600))))) =?= multiply (inverse (multiply ?2601 (inverse ?2597))) (multiply ?2601 (inverse ?2599)) [2601, 2600, 2599, 2598, 2597, 2596] by Super 576 with 2 at 1,2,2,3
% 8.47/2.44 Id : 657, {_}: multiply (inverse (multiply ?2596 (inverse ?2597))) (multiply ?2596 (inverse ?2599)) =?= multiply (inverse (multiply ?2601 (inverse ?2597))) (multiply ?2601 (inverse ?2599)) [2601, 2599, 2597, 2596] by Demod 577 with 2 at 1,2,2,2
% 8.47/2.44 Id : 731, {_}: multiply ?3306 (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?3307 (inverse ?3308))) (multiply ?3307 (inverse ?3309)))) (inverse (multiply (inverse ?3309) ?3309)))) ?3309)) =>= multiply ?3306 (inverse ?3308) [3309, 3308, 3307, 3306] by Super 212 with 657 at 1,1,1,1,1,2,2
% 8.47/2.44 Id : 723, {_}: multiply (inverse (multiply ?3264 (inverse (multiply (inverse (multiply (inverse ?3265) (inverse (multiply (inverse (multiply ?3266 (inverse ?3267))) (multiply ?3266 (inverse ?3267)))))) (multiply ?3268 (inverse ?3267)))))) (multiply ?3264 (inverse (multiply ?3268 (inverse ?3267)))) =>= ?3265 [3268, 3267, 3266, 3265, 3264] by Super 106 with 657 at 1,2,1,1,1,2,1,1,2
% 8.47/2.44 Id : 1350, {_}: multiply (inverse ?6102) (inverse (multiply (inverse (multiply ?6103 (inverse ?6104))) (multiply ?6103 (inverse ?6104)))) =?= multiply (inverse ?6102) (inverse (multiply (inverse (multiply ?6105 (inverse ?6104))) (multiply ?6105 (inverse ?6104)))) [6105, 6104, 6103, 6102] by Super 2 with 723 at 1,1,2
% 8.47/2.44 Id : 6, {_}: multiply (inverse (multiply (inverse ?20) (multiply (inverse (multiply (inverse (multiply ?21 (inverse (multiply (inverse ?20) ?22)))) (multiply ?21 (inverse ?22)))) (inverse ?22)))) (inverse (multiply (inverse ?22) ?22)) =>= ?22 [22, 21, 20] by Super 3 with 2 at 1,1,1,1,2
% 8.47/2.44 Id : 1354, {_}: multiply (inverse ?6127) (inverse (multiply (inverse (multiply ?6128 (inverse (multiply (inverse ?6129) ?6129)))) (multiply ?6128 (inverse (multiply (inverse ?6129) ?6129))))) =?= multiply (inverse ?6127) (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?6130) (multiply (inverse (multiply (inverse (multiply ?6131 (inverse (multiply (inverse ?6130) ?6129)))) (multiply ?6131 (inverse ?6129)))) (inverse ?6129)))) (inverse (multiply (inverse ?6129) ?6129)))) ?6129)) [6131, 6130, 6129, 6128, 6127] by Super 1350 with 6 at 2,1,2,3
% 8.47/2.44 Id : 1557, {_}: multiply (inverse ?6913) (inverse (multiply (inverse (multiply ?6914 (inverse (multiply (inverse ?6915) ?6915)))) (multiply ?6914 (inverse (multiply (inverse ?6915) ?6915))))) =>= multiply (inverse ?6913) (inverse (multiply (inverse ?6915) ?6915)) [6915, 6914, 6913] by Demod 1354 with 6 at 1,1,1,2,3
% 8.47/2.44 Id : 1564, {_}: multiply (inverse ?6952) (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?6953 (inverse (multiply (inverse ?6954) ?6955)))) (multiply ?6953 (inverse ?6955)))) (inverse (multiply (inverse ?6955) ?6955)))) ?6954)) =>= multiply (inverse ?6952) (inverse (multiply (inverse ?6955) ?6955)) [6955, 6954, 6953, 6952] by Super 1557 with 2 at 2,1,2,2
% 8.47/2.44 Id : 1696, {_}: multiply (inverse ?6952) (inverse (multiply (inverse ?6954) ?6954)) =?= multiply (inverse ?6952) (inverse (multiply (inverse ?6955) ?6955)) [6955, 6954, 6952] by Demod 1564 with 2 at 1,1,1,2,2
% 8.47/2.44 Id : 1844, {_}: multiply ?7804 (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?7805) (inverse (multiply (inverse ?7806) ?7806)))) (multiply (inverse ?7805) (inverse ?7807)))) (inverse (multiply (inverse ?7807) ?7807)))) ?7807)) =?= multiply ?7804 (inverse (multiply (inverse ?7808) ?7808)) [7808, 7807, 7806, 7805, 7804] by Super 731 with 1696 at 1,1,1,1,1,1,1,2,2
% 8.47/2.44 Id : 1891, {_}: multiply ?7804 (inverse (multiply (inverse ?7806) ?7806)) =?= multiply ?7804 (inverse (multiply (inverse ?7808) ?7808)) [7808, 7806, 7804] by Demod 1844 with 731 at 2
% 8.47/2.44 Id : 1862, {_}: multiply (inverse ?7920) (inverse (multiply (inverse ?7921) ?7921)) =?= multiply (inverse ?7920) (inverse (multiply (inverse ?7922) ?7922)) [7922, 7921, 7920] by Demod 1564 with 2 at 1,1,1,2,2
% 8.47/2.44 Id : 1868, {_}: multiply (inverse (multiply (inverse (multiply ?7950 (inverse (multiply (inverse ?7951) ?7952)))) (multiply ?7950 (inverse ?7952)))) (inverse (multiply (inverse ?7953) ?7953)) =>= ?7951 [7953, 7952, 7951, 7950] by Super 1862 with 2 at 3
% 8.47/2.44 Id : 2088, {_}: multiply (inverse (multiply (inverse ?9119) ?9119)) (inverse (multiply (inverse (multiply (inverse ?9120) ?9120)) (multiply (inverse ?9120) ?9120))) =>= multiply (inverse ?9120) ?9120 [9120, 9119] by Super 4 with 1868 at 1,1,1,1,2
% 8.47/2.44 Id : 2187, {_}: multiply (inverse (multiply (inverse ?9598) ?9598)) (inverse (multiply (inverse ?9599) ?9599)) =?= multiply (inverse ?9600) ?9600 [9600, 9599, 9598] by Super 1891 with 2088 at 3
% 8.47/2.44 Id : 2350, {_}: multiply ?10372 (inverse (multiply (inverse (multiply (inverse ?10373) ?10373)) ?10374)) =>= multiply ?10372 (inverse ?10374) [10374, 10373, 10372] by Super 212 with 2187 at 1,1,1,2,2
% 8.47/2.44 Id : 2392, {_}: multiply (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?10 (inverse (multiply (inverse ?11) ?12)))) (multiply ?10 (inverse ?12)))) (inverse (multiply (inverse ?13) (multiply (inverse ?12) ?12))))) ?11)) (inverse (multiply (inverse ?12) ?12)) =>= ?13 [13, 12, 11, 10] by Demod 4 with 2350 at 2
% 8.47/2.44 Id : 2449, {_}: multiply (inverse (multiply ?10910 (inverse ?10911))) (multiply ?10910 (inverse ?10911)) =>= inverse (multiply (inverse ?10911) ?10911) [10911, 10910] by Super 106 with 2350 at 1,1,2
% 8.47/2.44 Id : 2626, {_}: multiply ?11304 (inverse (inverse (multiply (inverse ?11305) ?11305))) =<= multiply ?11304 (inverse (multiply (inverse (inverse ?11305)) (inverse ?11305))) [11305, 11304] by Super 2350 with 2449 at 1,2,2
% 8.47/2.44 Id : 2628, {_}: multiply (inverse (multiply ?11313 (inverse ?11314))) (multiply ?11313 (inverse ?11314)) =>= inverse (multiply (inverse ?11314) ?11314) [11314, 11313] by Super 106 with 2350 at 1,1,2
% 8.47/2.44 Id : 2630, {_}: multiply (inverse (multiply (inverse (multiply (inverse ?11321) (multiply (inverse (multiply (inverse (multiply ?11322 (inverse (multiply (inverse ?11321) ?11323)))) (multiply ?11322 (inverse ?11323)))) (inverse ?11323)))) (inverse (multiply (inverse ?11323) ?11323)))) ?11323 =>= inverse (multiply (inverse (multiply (inverse ?11323) ?11323)) (multiply (inverse ?11323) ?11323)) [11323, 11322, 11321] by Super 2628 with 6 at 2,2
% 8.47/2.44 Id : 3917, {_}: multiply (inverse ?13893) ?13893 =<= inverse (multiply (inverse (multiply (inverse ?13893) ?13893)) (multiply (inverse ?13893) ?13893)) [13893] by Demod 2630 with 6 at 1,1,2
% 8.47/2.44 Id : 3948, {_}: multiply (inverse (inverse ?13984)) (inverse ?13984) =>= inverse (inverse (multiply (inverse ?13984) ?13984)) [13984] by Super 3917 with 2449 at 1,3
% 8.47/2.44 Id : 4184, {_}: multiply ?11304 (inverse (inverse (multiply (inverse ?11305) ?11305))) =<= multiply ?11304 (inverse (inverse (inverse (multiply (inverse ?11305) ?11305)))) [11305, 11304] by Demod 2626 with 3948 at 1,2,3
% 8.47/2.44 Id : 4248, {_}: multiply (inverse (multiply (inverse (inverse ?14217)) (inverse ?14217))) (inverse (inverse (multiply (inverse ?14217) ?14217))) =>= inverse (multiply (inverse ?14217) ?14217) [14217] by Super 2449 with 3948 at 2,2
% 8.47/2.44 Id : 4302, {_}: multiply (inverse (inverse (inverse (multiply (inverse ?14217) ?14217)))) (inverse (inverse (multiply (inverse ?14217) ?14217))) =>= inverse (multiply (inverse ?14217) ?14217) [14217] by Demod 4248 with 3948 at 1,1,2
% 8.47/2.44 Id : 4303, {_}: inverse (inverse (multiply (inverse (inverse (multiply (inverse ?14217) ?14217))) (inverse (multiply (inverse ?14217) ?14217)))) =>= inverse (multiply (inverse ?14217) ?14217) [14217] by Demod 4302 with 3948 at 2
% 8.47/2.44 Id : 4304, {_}: inverse (inverse (inverse (inverse (multiply (inverse (multiply (inverse ?14217) ?14217)) (multiply (inverse ?14217) ?14217))))) =>= inverse (multiply (inverse ?14217) ?14217) [14217] by Demod 4303 with 3948 at 1,1,2
% 8.47/2.44 Id : 2684, {_}: multiply (inverse ?11323) ?11323 =<= inverse (multiply (inverse (multiply (inverse ?11323) ?11323)) (multiply (inverse ?11323) ?11323)) [11323] by Demod 2630 with 6 at 1,1,2
% 8.47/2.44 Id : 4305, {_}: inverse (inverse (inverse (multiply (inverse ?14217) ?14217))) =>= inverse (multiply (inverse ?14217) ?14217) [14217] by Demod 4304 with 2684 at 1,1,1,2
% 8.47/2.44 Id : 4397, {_}: multiply ?11304 (inverse (inverse (multiply (inverse ?11305) ?11305))) =>= multiply ?11304 (inverse (multiply (inverse ?11305) ?11305)) [11305, 11304] by Demod 4184 with 4305 at 2,3
% 8.47/2.44 Id : 4460, {_}: multiply (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?14532 (inverse (multiply (inverse ?14533) ?14534)))) (multiply ?14532 (inverse ?14534)))) (inverse (multiply (inverse (multiply (inverse ?14535) ?14535)) (multiply (inverse ?14534) ?14534))))) ?14533)) (inverse (multiply (inverse ?14534) ?14534)) =>= inverse (inverse (multiply (inverse ?14535) ?14535)) [14535, 14534, 14533, 14532] by Super 2392 with 4305 at 1,1,2,1,1,1,1,2
% 8.47/2.44 Id : 4552, {_}: multiply (inverse ?14535) ?14535 =<= inverse (inverse (multiply (inverse ?14535) ?14535)) [14535] by Demod 4460 with 2392 at 2
% 8.47/2.44 Id : 4864, {_}: multiply ?11304 (multiply (inverse ?11305) ?11305) =<= multiply ?11304 (inverse (multiply (inverse ?11305) ?11305)) [11305, 11304] by Demod 4397 with 4552 at 2,2
% 8.47/2.44 Id : 4867, {_}: multiply (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?10 (inverse (multiply (inverse ?11) ?12)))) (multiply ?10 (inverse ?12)))) (inverse (multiply (inverse ?13) (multiply (inverse ?12) ?12))))) ?11)) (multiply (inverse ?12) ?12) =>= ?13 [13, 12, 11, 10] by Demod 2392 with 4864 at 2
% 8.47/2.44 Id : 2625, {_}: multiply ?11300 (inverse (multiply (inverse (inverse (multiply (inverse ?11301) ?11301))) ?11302)) =>= multiply ?11300 (inverse ?11302) [11302, 11301, 11300] by Super 2350 with 2449 at 1,1,1,2,2
% 8.47/2.44 Id : 4862, {_}: multiply ?11300 (inverse (multiply (multiply (inverse ?11301) ?11301) ?11302)) =>= multiply ?11300 (inverse ?11302) [11302, 11301, 11300] by Demod 2625 with 4552 at 1,1,2,2
% 8.47/2.44 Id : 4874, {_}: multiply ?1046 (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?1047) (multiply ?1046 (inverse ?1048)))) (multiply (inverse ?1048) ?1048))) ?1048)) =>= ?1047 [1048, 1047, 1046] by Demod 212 with 4864 at 1,1,1,2,2
% 8.47/2.44 Id : 4869, {_}: multiply (inverse (multiply (inverse (multiply ?7950 (inverse (multiply (inverse ?7951) ?7952)))) (multiply ?7950 (inverse ?7952)))) (multiply (inverse ?7953) ?7953) =>= ?7951 [7953, 7952, 7951, 7950] by Demod 1868 with 4864 at 2
% 8.47/2.44 Id : 2470, {_}: multiply ?11023 (inverse (multiply (inverse (multiply (inverse ?11024) ?11024)) ?11025)) =>= multiply ?11023 (inverse ?11025) [11025, 11024, 11023] by Super 212 with 2187 at 1,1,1,2,2
% 8.47/2.44 Id : 2487, {_}: multiply ?11107 (inverse (multiply (inverse (multiply (inverse ?11108) ?11108)) (inverse ?11109))) =?= multiply ?11107 (inverse (inverse (multiply (inverse (multiply (inverse ?11110) ?11110)) ?11109))) [11110, 11109, 11108, 11107] by Super 2470 with 2350 at 1,2,2
% 8.47/2.44 Id : 2588, {_}: multiply ?11107 (inverse (inverse ?11109)) =<= multiply ?11107 (inverse (inverse (multiply (inverse (multiply (inverse ?11110) ?11110)) ?11109))) [11110, 11109, 11107] by Demod 2487 with 2350 at 2
% 8.47/2.44 Id : 3822, {_}: multiply ?13499 (inverse (inverse ?13500)) =<= multiply ?13499 (inverse (inverse (multiply (multiply (inverse ?13501) ?13501) ?13500))) [13501, 13500, 13499] by Super 2588 with 2684 at 1,1,1,2,3
% 8.47/2.44 Id : 5263, {_}: multiply ?15293 (inverse (multiply (multiply (inverse ?15294) ?15294) (inverse (inverse ?15295)))) =?= multiply ?15293 (inverse (inverse (inverse (multiply (multiply (inverse ?15296) ?15296) ?15295)))) [15296, 15295, 15294, 15293] by Super 4862 with 3822 at 1,2,2
% 8.47/2.44 Id : 6211, {_}: multiply ?16459 (inverse (inverse (inverse ?16460))) =<= multiply ?16459 (inverse (inverse (inverse (multiply (multiply (inverse ?16461) ?16461) ?16460)))) [16461, 16460, 16459] by Demod 5263 with 4862 at 2
% 8.47/2.44 Id : 4873, {_}: multiply (inverse (multiply ?503 (inverse (multiply (inverse (multiply (inverse ?504) (multiply (inverse ?505) ?505))) ?505)))) (multiply ?503 (inverse ?505)) =>= ?504 [505, 504, 503] by Demod 106 with 4864 at 1,1,1,2,1,1,2
% 8.47/2.44 Id : 4863, {_}: multiply (inverse (inverse ?13984)) (inverse ?13984) =>= multiply (inverse ?13984) ?13984 [13984] by Demod 3948 with 4552 at 3
% 8.47/2.44 Id : 4949, {_}: multiply (multiply (inverse ?14913) ?14913) (inverse (multiply (inverse ?14913) ?14913)) =>= multiply (inverse (multiply (inverse ?14913) ?14913)) (multiply (inverse ?14913) ?14913) [14913] by Super 4863 with 4552 at 1,2
% 8.47/2.44 Id : 4972, {_}: multiply (multiply (inverse ?14913) ?14913) (multiply (inverse ?14913) ?14913) =<= multiply (inverse (multiply (inverse ?14913) ?14913)) (multiply (inverse ?14913) ?14913) [14913] by Demod 4949 with 4864 at 2
% 8.47/2.44 Id : 5462, {_}: multiply (inverse (multiply ?15482 (inverse (multiply (inverse (multiply (multiply (inverse ?15483) ?15483) (multiply (inverse ?15483) ?15483))) ?15483)))) (multiply ?15482 (inverse ?15483)) =>= multiply (inverse ?15483) ?15483 [15483, 15482] by Super 4873 with 4972 at 1,1,1,2,1,1,2
% 8.47/2.44 Id : 5449, {_}: multiply (inverse ?11323) ?11323 =<= inverse (multiply (multiply (inverse ?11323) ?11323) (multiply (inverse ?11323) ?11323)) [11323] by Demod 2684 with 4972 at 1,3
% 8.47/2.44 Id : 5615, {_}: multiply (inverse (multiply ?15482 (inverse (multiply (multiply (inverse ?15483) ?15483) ?15483)))) (multiply ?15482 (inverse ?15483)) =>= multiply (inverse ?15483) ?15483 [15483, 15482] by Demod 5462 with 5449 at 1,1,2,1,1,2
% 8.47/2.44 Id : 5616, {_}: multiply (inverse (multiply ?15482 (inverse ?15483))) (multiply ?15482 (inverse ?15483)) =>= multiply (inverse ?15483) ?15483 [15483, 15482] by Demod 5615 with 4862 at 1,1,2
% 8.47/2.44 Id : 5617, {_}: inverse (multiply (inverse ?15483) ?15483) =>= multiply (inverse ?15483) ?15483 [15483] by Demod 5616 with 2449 at 2
% 8.47/2.44 Id : 16172, {_}: multiply ?28282 (inverse (inverse (inverse ?28283))) =<= multiply ?28282 (inverse (inverse (inverse (multiply (multiply (multiply (inverse ?28284) ?28284) (multiply (inverse ?28284) ?28284)) ?28283)))) [28284, 28283, 28282] by Super 6211 with 5617 at 1,1,1,1,1,2,3
% 8.47/2.44 Id : 5201, {_}: multiply (inverse (inverse (inverse (multiply (multiply (inverse ?14966) ?14966) ?14967)))) (inverse (inverse ?14967)) =<= multiply (inverse (inverse (multiply (multiply (inverse ?14966) ?14966) ?14967))) (inverse (multiply (multiply (inverse ?14966) ?14966) ?14967)) [14967, 14966] by Super 4863 with 3822 at 2
% 8.47/2.44 Id : 5425, {_}: multiply (inverse (inverse (inverse (multiply (multiply (inverse ?14966) ?14966) ?14967)))) (inverse (inverse ?14967)) =>= multiply (inverse (inverse (multiply (multiply (inverse ?14966) ?14966) ?14967))) (inverse ?14967) [14967, 14966] by Demod 5201 with 4862 at 3
% 8.47/2.44 Id : 5824, {_}: multiply (inverse (multiply ?10910 (inverse ?10911))) (multiply ?10910 (inverse ?10911)) =>= multiply (inverse ?10911) ?10911 [10911, 10910] by Demod 2449 with 5617 at 3
% 8.47/2.44 Id : 5296, {_}: multiply ?15293 (inverse (inverse (inverse ?15295))) =<= multiply ?15293 (inverse (inverse (inverse (multiply (multiply (inverse ?15296) ?15296) ?15295)))) [15296, 15295, 15293] by Demod 5263 with 4862 at 2
% 8.47/2.44 Id : 6208, {_}: multiply (inverse (multiply ?16448 (inverse (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450)))))) (multiply ?16448 (inverse (inverse (inverse ?16450)))) =?= multiply (inverse (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450)))) (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) [16450, 16449, 16448] by Super 5824 with 5296 at 2,2
% 8.47/2.44 Id : 6240, {_}: multiply (inverse (multiply ?16448 (inverse (inverse (inverse ?16450))))) (multiply ?16448 (inverse (inverse (inverse ?16450)))) =?= multiply (inverse (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450)))) (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) [16449, 16450, 16448] by Demod 6208 with 5296 at 1,1,2
% 8.47/2.44 Id : 6241, {_}: multiply (inverse (multiply ?16448 (inverse (inverse (inverse ?16450))))) (multiply ?16448 (inverse (inverse (inverse ?16450)))) =?= multiply (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450)) [16449, 16450, 16448] by Demod 6240 with 4863 at 3
% 8.47/2.44 Id : 6242, {_}: multiply (inverse (inverse (inverse ?16450))) (inverse (inverse ?16450)) =<= multiply (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450)) [16449, 16450] by Demod 6241 with 5824 at 2
% 8.47/2.44 Id : 6243, {_}: multiply (inverse (inverse (inverse ?16450))) (inverse (inverse ?16450)) =<= multiply (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) (inverse ?16450) [16449, 16450] by Demod 6242 with 4862 at 3
% 8.47/2.44 Id : 6244, {_}: multiply (inverse (inverse ?16450)) (inverse ?16450) =<= multiply (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) (inverse ?16450) [16449, 16450] by Demod 6243 with 4863 at 2
% 8.47/2.44 Id : 6245, {_}: multiply (inverse ?16450) ?16450 =<= multiply (inverse (inverse (multiply (multiply (inverse ?16449) ?16449) ?16450))) (inverse ?16450) [16449, 16450] by Demod 6244 with 4863 at 2
% 8.47/2.44 Id : 7068, {_}: multiply (inverse (inverse (inverse (multiply (multiply (inverse ?14966) ?14966) ?14967)))) (inverse (inverse ?14967)) =>= multiply (inverse ?14967) ?14967 [14967, 14966] by Demod 5425 with 6245 at 3
% 8.47/2.44 Id : 16238, {_}: multiply (inverse (inverse (inverse (multiply (multiply (inverse ?28621) ?28621) (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623)))))) (inverse (inverse (inverse ?28623))) =?= multiply (inverse (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623))) (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623)) [28623, 28622, 28621] by Super 16172 with 7068 at 3
% 8.47/2.44 Id : 9495, {_}: multiply ?19919 (inverse (multiply (multiply (multiply (inverse ?19920) ?19920) (multiply (inverse ?19920) ?19920)) ?19921)) =>= multiply ?19919 (inverse ?19921) [19921, 19920, 19919] by Super 4862 with 5617 at 1,1,1,2,2
% 8.47/2.44 Id : 4876, {_}: multiply ?7804 (multiply (inverse ?7806) ?7806) =?= multiply ?7804 (inverse (multiply (inverse ?7808) ?7808)) [7808, 7806, 7804] by Demod 1891 with 4864 at 2
% 8.47/2.44 Id : 4877, {_}: multiply ?7804 (multiply (inverse ?7806) ?7806) =?= multiply ?7804 (multiply (inverse ?7808) ?7808) [7808, 7806, 7804] by Demod 4876 with 4864 at 3
% 8.47/2.44 Id : 9532, {_}: multiply ?20105 (inverse (multiply (multiply (multiply (inverse ?20106) ?20106) (multiply (inverse ?20107) ?20107)) ?20108)) =>= multiply ?20105 (inverse ?20108) [20108, 20107, 20106, 20105] by Super 9495 with 4877 at 1,1,2,2
% 8.47/2.44 Id : 16489, {_}: multiply (inverse (inverse (inverse (multiply (multiply (inverse ?28621) ?28621) (inverse ?28623))))) (inverse (inverse (inverse ?28623))) =?= multiply (inverse (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623))) (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623)) [28622, 28623, 28621] by Demod 16238 with 9532 at 1,1,1,1,2
% 8.47/2.44 Id : 16490, {_}: multiply (inverse (inverse (inverse (multiply (multiply (inverse ?28621) ?28621) (inverse ?28623))))) (inverse (inverse (inverse ?28623))) =?= multiply (inverse (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623))) (inverse ?28623) [28622, 28623, 28621] by Demod 16489 with 9532 at 3
% 8.47/2.44 Id : 16491, {_}: multiply (inverse (inverse ?28623)) (inverse ?28623) =<= multiply (inverse (inverse (multiply (multiply (multiply (inverse ?28622) ?28622) (multiply (inverse ?28622) ?28622)) ?28623))) (inverse ?28623) [28622, 28623] by Demod 16490 with 7068 at 2
% 8.47/2.44 Id : 17418, {_}: multiply (inverse (multiply (inverse (multiply ?30655 (inverse (multiply (inverse (inverse ?30656)) (inverse ?30656))))) (multiply ?30655 (inverse (inverse ?30656))))) (multiply (inverse ?30657) ?30657) =?= inverse (multiply (multiply (multiply (inverse ?30658) ?30658) (multiply (inverse ?30658) ?30658)) ?30656) [30658, 30657, 30656, 30655] by Super 4869 with 16491 at 1,2,1,1,1,1,2
% 8.47/2.44 Id : 17547, {_}: inverse ?30656 =<= inverse (multiply (multiply (multiply (inverse ?30658) ?30658) (multiply (inverse ?30658) ?30658)) ?30656) [30658, 30656] by Demod 17418 with 4869 at 2
% 8.47/2.44 Id : 17842, {_}: multiply ?31435 (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?31436) (multiply ?31435 (inverse ?31437)))) (multiply (inverse ?31437) ?31437))) ?31437)) =?= multiply (multiply (multiply (inverse ?31438) ?31438) (multiply (inverse ?31438) ?31438)) ?31436 [31438, 31437, 31436, 31435] by Super 4874 with 17547 at 1,1,1,1,1,1,2,2
% 8.47/2.44 Id : 18029, {_}: ?31436 =<= multiply (multiply (multiply (inverse ?31438) ?31438) (multiply (inverse ?31438) ?31438)) ?31436 [31438, 31436] by Demod 17842 with 4874 at 2
% 8.47/2.44 Id : 18189, {_}: inverse (multiply (multiply (inverse ?31966) ?31966) ?31967) =?= multiply (multiply (multiply (inverse ?31968) ?31968) (multiply (inverse ?31968) ?31968)) (inverse ?31967) [31968, 31967, 31966] by Super 4862 with 18029 at 2
% 8.47/2.44 Id : 18345, {_}: inverse (multiply (multiply (inverse ?31966) ?31966) ?31967) =>= inverse ?31967 [31967, 31966] by Demod 18189 with 18029 at 3
% 8.47/2.44 Id : 18721, {_}: multiply (inverse (multiply (inverse (multiply (inverse (multiply (inverse (multiply ?33282 (inverse (multiply (inverse ?33283) ?33284)))) (multiply ?33282 (inverse ?33284)))) (inverse (multiply (inverse ?33285) (multiply (inverse ?33284) ?33284))))) ?33283)) (multiply (inverse ?33284) ?33284) =?= multiply (multiply (inverse ?33286) ?33286) ?33285 [33286, 33285, 33284, 33283, 33282] by Super 4867 with 18345 at 1,1,2,1,1,1,1,2
% 8.47/2.44 Id : 18772, {_}: ?33285 =<= multiply (multiply (inverse ?33286) ?33286) ?33285 [33286, 33285] by Demod 18721 with 4867 at 2
% 8.47/2.44 Id : 19059, {_}: a2 === a2 [] by Demod 1 with 18772 at 2
% 8.47/2.44 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 8.47/2.44 % SZS output end CNFRefutation for theBenchmark.p
% 8.47/2.44 13146: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 2.094981 using nrkbo
%------------------------------------------------------------------------------