TSTP Solution File: GRP420-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP420-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n009.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 10:30:13 EDT 2022
% Result : Unsatisfiable 27.11s 8.03s
% Output : CNFRefutation 27.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP420-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 03:36:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 19841: Facts:
% 0.19/0.34 19841: Id : 2, {_}:
% 0.19/0.34 inverse
% 0.19/0.34 (multiply
% 0.19/0.34 (inverse
% 0.19/0.34 (multiply ?2
% 0.19/0.34 (inverse
% 0.19/0.34 (multiply (inverse ?3)
% 0.19/0.34 (inverse
% 0.19/0.34 (multiply ?4 (inverse (multiply (inverse ?4) ?4))))))))
% 0.19/0.34 (multiply ?2 ?4))
% 0.19/0.34 =>=
% 0.19/0.34 ?3
% 0.19/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.34 19841: Goal:
% 0.19/0.34 19841: Id : 1, {_}:
% 0.19/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.19/0.34 [] by prove_these_axioms_3
% 27.11/8.03 Statistics :
% 27.11/8.03 Max weight : 83
% 27.11/8.03 Found proof, 7.683374s
% 27.11/8.03 % SZS status Unsatisfiable for theBenchmark.p
% 27.11/8.03 % SZS output start CNFRefutation for theBenchmark.p
% 27.11/8.03 Id : 2, {_}: inverse (multiply (inverse (multiply ?2 (inverse (multiply (inverse ?3) (inverse (multiply ?4 (inverse (multiply (inverse ?4) ?4)))))))) (multiply ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 27.11/8.03 Id : 3, {_}: inverse (multiply (inverse (multiply ?6 (inverse (multiply (inverse ?7) (inverse (multiply ?8 (inverse (multiply (inverse ?8) ?8)))))))) (multiply ?6 ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 27.11/8.03 Id : 5, {_}: inverse (multiply (inverse (multiply ?16 (inverse (multiply ?17 (inverse (multiply ?18 (inverse (multiply (inverse ?18) ?18)))))))) (multiply ?16 ?18)) =?= multiply (inverse (multiply ?19 (inverse (multiply (inverse ?17) (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20)))))))) (multiply ?19 ?20) [20, 19, 18, 17, 16] by Super 3 with 2 at 1,1,2,1,1,1,2
% 27.11/8.03 Id : 52, {_}: multiply (inverse (multiply ?286 (inverse (multiply (inverse (inverse ?287)) (inverse (multiply ?288 (inverse (multiply (inverse ?288) ?288)))))))) (multiply ?286 ?288) =>= ?287 [288, 287, 286] by Super 2 with 5 at 2
% 27.11/8.03 Id : 11, {_}: multiply (inverse (multiply ?51 (inverse (multiply (inverse (inverse ?52)) (inverse (multiply ?53 (inverse (multiply (inverse ?53) ?53)))))))) (multiply ?51 ?53) =>= ?52 [53, 52, 51] by Super 2 with 5 at 2
% 27.11/8.03 Id : 53, {_}: multiply (inverse (multiply (inverse (multiply ?290 (inverse (multiply (inverse (inverse ?291)) (inverse (multiply ?292 (inverse (multiply (inverse ?292) ?292)))))))) (inverse (multiply (inverse (inverse ?293)) (inverse (multiply (multiply ?290 ?292) (inverse (multiply (inverse (multiply ?290 ?292)) (multiply ?290 ?292))))))))) ?291 =>= ?293 [293, 292, 291, 290] by Super 52 with 11 at 2,2
% 27.11/8.03 Id : 48, {_}: inverse (multiply (inverse (multiply (inverse (multiply ?272 (inverse (multiply (inverse (inverse ?273)) (inverse (multiply ?274 (inverse (multiply (inverse ?274) ?274)))))))) (inverse (multiply (inverse ?275) (inverse (multiply (multiply ?272 ?274) (inverse (multiply (inverse (multiply ?272 ?274)) (multiply ?272 ?274))))))))) ?273) =>= ?275 [275, 274, 273, 272] by Super 2 with 11 at 2,1,2
% 27.11/8.03 Id : 657, {_}: inverse (multiply (inverse (multiply ?4112 ?4113)) (multiply ?4112 ?4114)) =?= multiply (inverse (multiply ?4115 (inverse (multiply (inverse (inverse (inverse (multiply ?4114 (inverse (multiply (inverse ?4114) ?4114)))))) (inverse (multiply ?4116 (inverse (multiply (inverse ?4116) ?4116)))))))) (inverse (multiply (inverse ?4113) (inverse (multiply (multiply ?4115 ?4116) (inverse (multiply (inverse (multiply ?4115 ?4116)) (multiply ?4115 ?4116))))))) [4116, 4115, 4114, 4113, 4112] by Super 2 with 48 at 2,1,1,1,2
% 27.11/8.03 Id : 207, {_}: inverse (multiply (inverse (multiply ?1203 ?1204)) (multiply ?1203 ?1205)) =?= multiply (inverse (multiply ?1206 (inverse (multiply (inverse (inverse (inverse (multiply ?1205 (inverse (multiply (inverse ?1205) ?1205)))))) (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207)))))))) (inverse (multiply (inverse ?1204) (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse (multiply ?1206 ?1207)) (multiply ?1206 ?1207))))))) [1207, 1206, 1205, 1204, 1203] by Super 2 with 48 at 2,1,1,1,2
% 27.11/8.03 Id : 717, {_}: inverse (multiply (inverse (multiply ?4640 ?4641)) (multiply ?4640 ?4642)) =?= inverse (multiply (inverse (multiply ?4643 ?4641)) (multiply ?4643 ?4642)) [4643, 4642, 4641, 4640] by Super 657 with 207 at 3
% 27.11/8.03 Id : 929, {_}: multiply (inverse (multiply (inverse (multiply ?5860 (inverse (multiply (inverse (inverse ?5861)) (inverse (multiply ?5862 (inverse (multiply (inverse ?5862) ?5862)))))))) (inverse (multiply (inverse (inverse (multiply (inverse (multiply ?5863 ?5864)) (multiply ?5863 ?5865)))) (inverse (multiply (multiply ?5860 ?5862) (inverse (multiply (inverse (multiply ?5860 ?5862)) (multiply ?5860 ?5862))))))))) ?5861 =?= multiply (inverse (multiply ?5866 ?5864)) (multiply ?5866 ?5865) [5866, 5865, 5864, 5863, 5862, 5861, 5860] by Super 53 with 717 at 1,1,1,2,1,1,2
% 27.11/8.03 Id : 1028, {_}: multiply (inverse (multiply ?5863 ?5864)) (multiply ?5863 ?5865) =?= multiply (inverse (multiply ?5866 ?5864)) (multiply ?5866 ?5865) [5866, 5865, 5864, 5863] by Demod 929 with 53 at 2
% 27.11/8.03 Id : 3571, {_}: multiply (inverse (multiply ?25802 (inverse (multiply (inverse (inverse ?25803)) (inverse (multiply (multiply ?25804 ?25805) (inverse (multiply (inverse (multiply ?25806 ?25805)) (multiply ?25806 ?25805))))))))) (multiply ?25802 (multiply ?25804 ?25805)) =>= ?25803 [25806, 25805, 25804, 25803, 25802] by Super 11 with 717 at 2,1,2,1,2,1,1,2
% 27.11/8.03 Id : 3574, {_}: multiply (inverse (multiply ?25824 (inverse (multiply (inverse (inverse ?25825)) (inverse (multiply (multiply (inverse (multiply (inverse (multiply ?25826 (inverse (multiply (inverse (inverse ?25827)) (inverse (multiply ?25828 (inverse (multiply (inverse ?25828) ?25828)))))))) (inverse (multiply (inverse (inverse ?25829)) (inverse (multiply (multiply ?25826 ?25828) (inverse (multiply (inverse (multiply ?25826 ?25828)) (multiply ?25826 ?25828))))))))) ?25827) (inverse (multiply (inverse (multiply ?25830 ?25827)) (multiply ?25830 ?25827))))))))) (multiply ?25824 ?25829) =>= ?25825 [25830, 25829, 25828, 25827, 25826, 25825, 25824] by Super 3571 with 53 at 2,2,2
% 27.11/8.03 Id : 3908, {_}: multiply (inverse (multiply ?27795 (inverse (multiply (inverse (inverse ?27796)) (inverse (multiply ?27797 (inverse (multiply (inverse (multiply ?27798 ?27799)) (multiply ?27798 ?27799))))))))) (multiply ?27795 ?27797) =>= ?27796 [27799, 27798, 27797, 27796, 27795] by Demod 3574 with 53 at 1,1,2,1,2,1,1,2
% 27.11/8.03 Id : 3925, {_}: multiply (inverse (multiply ?27944 (inverse (multiply (inverse (inverse ?27945)) (inverse (multiply ?27946 (inverse (multiply (inverse (multiply (inverse (multiply ?27947 (inverse (multiply (inverse (inverse ?27948)) (inverse (multiply ?27949 (inverse (multiply (inverse ?27949) ?27949)))))))) (multiply ?27947 ?27949))) ?27948)))))))) (multiply ?27944 ?27946) =>= ?27945 [27949, 27948, 27947, 27946, 27945, 27944] by Super 3908 with 11 at 2,1,2,1,2,1,2,1,1,2
% 27.11/8.03 Id : 4071, {_}: multiply (inverse (multiply ?27944 (inverse (multiply (inverse (inverse ?27945)) (inverse (multiply ?27946 (inverse (multiply (inverse ?27948) ?27948)))))))) (multiply ?27944 ?27946) =>= ?27945 [27948, 27946, 27945, 27944] by Demod 3925 with 2 at 1,1,2,1,2,1,2,1,1,2
% 27.11/8.03 Id : 591, {_}: inverse (multiply (inverse (inverse (multiply (inverse (multiply ?3572 ?3573)) (multiply ?3572 ?3574)))) (inverse (multiply ?3574 (inverse (multiply (inverse ?3574) ?3574))))) =>= ?3573 [3574, 3573, 3572] by Super 48 with 207 at 1,1,1,2
% 27.11/8.03 Id : 580, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?3487 (inverse ?3488))) (multiply ?3487 ?3489)))) (inverse (multiply ?3489 (inverse (multiply (inverse ?3489) ?3489)))) =>= ?3488 [3489, 3488, 3487] by Super 53 with 207 at 1,1,2
% 27.11/8.03 Id : 4134, {_}: multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (inverse (multiply (inverse ?28894) ?28894)))) =?= multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (inverse (multiply (inverse ?28895) ?28895)))) [28895, 28894, 28893] by Super 580 with 4071 at 1,1,1,2
% 27.11/8.03 Id : 4538, {_}: multiply (inverse (inverse (multiply (inverse (multiply (inverse (inverse ?31153)) (inverse (multiply ?31154 (inverse (multiply (inverse ?31155) ?31155)))))) (multiply (inverse (inverse ?31153)) ?31156)))) (inverse (multiply ?31156 (inverse (multiply (inverse ?31156) ?31156)))) =?= multiply ?31154 (inverse (multiply (inverse ?31154) ?31154)) [31156, 31155, 31154, 31153] by Super 580 with 4134 at 1,1,1,1,1,2
% 27.11/8.03 Id : 4696, {_}: multiply ?31154 (inverse (multiply (inverse ?31155) ?31155)) =?= multiply ?31154 (inverse (multiply (inverse ?31154) ?31154)) [31155, 31154] by Demod 4538 with 580 at 2
% 27.11/8.03 Id : 4913, {_}: inverse (multiply (inverse (inverse (multiply (inverse (multiply ?33104 (inverse (multiply (inverse ?33104) ?33104)))) (multiply ?33104 ?33105)))) (inverse (multiply ?33105 (inverse (multiply (inverse ?33105) ?33105))))) =?= inverse (multiply (inverse ?33106) ?33106) [33106, 33105, 33104] by Super 591 with 4696 at 1,1,1,1,1,1,2
% 27.11/8.03 Id : 5017, {_}: inverse (multiply (inverse ?33104) ?33104) =?= inverse (multiply (inverse ?33106) ?33106) [33106, 33104] by Demod 4913 with 591 at 2
% 27.11/8.03 Id : 4789, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?32443 (inverse (multiply (inverse ?32443) ?32443)))) (multiply ?32443 ?32444)))) (inverse (multiply ?32444 (inverse (multiply (inverse ?32444) ?32444)))) =?= multiply (inverse ?32445) ?32445 [32445, 32444, 32443] by Super 580 with 4696 at 1,1,1,1,1,2
% 27.11/8.03 Id : 5031, {_}: multiply (inverse ?32443) ?32443 =?= multiply (inverse ?32445) ?32445 [32445, 32443] by Demod 4789 with 580 at 2
% 27.11/8.03 Id : 6858, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?44215) ?44215))) (inverse (multiply ?44216 (inverse (multiply (inverse ?44216) ?44216))))) =>= ?44216 [44216, 44215] by Super 591 with 5031 at 1,1,1,1,2
% 27.11/8.03 Id : 6885, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?44373) ?44373))) (inverse (multiply ?44374 (inverse (multiply (inverse ?44375) ?44375))))) =>= ?44374 [44375, 44374, 44373] by Super 6858 with 5031 at 1,2,1,2,1,2
% 27.11/8.03 Id : 7380, {_}: inverse (multiply (inverse ?46625) ?46625) =?= inverse (inverse (multiply (inverse ?46626) ?46626)) [46626, 46625] by Super 5017 with 6885 at 3
% 27.11/8.03 Id : 18887, {_}: inverse (multiply (inverse (multiply (inverse ?99959) ?99959)) (inverse (multiply ?99960 (inverse (multiply (inverse ?99960) ?99960))))) =>= ?99960 [99960, 99959] by Super 591 with 7380 at 1,1,2
% 27.11/8.03 Id : 4950, {_}: multiply ?33345 (inverse (multiply (inverse ?33346) ?33346)) =?= multiply ?33345 (inverse (multiply (inverse ?33345) ?33345)) [33346, 33345] by Demod 4538 with 580 at 2
% 27.11/8.03 Id : 4983, {_}: multiply ?33545 (inverse (multiply (inverse ?33546) ?33546)) =?= multiply ?33545 (inverse (multiply (inverse ?33547) ?33547)) [33547, 33546, 33545] by Super 4950 with 4696 at 3
% 27.11/8.03 Id : 7717, {_}: multiply (inverse (multiply (inverse (multiply ?48186 (inverse (multiply (inverse (inverse ?48187)) (inverse (multiply ?48188 (inverse (multiply (inverse ?48188) ?48188)))))))) (inverse (multiply (inverse (inverse (inverse (multiply (inverse ?48189) ?48189)))) (inverse (multiply (multiply ?48186 ?48188) (inverse (multiply (inverse (multiply ?48186 ?48188)) (multiply ?48186 ?48188))))))))) ?48187 =?= multiply (inverse ?48190) ?48190 [48190, 48189, 48188, 48187, 48186] by Super 53 with 7380 at 1,1,1,2,1,1,2
% 27.11/8.03 Id : 7918, {_}: inverse (multiply (inverse ?48189) ?48189) =?= multiply (inverse ?48190) ?48190 [48190, 48189] by Demod 7717 with 53 at 2
% 27.11/8.03 Id : 7956, {_}: multiply ?49247 (inverse (multiply (inverse ?49248) ?49248)) =?= multiply ?49247 (multiply (inverse ?49249) ?49249) [49249, 49248, 49247] by Super 4983 with 7918 at 2,3
% 27.11/8.03 Id : 18950, {_}: inverse (multiply (inverse (multiply (inverse ?100266) ?100266)) (inverse (multiply (inverse (multiply (inverse ?100267) ?100267)) (inverse (multiply (inverse (inverse (multiply (inverse ?100267) ?100267))) (multiply (inverse ?100268) ?100268)))))) =>= inverse (multiply (inverse ?100267) ?100267) [100268, 100267, 100266] by Super 18887 with 7956 at 1,2,1,2,1,2
% 27.11/8.03 Id : 7953, {_}: multiply (inverse ?49235) ?49235 =?= inverse (inverse (multiply (inverse ?49236) ?49236)) [49236, 49235] by Super 6885 with 7918 at 2
% 27.11/8.03 Id : 13874, {_}: inverse (multiply (multiply (inverse ?78861) ?78861) (inverse (multiply ?78862 (inverse (multiply (inverse ?78862) ?78862))))) =>= ?78862 [78862, 78861] by Super 591 with 7953 at 1,1,2
% 27.11/8.03 Id : 14180, {_}: inverse (multiply (multiply (inverse ?80407) ?80407) (inverse (multiply ?80408 (multiply (inverse ?80409) ?80409)))) =>= ?80408 [80409, 80408, 80407] by Super 13874 with 7918 at 2,1,2,1,2
% 27.11/8.03 Id : 14355, {_}: inverse (multiply (inverse (multiply (inverse ?81370) ?81370)) (inverse (multiply ?81371 (multiply (inverse ?81372) ?81372)))) =>= ?81371 [81372, 81371, 81370] by Super 14180 with 7918 at 1,1,2
% 27.11/8.03 Id : 19302, {_}: inverse (multiply (inverse (multiply (inverse ?101523) ?101523)) (inverse (inverse (multiply (inverse ?101524) ?101524)))) =>= inverse (multiply (inverse ?101524) ?101524) [101524, 101523] by Demod 18950 with 14355 at 2,1,2
% 27.11/8.03 Id : 19494, {_}: inverse (multiply (multiply (inverse ?102406) ?102406) (inverse (inverse (multiply (inverse ?102407) ?102407)))) =>= inverse (multiply (inverse ?102407) ?102407) [102407, 102406] by Super 19302 with 7918 at 1,1,2
% 27.11/8.03 Id : 19726, {_}: multiply (inverse (multiply ?102950 (inverse (multiply (inverse (inverse (multiply (inverse ?102951) ?102951))) (inverse (multiply ?102952 (inverse (multiply (inverse ?102953) ?102953)))))))) (multiply ?102950 ?102952) =?= multiply (multiply (inverse ?102954) ?102954) (inverse (inverse (multiply (inverse ?102951) ?102951))) [102954, 102953, 102952, 102951, 102950] by Super 4071 with 19494 at 1,1,1,2,1,1,2
% 27.11/8.03 Id : 19952, {_}: multiply (inverse ?102951) ?102951 =<= multiply (multiply (inverse ?102954) ?102954) (inverse (inverse (multiply (inverse ?102951) ?102951))) [102954, 102951] by Demod 19726 with 4071 at 2
% 27.11/8.03 Id : 20097, {_}: inverse (multiply (inverse (multiply (multiply (inverse ?104139) ?104139) (inverse (multiply (inverse ?104140) (inverse (multiply (inverse (inverse (multiply (inverse ?104141) ?104141))) (inverse (multiply (inverse (inverse (inverse (multiply (inverse ?104141) ?104141)))) (inverse (inverse (multiply (inverse ?104141) ?104141))))))))))) (multiply (inverse ?104141) ?104141)) =>= ?104140 [104141, 104140, 104139] by Super 2 with 19952 at 2,1,2
% 27.11/8.03 Id : 8608, {_}: inverse (multiply (multiply (inverse ?52721) ?52721) (inverse (multiply ?52722 (inverse (multiply (inverse ?52722) ?52722))))) =>= ?52722 [52722, 52721] by Super 591 with 7953 at 1,1,2
% 27.11/8.03 Id : 13948, {_}: inverse (multiply (multiply (inverse ?79223) ?79223) (inverse (multiply ?79224 (multiply (inverse ?79225) ?79225)))) =>= ?79224 [79225, 79224, 79223] by Super 13874 with 7918 at 2,1,2,1,2
% 27.11/8.03 Id : 14542, {_}: inverse (multiply (multiply (inverse ?82186) ?82186) (inverse (multiply (inverse ?82187) ?82187))) =>= multiply (inverse ?82187) ?82187 [82187, 82186] by Super 8608 with 13948 at 2,1,2
% 27.11/8.03 Id : 14675, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?82836) ?82836))) (inverse (multiply (inverse ?82837) ?82837))) =>= multiply (inverse ?82837) ?82837 [82837, 82836] by Super 14542 with 7953 at 1,1,2
% 27.11/8.03 Id : 20385, {_}: inverse (multiply (inverse (multiply (multiply (inverse ?104139) ?104139) (inverse (multiply (inverse ?104140) (multiply (inverse (inverse (inverse (multiply (inverse ?104141) ?104141)))) (inverse (inverse (multiply (inverse ?104141) ?104141)))))))) (multiply (inverse ?104141) ?104141)) =>= ?104140 [104141, 104140, 104139] by Demod 20097 with 14675 at 2,1,2,1,1,1,2
% 27.11/8.03 Id : 20386, {_}: inverse (multiply (inverse ?104140) (multiply (inverse ?104141) ?104141)) =>= ?104140 [104141, 104140] by Demod 20385 with 13948 at 1,1,2
% 27.11/8.03 Id : 21038, {_}: inverse (multiply (multiply (inverse ?107538) ?107538) ?107539) =>= inverse ?107539 [107539, 107538] by Super 13948 with 20386 at 2,1,2
% 27.11/8.03 Id : 21513, {_}: inverse (multiply (inverse ?109403) (multiply (inverse ?109404) ?109404)) =?= multiply (multiply (inverse ?109405) ?109405) ?109403 [109405, 109404, 109403] by Super 20386 with 21038 at 1,1,2
% 27.11/8.03 Id : 21605, {_}: ?109403 =<= multiply (multiply (inverse ?109405) ?109405) ?109403 [109405, 109403] by Demod 21513 with 20386 at 2
% 27.11/8.03 Id : 21785, {_}: multiply (inverse (multiply ?110258 ?110259)) (multiply ?110258 ?110260) =?= multiply (inverse (multiply (multiply (inverse ?110261) ?110261) ?110259)) ?110260 [110261, 110260, 110259, 110258] by Super 1028 with 21605 at 2,3
% 27.11/8.03 Id : 21979, {_}: multiply (inverse (multiply ?110258 ?110259)) (multiply ?110258 ?110260) =>= multiply (inverse ?110259) ?110260 [110260, 110259, 110258] by Demod 21785 with 21605 at 1,1,3
% 27.11/8.03 Id : 24553, {_}: inverse (multiply (inverse (inverse (multiply ?17 (inverse (multiply ?18 (inverse (multiply (inverse ?18) ?18))))))) ?18) =?= multiply (inverse (multiply ?19 (inverse (multiply (inverse ?17) (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20)))))))) (multiply ?19 ?20) [20, 19, 18, 17] by Demod 5 with 21979 at 1,2
% 27.11/8.03 Id : 24554, {_}: inverse (multiply (inverse (inverse (multiply ?17 (inverse (multiply ?18 (inverse (multiply (inverse ?18) ?18))))))) ?18) =?= multiply (inverse (inverse (multiply (inverse ?17) (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20))))))) ?20 [20, 18, 17] by Demod 24553 with 21979 at 3
% 27.11/8.03 Id : 24600, {_}: inverse (multiply (inverse ?117843) ?117844) =>= multiply (inverse ?117844) ?117843 [117844, 117843] by Super 20386 with 21979 at 1,2
% 27.11/8.03 Id : 24830, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse (multiply ?18 (inverse (multiply (inverse ?18) ?18)))))) =?= multiply (inverse (inverse (multiply (inverse ?17) (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20))))))) ?20 [20, 17, 18] by Demod 24554 with 24600 at 2
% 27.11/8.03 Id : 24831, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse (multiply ?18 (inverse (multiply (inverse ?18) ?18)))))) =?= multiply (inverse (multiply (inverse (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20))))) ?17)) ?20 [20, 17, 18] by Demod 24830 with 24600 at 1,1,3
% 27.11/8.03 Id : 24832, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse (multiply ?18 (multiply (inverse ?18) ?18))))) =?= multiply (inverse (multiply (inverse (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20))))) ?17)) ?20 [20, 17, 18] by Demod 24831 with 24600 at 2,1,2,1,2,2
% 27.11/8.03 Id : 24833, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse (multiply ?18 (multiply (inverse ?18) ?18))))) =?= multiply (multiply (inverse ?17) (inverse (multiply ?20 (inverse (multiply (inverse ?20) ?20))))) ?20 [20, 17, 18] by Demod 24832 with 24600 at 1,3
% 27.11/8.03 Id : 24834, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse (multiply ?18 (multiply (inverse ?18) ?18))))) =?= multiply (multiply (inverse ?17) (inverse (multiply ?20 (multiply (inverse ?20) ?20)))) ?20 [20, 17, 18] by Demod 24833 with 24600 at 2,1,2,1,3
% 27.11/8.03 Id : 24563, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?3573) ?3574))) (inverse (multiply ?3574 (inverse (multiply (inverse ?3574) ?3574))))) =>= ?3573 [3574, 3573] by Demod 591 with 21979 at 1,1,1,1,2
% 27.11/8.03 Id : 24840, {_}: multiply (inverse (inverse (multiply ?3574 (inverse (multiply (inverse ?3574) ?3574))))) (inverse (multiply (inverse ?3573) ?3574)) =>= ?3573 [3573, 3574] by Demod 24563 with 24600 at 2
% 27.11/8.03 Id : 24841, {_}: multiply (inverse (inverse (multiply ?3574 (multiply (inverse ?3574) ?3574)))) (inverse (multiply (inverse ?3573) ?3574)) =>= ?3573 [3573, 3574] by Demod 24840 with 24600 at 2,1,1,1,2
% 27.11/8.03 Id : 24842, {_}: multiply (inverse (inverse (multiply ?3574 (multiply (inverse ?3574) ?3574)))) (multiply (inverse ?3574) ?3573) =>= ?3573 [3573, 3574] by Demod 24841 with 24600 at 2,2
% 27.11/8.03 Id : 10, {_}: inverse (inverse (multiply (inverse (multiply ?47 (inverse (multiply ?48 (inverse (multiply ?49 (inverse (multiply (inverse ?49) ?49)))))))) (multiply ?47 ?49))) =>= ?48 [49, 48, 47] by Super 2 with 5 at 1,2
% 27.11/8.03 Id : 20098, {_}: inverse (inverse (multiply (inverse (multiply (multiply (inverse ?104143) ?104143) (inverse (multiply ?104144 (inverse (multiply (inverse (inverse (multiply (inverse ?104145) ?104145))) (inverse (multiply (inverse (inverse (inverse (multiply (inverse ?104145) ?104145)))) (inverse (inverse (multiply (inverse ?104145) ?104145))))))))))) (multiply (inverse ?104145) ?104145))) =>= ?104144 [104145, 104144, 104143] by Super 10 with 19952 at 2,1,1,2
% 27.11/8.04 Id : 20383, {_}: inverse (inverse (multiply (inverse (multiply (multiply (inverse ?104143) ?104143) (inverse (multiply ?104144 (multiply (inverse (inverse (inverse (multiply (inverse ?104145) ?104145)))) (inverse (inverse (multiply (inverse ?104145) ?104145)))))))) (multiply (inverse ?104145) ?104145))) =>= ?104144 [104145, 104144, 104143] by Demod 20098 with 14675 at 2,1,2,1,1,1,1,2
% 27.11/8.04 Id : 20384, {_}: inverse (inverse (multiply ?104144 (multiply (inverse ?104145) ?104145))) =>= ?104144 [104145, 104144] by Demod 20383 with 13948 at 1,1,1,2
% 27.11/8.04 Id : 24965, {_}: multiply ?3574 (multiply (inverse ?3574) ?3573) =>= ?3573 [3573, 3574] by Demod 24842 with 20384 at 1,2
% 27.11/8.04 Id : 24976, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse ?18))) =?= multiply (multiply (inverse ?17) (inverse (multiply ?20 (multiply (inverse ?20) ?20)))) ?20 [20, 17, 18] by Demod 24834 with 24965 at 1,2,1,2,2
% 27.11/8.04 Id : 24977, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse ?18))) =?= multiply (multiply (inverse ?17) (inverse ?20)) ?20 [20, 17, 18] by Demod 24976 with 24965 at 1,2,1,3
% 27.11/8.04 Id : 24560, {_}: multiply (inverse (multiply (inverse (multiply ?290 (inverse (multiply (inverse (inverse ?291)) (inverse (multiply ?292 (inverse (multiply (inverse ?292) ?292)))))))) (inverse (multiply (inverse (inverse ?293)) (inverse (multiply (multiply ?290 ?292) (inverse (multiply (inverse ?292) ?292)))))))) ?291 =>= ?293 [293, 292, 291, 290] by Demod 53 with 21979 at 1,2,1,2,1,2,1,1,2
% 27.11/8.04 Id : 8667, {_}: inverse (multiply (multiply (inverse ?53046) ?53046) (inverse (multiply ?53047 (inverse (multiply (inverse ?53048) ?53048))))) =>= ?53047 [53048, 53047, 53046] by Super 6885 with 7953 at 1,1,2
% 27.11/8.04 Id : 21322, {_}: inverse (inverse (multiply ?53047 (inverse (multiply (inverse ?53048) ?53048)))) =>= ?53047 [53048, 53047] by Demod 8667 with 21038 at 2
% 27.11/8.04 Id : 21326, {_}: inverse (multiply (inverse (multiply ?1203 ?1204)) (multiply ?1203 ?1205)) =?= multiply (inverse (multiply ?1206 (inverse (multiply (inverse ?1205) (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207)))))))) (inverse (multiply (inverse ?1204) (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse (multiply ?1206 ?1207)) (multiply ?1206 ?1207))))))) [1207, 1206, 1205, 1204, 1203] by Demod 207 with 21322 at 1,1,1,2,1,1,3
% 27.11/8.04 Id : 24574, {_}: inverse (multiply (inverse ?1204) ?1205) =<= multiply (inverse (multiply ?1206 (inverse (multiply (inverse ?1205) (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207)))))))) (inverse (multiply (inverse ?1204) (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse (multiply ?1206 ?1207)) (multiply ?1206 ?1207))))))) [1207, 1206, 1205, 1204] by Demod 21326 with 21979 at 1,2
% 27.11/8.04 Id : 24575, {_}: inverse (multiply (inverse ?1204) ?1205) =<= multiply (inverse (multiply ?1206 (inverse (multiply (inverse ?1205) (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207)))))))) (inverse (multiply (inverse ?1204) (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse ?1207) ?1207)))))) [1207, 1206, 1205, 1204] by Demod 24574 with 21979 at 1,2,1,2,1,2,3
% 27.11/8.04 Id : 24576, {_}: multiply (inverse (inverse (multiply (inverse (inverse ?293)) (inverse ?291)))) ?291 =>= ?293 [291, 293] by Demod 24560 with 24575 at 1,1,2
% 27.11/8.04 Id : 24942, {_}: multiply (inverse (multiply (inverse (inverse ?291)) (inverse ?293))) ?291 =>= ?293 [293, 291] by Demod 24576 with 24600 at 1,1,2
% 27.11/8.04 Id : 24943, {_}: multiply (multiply (inverse (inverse ?293)) (inverse ?291)) ?291 =>= ?293 [291, 293] by Demod 24942 with 24600 at 1,2
% 27.11/8.04 Id : 24893, {_}: multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (multiply (inverse ?28894) ?28894))) =?= multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (inverse (multiply (inverse ?28895) ?28895)))) [28895, 28894, 28893] by Demod 4134 with 24600 at 2,1,2,2
% 27.11/8.04 Id : 24894, {_}: multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (multiply (inverse ?28894) ?28894))) =?= multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (multiply (inverse ?28895) ?28895))) [28895, 28894, 28893] by Demod 24893 with 24600 at 2,1,2,3
% 27.11/8.04 Id : 24971, {_}: multiply (inverse (inverse ?28893)) (inverse ?28894) =<= multiply (inverse (inverse ?28893)) (inverse (multiply ?28894 (multiply (inverse ?28895) ?28895))) [28895, 28894, 28893] by Demod 24894 with 24965 at 1,2,2
% 27.11/8.04 Id : 25010, {_}: multiply (inverse (inverse ?118556)) (inverse (inverse ?118557)) =<= multiply (inverse (inverse ?118556)) (multiply (inverse (multiply (inverse ?118558) ?118558)) ?118557) [118558, 118557, 118556] by Super 24971 with 24600 at 2,3
% 27.11/8.04 Id : 25053, {_}: multiply (inverse (inverse ?118556)) (inverse (inverse ?118557)) =<= multiply (inverse (inverse ?118556)) (multiply (multiply (inverse ?118558) ?118558) ?118557) [118558, 118557, 118556] by Demod 25010 with 24600 at 1,2,3
% 27.11/8.04 Id : 25054, {_}: multiply (inverse (inverse ?118556)) (inverse (inverse ?118557)) =>= multiply (inverse (inverse ?118556)) ?118557 [118557, 118556] by Demod 25053 with 21605 at 2,3
% 27.11/8.04 Id : 25121, {_}: multiply (inverse ?118781) (multiply (inverse (inverse ?118781)) ?118782) =>= inverse (inverse ?118782) [118782, 118781] by Super 24965 with 25054 at 2,2
% 27.11/8.04 Id : 25154, {_}: ?118782 =<= inverse (inverse ?118782) [118782] by Demod 25121 with 24965 at 2
% 27.11/8.04 Id : 25194, {_}: multiply (multiply ?293 (inverse ?291)) ?291 =>= ?293 [291, 293] by Demod 24943 with 25154 at 1,1,2
% 27.11/8.04 Id : 25201, {_}: multiply (inverse ?18) (inverse (multiply ?17 (inverse ?18))) =>= inverse ?17 [17, 18] by Demod 24977 with 25194 at 3
% 27.11/8.04 Id : 25222, {_}: multiply (inverse (inverse ?118920)) (inverse (multiply ?118921 ?118920)) =>= inverse ?118921 [118921, 118920] by Super 25201 with 25154 at 2,1,2,2
% 27.11/8.04 Id : 25574, {_}: multiply ?119615 (inverse (multiply ?119616 ?119615)) =>= inverse ?119616 [119616, 119615] by Demod 25222 with 25154 at 1,2
% 27.11/8.04 Id : 24843, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (inverse (multiply (inverse ?1205) (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207)))))))) (inverse (multiply (inverse ?1204) (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse ?1207) ?1207)))))) [1207, 1206, 1204, 1205] by Demod 24575 with 24600 at 2
% 27.11/8.04 Id : 24844, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (multiply (inverse (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207))))) ?1205))) (inverse (multiply (inverse ?1204) (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse ?1207) ?1207)))))) [1207, 1206, 1204, 1205] by Demod 24843 with 24600 at 2,1,1,3
% 27.11/8.04 Id : 24845, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (multiply (inverse (inverse (multiply ?1207 (inverse (multiply (inverse ?1207) ?1207))))) ?1205))) (multiply (inverse (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse ?1207) ?1207))))) ?1204) [1207, 1206, 1204, 1205] by Demod 24844 with 24600 at 2,3
% 27.11/8.04 Id : 24846, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (multiply (inverse (inverse (multiply ?1207 (multiply (inverse ?1207) ?1207)))) ?1205))) (multiply (inverse (inverse (multiply (multiply ?1206 ?1207) (inverse (multiply (inverse ?1207) ?1207))))) ?1204) [1207, 1206, 1204, 1205] by Demod 24845 with 24600 at 2,1,1,1,2,1,1,3
% 27.11/8.04 Id : 24847, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (multiply (inverse (inverse (multiply ?1207 (multiply (inverse ?1207) ?1207)))) ?1205))) (multiply (inverse (inverse (multiply (multiply ?1206 ?1207) (multiply (inverse ?1207) ?1207)))) ?1204) [1207, 1206, 1204, 1205] by Demod 24846 with 24600 at 2,1,1,1,2,3
% 27.11/8.04 Id : 24963, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (multiply ?1207 ?1205))) (multiply (inverse (inverse (multiply (multiply ?1206 ?1207) (multiply (inverse ?1207) ?1207)))) ?1204) [1207, 1206, 1204, 1205] by Demod 24847 with 20384 at 1,2,1,1,3
% 27.11/8.04 Id : 24964, {_}: multiply (inverse ?1205) ?1204 =<= multiply (inverse (multiply ?1206 (multiply ?1207 ?1205))) (multiply (multiply ?1206 ?1207) ?1204) [1207, 1206, 1204, 1205] by Demod 24963 with 20384 at 1,2,3
% 27.11/8.04 Id : 25590, {_}: multiply (multiply (multiply ?119671 ?119672) ?119673) (inverse (multiply (inverse ?119674) ?119673)) =>= inverse (inverse (multiply ?119671 (multiply ?119672 ?119674))) [119674, 119673, 119672, 119671] by Super 25574 with 24964 at 1,2,2
% 27.11/8.04 Id : 25658, {_}: multiply (multiply (multiply ?119671 ?119672) ?119673) (multiply (inverse ?119673) ?119674) =>= inverse (inverse (multiply ?119671 (multiply ?119672 ?119674))) [119674, 119673, 119672, 119671] by Demod 25590 with 24600 at 2,2
% 27.11/8.04 Id : 25659, {_}: multiply (multiply (multiply ?119671 ?119672) ?119673) (multiply (inverse ?119673) ?119674) =>= multiply ?119671 (multiply ?119672 ?119674) [119674, 119673, 119672, 119671] by Demod 25658 with 25154 at 3
% 27.11/8.04 Id : 25211, {_}: inverse (multiply ?118881 ?118882) =<= multiply (inverse ?118882) (inverse ?118881) [118882, 118881] by Super 24600 with 25154 at 1,1,2
% 27.11/8.04 Id : 25247, {_}: multiply (inverse (inverse (multiply ?118967 ?118968))) (multiply (inverse ?118968) ?118969) =>= multiply (inverse (inverse ?118967)) ?118969 [118969, 118968, 118967] by Super 21979 with 25211 at 1,1,2
% 27.11/8.04 Id : 25282, {_}: multiply (multiply ?118967 ?118968) (multiply (inverse ?118968) ?118969) =>= multiply (inverse (inverse ?118967)) ?118969 [118969, 118968, 118967] by Demod 25247 with 25154 at 1,2
% 27.11/8.04 Id : 25283, {_}: multiply (multiply ?118967 ?118968) (multiply (inverse ?118968) ?118969) =>= multiply ?118967 ?118969 [118969, 118968, 118967] by Demod 25282 with 25154 at 1,3
% 27.11/8.04 Id : 35576, {_}: multiply (multiply ?119671 ?119672) ?119674 =?= multiply ?119671 (multiply ?119672 ?119674) [119674, 119672, 119671] by Demod 25659 with 25283 at 2
% 27.11/8.04 Id : 36045, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 35576 at 2
% 27.11/8.04 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 27.11/8.04 % SZS output end CNFRefutation for theBenchmark.p
% 27.11/8.04 19844: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 6.67567 using nrkbo
%------------------------------------------------------------------------------