TSTP Solution File: GRP588-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP588-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n027.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 10:30:53 EDT 2022
% Result : Unsatisfiable 0.22s 0.54s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP588-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 22:56:02 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 4916: Facts:
% 0.15/0.36 4916: Id : 2, {_}:
% 0.15/0.36 double_divide ?2
% 0.15/0.36 (inverse
% 0.15/0.36 (double_divide
% 0.15/0.36 (inverse (double_divide (double_divide ?2 ?3) (inverse ?4)))
% 0.15/0.36 ?3))
% 0.15/0.36 =>=
% 0.15/0.36 ?4
% 0.15/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.15/0.36 4916: Id : 3, {_}:
% 0.15/0.36 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.15/0.36 [7, 6] by multiply ?6 ?7
% 0.15/0.36 4916: Goal:
% 0.15/0.36 4916: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.22/0.54 Statistics :
% 0.22/0.54 Max weight : 26
% 0.22/0.54 Found proof, 0.180019s
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/0.54 % SZS output start CNFRefutation for theBenchmark.p
% 0.22/0.54 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 0.22/0.54 Id : 4, {_}: double_divide ?9 (inverse (double_divide (inverse (double_divide (double_divide ?9 ?10) (inverse ?11))) ?10)) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.22/0.54 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.22/0.54 Id : 2, {_}: double_divide ?2 (inverse (double_divide (inverse (double_divide (double_divide ?2 ?3) (inverse ?4))) ?3)) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.54 Id : 8, {_}: double_divide ?2 (multiply ?3 (inverse (double_divide (double_divide ?2 ?3) (inverse ?4)))) =>= ?4 [4, 3, 2] by Demod 2 with 3 at 2,2
% 0.22/0.54 Id : 9, {_}: double_divide ?2 (multiply ?3 (multiply (inverse ?4) (double_divide ?2 ?3))) =>= ?4 [4, 3, 2] by Demod 8 with 3 at 2,2,2
% 0.22/0.54 Id : 6, {_}: double_divide ?18 (inverse (double_divide (inverse ?19) ?20)) =<= double_divide (inverse (double_divide (double_divide (double_divide ?18 ?20) ?21) (inverse ?19))) ?21 [21, 20, 19, 18] by Super 4 with 2 at 1,1,1,2,2
% 0.22/0.54 Id : 19, {_}: double_divide ?18 (multiply ?20 (inverse ?19)) =<= double_divide (inverse (double_divide (double_divide (double_divide ?18 ?20) ?21) (inverse ?19))) ?21 [21, 19, 20, 18] by Demod 6 with 3 at 2,2
% 0.22/0.54 Id : 20, {_}: double_divide ?18 (multiply ?20 (inverse ?19)) =<= double_divide (multiply (inverse ?19) (double_divide (double_divide ?18 ?20) ?21)) ?21 [21, 19, 20, 18] by Demod 19 with 3 at 1,3
% 0.22/0.54 Id : 23, {_}: multiply ?68 (multiply (inverse ?69) (double_divide (double_divide ?70 ?71) ?68)) =>= inverse (double_divide ?70 (multiply ?71 (inverse ?69))) [71, 70, 69, 68] by Super 3 with 20 at 1,3
% 0.22/0.54 Id : 30, {_}: multiply ?68 (multiply (inverse ?69) (double_divide (double_divide ?70 ?71) ?68)) =>= multiply (multiply ?71 (inverse ?69)) ?70 [71, 70, 69, 68] by Demod 23 with 3 at 3
% 0.22/0.54 Id : 51, {_}: double_divide (double_divide ?185 ?186) (multiply (multiply ?186 (inverse ?187)) ?185) =>= ?187 [187, 186, 185] by Super 9 with 30 at 2,2
% 0.22/0.54 Id : 52, {_}: double_divide (double_divide ?189 ?190) (multiply (multiply ?190 (multiply ?191 ?192)) ?189) =>= double_divide ?192 ?191 [192, 191, 190, 189] by Super 51 with 3 at 2,1,2,2
% 0.22/0.54 Id : 12, {_}: multiply (multiply ?33 (multiply (inverse ?34) (double_divide ?35 ?33))) ?35 =>= inverse ?34 [35, 34, 33] by Super 11 with 9 at 1,3
% 0.22/0.54 Id : 34, {_}: multiply (multiply (multiply ?111 (inverse ?112)) ?113) (double_divide ?113 ?111) =>= inverse ?112 [113, 112, 111] by Super 12 with 30 at 1,2
% 0.22/0.54 Id : 35, {_}: multiply ?115 (multiply (inverse ?116) (double_divide (double_divide ?117 ?118) ?115)) =>= multiply (multiply ?118 (inverse ?116)) ?117 [118, 117, 116, 115] by Demod 23 with 3 at 3
% 0.22/0.54 Id : 38, {_}: multiply (multiply ?133 (multiply (inverse ?134) (double_divide (double_divide ?135 ?136) ?133))) (multiply (inverse ?137) ?134) =>= multiply (multiply ?136 (inverse ?137)) ?135 [137, 136, 135, 134, 133] by Super 35 with 9 at 2,2,2
% 0.22/0.54 Id : 74, {_}: multiply (multiply (multiply ?284 (inverse ?285)) ?286) (multiply (inverse ?287) ?285) =>= multiply (multiply ?284 (inverse ?287)) ?286 [287, 286, 285, 284] by Demod 38 with 30 at 1,2
% 0.22/0.54 Id : 80, {_}: multiply (inverse ?321) (multiply (inverse ?322) ?323) =<= multiply (multiply (multiply ?324 (inverse ?321)) (inverse ?322)) (double_divide (inverse ?323) ?324) [324, 323, 322, 321] by Super 74 with 34 at 1,2
% 0.22/0.54 Id : 493, {_}: multiply (inverse ?1975) (multiply (inverse ?1976) ?1976) =>= inverse ?1975 [1976, 1975] by Super 34 with 80 at 2
% 0.22/0.54 Id : 533, {_}: double_divide (double_divide ?2118 ?2119) (multiply (multiply ?2119 (inverse ?2120)) ?2118) =?= double_divide (multiply (inverse ?2121) ?2121) (inverse ?2120) [2121, 2120, 2119, 2118] by Super 52 with 493 at 2,1,2,2
% 0.22/0.54 Id : 33, {_}: double_divide (double_divide ?107 ?108) (multiply (multiply ?108 (inverse ?109)) ?107) =>= ?109 [109, 108, 107] by Super 9 with 30 at 2,2
% 0.22/0.54 Id : 572, {_}: ?2212 =<= double_divide (multiply (inverse ?2213) ?2213) (inverse ?2212) [2213, 2212] by Demod 533 with 33 at 2
% 0.22/0.54 Id : 573, {_}: double_divide ?2215 ?2216 =<= double_divide (multiply (inverse ?2217) ?2217) (multiply ?2216 ?2215) [2217, 2216, 2215] by Super 572 with 3 at 2,3
% 0.22/0.54 Id : 42, {_}: multiply (multiply (multiply ?136 (inverse ?134)) ?135) (multiply (inverse ?137) ?134) =>= multiply (multiply ?136 (inverse ?137)) ?135 [137, 135, 134, 136] by Demod 38 with 30 at 1,2
% 0.22/0.54 Id : 535, {_}: multiply (inverse ?2127) (multiply (inverse ?2128) ?2128) =>= inverse ?2127 [2128, 2127] by Super 34 with 80 at 2
% 0.22/0.54 Id : 538, {_}: multiply (multiply ?2137 ?2138) (multiply (inverse ?2139) ?2139) =>= inverse (double_divide ?2138 ?2137) [2139, 2138, 2137] by Super 535 with 3 at 1,2
% 0.22/0.54 Id : 554, {_}: multiply (multiply ?2137 ?2138) (multiply (inverse ?2139) ?2139) =>= multiply ?2137 ?2138 [2139, 2138, 2137] by Demod 538 with 3 at 3
% 0.22/0.54 Id : 659, {_}: multiply (multiply ?2487 (inverse ?2488)) (multiply (inverse ?2489) ?2488) =?= multiply (multiply ?2487 (inverse ?2489)) (multiply (inverse ?2490) ?2490) [2490, 2489, 2488, 2487] by Super 42 with 554 at 1,2
% 0.22/0.54 Id : 691, {_}: multiply (multiply ?2487 (inverse ?2488)) (multiply (inverse ?2489) ?2488) =>= multiply ?2487 (inverse ?2489) [2489, 2488, 2487] by Demod 659 with 554 at 3
% 0.22/0.54 Id : 1163, {_}: double_divide (multiply (inverse ?3813) ?3814) (multiply ?3815 (inverse ?3814)) =?= double_divide (multiply (inverse ?3816) ?3816) (multiply ?3815 (inverse ?3813)) [3816, 3815, 3814, 3813] by Super 573 with 691 at 2,3
% 0.22/0.54 Id : 1186, {_}: double_divide (multiply (inverse ?3813) ?3814) (multiply ?3815 (inverse ?3814)) =>= double_divide (inverse ?3813) ?3815 [3815, 3814, 3813] by Demod 1163 with 573 at 3
% 0.22/0.54 Id : 1229, {_}: multiply (multiply (multiply (multiply ?3962 (inverse ?3963)) (inverse ?3964)) (multiply (inverse ?3965) ?3963)) (double_divide (inverse ?3965) ?3962) =>= inverse ?3964 [3965, 3964, 3963, 3962] by Super 34 with 1186 at 2,2
% 0.22/0.54 Id : 1257, {_}: multiply (multiply (multiply ?3962 (inverse ?3965)) (inverse ?3964)) (double_divide (inverse ?3965) ?3962) =>= inverse ?3964 [3964, 3965, 3962] by Demod 1229 with 42 at 1,2
% 0.22/0.54 Id : 1258, {_}: multiply (inverse ?3965) (multiply (inverse ?3964) ?3965) =>= inverse ?3964 [3964, 3965] by Demod 1257 with 80 at 2
% 0.22/0.54 Id : 1292, {_}: double_divide (multiply (inverse ?4140) ?4141) (inverse ?4141) =?= double_divide (multiply (inverse ?4142) ?4142) (inverse ?4140) [4142, 4141, 4140] by Super 573 with 1258 at 2,3
% 0.22/0.54 Id : 541, {_}: ?2120 =<= double_divide (multiply (inverse ?2121) ?2121) (inverse ?2120) [2121, 2120] by Demod 533 with 33 at 2
% 0.22/0.54 Id : 1310, {_}: double_divide (multiply (inverse ?4140) ?4141) (inverse ?4141) =>= ?4140 [4141, 4140] by Demod 1292 with 541 at 3
% 0.22/0.54 Id : 1295, {_}: multiply (inverse ?4152) (multiply (inverse ?4153) ?4152) =>= inverse ?4153 [4153, 4152] by Demod 1257 with 80 at 2
% 0.22/0.54 Id : 1304, {_}: multiply (inverse (multiply (inverse ?4186) ?4187)) (inverse ?4186) =>= inverse ?4187 [4187, 4186] by Super 1295 with 1258 at 2,2
% 0.22/0.54 Id : 1505, {_}: double_divide (inverse ?4724) (inverse (inverse ?4725)) =>= multiply (inverse ?4725) ?4724 [4725, 4724] by Super 1310 with 1304 at 1,2
% 0.22/0.54 Id : 1506, {_}: double_divide (inverse ?4727) (inverse (multiply ?4728 ?4729)) =>= multiply (inverse (double_divide ?4729 ?4728)) ?4727 [4729, 4728, 4727] by Super 1505 with 3 at 1,2,2
% 0.22/0.54 Id : 1519, {_}: double_divide (inverse ?4727) (inverse (multiply ?4728 ?4729)) =>= multiply (multiply ?4728 ?4729) ?4727 [4729, 4728, 4727] by Demod 1506 with 3 at 1,3
% 0.22/0.54 Id : 1507, {_}: double_divide (multiply ?4731 ?4732) (inverse (inverse ?4733)) =>= multiply (inverse ?4733) (double_divide ?4732 ?4731) [4733, 4732, 4731] by Super 1505 with 3 at 1,2
% 0.22/0.54 Id : 1638, {_}: inverse ?5021 =<= multiply (inverse ?5021) (double_divide ?5022 (inverse ?5022)) [5022, 5021] by Super 541 with 1507 at 3
% 0.22/0.54 Id : 2092, {_}: double_divide ?6045 (multiply (inverse ?6045) (inverse ?6046)) =>= ?6046 [6046, 6045] by Super 9 with 1638 at 2,2,2
% 0.22/0.54 Id : 2195, {_}: double_divide (inverse ?6169) (inverse (multiply (inverse ?6170) ?6170)) =>= ?6169 [6170, 6169] by Super 573 with 2092 at 3
% 0.22/0.54 Id : 2250, {_}: multiply (multiply (inverse ?6170) ?6170) ?6169 =>= ?6169 [6169, 6170] by Demod 2195 with 1519 at 2
% 0.22/0.54 Id : 2303, {_}: double_divide (inverse ?6514) (inverse ?6515) =<= multiply (multiply (multiply (inverse ?6516) ?6516) ?6515) ?6514 [6516, 6515, 6514] by Super 1519 with 2250 at 1,2,2
% 0.22/0.54 Id : 2321, {_}: double_divide (inverse ?6514) (inverse ?6515) =>= multiply ?6515 ?6514 [6515, 6514] by Demod 2303 with 2250 at 1,3
% 0.22/0.54 Id : 2108, {_}: double_divide (inverse ?6108) (inverse (double_divide ?6109 (inverse ?6109))) =>= ?6108 [6109, 6108] by Super 1310 with 1638 at 1,2
% 0.22/0.54 Id : 2131, {_}: double_divide (inverse ?6108) (multiply (inverse ?6109) ?6109) =>= ?6108 [6109, 6108] by Demod 2108 with 3 at 2,2
% 0.22/0.54 Id : 2605, {_}: multiply (multiply (multiply (multiply (inverse ?7184) ?7184) (inverse ?7185)) (inverse ?7186)) ?7186 =>= inverse ?7185 [7186, 7185, 7184] by Super 34 with 2131 at 2,2
% 0.22/0.54 Id : 2625, {_}: multiply (multiply (inverse ?7185) (inverse ?7186)) ?7186 =>= inverse ?7185 [7186, 7185] by Demod 2605 with 2250 at 1,1,2
% 0.22/0.54 Id : 1565, {_}: multiply (inverse (inverse ?4913)) (inverse ?4914) =>= inverse (multiply (inverse ?4913) ?4914) [4914, 4913] by Super 1258 with 1304 at 2,2
% 0.22/0.54 Id : 1567, {_}: multiply (inverse (multiply ?4920 ?4921)) (inverse ?4922) =>= inverse (multiply (inverse (double_divide ?4921 ?4920)) ?4922) [4922, 4921, 4920] by Super 1565 with 3 at 1,1,2
% 0.22/0.54 Id : 1617, {_}: multiply (inverse (multiply ?4920 ?4921)) (inverse ?4922) =>= inverse (multiply (multiply ?4920 ?4921) ?4922) [4922, 4921, 4920] by Demod 1567 with 3 at 1,1,3
% 0.22/0.54 Id : 2304, {_}: multiply (inverse ?6518) (inverse ?6519) =<= inverse (multiply (multiply (multiply (inverse ?6520) ?6520) ?6518) ?6519) [6520, 6519, 6518] by Super 1617 with 2250 at 1,1,2
% 0.22/0.54 Id : 2320, {_}: multiply (inverse ?6518) (inverse ?6519) =>= inverse (multiply ?6518 ?6519) [6519, 6518] by Demod 2304 with 2250 at 1,1,3
% 0.22/0.54 Id : 2687, {_}: multiply (inverse (multiply ?7402 ?7403)) ?7403 =>= inverse ?7402 [7403, 7402] by Demod 2625 with 2320 at 1,2
% 0.22/0.54 Id : 2217, {_}: double_divide ?6271 (multiply (inverse ?6271) (inverse ?6272)) =>= ?6272 [6272, 6271] by Super 9 with 1638 at 2,2,2
% 0.22/0.54 Id : 1927, {_}: inverse (multiply (multiply (inverse ?4186) ?4187) ?4186) =>= inverse ?4187 [4187, 4186] by Demod 1304 with 1617 at 2
% 0.22/0.54 Id : 2219, {_}: double_divide ?6278 (multiply (inverse ?6278) (inverse ?6279)) =?= multiply (multiply (inverse ?6280) ?6279) ?6280 [6280, 6279, 6278] by Super 2217 with 1927 at 2,2,2
% 0.22/0.54 Id : 2253, {_}: ?6279 =<= multiply (multiply (inverse ?6280) ?6279) ?6280 [6280, 6279] by Demod 2219 with 2092 at 2
% 0.22/0.54 Id : 2704, {_}: multiply (inverse ?7471) ?7472 =<= inverse (multiply (inverse ?7472) ?7471) [7472, 7471] by Super 2687 with 2253 at 1,1,2
% 0.22/0.54 Id : 2626, {_}: multiply (inverse (multiply ?7185 ?7186)) ?7186 =>= inverse ?7185 [7186, 7185] by Demod 2625 with 2320 at 1,2
% 0.22/0.54 Id : 2898, {_}: multiply (multiply (inverse ?7781) ?7782) ?7781 =>= inverse (inverse ?7782) [7782, 7781] by Super 2626 with 2704 at 1,2
% 0.22/0.54 Id : 2982, {_}: ?7782 =<= inverse (inverse ?7782) [7782] by Demod 2898 with 2253 at 2
% 0.22/0.54 Id : 2999, {_}: double_divide (multiply ?4731 ?4732) ?4733 =<= multiply (inverse ?4733) (double_divide ?4732 ?4731) [4733, 4732, 4731] by Demod 1507 with 2982 at 2,2
% 0.22/0.54 Id : 3005, {_}: inverse ?5021 =<= double_divide (multiply (inverse ?5022) ?5022) ?5021 [5022, 5021] by Demod 1638 with 2999 at 3
% 0.22/0.54 Id : 3007, {_}: double_divide ?2215 ?2216 =<= inverse (multiply ?2216 ?2215) [2216, 2215] by Demod 573 with 3005 at 3
% 0.22/0.54 Id : 3011, {_}: multiply (inverse ?7471) ?7472 =<= double_divide ?7471 (inverse ?7472) [7472, 7471] by Demod 2704 with 3007 at 3
% 0.22/0.54 Id : 3014, {_}: multiply (inverse (inverse ?6514)) ?6515 =>= multiply ?6515 ?6514 [6515, 6514] by Demod 2321 with 3011 at 2
% 0.22/0.54 Id : 3015, {_}: multiply ?6514 ?6515 =?= multiply ?6515 ?6514 [6515, 6514] by Demod 3014 with 2982 at 1,2
% 0.22/0.54 Id : 3084, {_}: multiply a b === multiply a b [] by Demod 1 with 3015 at 3
% 0.22/0.54 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.22/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.54 4919: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.18324 using nrkbo
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